U.S. patent application number 09/799691 was filed with the patent office on 2001-07-26 for magnetic-pole position detecting apparatus for a synchronous motor.
Invention is credited to Kaitani, Toshiyuki, Kinpara, Yoshihiko.
Application Number | 20010009359 09/799691 |
Document ID | / |
Family ID | 14236759 |
Filed Date | 2001-07-26 |
United States Patent
Application |
20010009359 |
Kind Code |
A1 |
Kinpara, Yoshihiko ; et
al. |
July 26, 2001 |
Magnetic-pole position detecting apparatus for a synchronous
motor
Abstract
The invention relates to a magnetic-pole position detecting
apparatus for a synchronous motor. An arithmetic section outputs
six kinds of voltage vectors having equal amplitudes and
equal-interval phases to a circuit section as a voltage vector
command. The circuit section makes the voltage vectors to be
applied to a synchronous motor, outputs a trigger signal to a
detection section each time after finishing the application of each
voltage vector, and makes a detection current of each phase to be
detected. Thereafter, the arithmetic section calculates and outputs
magnetic-pole positions at every 60/(2{circumflex over ()}k)
degrees (where k is a natural number) based on the detection
current. Each voltage vector is applied for a time period
sufficient enough for each phase winding to be magnetically
saturated in the order that the phases of each voltage vector
either increase monotonously or decrease monotonously. In detecting
the magnetic-pole positions, the arithmetic section generates an
added current value that is a result of an addition of current
values for each combination of every 180-degree different phases
from among current values that are in phase with the voltage
vectors. The arithmetic section specifies magnetic-pole positions
based on the added current values.
Inventors: |
Kinpara, Yoshihiko; (Tokyo,
JP) ; Kaitani, Toshiyuki; (Tokyo, JP) |
Correspondence
Address: |
LEYDIG VOIT & MAYER, LTD
700 THIRTEENTH ST. NW
SUITE 300
WASHINGTON
DC
20005-3960
US
|
Family ID: |
14236759 |
Appl. No.: |
09/799691 |
Filed: |
March 7, 2001 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
|
|
09799691 |
Mar 7, 2001 |
|
|
|
PCT/JP99/05112 |
Sep 20, 1999 |
|
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Current U.S.
Class: |
318/700 |
Current CPC
Class: |
H02P 6/18 20130101 |
Class at
Publication: |
318/700 |
International
Class: |
H02P 001/46; H02P
003/18; H02P 005/28; H02P 007/36 |
Claims
1. A magnetic-pole position detecting apparatus for a synchronous
motor comprising: a circuit unit which applies voltage vectors to
an n- (where n is a natural number of 3 or above) phase winding of
a synchronous motor based on a voltage vector command; a detecting
unit which detects currents on the n-phase winding generated by
voltage vectors applied from the circuit unit; and an arithmetic
unit which outputs the voltage vector command to the circuit unit,
applies a trigger signal to the detecting unit immediately after an
application of voltage vectors based on the voltage vector command,
thereby makes the detecting unit detect currents on the n-phase
winding, and calculates magnetic-pole positions of the synchronous
motor based on the detection currents, and outputs the result of
the calculation, wherein the arithmetic unit outputs to the circuit
unit the voltage vector command for applying 2n kinds of voltage
vectors with equal amplitudes and equal-interval phases to the
n-phase winding over the same time period, and calculates and
outputs magnetic-pole positions at every 60/(2{circumflex over
()}k) degrees (where k is a natural number) based on the current
values of the phases detected by the detecting unit.
2. A magnetic-pole position detecting apparatus for a synchronous
motor comprising: a circuit unit which applies voltage vectors to
an n- (where n is a natural number of 3 or above) phase winding of
a synchronous motor based on a voltage vector command; a detecting
unit which detects currents on the n-phase winding generated by
voltage vectors applied from the circuit unit; and an arithmetic
unit which outputs the voltage vector command to the circuit unit,
applies a trigger signal to the detecting unit immediately after an
application of voltage vectors based on the voltage vector command,
thereby makes the detecting unit detect currents on the n-phase
winding, and calculates magnetic-pole positions of the synchronous
motor based on the detection currents, and outputs the result of
the calculation, wherein the arithmetic unit outputs to the circuit
unit the voltage vector command for applying 2n kinds of voltage
vectors to the n-phase winding over the same time period in the
order of either a monotonous increase or a monotonous decrease in
the phases of the voltage vectors.
3. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 2, wherein the arithmetic unit calculates
and outputs a magnetic-pole position by applying to the n-phase
winding a voltage vector sufficiently larger than an induced
voltage that is generated by rotation of the rotor of the
synchronous motor, during the rotation of the rotor.
4. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 1, wherein the arithmetic unit outputs to
the circuit unit the voltage vector command for applying the
voltage vectors, over a time period sufficient enough for the
n-phase winding to be magnetically saturated.
5. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 1, wherein the arithmetic unit generates
an added current value that is a result of an addition of current
values for each combination of every 180-degree different phases
from among 2n current values that are in phase with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the added current value.
6. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 5, wherein the arithmetic unit outputs a
magnetic-pole position corresponding to the added current value of
which absolute value becomes maximum.
7. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 5, wherein the arithmetic unit outputs
magnetic-pole positions corresponding to respective signs of the
added current values.
8. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 1, wherein the arithmetic unit generates a
first added current value that is a result of an addition of
current values for each combination of every 180-degree different
phases from among 2n current values that are in phase with the 2n
kinds of voltage vectors, generates a second added current value
that is a result of an addition of current values for each
combination of every 180-degree different phases from among 2n
current values that have components orthogonal with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the first and second added current values.
9. The magnetic-pole position detecting apparatus for a synchronous
motor according to claim 8, wherein the arithmetic unit selects a
region of a magnetic-pole position corresponding to the first added
current value of which absolute value becomes maximum, and
specifies a magnetic-pole position by further narrowing the region
of the magnetic-pole position based on a large-and-small
relationship that uses the second added current value within the
selected region of the magnetic-pole position.
10. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 8, wherein the arithmetic unit
selects regions of magnetic-pole positions corresponding to
respective signs of the first added current value, and specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position.
11. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 8, wherein the arithmetic unit
selects a region of a magnetic-pole position corresponding to the
first added current value of which absolute value becomes maximum,
specifies a magnetic-pole position by further narrowing the region
of the magnetic-pole position based on a large-and-small
relationship that uses the second added current value within the
selected region of the magnetic-pole position, and further
specifies a magnetic-pole position by further narrowing the region
of the magnetic-pole position based on a new large-and-small
relationship that uses the second added current value.
12. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 8, wherein the arithmetic unit
selects regions of magnetic-pole positions corresponding to
respective signs of the first added current value, specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position, and further specifies a magnetic-pole
position by further narrowing the region of the magnetic-pole
position based on a new large-and-small relationship that uses the
second added current value.
13. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 8, wherein the arithmetic unit
generates a functional current value using a functional value that
includes the first or second added current value, and specifies a
region of the magnetic-pole position by further narrowing the
region based on a large-and-small relationship between the
functional current value and the first or second added current
value.
14. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 1, wherein the arithmetic unit
generates a first added current value that is a result of an
addition of current values for each combination of every 180-degree
different phases from among 2n current values that are in phase
with the 2n kinds of voltage vectors, generates a second added
current value that is a result of an addition of current values for
each combination of every 180-degree different phases from among 2n
current values that have components in phase with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the first and second added current values.
15. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 14, wherein the arithmetic
unit selects a region of a magnetic-pole position corresponding to
the first added current value of which absolute value becomes
maximum, and specifies a magnetic-pole position by further
narrowing the region of the magnetic-pole position based on a
large-and-small relationship that uses the second added current
value within the selected region of the magnetic-pole position.
16. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 14, wherein the arithmetic
unit selects regions of magnetic-pole positions corresponding to
respective signs of the first added current value, and specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position.
17. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 14, wherein the arithmetic
unit selects a region of a magnetic-pole position corresponding to
the first added current value of which absolute value becomes
maximum, specifies a magnetic-pole position by further narrowing
the region of the magnetic-pole position based on a large-and-small
relationship that uses the second added current value within the
selected region of the magnetic-pole position, and further
specifies a magnetic-pole position by further narrowing the region
of the magnetic-pole position based on a new large-and-small
relationship that uses the second added current value.
18. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 14, wherein the arithmetic
unit selects regions of magnetic-pole positions corresponding to
respective signs of the first added current value, specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position, and further specifies a magnetic-pole
position by further narrowing the region of the magnetic-pole
position based on a new large-and-small relationship that uses the
second added current value.
19. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 14, wherein the arithmetic
unit generates a functional current value using a functional value
that includes the first or second added current value, and
specifies a region of the magnetic-pole position by further
narrowing the region based on a large-and-small relationship
between the functional current value and the first or second added
current value.
20. The magnetic-pole position detecting apparatus for a
synchronous motor according to claim 1, wherein the arithmetic unit
calculates and outputs a magnetic-pole position by applying to the
n-phase winding a voltage vector sufficiently larger than an
induced voltage that is generated by rotation of the rotor of the
synchronous motor, during the rotation of the rotor.
Description
TECHNICAL FIELD
[0001] The present invention relates to a magnetic-pole position
detecting apparatus for a synchronous motor capable of detecting a
magnetic-pole position of a synchronous motor easily, securely and
in high precision.
BACKGROUND ART
[0002] In order to efficiently control a synchronous motor, it has
been a conventional practice to detect magnetic-pole positions of a
rotor of the synchronous motor. As a method for detecting a
magnetic-pole position of the synchronous motor, there has been a
method of directly detecting an electric angle (a magnetic-pole
position) of the rotor by using a position detector like an
encoder. However, in order to detect directly a rotation angle of
the rotor, it is necessary to add to the synchronous motor a sensor
exclusively used for detecting a magnetic-pole position like a
position detector. This has drawbacks in that the scale of the
apparatus becomes large which further leads to unsatisfactory
economics of the apparatus.
[0003] Therefore, there has been proposed an apparatus that detects
a magnetic-pole position of a synchronous motor without using a
position detector (reference Japanese Patent Application
(Laid-Open) No. 7-177788). FIG. 24 is a diagram showing a schematic
configuration of a conventional magnetic-pole position detecting
apparatus for a synchronous motor that does not use a position
detector. In FIG. 24, a synchronous motor 1 has a permanent-magnet
type rotor, and has a three-phase winding of U-phase, V-phase and
W-phase. An arithmetic section 102 outputs a voltage vector command
V to a circuit section 3, and outputs a trigger signal Tr to a
detection section 4. The circuit section 3 applies a voltage to
each phase of the synchronous motor 1 based on the input voltage
vector command V. The detection section 4 detects a current of each
phase at a rise timing of the trigger signal Tr, and outputs a
detection current Di to the arithmetic section 102. The arithmetic
section 102 calculates a magnetic-pole position .theta. of the
rotor based on the input detection current Di, and outputs a
calculated result.
[0004] FIG. 25 is a diagram showing a detailed structure of the
circuit section 3. In FIG. 25, the circuit section 3 has
semiconductor switches 5 to 10. Each pair of semiconductor switches
5 and 8, 6 and 9, and 7 and 10 respectively are connected in
series. Each pair of semiconductor switches 5 and 8, 6 and 9, and 7
and 10 respectively are connected in parallel with a DC voltage
source 11 that generates a phase potential Ed. An intermediate
point Pu for connecting between the semiconductors 5 and 8 is
connected to the U-phase of the synchronous motor 1. An
intermediate point Pv for connecting between the semiconductors 6
and 9 is connected to the V-phase of the synchronous motor 1. An
intermediate point Pw for connecting between the semiconductors 7
and 10 is connected to the W-phase of the synchronous motor 1. Each
of the semiconductor switches 5 to 10 has a corresponding one of
insulation gate type bipolar transistors (IGBT) Q1 to Q6 and a
corresponding one of diodes D1 to D6 connected in parallel. The
diodes are directed in sequence to a plus side of the DC voltage
source 11. Agate signal to be applied to a gate of each of the
IGBTs Q1 to Q6 forms a voltage vector command V, and this voltage
vector command V turns off/off corresponding transistors of the
IGBTs Q1 to Q6.
[0005] The voltage vector V has nine switching modes "0" to "8",
and the respective switching modes "0" to "8" are defined as
follows based on combinations of the IGBTs Q1 to Q6 to be turned
on.
[0006] Switching mode: Combination of the IGBTs Q1 to Q6 to be
turned on
[0007] "0": Nil
[0008] "1": Q1, Q5, Q6
[0009] "2": Q1, Q2, Q6
[0010] "3": Q4, Q2, Q6
[0011] "4": Q4, Q2, Q3
[0012] "5": Q4, Q5, Q3
[0013] "6": Q1, Q5, Q3
[0014] "7": Q1, Q2, Q3
[0015] "8": Q4, Q5, Q6
[0016] Voltage vectors V1 to V8 corresponding to the switching
modes "1" to "8" have phase differences of 60 degrees respectively,
with equal sizes as shown in FIG. 26. A size of the voltage vector
V1 will be obtained here, as one example. As the voltage vector V1
corresponds to the switching mode "1", the IGBTs Q1, Q5 and Q6 are
turned on, and the IGBTs Q4, Q2 and Q3 are turned off. Therefore, a
line voltage Vuv between the U-phase and the V-phase, a line
voltage Vuv between the V-phase and the W-phase, and a line voltage
Vwu between the W-phase and the U-phase are given by the following
equations (1) to (3) respectively.
Vuv=Vu-Vv=Ed (1)
Vvw=Vv-Vw=0 (2)
Vwu=Vw-Vu=-Ed (3)
[0017] where, "Vu" represents a phase of the U-phase (a potential
of the intermediate point Pu), "Vv" represents a phase of the
V-phase (a potential of the intermediate point Pv), and "Vw"
represents a phase of the W-phase (a potential of the intermediate
point Pw).
[0018] Further, from the equations (1) to (3), the potentials Vu to
Vw are obtained as given by the following equations (4) to (6)
respectively.
Vu=2/3*Ed (4)
Vv=-1/3*Ed (5)
Vw=-1/3*Ed (6)
[0019] Therefore, a direction of the voltage vector V1 becomes the
direction of the U-phase as shown in FIG. 26. Further, a size
.vertline.V1.vertline. of the voltage vector V1 is expressed as
given by the following equation (7).
.vertline.V1=2/3*Ed-1/3*Ed cos(120 degrees)-1/3*Edcos(240
degrees)=Ed (7)
[0020] Directions and sizes of other voltage vectors V2 to V6 can
be obtained by carrying out similar calculations to those of the
voltage vector V1. As shown in FIG. 26, directions of the voltage
vectors V2 to V6 have phase differences of 60 degrees respectively
sequentially from the U-phase, and their sizes become Ed. Further,
the voltage vector V7 and V8 become voltage vectors having sizes 0
respectively as shown in FIG. 26.
[0021] Voltages corresponding to these voltage vectors V1 to V6 are
applied to the U-phase, the V-phase and the W-phase of the
synchronous motor 1 respectively. In this case, the detection
section 4 detects a current that flows through each phase at the
rise timing of the trigger signal Tr. FIG. 27 is a block diagram
showing a detailed structure of the detection section 4. In FIG.
27, current detectors 12 to 14 detect currents that flow through
the U-phase, the V-phase and the W-phase respectively, and output
the detection currents to output processing sections 15 to 17
respectively. The output processing sections 15 to 17 have sample
holding circuits 15a to 17a and A/D converters 15b to 17b
respectively. The sample holding circuits 15a to 17a hold samples
of the current values detected by the current detectors 12 to 14
respectively at the rise timing of the trigger signal Tr input from
the arithmetic section 102. The A/D converters 15b to 17b convert
analog signals held by the sample holding circuits 15a to 17a into
digital signals respectively, and output a current iu of the
U-phase, a current iv of the V-phase, and a current iw of the
W-phase respectively, which are collectively output as a detection
current Di to the arithmetic section 2.
[0022] A relationship between the voltage vector command V, the
trigger signal Tr and the detection current Di will be explained
next with reference to a timing chart shown in FIG. 28. In FIG. 28,
the arithmetic section 102 first sequentially outputs voltage
vectors V0, V1, V0, V3, V0, V5, and V0 in this order to the circuit
section 3 as the voltage vector command V, when the synchronous
motor 1 is in the halted state and also when the current of each
phase is zero. At the same time, the arithmetic section 102 outputs
the trigger signal Tr to the detection section 4 immediately after
finishing the application of each voltage vector. As explained
above, the circuit section 3 sequentially applies the voltage
vectors V0, V1, V0, V3, V0, V5, and V0 in this order to the
synchronous motor 1 based on the voltage vector command V. The
application time of each of the voltage vectors V1, V3 and V5 is
set to a sufficiently short time within a time range in which the
synchronous motor 1 is not magnetically saturated. The output
processing sections 15 to 17 of the detection section 4 sample the
currents of the respective phases, that is, the currents iu, iv and
iw, at the rise timing of the trigger signal Tr, and output
currents iu1 to iu3 of the U-phase, currents iv1 to iv3 of the
V-phase, and currents iw1 to iw3 of the W-phase as detection
results respectively to the arithmetic section 102. The current iu1
of the U-phase, the current iv1 of the V-phase and the current iw1
of the W-phase are the currents detected by the trigger signal Tr
that is applied immediately after the voltage vector V1. The
current iu2 of the U-phase, the current iv2 of the V-phase and the
current iw2 of the W-phase are the currents detected by the trigger
signal Tr that is applied immediately after the voltage vector V2.
The current iu3 of the U-phase, the current iv3 of the V-phase and
the current iw3 of the W-phase are the currents detected by the
trigger signal Tr that is applied immediately after the voltage
vector V3.
[0023] The magnetic-pole position .theta. of the rotor of the
synchronous motor 1 and the currents iu1, iv2 and iw3 have a
relationship as shown in FIG. 29. Looking at a range of the
magnetic-pole positions .theta. from 0 to 18 degrees, the
magnetic-pole positions .theta. can be divided into six sections at
every 30 degrees based on large-and-small relationships of the
currents iu1, iv2 and iw3. The six divided regional sections of the
magnetic-pole positions .theta. are expressed as follows with
section numbers attached to the respective sections.
1 number m Section relationship 1 0 to 30 degrees iu1 > iw3 >
iv2 2 30 to 60 degrees iw3 > iu1 > iv2 3 60 to 90 degrees iw3
> iv2 > iu1 4 90 to 120 degrees iv2 > iw3 > iu1 5 120
to 150 degrees iv2 > iu1 > iw3 6 150 to 180 degrees iu1 >
iv2 > iw3
[0024] Therefore, it is possible to obtain the magnetic-pole
positions .theta. at every 30 degrees based on the large-and-small
relationships of the currents iu1, iv2 and iw3 when the
magnetic-pole positions .theta. are within the range from 0 to 180
degrees. In order to obtain a specific magnetic-pole position
.theta., this is calculated from the following equation (8).
0=(m-1).times.30+15+f(m).times.(iav-im).times.k (8)
[0025] Among the current values of the currents iu1, iv2 and iw3 in
each section of the 30 degree unit, any one of the currents iu1,
iv2 and iw3 that has an intermediate current value is regarded as a
straight line in this section. For example, the current iw3 in the
section of the magnetic-pole positions .theta. from 0 to 30 degrees
is regarded as a straight line. A current iav is an average value
of the currents iu1, iv2 and iw3. A current im is a current
approximated by a straight line in this section number m, and a
coefficient k is an inclination of this straight line. When section
numbers are 1, 3 and 5, f(m)=1. When section numbers are 2, 4 and
6, f (m)=-1.
[0026] A magnetic-pole position .theta.0 can be specified as
one-point magnetic-pole position .theta. instead of a section
within the range from 0 to 18 degrees based on this equation (8).
As the magnetic-pole position .theta. changes in the 180 degree
period as shown in FIG. 29, the magnetic-pole position .theta. is
determined uniquely by using magnetic saturation for the whole
angles of 360 degrees.
[0027] For example, when the section number m is "1", the
magnetic-pole position .theta. is either in the section of 0 to 30
degrees or in the section of 180 to 210 degrees. Therefore, it is
not possible to uniquely specify the magnetic-pole position
.theta.. In this case, the section of the magnetic-pole position
.theta. is selectively determined by applying the voltage vectors
V1 and V4 having a long application time for generating a magnetic
saturation is applied to the synchronous motor 1 as shown in FIG.
17.
[0028] More specifically, when there is no magnetic saturation
generated, the absolute values of the currents iu4 and iu5 become
equal. However, the magnetic flux generated when the voltage
vectors V1 and V4 near the magnetic-pole position have been applied
works in a direction to increase the magnetism of the magnetic flux
of the rotor of the synchronous motor 1. Thus, when a magnetic
saturation is generated, the inductance of the coil of the
synchronous motor 1 decreases. Therefore, when a magnetic
saturation has been generated, a current when the voltage vector V1
or V4 of a phase near the magnetic-pole position .theta. has been
applied has a larger value than a current when the voltage vector
V1 or V4 of a phase 180 degrees different from the phase near the
magnetic-pole position .theta. has been applied.
[0029] As a result, when the magnetic-pole position .theta. is
either in the section of 0 to 30 degrees or in the section of 180
to 210 degrees, it is decided that the magnetic-pole position
.theta. is in the region of 0 to 30 degrees, when the size
.vertline.iu4.vertline. of the current iu4 is larger than the size
.vertline.iu5.vertline. of the current iu5. Thus, the magnetic-pole
position .theta. obtained from the equation (8) is output directly.
When the size .vertline.iu4.vertline. of the current iu4 is smaller
than the size .vertline.iu5.vertline. of the current iu5, it is
decided that the magnetic-pole position .theta. is in the section
of 180 to 210 degrees. In this case, 180 degrees is added to the
magnetic-pole position .theta. obtained from the equation (8), and
the result is output.
[0030] Similarly, when the section numbers m are "2" to "6", the
magnetic-pole positions .theta. in the range of 0 to 180 degrees
are obtained based on the equation (8). Thereafter, the voltage
vectors corresponding to the section numbers are applied with a
long application time for generating a magnetic saturation. Then, a
relationship of the magnetic-pole positions of 180 degrees is
decided using a large-and-small relationship of the absolute values
of the voltage vectors. Thus, the magnetic-pole positions .theta.
are uniquely specified over the whole angles.
[0031] However, according to the above-described conventional
magnetic-pole position detecting apparatus for a synchronous motor,
as the magnetic-pole position .theta. is first obtained within a
large range of 180 degrees, it has been necessary to apply a
voltage vector having an application time not sufficient for
generating a magnetic saturation in the coil of the synchronous
motor 1. As the currents iu1, iv2 and iw3 that are detected by the
application of the voltage vector having an application time not
sufficient for generating a magnetic saturation have small
amplitudes, the signals of the currents iu1, iv2 and iw3 are easily
affected by noise. Therefore, there is a potential that an
erroneous amplitude is output. Further, there is a potential that a
cancellation occurs when the A/D converters 15b to 17b convert
analog signals into digital signals. Therefore, there is a case
where it is not possible to detect the currents iu1, iv2 and iw3 in
high precision. As a result, there has been a problem in that it is
not possible to detect correctly the magnetic-pole positions
.theta..
[0032] Further, according to the above-described conventional
magnetic-pole position detecting apparatus for a synchronous motor,
as the magnetic-pole positions .theta. are specified uniquely
within the range from 0 to 360 degrees by using a magnetic
saturation, two kinds of voltage vectors having an application time
for generating a magnetic saturation have been applied. However, in
this case, the influence of hysteresis characteristic of a coil is
not taken into consideration. Actual amplitude of the detection
current is influenced by the hysteresis characteristic of a coil of
the synchronous motor, and is also dependent on the sequence of
applying the voltage vectors. For example, in the case of the size
.vertline.iu4.vertline. of the current iu4 and the size
.vertline.iu5.vertline. of the current iu5, the size
.vertline.iu5.vertline. becomes smaller than the size
.vertline.iu4.vertline. because of the influence of a nonlinear
characteristic of the hysteresis characteristic. Therefore, making
a decision of ranges with 180-degree different phases and uniquely
specifying magnetic-pole positions .theta. based on a simple
comparison between the size .vertline.iu4.vertline. and the size
.vertline.iu5.vertline. has had a problem in that there occurs an
erroneous detection of the magnetic-pole positions .theta..
[0033] Therefore, it is an object of the present invention to
provide a magnetic-pole position detecting apparatus for a
synchronous motor capable of detecting a magnetic-pole position of
the synchronous motor easily, securely and in high precision.
DISCLOSURE OF THE INVENTION
[0034] In order to achieve the above object, according to a first
aspect of the present invention, there is provided a magnetic-pole
position detecting apparatus for a synchronous motor comprising: a
circuit unit which applies voltage vectors to an n- (where n is a
natural number of 3 or above) phase winding of a synchronous motor
based on a voltage vector command; a detecting unit which detects
currents on the n-phase winding generated by voltage vectors
applied from the circuit unit; and an arithmetic unit which outputs
the voltage vector command to the circuit unit, applies a trigger
signal to the detecting unit immediately after an application of
voltage vectors based on the voltage vector command, thereby makes
the detecting unit detect currents on the n-phase winding, and
calculates magnetic-pole positions of the synchronous motor based
on the detection currents, and outputs the result of the
calculation, wherein the arithmetic unit outputs to the circuit
unit the voltage vector command for applying 2n kinds of voltage
vectors with equal amplitudes and equal-interval phases to the
n-phase winding over the same time period, and calculates and
outputs magnetic-pole positions at every 60/(2{circumflex over
()}k) degrees (where k is a natural number) based on the current
values of the phases detected by the detecting unit.
[0035] According to the above aspect, the arithmetic unit outputs
to the circuit unit the voltage vector command for applying 2n
kinds of voltage vectors with equal amplitudes and equal-interval
phases to the n-phase winding over the same time period, and
calculates and outputs magnetic-pole positions at every
60/(2{circumflex over ()}k) degrees (where k is a natural number)
based on the current values of the phases detected by the detecting
unit. Therefore, it is possible to detect magnetic-pole positions
in the precision of .+-.60/(2{circumflex over ()}(k+1)).
[0036] Further, according to a second aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor comprising: a circuit unit which applies
voltage vectors to an n- (where n is a natural number of 3 or
above) phase winding of a synchronous motor based on a voltage
vector command; a detecting unit which detects currents on the
n-phase winding generated by voltage vectors applied from the
circuit unit; and an arithmetic unit which outputs the voltage
vector command to the circuit unit, applies a trigger signal to the
detecting unit immediately after an application of voltage vectors
based on the voltage vector command, thereby makes the detecting
unit detect currents on the n-phase winding, and calculates
magnetic-pole positions of the synchronous motor based on the
detection currents, and outputs the result of the calculation,
wherein the arithmetic unit outputs to the circuit unit the voltage
vector command for applying 2n kinds of voltage vectors to the
n-phase winding over the same time period in the order of either a
monotonous increase or a monotonous decrease in the phases of the
voltage vectors.
[0037] According to the above aspect, the arithmetic unit outputs
to the circuit unit the voltage vector command for applying 2n
kinds of voltage vectors to the n-phase winding over the same time
period in the order of either a monotonous increase or a monotonous
decrease in the phases of the voltage vectors. Therefore, it is
possible to suppress the influence of nonlinear elements like the
hysteresis characteristic of the synchronous motor, and it is also
possible to detect magnetic-pole positions in high precision.
[0038] Further, according to a third aspect of the invention, there
is provided a magnetic-pole position detecting apparatus for a
synchronous motor of the above aspect, wherein the arithmetic unit
outputs to the circuit unit the voltage vector command for applying
the voltage vectors, over a time period sufficient enough for the
n-phase winding to be magnetically saturated.
[0039] According to the above aspect, the arithmetic unit outputs
to the circuit unit the voltage vector command for applying the
voltage vectors, over a time period sufficient enough for the
n-phase winding to be magnetically saturated. Therefore, it is
possible to detect magnetic-pole positions in high precision by
detecting a change in the inductance due to a magnetic
saturation.
[0040] Further, according to a fourth aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit generates an added current value that is a result of an
addition of current values for each combination of every 180-degree
different phases from among 2n current values that are in phase
with the 2n kinds of voltage vectors, and calculates and outputs
magnetic-pole positions at every 60/(2{circumflex over ()}k)
degrees (where k is a natural number) based on the added current
value.
[0041] According to the above aspect, the arithmetic unit generates
an added current value that is a result of an addition of current
values for each combination of every 180-degree different phases
from among 2n current values that are in phase with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the added current value. Therefore, it is possible
to suppress a change in the inductance due to the saliency of the
synchronous motor. As a result, it is possible to detect
magnetic-pole positions in high precision.
[0042] Further, according to a fifth aspect of the invention, there
is provided a magnetic-pole position detecting apparatus for a
synchronous motor of the above aspect, wherein the arithmetic unit
outputs a magnetic-pole position corresponding to the added current
value of which absolute value becomes maximum.
[0043] According to the above aspect, the arithmetic unit outputs a
magnetic-pole position corresponding to the added current value of
which absolute value becomes maximum. Therefore, it is possible to
detect magnetic-pole positions easily and correctly.
[0044] Further, according to a sixth aspect of the invention, there
is provided a magnetic-pole position detecting apparatus for a
synchronous motor of the above aspect, wherein the arithmetic unit
outputs magnetic-pole positions corresponding to respective signs
of the added current values.
[0045] According to the above aspect, the arithmetic unit outputs
magnetic-pole positions corresponding to respective signs of the
added current values. Therefore, it is possible to detect
magnetic-pole positions easily and correctly.
[0046] Further, according to a seventh aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit generates a first added current value that is a result of an
addition of current values for each combination of every 180-degree
different phases from among 2n current values that are in phase
with the 2n kinds of voltage vectors, generates a second added
current value that is a result of an addition of current values for
each combination of every 180-degree different phases from among 2n
current values that have components orthogonal with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the first and second added current values.
[0047] According to the above aspect, the arithmetic unit generates
a first added current value that is a result of an addition of
current values for each combination of every 180-degree different
phases from among 2n current values that are in phase with the 2n
kinds of voltage vectors, generates a second added current value
that is a result of an addition of current values for each
combination of every 180-degree different phases from among 2n
current values that have components orthogonal with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the first and second added current values.
Therefore, it is possible to suppress the influence of nonlinear
elements like a magnetic saturation, and it is also possible to
detect a change in the inductance due to the saliency of the
synchronous motor. As a result, it is possible to detect
magnetic-pole positions in high precision.
[0048] Further, according to an eighth aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit generates a first added current value that is a result of an
addition of current values for each combination of every 180-degree
different phases from among 2n current values that are in phase
with the 2n kinds of voltage vectors, generates a second added
current value that is a result of an addition of current values for
each combination of every 180-degree different phases from among 2n
current values that have components in phase with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the first and second added current values.
[0049] According to the above aspect, the arithmetic unit generates
a first added current value that is a result of an addition of
current values for each combination of every 180-degree different
phases from among 2n current values that are in phase with the 2n
kinds of voltage vectors, generates a second added current value
that is a result of an addition of current values for each
combination of every 180-degree different phases from among 2n
current values that have components in phase with the 2n kinds of
voltage vectors, and calculates and outputs magnetic-pole positions
at every 60/(2{circumflex over ()}k) degrees (where k is a natural
number) based on the first and second added current values.
Therefore, it is possible to suppress the influence of nonlinear
elements like a magnetic saturation, and it is also possible to
detect a change in the inductance due to the saliency of the
synchronous motor. As a result, it is possible to detect
magnetic-pole positions in high precision.
[0050] Further, according to a ninth aspect of the invention, there
is provided a magnetic-pole position detecting apparatus for a
synchronous motor of the above aspect, wherein the arithmetic unit
selects a region of a magnetic-pole position corresponding to the
first added current value of which absolute value becomes maximum,
and specifies a magnetic-pole position by further narrowing the
region of the magnetic-pole position based on a large-and-small
relationship that uses the second added current value within the
selected region of the magnetic-pole position.
[0051] According to the above aspect, the arithmetic unit selects a
region of a magnetic-pole position corresponding to the first added
current value of which absolute value becomes maximum, and
specifies a magnetic-pole position by further narrowing the region
of the magnetic-pole position based on a large-and-small
relationship that uses the second added current value within the
selected region of the magnetic-pole position. Therefore, it is
possible to narrow the range of the magnetic-pole position in high
precision. As a result, it is possible to detect magnetic-pole
positions in high precision.
[0052] Further, according to a tenth aspect of the invention, there
is provided a magnetic-pole position detecting apparatus for a
synchronous motor of the above aspect, wherein the arithmetic unit
selects regions of magnetic-pole positions corresponding to
respective signs of the first added current value, and specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position.
[0053] According to the above aspect, the arithmetic unit selects
regions of magnetic-pole positions corresponding to respective
signs of the first added current value, and specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position. Therefore, it is possible to narrow the
range of the magnetic-pole position in high precision. As a result,
it is possible to detect magnetic-pole positions in high
precision.
[0054] Further, according to an eleventh aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit selects a region of a magnetic-pole position corresponding to
the first added current value of which absolute value becomes
maximum, specifies a magnetic-pole position by further narrowing
the region of the magnetic-pole position based on a large-and-small
relationship that uses the second added current value within the
selected region of the magnetic-pole position, and further
specifies a magnetic-pole position by further narrowing the region
of the magnetic-pole position based on a new large-and-small
relationship that uses the second added current value.
[0055] According to the above aspect, the arithmetic unit selects a
region of a magnetic-pole position corresponding to the first added
current value of which absolute value becomes maximum, specifies a
magnetic-pole position by further narrowing the region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position, and further specifies a magnetic-pole
position by further narrowing the region of the magnetic-pole
position based on a new large-and-small relationship that uses the
second added current value. Therefore, it is possible to narrow the
range of the magnetic-pole position in high precision. As a result,
it is possible to detect magnetic-pole positions in high
precision.
[0056] Further, according to a twelfth aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit selects regions of magnetic-pole positions corresponding to
respective signs of the first added current value, specifies a
magnetic-pole position by further narrowing each region of the
magnetic-pole position based on a large-and-small relationship that
uses the second added current value within the selected region of
the magnetic-pole position, and further specifies a magnetic-pole
position by further narrowing the region of the magnetic-pole
position based on a new large-and-small relationship that uses the
second added current value.
[0057] According to the above aspect, the arithmetic unit selects
regions of magnetic-pole positions corresponding to respective
signs of the first added current value, specifies a magnetic-pole
position by further narrowing each region of the magnetic-pole
position based on a large-and-small relationship that uses the
second added current value within the selected region of the
magnetic-pole position, and further specifies a magnetic-pole
position by further narrowing the region of the magnetic-pole
position based on a new large-and-small relationship that uses the
second added current value. Therefore, it is possible to narrow the
range of the magnetic-pole position in high precision. As a result,
it is possible to detect magnetic-pole positions in high
precision.
[0058] Further, according to a thirteenth aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit generates a functional current value using a functional value
that includes the first or second added current value, and
specifies a region of the magnetic-pole position by further
narrowing the region based on a large-and-small relationship
between the functional current value and the first or second added
current value.
[0059] According to the above aspect, the arithmetic unit generates
a functional current value using a functional value that includes
the first or second added current value, and specifies a region of
the magnetic-pole position by further narrowing the region based on
a large-and-small relationship between the functional current value
and the first or second added current value. Therefore, it is
possible to extremely narrow the range of the magnetic-pole
position. As a result, it is possible to detect magnetic-pole
positions in higher precision.
[0060] Further, according to a fourteenth aspect of the invention,
there is provided a magnetic-pole position detecting apparatus for
a synchronous motor of the above aspect, wherein the arithmetic
unit calculates and outputs a magnetic-pole position by applying to
the n-phase winding a voltage vector sufficiently larger than an
induced voltage that is generated by rotation of the rotor of the
synchronous motor, during the rotation of the rotor.
[0061] According to the above aspect, the arithmetic unit
calculates and outputs a magnetic-pole position by applying to the
n-phase winding a voltage vector sufficiently larger than an
induced voltage that is generated by rotation of the rotor of the
synchronous motor, during the rotation of the rotor. Therefore, it
is possible to detect magnetic-pole positions in high precision
even when the synchronous motor is in rotation.
BRIEF DESCRIPTION OF THE DRAWINGS
[0062] FIG. 1 is a block diagram showing a schematic configuration
of a magnetic-pole position detecting apparatus for a synchronous
motor in a first embodiment of the present invention;
[0063] FIG. 2 is a circuit diagram showing a detailed structure of
a circuit section 3 shown in FIG. 1;
[0064] FIG. 3 is a block diagram showing a detailed structure of a
detection section 4 shown in FIG. 1;
[0065] FIG. 4 is a block diagram showing a detailed structure of an
arithmetic section 2 shown in FIG. 1;
[0066] FIG. 5 is a timing chart showing a voltage vector command, a
trigger signal, and a detection current of each phase;
[0067] FIG. 6 is a diagram showing changes in currents .DELTA.iu,
.DELTA.iv and .DELTA.iw at magnetic-pole positions .theta. when
voltage vectors V1 to V6 are applied in the order of an increase
and a decrease in the phases of the voltage vectors V1 to V6;
[0068] FIG. 7 is a diagram showing changes in currents .DELTA.iu,
.DELTA.iv and .DELTA.iw at magnetic-pole positions .theta. when
voltage vectors V1 to V6 are applied in the order of a monotonous
increase in the phases of the voltage vectors V1 to V6;
[0069] FIG. 8 is a flowchart showing a detection processing
procedure of magnetic-pole positions .theta. by the arithmetic
section 2 in the first embodiment;
[0070] FIG. 9 is a diagram showing a relationship among axes of a
U-phase, a V-phase and a W-phase and an axis orthogonal with the
axis of the U-phase;
[0071] FIG. 10 is a diagram showing a relationship among currents
iux, ivx, and iwx and magnetic-pole positions .theta.;
[0072] FIG. 11 is a flowchart (part 1) showing a detection
processing procedure of magnetic-pole positions .theta. by an
arithmetic section 2 in a second embodiment of the present
invention;
[0073] FIG. 12 is a flowchart (part 2) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the second embodiment of the present
invention;
[0074] FIG. 13 is a flowchart (part 1) showing a detection
processing procedure of magnetic-pole positions .theta. by an
arithmetic section 2 in a third embodiment of the present
invention;
[0075] FIG. 14 is a flowchart (part 2) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the third embodiment of the present
invention;
[0076] FIG. 15 is a flowchart (part 1) showing a detection
processing procedure of magnetic-pole positions .theta. by an
arithmetic section 2 in a fourth embodiment of the present
invention;
[0077] FIG. 16 is a flowchart (part 2) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the fourth embodiment of the present
invention;
[0078] FIG. 17 is a flowchart (part 3) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the fourth embodiment of the present
invention;
[0079] FIG. 18 is a diagram showing a relationship among
magnetic-pole positions .theta., currents iux, ivx, and iwx used in
a fifth embodiment of the present invention, and new functional
values using the currents iux, ivx, and iwx;
[0080] FIG. 19 is a flowchart (part 1) showing a detection
processing procedure of magnetic-pole positions .theta. by an
arithmetic section 2 in the fifth embodiment of the present
invention;
[0081] FIG. 20 is a flowchart (part 2) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the fifth embodiment of the present
invention;
[0082] FIG. 21 is a flowchart (part 3) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the fifth embodiment of the present
invention;
[0083] FIG. 22 is a flowchart (part 4) showing the detection
processing procedure of magnetic-pole positions .theta. by the
arithmetic section 2 in the fifth embodiment of the present
invention;
[0084] FIG. 23 is a diagram showing a relationship among currents
iuz, ivz, and iwz and magnetic-pole positions .theta.;
[0085] FIG. 24 is a block diagram showing a structure of a
conventional magnetic-pole position detecting apparatus for a
synchronous motor;
[0086] FIG. 25 is a circuit diagram showing a detailed structure of
a circuit section 3 shown in FIG. 24;
[0087] FIG. 26 is a diagram showing a relationship among a U-phase,
a V-phase, and a W-phase and voltage vectors V1 to V8;
[0088] FIG. 27 is a block diagram showing a detailed structure of a
detection section 4 shown in FIG. 24;
[0089] FIG. 28 is a timing chart of a voltage vector command, a
trigger signal, and a detection current of each phase in the
conventional magnetic-pole position detecting apparatus shown in
FIG. 24; and
[0090] FIG. 29 is a diagram showing changes in currents iu1, iv2,
and iw3 at magnetic-pole positions .theta..
BEST MODE FOR CARRYING OUT THE INVENTION
[0091] The present invention will be explained in detail below with
reference to the attached drawings.
[0092] A first embodiment will be explained first. FIG. 1 is a
block diagram showing a schematic configuration of a magnetic-pole
position detecting apparatus for a synchronous motor in a first
embodiment of the present invention. In FIG. 1, the magnetic-pole
position detecting apparatus for a synchronous motor in the first
embodiment has an identical structure to that of the conventional
magnetic-pole position detecting apparatus for a synchronous motor
shown in FIG. 24, except the structure of the arithmetic section
102 in the magnetic-pole position detecting apparatus for the
synchronous motor shown in FIG. 24.
[0093] A synchronous motor 1 has a permanent-magnet type rotor not
shown, and has a three-phase winding of U-phase, V-phase and
W-phase. An arithmetic section 2 outputs a voltage vector command V
to a circuit section 3, and outputs a trigger signal Tr to a
detection section 4. The circuit section 3 applies a voltage to
each phase of the synchronous motor 1 based on the input voltage
vector command V. The detection section 4 detects a current of each
phase at a rise timing of the trigger signal Tr, and outputs a
detection current Di to the arithmetic section 2. The arithmetic
section 2 calculates a magnetic-pole position .theta. of the rotor
based on the input detection current Di, and outputs a calculated
result.
[0094] FIG. 2 is a diagram showing a detailed structure of the
circuit section 3. In FIG. 2, the circuit section 3 has
semiconductor switches 5 to 10. Each pair of semiconductor switches
5 and 8, 6 and 9, and 7 and 10 respectively are connected in
series. Each pair of semiconductor switches 5 and 8, 6 and 9, and 7
and 10 respectively are connected in parallel with a DC voltage
source 11 that generates a phase potential Ed. An intermediate
point Pu for connecting between the semiconductors 5 and 8 is
connected to the U-phase of the synchronous motor 1. An
intermediate point Pv for connecting between the semiconductors 6
and 9 is connected to the V-phase of the synchronous motor 1. An
intermediate point Pw for connecting between the semiconductors 7
and 10 is connected to the W-phase of the synchronous motor 1. Each
of the semiconductor switches 5 to 10 has a corresponding one of
IGBT Q1 to Q6 as semiconductor power switching elements and a
corresponding one of diodes D1 to D6 connected in parallel. The
diodes are directed in sequence to a plus side of the DC voltage
source 11. Agate signal to be applied to a gate of each of the
IGBTs Q1 to Q6 forms a voltage vector command V, and this voltage
vector command V turns off/off corresponding transistors of the
IGBTs Q1 to Q6.
[0095] The voltage vector V has voltage vectors V1 to V8
corresponding to the switching modes "1" to "8" respectively. The
voltage vectors V1 to V6 have phase differences of 60 degrees
respectively, with equal sizes as shown in FIG. 26. The voltage
vectors V7 and V8 are the voltage vectors having zero sizes as
shown in FIG. 26. A voltage vector V0 means that all the IGBTs Q1
to Q6 are in the off state.
[0096] Voltages corresponding to the voltage vectors V1 to V6 are
applied to the U-phase, the V-phase and the W-phase of the
synchronous motor 1 respectively. In this case, the detection
section 4 detects a current that flows through each phase at the
rise timing of the trigger signal Tr. FIG. 3 is a block diagram
showing a detailed structure of the detection section 4. In FIG. 3,
current detectors 12 to 14 detect currents that flow through the
U-phase, the V-phase and the W-phase respectively, and output the
detection currents to output processing sections 15 to 17
respectively. The output processing sections 15 to 17 have sample
holding circuits 15a to 17a and A/D converters 15b to 17b
respectively. The sample holding circuits 15a to 17a hold samples
of the current values detected by the current detectors 12 to 14
respectively at the rise timing of the trigger signal Tr input from
the arithmetic section 102. The A/D converters 15b to 17b convert
analog signals held by the sample holding circuits 15a to 17a into
digital signals respectively, and output a current iu of the
U-phase, a current iv of the V-phase, and a current iw of the
W-phase respectively, which are collectively output as a detection
current Di to the arithmetic section 2.
[0097] FIG. 4 is a block diagram showing a detailed structure of
the detection section 2. In FIG. 4, a CPU 19 makes the following
outputs based on a predetermined program held in a memory 20
respectively. The CPU19 outputs a voltage vector command V to the
circuit section 3 via an output circuit 21, and outputs a trigger
signal Tr to the detection section 4 via an output circuit 22. When
the detection section 4 has input a detection current Di to an
input circuit 18, the CPU 19 carries out a processing to be
described later based on the detection current Di. The CPU 19 then
specifies a magnetic-pole position .theta., and outputs the
magnetic-pole position .theta. to the outside via an output circuit
23.
[0098] FIG. 5 is a timing chart showing a relationship among a
voltage vector command V, a trigger signal Tr, and a detection
current Di. In FIG. 5, the detection section 2 outputs to the
circuit section 3 a voltage vector command V having voltage vectors
in the order of V0, V1, V0, V2, V0, V3, V0, V4, V0, V5, V0, V6, and
V6. Then, the circuit section 3 sequentially applies voltages
corresponding to this voltage vector V, to the synchronous motor 1.
The application time of the voltage vector V1 to V6 is sufficient
enough for the coil of the synchronous motor 1 to be magnetically
saturated. Thus, the coil of the synchronous motor 1 is
magnetically saturated by the application of the voltage vectors V1
to V6.
[0099] Immediately after finishing the application of the voltage
vectors V1 to V6, the arithmetic section 2 outputs trigger signals
Tr to the detection section 4. The detection section 4 detects
currents iu (iu1 to iu6), iv (iv1 to iv6), and iw (iw1 to iw6) of
the respective phases at a rise timing of each trigger signal Tr,
and outputs a result to the arithmetic section 2.
[0100] A current .DELTA.iu that is a sum of the amplitudes of a
current .DELTA.iu that has been detected when the voltage vector V1
of which phase is equal to the U-phase has been applied, and a
current .DELTA.iu that has been detected when the voltage vector V4
of which phase is 180 degrees different from that of the voltage
vector V1 (reference FIG. 26) has been applied, is defined by the
following equation (9). In this case, the voltage vectors V1 to V6
are applied in the order of V1, V2, V3, V4, V5 and V6. Therefore,
the current .DELTA.iu detected when the voltage vector V1 has been
applied is the current iu1, and the current .DELTA.iu detected when
the voltage vector V4 has been applied is the current iu4. Thus,
the current .DELTA.iu can be expressed as follows.
.DELTA.iu=iu1+iu4 (9)
[0101] When the coil of the synchronous motor 1 is not magnetically
saturated, the current iu1 and the current iu4 have equal
amplitudes and have different signs (different phases). Therefore,
.DELTA.iu=0 in this case. However, as the application times of the
voltage vectors V1 to V6 in the first embodiment are sufficiently
long for the coil to be magnetically saturated, the values of
.DELTA.iu are different depending on the magnetic-pole positions
.theta. of the rotor.
[0102] Similarly, current .DELTA.iv and current iv that has been
detected when the voltage vector V3 of which phase is equal to the
V-phase has been applied, and a current iv that has been detected
when the voltage vector V6 of which phase is 180 degrees different
from that of the voltage vector V3 has been applied, is defined by
the following equation (10). Further, a current .DELTA.iw that is a
sum of the amplitudes of a current .DELTA.iw that has been detected
when the voltage vector V5 of which phase is equal to the W-phase
has been applied, and a current .DELTA.iw that has been detected
when the voltage vector V2 of which phase is 180 degrees different
from that of the voltage vector V5 has been applied, is defined by
the following equation (11). When the order of the applications of
the above-described voltage vectors V1 to V6 is taken into account,
the equations (10) and (11) are given as follows.
.DELTA.iv=iv3+iv6 (10)
.DELTA.iw=iw5+iw2 (11)
[0103] The above-described iu, iv and iw take different values
depending on the magnetic-pole positions .theta. of the rotor. FIG.
6 is a diagram showing changes in the currents iu, iv and iw at
magnetic-pole positions .theta. when the voltage vectors V1 to V6
are applied in the order of an increase and a decrease in the
phases of the voltage vectors V1 to V6. FIG. 6 shows changes in the
currents iu, iv and iw when the voltage vectors V1 to V6 are
applied such that their phases increase and decrease in the order
of V1, V4, V3, V6, V5 and V2.
[0104] When only the influence of the magnetic saturation of the
coil is taken into account, it is considered that the size
(absolute value) of the current iu when the magnetic-pole position
.theta. is zero degree and the size (absolute value) of the current
iu when the magnetic-pole position .theta. is 180 degrees are equal
to each other, as the current iu is a sum of the current iu1 in the
U-phase detected after the application of the voltage vector V1 and
the current iu4 in the U-phase detected after the application of
the voltage vector V4.
[0105] However, as shown in FIG. 6, in actual practice, the
absolute value of a maximum value (a value when the magnetic-pole
position .theta. is zero degree) and the absolute value of a
minimum value (a value when the magnetic-pole position 0 is 180
degrees) of the current iu do not coincide with each other due to
the nonlinear elements like the hysteresis characteristic of the
synchronous motor1. This also applies to the current iv and the
current iw.
[0106] On the other hand, FIG. 7 is a diagram showing changes in
the currents iu, iv and iw at magnetic-pole positions .theta. when
the voltage vectors V1 to V6 are applied in the order of a
monotonous increase in the phases of the voltage vectors V1 to V6.
FIG. 7 shows changes in the currents iu, iv and iw when the voltage
vectors V1 to V6 are applied such that their phases increase
monotonously in the order of V1, V2, V3, V4, V5 and V6 as shown in
FIG. 5.
[0107] In this case, by applying the voltage vectors V1 to V6 in
the order of a monotonous increase in their phases, it is possible
to minimize the influence of the nonlinear elements like the
hysteresis characteristic of the synchronous motor 1. As a result,
it becomes possible to make respective absolute values of maximum
values and minimum values of the amplitude values iu, iv and iw
substantially coincide with each other as shown in FIG. 7.
[0108] Therefore, in the first embodiment, the voltage vectors V1
to V6 are applied in the order of a monotonous increase in their
phases as shown in FIG. 5. Thus, the influence of the nonlinear
elements like the hysteresis characteristic of the synchronous
motor 1 is avoided. While the voltage vectors V1 to V6 are applied
in the order of a monotonous increase in their phases in the
present embodiment, it is also possible to make respective absolute
values of maximum values and minimum values of the amplitude values
iu, iv and iw substantially coincide with each other when the
voltage vectors V1 to V6 are applied in the order of a monotonous
decrease in their phases, V6, V5, V4, V3, V2 and V1.
[0109] After the currents iu, iv and iw shown in the equations (9)
to (11) have been calculated, the arithmetic section 2 next
calculates values MAX (iu, iv and iw, -iu, -iv and -iw) that are
maximum absolute values of the currents iu, iv and iw by using the
currents iu, iv and iw. MAX (x1, x2, . . . , xn) mean maximum
values of values x1 to xn respectively.
[0110] As shown in FIG. 7, the values of the currents iu, iv and iw
have a maximum value and a minimum value at every 60 degrees of the
magnetic-pole positions .theta. respectively. For example, when a
magnetic-pole position .theta. is zero, the current iu takes a
maximum value, and when a magnetic-pole position .theta. is 60
degrees, the current iu takes a minimum value. Therefore, when
section numbers m that show sections of the magnetic-pole positions
.theta. divided at every 60 degrees are used, a relationship
between the section number and the value MAX becomes as
follows.
2 number m Section MAX 1 -30 to 30 degrees iu 2 30 to 90 degrees
-iw 3 90 to 150 degrees iv 4 150 to 210 degrees -iu 5 210 to 270
degrees iw 6 270 to 330 degrees -iv
[0111] 6: 270 to 330 degrees: -iv
[0112] The reason why the values -iu, -iv and -iw are expressed
with the minus signs in the column of the value MAX is as follows.
For example, iw expresses a minimum value when the magnetic-pole
position .theta. is 60 degrees. This minimum value is used for
calculating it as a maximum value.
[0113] A detailed example of the calculation of the value MAX is as
follows. When the magnetic-pole position .theta. is 60 degrees, the
value MAX (iu, iv, iw, -iu, -iv, -iw)=-iw. Thus, the section number
m=2 is obtained. It can be known that the magnetic-pole position
.theta. in this case is within a range of 30 to 90 degrees.
[0114] Specifically, the arithmetic section 2 holds the
above-described relationship between the section numbers m and the
values MAX in the memory 20, obtains the section number m based on
a finally calculated value MAX, and transmits this section number m
to the output circuit 23. The output circuit 23 holds a
relationship between the section number m and the section or a
specific magnetic-pole position .theta., and outputs the
magnetic-pole position .theta. corresponding to the input section
number m to the outside.
[0115] A method of detecting a magnetic-pole position .theta. by
the arithmetic section 2 in the first embodiment will be explained
with reference to a flowchart shown in FIG. 8. Referring to FIG. 8,
the arithmetic section 2 first outputs the voltage vector V0 to the
circuit section 3 for a constant time period, and applies it to the
synchronous motor 1 (step S101). Then, the arithmetic section 2
sets a variable n to "1" (step S102). Based on this set value n,
the arithmetic section 2 outputs the voltage vector Vn to the
circuit section 3 for a constant time period sufficient enough for
the synchronous motor 1 to be magnetically saturated, and applies
it to the synchronous motor 1 (step S103). Then, after finishing
the application of the voltage vector Vn, the arithmetic section 2
outputs the trigger signal Tr to the detection section 4 (step
S104). Then, the arithmetic section 2 obtains the currents iu, iv
and iw shown in FIG. 5 from the detection section 4 (step S105).
When the variable n is "1", for example, the arithmetic section 2
obtains the currents iu1, iv1 and iw1 that correspond to the
voltage vector V1. Then, the arithmetic section 2 increments the
variable n by one (step S106), outputs the voltage vector VO to the
circuit section 3 for a constant time period, and applies it to the
synchronous motor 1 (step S107). Then, the arithmetic section 2
makes a decision about whether the variable n has exceeded "6" or
not (step S108). When the variable n has not exceeded "6" (step
S108, NO), the process proceeds to step S103, where the arithmetic
section 2 applies the voltage vector Vn with the phase advanced by
a further 60 degrees, to the synchronous motor 1. The arithmetic
section 2 repeats the processing of obtaining the currents iu, iv
and iw.
[0116] On the other hand, when the variable n has exceeded "6"
(step S108, YES), the arithmetic section 2 calculates the currents
iu, iv, iw (step S109). For example, the arithmetic section 2
obtains a sum of the current iu1 when the voltage vector V1 has
been applied and the current iu4 when the voltage vector V4 having
a phase 180 degrees different from that of the voltage vector V1
has been applied. The arithmetic section 2 then stores this sum in
the memory 20 as the current iu. The arithmetic section 2
calculates t he values iv and iw in a similar manner, and holds a
result in the memory 20. The arithmetic section 2 further
calculates the values MAX (iu, iv, iw, -iu, -iv, -iw) (step
S110),and outputs the section numbers m corresponding to the
obtained values MAX to the output circuit 23. The output circuit 23
outputs the magnetic-pole position .theta. corresponding to the
input section numbers m to the outside (step S111). Thus, this
processing is finished.
[0117] At step S105 for obtaining the currents iu, iv and iw, there
may be obtained only the currents iu1, iw2, iv3, iu4, iw5 and iv6
that are necessary for calculating the currents iu, iv and iw.
[0118] In the first embodiment, the magnetic-pole positions .theta.
are output based on the large-and-small relationships of the
currents iu, iv and iw. However, it is also possible to output the
magnetic-pole positions .theta. based on the signs of the currents
iu, iv and iw.
[0119] When the section numbers m and the sections are used, a
relationship among them and the signs of the currents iu, iv and iw
become as follows.
3 number m Section iu iv iw 1 -30 to 30 degrees + - - 2 30 to 90
degrees + + - 3 90 to 150 degrees - + - 4 150 to 210 degrees - + +
5 210 to 270 degrees - - + 6 270 to 330 degrees + - +
[0120] Based on the relationship among the section numbers m, the
sections, and the signs of the currents iu, iv and iw, it is
possible to determine the values of the section numbers m from the
combinations of the signs of the currents iu, iv and iw.
[0121] According to the first embodiment, the voltage vectors V1 to
V6 that either increase monotonously or decrease monotonously and
that have application times sufficient enough for the coil of the
synchronous motor 1 to be magnetically saturated are applied to the
synchronous motor 1. Therefore, it is possible to correctly detect
the magnetic-pole positions .theta. in the precision of .+-.30
degrees without receiving the influence of the nonlinear elements
like the hysteresis characteristic of the synchronous motor 1.
[0122] A second embodiment will be explained next. In the first
embodiment, the voltage vectors V1 to V6 that increase monotonously
are applied to the synchronous motor 1, and the magnetic-pole
positions .theta. are output at every 60 degrees based on the
currents iu, iv and iw of the phases detected. On the other hand,
in the second embodiment, the magnetic-pole positions .theta. are
output at every 30 degrees using detection current values of the
components that are orthogonal with the voltage vectors V1 to
V6.
[0123] The structure of the second embodiment is identical to that
of the first embodiment, except the structure of the arithmetic
section 2 as the arithmetic section 2 in the second embodiment
carries out a processing different from that of the first
embodiment shown in FIG. 1.
[0124] FIG. 9 is a diagram showing a relationship among axes of the
U-phase, the V-phase and the W-phase and an axis orthogonal with
the axis of the U-phase. In FIG. 9, a detection current Di can be
divided into a U-phase in-phase component Ui and a U-phase
orthogonal component Uq. This U-phase orthogonal component Uq is
proportional to a difference between the current iv of the V-phase
and the current iw of the W-phase.
[0125] When the voltage vector Vi (U-phase) is applied to the
synchronous motor 1, a current iux1 of the U-phase orthogonal
component Uq that is orthogonal with the voltage vector V1 can be
expressed by the following equation (12) using the current iv1 and
the current iw1.
iux1=iv1-iw1 (12)
[0126] Similarly, currents iwx2 to ivx6 that are orthogonal with
the voltage vectors V2 to V6 when the voltage vectors V2 to V6 are
applied to the synchronous motor 1 can be expressed by the
following equations (13) to (17) respectively.
iwx2=iu2-iv2 (13)
ivx3=iw3-iu3 (14)
iux4=iv4-iw4 (15)
iwx5=iu5-iv5 (16)
ivx6=iw6-iu6 (17)
[0127] When a voltage vector having no magnetic saturation is input
to the synchronous motor 1, the current iux1 and the current iux4
change at every 180-degree period at the magnetic-pole positions
.theta.. Therefore, these currents have the same values. On the
other hand, when a voltage vector having magnetic saturation is
input to the synchronous motor 1, the current iux1 and the current
iux4 change at every 360-degree period at the magnetic-pole
positions .theta., as the currents are interfered at every
360-degree period due to the influence of the magnetic
saturation.
[0128] In this case, according to the conventional synchronous
motor that applies the voltage vector so as not to generate a
magnetic saturation, the A/D converters 15b to 17b constrain the
resolution in the A/D conversion because of small amplitude of the
current detected. As a result, the detection precision is degraded.
On the other hand, when it is possible to generate a current
sufficient enough to secure the detection precision without
constraining the resolution in the A/D conversion, the size of the
current iux1 and the size of the current iux4 detected do not
coincide with each other due to the influence of the magnetic
saturation.
[0129] Therefore, in order to eliminate the influence of the
magnetic saturation, a current iux that is a sum of the current
iux1 and the current iux4 and that is proportional to the average
value of the current iux1 and the current iux4 is defined by the
equation (18) as follows.
iux=iux1+iux4 (18)
[0130] When it is taken into consideration that the currents change
at every 360-degree period by the influence of the magnetic
saturation and that the currents change at every 180-degree period
due to the change in the inductance of the coil as described above,
the current iux is not influenced by the magnetic saturation of the
360-degree period.
[0131] In a similar manner to that of the current iux, it is also
possible to define a current ivx as a sum of the current ivx3 and
the current ivx6 and a current iwx as a sum of the current iwx2 and
the current iwx5 as given by the following equations (19) and (20)
respectively.
ivx=ivx3+ivx6 (19)
iwx=iwx2+iwx5 (20)
[0132] The currents iux, ivx and iwx obtained in this way and the
magnetic-pole positions .theta. have a relationship as shown in
FIG. 10. In FIG. 10, the currents iux, ivx and iwx change at every
180-degree period without the influence of the magnetic saturation.
Consider the currents iux, ivx and iwx at the magnetic-pole
positions .theta. that change at every 30 degrees. When the
magnetic-pole position .theta. is between -30 and zero degrees out
of the range from -30 to 30 degrees, for example, there is a
relationship of 2*iux<ivx+iwx. On the other hand, when the
magnetic-pole position .theta. is between zero and 30 degrees out
of the range from -30 to 30 degrees, there is a relationship of 2*
iux>ivx+iwx. Similarly, it can be understood that in the case of
other magnetic-pole positions .theta. that change at every 60
degrees, the large-and-small relationships are inverted for the
magnetic-pole positions .theta. that are in the two 30-degree
ranges, each being a half of this 60-degree range.
[0133] In other words, when the section numbers of sections for the
magnetic-pole positions .theta. that change at every 30 degrees are
defined as section number m1, there are following
relationships.
4 number m1 Section relationship 1a -30 to 0 degrees 2 * iux <
ivx + iwx 1b 0 to 30 degrees 2 * iux > ivx + iwx 2a 30 to 60
degrees 2 * iwx < iux + ivx 2b 60 to 90 degrees 2 * iwx > iux
+ iwx 3a 90 to 120 degrees 2 * ivx < iux + iwx 3b 120 to 150
degrees 2 * ivx > iux + iwx 4a 150 to 180 degrees 2 * iux <
ivx + iwx 4b 180 to 210 degrees 2 * iux > ivx + iwx 5a 210 to
240 degrees 2 * iwx < iux + ivx 5b 240 to 270 degrees 2 * iwx
> iux + ivx 6a 270 to 300 degrees 2 * ivx < iux + iwx 6b 300
to 330 degrees 2 * ivx > iux + iwx
[0134] A method of detecting a magnetic-pole position .theta. by
the arithmetic section 2 in the second embodiment will be explained
with reference to a flowchart shown in FIG. 11 and FIG. 12.
Referring to FIG. 11, the arithmetic section 2 first applies the
voltage vectors V0, V1, V0, V2, V0, V3, V0, V4, V0, V6 and V0 in
this order to the synchronous motor 1 via the circuit section 3 for
a constant time period sufficient enough for the synchronous motor
1 to be magnetically saturated at steps S201 to S208, in a similar
manner to that at steps S101 to S108 in the first embodiment. Thus,
the arithmetic section 2 carries out a processing to obtain at
least the currents iu1, iw2, iv3, iu4, iw5 and iv6.
[0135] Thereafter, when the variable n has exceeded "6" (step S208,
YES), the arithmetic section 2 calculates the currents iu, iv, iw,
iux, ivx and iwx (step S209). For example, the arithmetic section 2
obtains a sum of the current iu1 when the voltage vector V1 has
been applied and the current iu4 when the voltage vector V4 having
a phase 180 degrees different from that of the voltage vector V1
has been applied. The arithmetic section 2 then stores this sum in
the memory 20 as the current iu. The arithmetic section 2
calculates the values iv and iw in a similar manner, and holds a
result in the memory 20. The arithmetic section 2 further
calculates the currents iux, iwx2, ivx3, iux4, iwx5 and ivx6 of the
components orthogonal with the voltage vectors V1 to V6, and
calculates the currents iux, ivx and iwx that are the amplitude
sums of the currents of which phases are different by 180 degrees
among these currents.
[0136] The arithmetic section 2 further calculates the values MAX
(iu, iv, iw, -iu, -iv, -iw) (step S210), and holds the section
numbers m corresponding to the obtained values MAX in the memory 20
(step S211). The magnetic-pole positions .theta. corresponding to
the obtained sections m are in sections of every 60 degrees in a
similar manner to that of the first embodiment.
[0137] Further, in FIG. 12, the arithmetic section 2 makes a
decision about whether the section number m is "1" or not (step
S221). When the section number m is "1" (step S221, YES), the
arithmetic section 2 makes a decision about whether or not the
section number m has a large-and-small relationship of 2*
iux<ivx+iwx using the currents iux, ivx and iwx calculated at
step S209 (step S222). When the section number m has a
large-and-small relationship of 2*iux<ivx+iwx (steps S222, YES),
the arithmetic section 2 sets the section number m1 to "1a", and
outputs the section number m1 to the output circuit 23. The output
circuit 23 outputs a magnetic-pole position .theta. corresponding
to the input section number m1, that is, "-15 degrees", to the
outside (step S223). Thus, the present processing is finished. On
the other hand, when the section number m does not have a
large-and-small relationship of 2*iux<ivx+iwx (steps S222, NO),
the arithmetic section 2 sets the section number m1 to "1b", and
outputs the section number m1 to the output circuit 23. The output
circuit 23 outputs a magnetic-pole position .theta. corresponding
to the input section number m1, that is, "15 degrees", to the
outside (step S224). Thus, the present processing is finished.
[0138] On the other hand, when the section number m is not "1"
(step S221, NO), that is, when the section number m is "2" to "6",
the arithmetic section 2 makes a decision about whether the section
number m is "2" or not (step S225). When the section number m is
"2" (step S225, YES), the arithmetic section 2 makes a decision
about whether or not the section number m has a large-and-small
relationship of 2*iwx<iux+ivx using the currents iux, ivx and
iwx calculated at step S209 (step S226). When the section number m
has a large-and-small relationship of 2*iwx<iux+ivx (steps S226,
YES), the arithmetic section 2 sets the section number m1 to "2a",
and outputs the section number m1 to the output circuit 23. The
output circuit 23 outputs a magnetic-pole position .theta.
corresponding to the input section number m1, that is, "45
degrees", to the outside (step S227). Thus, the present processing
is finished. On the other hand, when the section number m does not
have a large-and-small relationship of 2* iwx<iux+ivx (steps
S226, NO), the arithmetic section 2 sets the section number m1 to
"2b", and outputs the section number m1 to the output circuit 23.
The output circuit 23 outputs a magnetic-pole position .theta.
corresponding to the input section number m1, that is, "75
degrees", to the outside (step S228). Thus, the present processing
is finished.
[0139] In a similar manner to the above, a decision is made about
the correspondence of the section numbers m to "3" to "5", and a
decision is made about large-and-small relationships using the
currents iux, ivx and iwx. Similarly, the section numbers m1 are
set to "3a" to "6a", and the magnetic-pole positions .theta. are
output to the outside.
[0140] According to the second embodiment, the voltage vectors V1
to V6 that either increase monotonously or decrease monotonously
and that have application times sufficient enough for the coil of
the synchronous motor 1 to be magnetically saturated are applied to
the synchronous motor 1. Therefore, it is possible to correctly
detect the magnetic-pole positions .theta. in the precision of
.+-.15 degrees based on the large-and-small relationships of the
currents iux, ivx and iwx without receiving the influence of the
nonlinear elements like the hysteresis characteristic of the
synchronous motor 1.
[0141] A third embodiment will be explained next. In the second
embodiment, the magnetic-pole positions .theta. are correctly
detected in the precision of +15 degrees using decision-making
equations based on the large-and-small relationships of the
currents iux, ivx and iwx. On the other hand, in the third
embodiment, the magnetic-pole positions .theta. are correctly
detected in the precision of .+-.15 degrees based on whether the
values of the currents iux, ivx and iwx exceed an absolute
reference value "0" or not, instead of using the decision-making
equations based on the large-and-small relationships of the
currents iux, ivx and iwx.
[0142] The structure of the third embodiment is identical to that
of the first embodiment, except the structure of the arithmetic
section 2 as the arithmetic section 2 in the third embodiment
carries out a processing different from that of the first
embodiment shown in FIG. 1.
[0143] In FIG. 10, any one of the currents iux, ivx and iwx crosses
the current value "0" at every 30 degrees of the magnetic-pole
positions .theta.. Then, the current value "0" is crossed at
magnetic-pole positions .theta. that divide the magnetic-pole
positions .theta. of every 60 degrees into two. Therefore, it is
possible to specify the magnetic-pole positions .theta. at every 30
degrees by making a decision about plus or minus of the currents
iux, ivx and iwx corresponding to the respective ranges of
magnetic-pole positions .theta.. For example, within the range from
-30 to zero degrees out of the range of the magnetic-pole positions
.theta. from -30 to 30 degrees, the current iux has a
large-and-small relationship of iux<0. Within the range from
zero to 30 degrees out of the range of the magnetic-pole positions
.theta. from -30 to 30 degrees, the current iux has a
large-and-small relationship of iux>0. Therefore, it is possible
to specify the magnetic-pole positions .theta. at every 30 degrees
by using these large-and-small relationships.
[0144] In other words, for making a decision about whether the
section number m1 is "1a" or "1b", the large-and-small relationship
of "iux<0" is used, instead of using the large-and-small
relationship "2*iux<ivx+iwx" as used in the second embodiment.
For other section numbers ml, a decision is made in a similar
manner based on the large-and-small relationships using the
absolute reference In other words, when the section numbers of
sections for the magnetic-pole positions .theta. that change at
every 30 degrees are defined as section number m2, there are
following relationships.
5 number m2 Section relationship 1a -30 to 0 degrees iux < 0 1b
0 to 30 degrees iux > 0 2a 30 to 60 degrees iwx < 0 2b 60 to
90 degrees iwx > 0 3a 90 to 120 degrees ivx < 0 3b 120 to 150
degrees ivx > 0 4a 150 to 180 degrees iux < 0 4b 180 to 210
degrees iux > 0 5a 210 to 240 degrees iwx < 0 5b 240 to 270
degrees iwx > 0 6a 270 to 300 degrees ivx < 0 6b 300 to 330
degrees ivx > 0
[0145] A method of detecting a magnetic-pole position .theta. by
the arithmetic section 2 in the third embodiment will be explained
with reference to a flowchart shown in FIG. 13 and FIG. 14.
Referring to FIG. 13, the arithmetic section 2 first applies the
voltage vectors V0, V1, V0, V2, V0, V3, V0, V4, V0, V6 and V0 in
this order to the synchronous motor 1 via the circuit section 3 for
a constant time period sufficient enough for the synchronous motor
1 to be magnetically saturated at steps S301 to S308, in a similar
manner to that at steps S201 to S208 in the second embodiment.
Thus, the arithmetic section 2 carries out a processing to obtain
at least the currents iu1, iw2, iv3, iu4, iw5 and iv6.
[0146] Further, at steps S309 to S311, the arithmetic section 2
calculates the currents iu, iv, iw, iux, ivx and iwx, and
calculates the values MAX (iu, iv, iw, -iu, -iv, -iw), in a similar
manner to that of the second embodiment. The arithmetic section 2
then stores the section numbers m corresponding to the obtained
values MAX in the memory 20. The processing up to this stage is
exactly the same as that of the second embodiment. The
magnetic-pole positions .theta. corresponding to the obtained
sections m are in sections of every 60 degrees in a similar manner
to that of the second embodiment.
[0147] Further, in FIG. 14, the arithmetic section 2 makes a
decision about whether the section number m is "1" or not (step
S221). When the section number m is "1" (step S321, YES), the
arithmetic section 2 makes a decision about whether or not the
section number m has a large-and-small relationship of iux<0
using the currents iux, ivx and iwx calculated at step S309 (step
S322). When the section number m has a large-and-small relationship
of iux<0 (steps S322, YES), the arithmetic section 2 sets the
section number m2 to "1a", and outputs the section number m2 to the
output circuit 23. The output circuit 23 outputs a magnetic-pole
position .theta. corresponding to the input section number m2, that
is, "-15 degrees", to the outside (step S323). Thus, the present
processing is finished. On the other hand, when the section number
m does not have a large-and-small relationship of iux<0 (steps
S322, NO), the arithmetic section 2 sets the section number m2 to
"1b", and outputs the section number m2 to the output circuit 23.
The output circuit 23 outputs a magnetic-pole position .theta.
corresponding to the input section number m2, that is, "15
degrees", to the outside (step S324). Thus, the present processing
is finished.
[0148] On the other hand, when the section number m is not "1"
(step S321, NO), that is, when the section number m is "2" to "6",
the arithmetic section 2 makes a decision about whether the section
number m is "2" or not (step S325). When the section number m is
"2" (step S325, YES), the arithmetic section 2 makes a decision
about whether or not the section number m has a large-and-small
relationship of iwx<0 using the currents iux, ivx and iwx
calculated at step S309 (step S326). When the section number m has
a large-and-small relationship of iwx<0 (steps S326, YES), the
arithmetic section 2 sets the section number m2 to "2a", and
outputs the section number m2 to the output circuit 23. The output
circuit 23 outputs a magnetic-pole position .theta. corresponding
to the input section number m2, that is, "45 degrees", to the
outside (step S327). Thus, the present processing is finished. On
the other hand, when the section number m does not have a
large-and-small relationship of iwx<0 (steps S326, NO) the
arithmetic section 2 sets the section number m2 to "2b", and
outputs the section number m2 to the output circuit 23. The output
circuit 23 outputs a magnetic-pole position .theta. corresponding
to the input section number m2, that is, "75 degrees", to the
outside (step S328). Thus, the present processing is finished.
[0149] In a similar manner to the above, a decision is made about
the correspondence of the section numbers m to "3" to "5", and a
decision is made about large-and-small relationships using the
currents iux, ivx and iwx. Similarly, the section numbers m2 are
set to "3a" to "6a", and the magnetic-pole positions .theta. are
output to the outside.
[0150] According to the third embodiment, the voltage vectors V1 to
V6 that either increase monotonously or decrease monotonously and
that have application times sufficient enough for the coil of the
synchronous motor 1 to be magnetically saturated are applied to the
synchronous motor 1. Therefore, it is possible to correctly detect
the magnetic-pole positions .theta. in the precision of .+-.15
degrees based on the simple large-and-small relationships of the
currents iux, ivx and iwx without receiving the influence of the
nonlinear elements like the hysteresis characteristic of the
synchronous motor 1. At the same time, the magnetic-pole positions
.theta. are detected based on the simple large-and-small
relationship. Therefore, it is possible to carry out the processing
in a smaller calculation volume than that of the second
embodiment.
[0151] A fourth embodiment will be explained next. In the second
and third embodiments, the magnetic-pole positions .theta. are
correctly detected in the precision of .+-.15 degrees using
decision-making equations based on the large-and-small
relationships of the currents iux, ivx and iwx. On the other hand,
in the fourth embodiment, the magnetic-pole positions .theta. are
correctly detected in the precision of .+-.7.5 degrees using
further decision-making equations based on the large-and-small
relationships of the currents iux, ivx and iwx.
[0152] The structure of the fourth embodiment is identical to that
of the first embodiment, except the structure of the arithmetic
section 2 as the arithmetic section 2 in the third embodiment
carries out a processing different from that of the first
embodiment shown in FIG. 1.
[0153] In FIG. 10, any two currents iux, ivx and iwx of the
currents iux, ivx and iwx cross the magnetic-pole positions .theta.
at every 30 degrees. For example, within the range of magnetic-pole
positions .theta. from -30 to zero degrees, the current iux and the
current iwx cross each other at the magnetic-pole position .theta.
of -15 degrees. In this case, by making a decision about the
large-and-small relationships of the current iux and the current
iwx that cross each other, it becomes possible to specify the
magnetic-pole positions .theta. in higher precision.
[0154] In other words, by making a decision about the
large-and-small relationship between the current iux and the
current iwx in the region of the magnetic-pole position .theta.
where the section number m2 shown in the second and third
embodiments have the section "1a", it is possible to specify the
regions of the magnetic-pole positions .theta. at every 15 degrees.
In other words, when the section numbers of sections for the
magnetic-pole positions .theta. that change at every 15 degrees are
defined as section number m3, there are following
relationships.
6 number m3 Section relationship 1a.alpha. -30 to -15 degrees iux
< iwx 1a.beta. -15 to 0 degrees iux > iwx 1b.alpha. 0 to 15
degrees iux < ivx 1b.beta. 15 to 30 degrees iux > ivx
2a.alpha. 30 to 45 degrees iwx < ivx 2a.beta. 45 to 60 degrees
iwx > ivx 2b.alpha. 60 to 75 degrees iwx < iux 2b.beta. 75 to
90 degrees iwx > iux 3a.alpha. 90 to 105 degrees ivx < iux
3a.beta. 105 to 120 degrees ivx > iux 3b.alpha. 120 to 135
degrees ivx < iwx 3b.beta. 135 to 150 degrees ivx > iwx
4a.alpha. 150 to 165 degrees iux < iwx 4a.beta. 165 to 180
degrees iux > iwx 4b.alpha. 180 to 195 degrees iux < ivx
4b.beta. 195 to 210 degrees iux > ivx 5a.alpha. 210 to 225
degrees iwx < ivx 5a.beta. 225 to 240 degrees iwx > ivx
5b.alpha. 240 to 255 degrees iwx < iux 5b.beta. 255 to 270
degrees iwx > iux 6a.alpha. 270 to 385 degrees ivx < iux
6a.beta. 385 to 300 degrees ivx > iux 6b.alpha. 300 to 315
degrees ivx < iwx 6b.beta. 315 to 330 degrees ivx > iwx
[0155] A method of detecting a magnetic-pole position .theta. by
the arithmetic section 2 in the fourth embodiment will be explained
with reference to a flowchart shown in FIG. 15 and FIG. 17.
Referring to FIG. 15, the arithmetic section 2 first applies the
voltage vectors V0, V1, V0, V2, V0, V3, V0, V4, V0, V6 and V0 in
this order to the synchronous motor 1 via the circuit section 3 for
a constant time period sufficient enough for the synchronous motor
1 to be magnetically saturated at steps S401 to S408, in a similar
manner to that at steps S201 to S208 in the second embodiment.
Thus, the arithmetic section 2 carries out a processing to obtain
at least the currents iu1, iw2, iv3, iu4, iw5 and iv6.
[0156] Further, at steps S409 to S411, the arithmetic section 2
calculates the currents .DELTA.iu, .DELTA.iv, .DELTA.iw, iux, ivx
and iwx, and calculates the values MAX (.DELTA.iu, .DELTA.iv,
.DELTA.iw, -.DELTA.iu, -.DELTA.iv, -.DELTA.iw), in a similar manner
to that of the second embodiment. The arithmetic section 2 then
stores the section numbers m corresponding to the obtained values
MAX in the memory 20. The processing up to this stage is exactly
the same as that of the second embodiment. The magnetic-pole
positions .theta. corresponding to the obtained sections m are in
sections of every 60 degrees in a similar manner to that of the
second embodiment.
[0157] Further, in FIG. 15, the arithmetic section 2 makes a
decision about the values of the section number m at steps S421 to
S436 in a similar manner to that of the second embodiment. Based on
a result of this decision made, in order to further divide each
region of the magnetic-pole positions .theta. into two at every 30
degrees, the arithmetic section 2 sets the values of the section
number m1 by the decision-making equations of the large-and-small
relationships using the currents iux, ivx and iwx, and stores a
result in the memory 20. Thus, the regions of the magnetic-pole
positions .theta. are divided into regions of every 30 degrees in a
similar manner to that of the second embodiment.
[0158] Thereafter, in FIG. 17, the arithmetic section 2 makes a
decision about whether the section number m1 is "1a" or not (step
S441). When the section number m1 is "1a", the arithmetic section 2
further makes a decision about whether or not the section number m1
has a large-and-small relationship of iux<iwx (step S442). When
the section number m1 has a large-and-small relationship of
iux<iwx (steps S442, YES), the arithmetic section 2 sets the
section number m3 to "1a.alpha.", and outputs the set section
number m3 to the output circuit 23. The output circuit 23 outputs a
magnetic-pole position .theta. corresponding to the input section
nu mber m3, that is, "-22.5 degrees", to the-outside (step S443).
Thus, the present processing is finished. On the other hand, when
the section number m1 does not have a large-and-small relationship
of iux<iwx (steps S442, NO) the arithmetic section 2 sets the
section number m3 to "1ap", and outputs the set section number m3
to the output circuit 23. The output circuit 23 outputs a
magnetic-pole position .theta. corresponding to the section number
m2, that is, "-7.5 degrees", to the outside (step S444). Thus, the
present processing is finished.
[0159] On the other hand, when the section number m1 is not "1a"
(step S441, NO), that is, when the section number ml is "1b" to
"6b", the arithmetic section 2 makes a decision about whether the
section number m1 is "1b" or not (step S445). When the section
number m1 is "1b" (step S445, YES) the arithmetic section 2 further
makes a decision about whether or not the section number m1 has a
large-and-small relationship of iux<ivx using the currents iux,
ivx and iwx calculated at step S209 (step S446). When the section
number m1 has a large-and-small relationship of iux<ivx (steps
S446, YES), the arithmetic section 2 sets the section number m3 to
"1b.alpha.", and outputs the section number m3 to the output
circuit 23. The output circuit 23 outputs a magnetic-pole position
.theta. corresponding to the input section number m3, that is, "7.5
degrees", to the outside (step S447). Thus, the present processing
is finished. On the other hand, when the section number m1 does not
have a large-and-small relationship of iux<ivx (steps S446, NO),
the arithmetic section 2 sets the section number m3 to "1b.beta.",
and outputs the section number m3 to the output circuit 23. The
output circuit 23 outputs a magnetic-pole position .theta.
corresponding to the input section number m3, that is, "22.5
degrees", to the outside (step S448). Thus, the present processing
is finished.
[0160] In a similar manner to the above, a decision is made about
the correspondence of the section numbers m3 to "2a" to "6a", and a
decision is made about a large-and-small relationship at every 15
degrees using the currents iux, ivx and iwx. Similarly, the section
numbers m3 are set to "2a.beta." to "6b.beta.", and the
magnetic-pole positions .theta. are output to the outside.
[0161] The processing at steps S421 to S436 shown in FIG. 16 may
also be carried out by dividing the magnetic-pole positions .theta.
into regions of every 30 degrees in a similar manner to that of the
third embodiment shown in FIG. 14.
[0162] According to the fourth embodiment, the voltage vectors V1
to V6 that either increase monotonously or decrease monotonously
and that have application times sufficient enough for the coil of
the synchronous motor 1 to be magnetically saturated are applied to
the synchronous motor 1. Therefore, it is possible to correctly
detect the magnetic-pole positions .theta. in the precision of
.+-.7.5 degrees based on the simple large-and-small relationship of
the currents iux, ivx and iwx without receiving the influence of
the nonlinear elements like the hysteresis characteristic of the
synchronous motor 1.
[0163] A fifth embodiment will be explained next. In the second to
fourth embodiments, the magnetic-pole positions .theta. are
correctly detected in the precision of .+-.15 degrees or +7.5
degrees using decision-making equations based on the
large-and-small relationships of the currents iux, ivx and iwx. On
the other hand, in the fifth embodiment, the magnetic-pole
positions .theta. are correctly detected in the precision of
.+-.3.75 degrees using further decision-making equations based on
the large-and-small relationships of the currents iux, ivx and
iwx.
[0164] The structure of the fifth embodiment is identical to that
of the first embodiment, except the structure of the arithmetic
section 2 as the arithmetic section 2 in the third embodiment
carries out a processing different from that of the first
embodiment shown in FIG. 1.
[0165] In the fifth embodiment, new functions are generated for the
magnetic-pole positions .theta. using the currents iux, ivx and
iwx, instead of using the large-and-small relationship based on the
changes in the currents iux, ivx and iwx by themselves. Then, the
magnetic-pole positions .theta. are divided into regions of every
15 degrees using these functions and the large-and-small
relationships of the currents iux, ivx and iwx.
[0166] The new functions used are as follows.
(2*iwx+iux)/{square root}{square root over ( )}(3)
(2*iwx+ivx)/{square root}{square root over ( )}(3)
(2*ivx+iwx)/{square root}{square root over ( )}(3)
(2*ivx+iux)/{square root}{square root over ( )}(3)
[0167] FIG. 18 is a diagram showing changes in the currents iux,
ivx, and iwx and the four functions within the range of the
magnetic-pole positions .theta. from -30 to 30 degrees. In FIG. 18,
within the range of the magnetic-pole positions from -30 to 30
degrees, for example, the current iux and the function
(2*iwx+iux)/{square root}{square root over ( )}(3) cross each other
at the magnetic-pole position .theta. of "-22.5 degrees". Further,
within the range of the magnetic-pole positions .theta. from -15 to
zero degrees, for example, the current iux and the function
(2*iwx+ivx)/{square root}{square root over ( )}(3) cross each other
at the magnetic-pole position .theta. of "-7.5 degrees". Therefore,
it is possible to divide the regions of the magnetic-pole positions
.theta. into further smaller regions based on a decision made about
the large-and-small relationship between the currents iux, ivx, and
iwx and the newly generated functions. As a result, it is possible
to specify magnetic-pole positions .theta. in higher precision.
[0168] When the section numbers of sections for the magnetic-pole
positions .theta. that change at every 7.5 degrees are defined as
section number m4, there are following relationships. While only
the ranges of the magnetic-pole positions 0 from -30 to 30 degrees
will be explained below, it is also possible to divide the ranges
of other magnetic-pole positions .kappa. in a similar manner.
[0169] m4 Section (Degree): Relationship
[0170] 1a.alpha.x: -30.0 to -22.5: iux<(2*iwx+iux)/{square
root}{square root over ( )}(3)
[0171] 1a.alpha.y: -22.5 to -15.0: iux>(2*iwx+iux)/{square
root}{square root over ( )}(3)
[0172] 1a.beta.x: -15.0 to -7.5 : iux<(2*iwx+ivx)/{square
root}{square root over ( )}(3)
[0173] 1a.beta.y: -7.5 to 0.0: iux>(2*iwx+ivx)/{square
root}{square root over ( )}(3)
[0174] 1b.alpha.x: 0.0 to 7.5: iux<(2*ivx+iwx)/{square
root}{square root over ( )}(3)
[0175] 1b.alpha.y: 7.5 to 15.0: iux>(2*ivx+iwx)/{square
root}{square root over ( )}(3)
[0176] 1b.beta.x: 15.0 to 22.5: iux<(2*ivx+iux)/{square
root}{square root over ( )}(3)
[0177] 1b.beta.y: 22.5 to 30.0: iux>(2*ivx+iux)/{square
root}{square root over ( )}(3)
[0178] A method of detecting a magnetic-pole position .theta. by
the arithmetic section 2 in the fifth embodiment will be explained
with reference to a flowchart shown in FIG. 19 and FIG. 22.
Referring to FIG. 19, the arithmetic section 2 first applies the
voltage vectors V0, V1, V0, V2, V0, V3, V0, V4, V0, V6 and V0 in
this order to the synchronous motor 1 via the circuit section 3 for
a constant time period sufficient enough for the synchronous motor
1 to be magnetically saturated at steps S501 to S508, in a similar
manner to that at steps S401 to S408 in the fourth embodiment.
Thus, the arithmetic section 2 carries out a processing to obtain
at least the currents iu1, iw2, iv3, iu4, iw5 and iv6.
[0179] Further, at steps S509 to S511, the arithmetic section 2
calculates the currents .DELTA.iu, .DELTA.iv, .DELTA.iw, iux, ivx
and iwx, and calculates the values MAX (.DELTA.iu, .DELTA.iv,
.DELTA.iw, -.DELTA.iu, -.DELTA.iv, -.DELTA.iw), in a similar manner
to that of the fourth embodiment. The arithmetic section 2 then
stores the section numbers m corresponding to the obtained values
MAX in the memory 20. Based on the processing up to this stage, it
is possible to divide the sections into sections of every 60
degrees.
[0180] Further, in FIG. 20, the arithmetic section 2 makes a
decision about the values of the section number m at steps S521 to
S536 in a similar manner to that of the fourth embodiment. Based on
a result of this decision made, in order to further divide each
region of the magnetic-pole positions .theta. into two at every 30
degrees, the arithmetic section 2 sets the values of the section
number m1 by the decision-making equations of the large-and-small
relationships using the currents iux, ivx and iwx, and stores a
result in the memory 20. Thus, each region of the magnetic-pole
positions .theta. at every 60 degrees is further divided into two
regions of every 30 degrees.
[0181] Further, in FIG. 21, the arithmetic section 2 makes a
decision about the values of the section number m1 at steps S541 to
S556 in a similar manner to that of the fourth embodiment. Based on
a result of this decision made, in order to further divide each
region of the magnetic-pole positions .theta. into two at every 15
degrees, the arithmetic section 2 sets the values of the section
number m3 by the decision-making equations of the large-and-small
relationships using the currents iux, ivx and iwx, and stores a
result in the memory 20. Thus, each region of the magnetic-pole
positions 0 at every 30 degrees is further divided into two regions
of every 15 degrees.
[0182] Thereafter, in FIG. 22, the arithmetic section 2 divides
each region of the magnetic-pole positions .theta. at every 15
degrees into two by making a decision about large-and-small
relationships between the currents iux, ivx and iwx and the newly
generated functions respectively. First, the arithmetic section 2
makes a decision about whether the section number m3 is "1a.alpha."
or not (step S561) When the section number m3 is "1a.alpha.", the
arithmetic section 2 further makes a decision about whether or not
the section number m3 has a large-and-small relationship of
iux<(2*iwx+iux)/{square root}{square root over ( )}(3) (step
S562). When the section number m3 has a large-and-small
relationship of iux<(2*iwx+iux)/{square root}{square root over (
)}(3) (steps S562, YES), the arithmetic section 2 sets the section
number m4 to "1a.alpha.", and outputs the set section number m4 to
the output circuit 23. The output circuit 23 outputs a
magnetic-pole position .theta. corresponding to the input section
number m4, that is, "-26.25 degrees", to the outside (step S563).
Thus, the present processing is finished. On the other hand, when
the section number m4 does not have a large-and-small relationship
of iux<(2* iwx+iux)/{square root}{square root over ( )}(3)
(steps S562, NO), the arithmetic section 2 sets the section number
m4to "1a.alpha.y ", and outputs the set section number m4 to the
output circuit 23. The output circuit 23 outputs a magnetic-pole
position .theta. corresponding to the section number m4, that is,
"-18.75 degrees", to the outside (step S564). Thus, the present
processing is finished.
[0183] On the other hand, when the section number m3 is not
"1a.alpha." (step S561, NO), that is, when the section number m3 is
"1a.alpha." to "6b.beta.", the arithmetic section 2 further makes a
decision about whether the section number m3 is "lap" or not (step
S565). When the section number m3 is "1a.beta." (step S565, YES),
the arithmetic section 2 further makes a decision about whether or
not the section number m3 has a large-and-small relationship of
iux<(2* iwx+ivx)/{square root}{square root over ( )}(3) (step
S566). When the section number m3 has a large-and-small
relationship of iux<(2*iwx+ivx)/{square root}{square root over (
)}(3) (steps S566, YES), the arithmetic section 2 sets the section
number m4 to "1a.beta.x", and outputs the section number m4 to the
output circuit 23. The output circuit 23 outputs a magnetic-pole
position .theta. corresponding to the input section number m4, that
is, "-11.75 degrees", to the outside (step S567). Thus, the present
processing is finished. On the other hand, when the section number
m3 does not have a large-and-small relationship of
iux<(2*iwx+ivx)/{square root}{square root over ( )}(3) (steps
S566, NO), the arithmetic section 2 sets the section number m4 to
"1a.beta.y", and outputs the section number m4 to the output
circuit 23. The output circuit 23 outputs a magnetic-pole position
.theta. corresponding to the input section number m4, that is,
"-3.75 degrees", to the outside (step S568). Thus, the present
processing is finished.
[0184] In a similar manner to the above, a decision is made about
the correspondence of the section numbers m3 to "1b.alpha." to
"6b.alpha.", and a decision is made about a large-and-small
relationship at every 7.5 degrees. Similarly, the section numbers
m4 are set to "2b.alpha.x" to "6b.beta.y", and the magnetic-pole
positions 0 are output to the outside.
[0185] According to the fifth embodiment, the voltage vectors V1 to
V6 that either increase monotonously or decrease monotonously and
that have application times sufficient enough for the coil of the
synchronous motor 1 to be magnetically saturated are applied to the
synchronous motor 1. Therefore, it is possible to correctly detect
the magnetic-pole positions .theta. in the precision of .+-.7.5
degrees based on the large-and-small relationship between the
currents iux, ivx and iwx and the values of the functions newly
generated using the currents iux, ivx and iwx, without receiving
the influence of the nonlinear elements like the hysteresis
characteristic of the synchronous motor 1.
[0186] A sixth embodiment will be explained next. In the first to
fifth embodiments, a description has been made based on the
assumption that the synchronous motor 1 is in the halted state and
the rotor is not in the rotating state. On the other hand, in the
sixth embodiment, the structures and the processing of the
above-described first to fifth embodiments are applied in the state
that the synchronous motor 1 is rotating.
[0187] When the voltage vectors V1 to V6 applied are sufficiently
larger than the induced voltage of the synchronous motor 1 while
the synchronous motor 1 is rotating, the existence of this induced
voltage can be disregarded.
[0188] Therefore, in the sixth embodiment, the voltage vectors V1
to V6 of the first to fifth embodiments are set to sufficiently
larger values than the induced voltage. Based on this arrangement,
it is possible to detect magnetic-pole positions .theta. in high
precision even when the synchronous motor 1 is rotating.
[0189] A seventh embodiment will be explained next. In the second
to sixth embodiments, the magnetic-pole positions .theta. are
output using the currents iux, ivx and iwx of the components that
are orthogonal with the voltage vectors V1 to V6. However, in the
seventh embodiment, the magnetic-pole positions are output using
the current values of the components in phase with the voltage
vectors V1 to V6.
[0190] Referring to FIG. 9, when the voltage vector V1 is applied
to the synchronous motor 1, for example, a current iuz1 of a
U-phase in-phase component Ui that is a component in phase with the
voltage vector V1 can be expressed by the following equation
(21).
iuz1=2iu1-iv1-iw1 (21)
[0191] Similarly, currents iwz2 to ivz6 that are components in
phase with the voltage vectors V2 to V6 respectively when the
voltage vectors V2 to V6 are applied to the synchronous motor 1 can
be expressed by the following equations (22) to (26).
iwz2=2iw2-iu2-iv1 (22)
ivz3=2iv3-iw3-iu3 (23)
iuz4=2iu4-iv4-iw4 (24)
iwz5=2iw5-iu5-iv5 (25)
ivz6=2iv6-iw6-iu6 (26)
[0192] Further, when combinations based on the addition of the
currents iuz1 to ivz6 at phase positions of 180 degrees are defined
in order to eliminate the influence of the magnetic saturation in a
similar manner to that of the second embodiment, it is possible to
obtain the currents iuz to iwz as shown by the following equations
(27) to (29).
iuz=iuz1+iuz4-iz0 (27)
ivz=ivz3+ivz6-iz0 (28)
iwz=iuz2+iwz5-iz0 (29)
[0193] where, "iz0" is a value given by the following equation
(30).
iz0=(iuz1+iwz2+ivz3+iuz4+iwz5+ivz6)/3 (30)
[0194] The currents iuz, ivz and iwz obtained in this way and the
magnetic-pole positions .theta. have a relationship as shown in
FIG. 23. In FIG. 23, the currents iuz, ivz and iwz change in every
180-degree period without being affected by the magnetic
saturation.
[0195] Therefore, it is possible to output magnetic-pole positions
0 in a similar manner to that of the second to sixth embodiments by
using the large-and-small relationships of the currents iuz, iuz
and iwz, in place of the currents iux, ivx and iwx that are used in
the second to sixth embodiments.
[0196] Industrial Applicability
[0197] As explained above, the magnetic-pole position detecting
apparatus for a synchronous motor relating to the present invention
is effective in the field of the synchronous motor that can be
efficiently controlled in a simple structure. The magnetic-pole
position detecting apparatus for a synchronous motor can detect
magnetic-pole positions easily, correctly and in high
precision.
* * * * *