WO2015125586A1 - Power converter control apparatus and motor system having the same - Google Patents
Power converter control apparatus and motor system having the same Download PDFInfo
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- WO2015125586A1 WO2015125586A1 PCT/JP2015/052599 JP2015052599W WO2015125586A1 WO 2015125586 A1 WO2015125586 A1 WO 2015125586A1 JP 2015052599 W JP2015052599 W JP 2015052599W WO 2015125586 A1 WO2015125586 A1 WO 2015125586A1
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- power converter
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- driving signal
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- control apparatus
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Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M7/00—Conversion of AC power input into DC power output; Conversion of DC power input into AC power output
- H02M7/42—Conversion of DC power input into AC power output without possibility of reversal
- H02M7/44—Conversion of DC power input into AC power output without possibility of reversal by static converters
- H02M7/48—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/53—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M7/537—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
- H02M7/5387—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration
- H02M7/53871—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration with automatic control of output voltage or current
- H02M7/53875—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration with automatic control of output voltage or current with analogue control of three-phase output
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M7/00—Conversion of AC power input into DC power output; Conversion of DC power input into AC power output
- H02M7/42—Conversion of DC power input into AC power output without possibility of reversal
- H02M7/44—Conversion of DC power input into AC power output without possibility of reversal by static converters
- H02M7/48—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/53—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M7/537—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
- H02M7/539—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters with automatic control of output wave form or frequency
- H02M7/5395—Conversion of DC power input into AC power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters with automatic control of output wave form or frequency by pulse-width modulation
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P27/00—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage
- H02P27/04—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage
- H02P27/06—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using DC to AC converters or inverters
- H02P27/08—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using DC to AC converters or inverters with pulse width modulation
- H02P27/085—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using DC to AC converters or inverters with pulse width modulation wherein the PWM mode is adapted on the running conditions of the motor, e.g. the switching frequency
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P29/00—Arrangements for regulating or controlling electric motors, appropriate for both AC and DC motors
- H02P29/50—Reduction of harmonics
Definitions
- the present invention relates to a power converter control apparatus and a motor system including the power converter control apparatus.
- Moving bodies such as hybrid vehicles, electric cars, and so on, include a motor (electric machine) installed therein.
- a motor receives electric power from a power supply source, such as battery, and converts the electric power to mechanical power to generate a driving force. It is therefore desirable to minimize loss of power of the motor.
- Patent Document 1 discloses, as a modulation method with a smaller number of switching times as compared with PWM (Pulse Width Modulation), technology of eliminating high-order harmonic components (of the fifth order, the seventh order, the eleventh order, . . .) from specific waveform positions of rectangular waveform voltage to thereby reduce factors that would cause current distortion.
- PWM Pulse Width Modulation
- Patent Document 2 discloses technology of setting switching angles al to an such that a value obtained by dividing normalized harmonic loss by normalized fundamental wave power is minimal in an n-pulse mode, as the inverter voltage for driving the motor by the inverter, thereby eliminating the low-order harmonics while increasing the output voltage of the fundamental wave component.
- Patent Document 1 JP 201 1-35991 A
- Patent Document 2 JP 2012-120250 A
- the conventional harmonic suppression technology takes into consideration only reduction in the low-order harmonic components of the input voltage by switching of the inverter circuit, and does not take into consideration current distortion or effects on the torque when electric current is applied to the motor. Therefore, the conventional harmonic suppression technology does not take into consideration the iron loss of the motor caused by harmonic components of the current, and only partially considers the loss of the motor system.
- processing is executed while evaluating only the harmonic components of the controllable order in selected n pulses even when it is not necessary to completely delete specific low-order harmonics. This results in consideration and removal of only low-order harmonic components, failing to optimize the whole motor system to reduce the loss thereof.
- a power converter control apparatus configured to output driving voltage to a switching element of each phase provided in a three-phase full-bridge power converter.
- the power converter control apparatus includes a pulse number determining unit configured to determine the number of pulses in one electrical cycle; and a driving signal generator configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference.
- the driving signal generator decreases a pulse ratio, which is a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle, with an increase in the percent modulation.
- a motor system including a three-phase motor, and a power converter control apparatus which is configured to output driving voltage to a switching element of each phase provided in a three-phase full-bridge power converter and controls the three-phase motor.
- the power converter control apparatus includes a pulse number determining unit configured to determine the number of pulses in one electrical cycle, and a driving signal generator configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference.
- the driving signal generator decreases a pulse ratio, which is a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle, with an increase in the percent modulation.
- the driving signal generator decreases the pulse ratio from 100% with the increase in the percent modulation.
- the driving signal generator sets the number of pulses in one electrical cycle to one pulse or more, and changes the pulse ratio stepwise with respect to the percent modulation.
- the present invention it is possible to provide a power converter control apparatus and a motor system including the power converter control apparatus, which are capable of reducing the loss of the whole motor system.
- FIG. 1 is a view illustrating a structure of a motor system according to an embodiment of the present invention
- FIG. 2 is a view illustrating a structure of a control circuit according to the embodiment of the present invention.
- FIG. 3 is a view illustrating a structure of a driving signal generator according to the embodiment of the present invention.
- FIG. 4 is a view illustrating a relationship of a pulse ratio with a range of electrical angles from 60 degrees to 120 degrees with respect to a percent modulation according to the embodiment of the present invention
- FIG. 5 is a view illustrating example driving voltage generated in the embodiment of the present invention.
- FIG. 6 is a view illustrating example driving voltage generated in the embodiment of the present invention.
- FIG. 7 is a view illustrating an effect of reducing the loss in the embodiment of the present invention.
- a motor system includes a motor 100, a power source circuit 200, a power converter 300, and a power converter control apparatus 400, as illustrated in FIG. 1. Electric power supplied from the power source circuit 200 is DC-AC converted by the power converter 300 under control of the power converter control apparatus 400 and is supplied to the motor 100.
- the motor 100 is driven by the power supplied from the power source circuit 200.
- the motor 100 can be a synchronous machine having a permanent magnet in a rotor.
- the alternating current power from the power converter 300 is supplied to an armature winding of a stator of the motor 100, to thereby control rotation of the motor 100.
- the driving force of the motor 100 can be utilized, for example, as a driving force for movable bodies, such as hybrid vehicles and electric vehicles.
- the motor 100 may also be a motor generator which also functions as a power generator.
- electric power generated by power generation is AC-DC converted ty the power converter 300 for charging the battery of the power source circuit 200.
- the motor 100 may also include a resolver 10 attached thereto for detecting the rotation position (rotation angle) ⁇ of the rotor.
- the resolver 10 detects the rotation position (rotation angle) ⁇ of the rotor of the motor 100.
- the output from the resolver 10 is input to an angular velocity computing unit of the power converter control apparatus 400, where the rotation position is converted to an angular velocity co (number of revolutions) of the rotor of the motor 100.
- a current sensor 12 is also provided on a power source supply line to the motor 100.
- a current value iu, iv of each phase is detected in real time by the current sensor 12, and is converted from the current values iu and iv to a d-axis current value id and q-axis current value iq, respectively, by a three-phase/dq-axis converter of the power converter control apparatus 400.
- the power source circuit 200 includes a battery 20 and a smoothing capacitor 22.
- the electric power is supplied and received between the battery 20 and the motor 100 through the power converter 300.
- the smoothing capacitor 22 is provided to smooth the output voltage of the battery 20.
- the power converter 300 includes an inverter circuit.
- the power converter 300 can be formed as a three-phase full-bridge circuit including an upper arm and a lower arm having switching elements which are controlled to be opened or closed by a driving signal having a pulse shape output from the power converter control apparatus 400.
- Each of the upper arm and the lower arm is composed of an IGBT (Insulated Gate Bipolar Transistor), which is a switching element, and a diode which are connected in parallel to each other.
- the upper arms and the lower arms are connected in series with each other to thereby form three upper-lower arm series circuits.
- the midpoint of each upper-lower arm series circuit is connected to an alternating current power line of the motor 100.
- the switching elements of the upper arm and the lower arm receive a driving signal from the power converter control apparatus 400.
- the driving signal controls the open/close operations of the switching element of the inverter circuit, and three-phase dummy sine wave voltage is generated and supplied to the motor 100.
- the motor 100 functions as a generator, the three-phase alternating current power output from the motor 100 is converted to direct-current electric power, which is then supplied to the power source circuit 200.
- the power converter 300 may further include a voltage converter for boosting or decreasing the direct-current voltage.
- the power converter control apparatus 400 includes a control circuit 402 and a driver circuit 404.
- the control circuit 402 is configured to generate a driving signal to be supplied to the driver circuit 404.
- the control circuit 402 based on inputs from other control apparatuses and sensors, generates an unamplified driving signal for controlling the switching timing of the power converter 300.
- the driver circuit 404 in response to the unamplified driving signal generated by the control circuit 402, generates a driving signal by amplifying the unamplified driving signal, for example, for actually driving the switching elements of the power converter 300.
- the control circuit 402 can be implemented by a microcomputer configured to perform operation processing of the switching timing of the switching elements of the power converter 300.
- the control circuit 402 receives input of a target torque value T required for the motor 100, the current values iu and iv supplied from the power converter 300 to the motor 100, and the rotation angle ⁇ of the rotor of the motor 100.
- the target torque value T is a command signal output from an accelerator control unit or the like of a vehicle, which is a signal indicative of an output torque required for the motor 100.
- the control circuit 402 based on the target torque value T, computes a d-axis current command value and a q-axis current command value of the motor 100, and, based on a difference between these d-axis current command value and the q-axis current command value and the actual d-axis current value and q-axis current value corresponding to the detected current values iu and iv, computes a d-axis voltage command value and a q- axis voltage command value.
- the control circuit 402 further generates, from the d-axis voltage command value and the q-axis voltage command value, a pulsed modulation wave. This pulsed modulation wave signal is then amplified by the driver circuit 404 and output to the power converter 300.
- control circuit 402 includes an angular velocity computing unit 406, a three-phase/dq-axis converter 408, a current command generator 410, a current controller 412, a pulse number determining unit 414, and a driving signal generator 416.
- the angular velocity computing unit 406 receives a detection signal of the rotation position (rotation angle ⁇ ) of the rotor of the motor 100 supplied from the resolver 10 and converts the rotation position (rotation angle ⁇ ) to the angular velocity ⁇ (number of revolutions) of the rotor of the motor 100 and outputs the angular velocity ⁇ to the current command generator 410 and the driving signal generator 416.
- the angular velocity computing unit 406 is mainly composed of a differentiator.
- the three-phase/dq-axis converter 408 receives the detected values of the current values iu and iv of the current flowing in the motor 100 from the current sensor 12 and a detection signal of the rotation position (rotation angle ⁇ ) of the rotor supplied from the resolver 10, and converts the current values iu and iv to the d-axis current value id and the q-axis current value iq and outputs these values to the current controller 412.
- the current command generator 410 in response to the input target torque value T output from an external accelerator control unit or the like, generates and outputs a d-axis current command signal id * and a q-axis current command signal iq * , which are current command values with respect to the motor 100. Specifically, the current command generator 410, based on the relationship between the target torque value T and the angular velocity ⁇ of the rotor, generates the d-axis current command signal id * and the q-axis current command signal iq * .
- a current command value table including the d-axis current command signal id * and the q-axis current command signal iq * registered in association with a combination of the target torque value T and the angular velocity ⁇ of the rotor may be registered, so that the d-axis current command signal id * and the q-axis current command signal iq * , which are associated with the input target torque value T and the angular velocity co of the rotor, can be read and output.
- the current controller 412 in response to the d-axis current command signal id * and the q-axis current command signal iq * from the current command generator 410 and the d-axis current value id and the q-axis current value iq of the current actually flowing in the motor 100, supplied from the three-phase/dq-axis converter 408, computes a d-axis voltage command signal Vd * and a q-axis voltage command signal Vq * such that the d-axis current value id and the q-axis current value iq follow the d-axis current command signal id * and the q-axis current command signal iq * , respectively.
- the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * which are computed are input to the pulse number determining unit 414 and the driving signal generator 416.
- the pulse number determining unit 414 determines the number of pulses included in one electrical cycle of the driving signal generated in the driving signal generator 416. Specifically, the pulse number determining unit 414, in response to the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * , which are input, determines the number of pulses in the one electrical cycle, in accordance with the percent modulation (a) calculated from the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * . For example, the number of pulses may preferably vary within a range from 1 pulse to 31 pulses in accordance with the percent modulation (a).
- the percent modulation (a) can be calculated by the pulse number determining unit 414 in a manner similar to the driving signal generator 416 which will be described below. At this time, it is preferable to set the number of pulses in accordance with the percent modulation (a) such that the loss in the actual motor 100 can be reduced as much as possible.
- the driving signal generator 416 receives the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * , the rotation position (rotation angle ⁇ ) of the rotor and the angular velocity co (number of revolutions), and the number of pulses, and generates and outputs a driving signal which is a pulsed signal for driving the power converter 300.
- the driving signal generator 416 includes, as illustrated in FIG. 3, a voltage phase difference computing unit 420, a percent modulation computing unit 422, and a pulse generator 424.
- the voltage phase difference computing unit 420 receives the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * , and calculates, from these signals, a phase difference between the magnetic pole position and the voltage phase; i.e., a voltage phase difference.
- the voltage phase difference ⁇ can be calculated based on the following Equation (1).
- the percent modulation computing unit 422 in response to the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * , calculates a percent modulation by normalizing the magnitude of a vector formed by the d-axis voltage command signal Vd * and the q-axis voltage command signal Vq * .
- the percent modulation (a) can be calculated based on the following Equation (2) wherein Vdc is battery voltage.
- the pulse generator 424 receives the percent modulation (a), a voltage phase signal ⁇ , the angular velocity ⁇ (number of revolutions) of the rotor, and the number of pulses, and generates, based on these values, a driving signal which is a pulsed signal.
- the voltage phase signal ⁇ is a value obtained by adding the rotation position (rotation angle ⁇ ) of the rotor to the voltage phase difference ⁇ .
- the voltage phase signal ⁇ can be represented by the following Equation (3), where the rotation angle of the rotor is ⁇ .
- ⁇ v ⁇ + ⁇ (3)
- the pulse generator 424 generates a driving signal such that the pulse ratio, which is a ratio of the number of pulses within the range of electrical angle of 60 degrees or greater and 120 degrees or smaller ( ⁇ /3 to 2 ⁇ /3) with respect to the total number of pulses in an electrical half cycle, decreases with an increase in the percent modulation (a).
- a driving signal is generated such that, when the percent modulation (a) is small, the ratio of the number of pulses within the range of electrical angle of 60 degrees or greater and 120 degrees or smaller in the electrical half cycle is great and the ratio of the number of pulses within the range of electrical angle of 60 degrees or greater and 120 degrees or smaller in the electrical half cycle decreases with an increase in the percent modulation (a).
- the pulse generator 424 uses an evaluation function which takes into consideration eddy-current loss in the motor 100 to determine the pulse waveform (switching pattern) of the driving signal.
- the conventional driving signal determining method including both low-order harmonic elimination PWM and low-order harmonic amplitude and phase control PWM, eliminates specific harmonics contained in the driving signal or controls the specific harmonics to a target value. In this case, only the harmonics which are equal in number to or smaller than the controllable number in the pulse waveform (switching pattern) of the driving signal are considered, and thus only the low-order harmonic is suppressed in view of improvement in current distortion and controllability to improve the current distortion, thereby attempting to reduce the motor loss.
- the present embodiment has therefore adopted a method of determining the pulse waveform (switching pattern) of a driving signal, which takes into consideration not only the low-order harmonics but also the high-order harmonics.
- the pulse waveform of the driving signal can be represented by the following Equation (4) using Fourier series expansion.
- n 1 , 5, 7, 1 1 , 13... (odd number integer)
- p denotes the number of pulses
- M p-1.
- the amplitude C n and the phase a n for each order can be obtained based on the following Equation (5).
- the amplitude C n and the phase a n thus obtained are used to determine the pulse waveform (switching pattern) of the driving signal which realizes a reduced loss.
- the motor iron loss Wi can be represented by the following Formula (6) according to Steinmetz's empirical formula.
- Wj denotes a motor iron loss
- W h denotes a hysteresis loss
- W e denotes an eddy current loss
- Kh denotes a hysteresis loss coefficient
- Bm denotes a magnetic flux density
- f denotes a rotation magnetic flux frequency
- K e denotes an eddy current loss coefficient.
- the eddy current loss is determined as an evaluation function.
- the switching pattern is then determined such that this evaluation function is minimized.
- This evaluation function is used to determine the pulse waveform (switching pattern) of the driving signal.
- the amplitude and phase of the fundamental wave contained in the driving signal are given.
- the fundamental wave amplitude is determined based on the percent modulation (a).
- ai in Formula (4) is set to 0.
- the pulse waveform (switching pattern) of the driving signal is determined such that the eddy current loss in the iron loss is the minimum value.
- FIG. 4 shows an example correspondence of the pulse ratio within the range of the electrical angle of 60 degrees or more and 120 degrees or less with respect to the percent modulation (a).
- the pulse generator 424 is controlled to generate a driving signal such that, until the percent modulation (a) exceeds about 0.7, the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller is 100%, as illustrated in FIG. 5.
- the pulse generator 424 is further controlled to generate a driving signal such that, when the percent modulation (a) exceeds about 0.72, the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller becomes 0.
- the pulse generator 424 is controlled to generate a driving signal such that the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller is 100% in the range of the percent modulation (a) from 0 to 0.14, and to generate a driving signal such that the pulse ratio is decreased stepwise as the percent modulation (a) increases and a part of the pulse is included in the range of the electrical angle below 60 degrees or exceeding 120 degrees, as shown in FIG. 6 (b).
- the pulse generator 424 is further controlled to generate a driving signal such that when the percent modulation (a) exceeds about 0.72, the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller is minimum.
- the unamplified driving signal generated in the pulse generator 424 is amplified and so on by the driver circuit 404, and input to the power converter 300.
- the driver circuit 404 when driving the lower arm, amplifies a signal having a pulsed modulation wave and applies the signal, as a driving signal, to a gate electrode of the switching element (IGBT) of the lower arm. Further, the driver circuit 404, when driving the upper arm, shifts the level of the reference potential of a pulsed modulation wave signal to the level of the reference potential of the upper arm and thereafter amplifies the pulsed modulation wave signal, and applies this signal, as a driving signal, to the gate electrode of the switching element (IGBT) of the upper arm.
- each switching element (IGBT) of the power converter 300 is to be switched based on the input driving signal.
- the direct-current electric power supplied from the power source circuit 200 is converted to driving voltages Vu, Vv, Vw of U, V, and W phases, respectively, which are shifted from each other by an electrical angle of 2 ⁇ /3 degrees, and these driving voltages Vu, Vv, Vw of U, V, and W phases are then supplied to the motor 100, which is a three- phase alternating current motor.
- a driving signal is generated such that the pulses are concentrated in the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller, so that the voltage applied to the motor can include harmonic components of higher order as compared to the conventional art. This allows a behavior as if the number of pulses of switching of the power converter 300 increases, which makes it possible to suppress the loss, especially the iron loss, in the motor 100.
- FIG. 7 shows a result of comparison of the loss ratio in the motor 100 with respect to the number of pulses included in the electrical half cycle, between when generating a driving signal with the conventional triangular wave comparison PWM method and when generating a driving signal with the structure of the present invention.
- the structure of the present application allows a reduction in the loss of the motor 100 in all the number pulses.
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Abstract
A power converter control apparatus includes a pulse number determining unit 414 configured to determine the number of pulses in one electrical cycle, and a driving signal generator 416 configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference. The driving signal generator 416 decreases a pulse ratio, which is a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle, with an increase in the percent modulation.
Description
DESCRIPTION
TITLE OF THE INVENTION POWER CONVERTER CONTROL APPARATUS AND
MOTOR SYSTEM HAVING THE SAME
TECHNICAL FIELD
The present invention relates to a power converter control apparatus and a motor system including the power converter control apparatus.
BACKGROUND ART
Moving bodies, such as hybrid vehicles, electric cars, and so on, include a motor (electric machine) installed therein. A motor receives electric power from a power supply source, such as battery, and converts the electric power to mechanical power to generate a driving force. It is therefore desirable to minimize loss of power of the motor.
Patent Document 1 discloses, as a modulation method with a smaller number of switching times as compared with PWM (Pulse Width Modulation), technology of eliminating high-order harmonic components (of the fifth order, the seventh order, the eleventh order, . . .) from specific waveform positions of rectangular waveform voltage to thereby reduce factors that would cause current distortion.
Patent Document 2 discloses technology of setting switching angles al to an such that a value obtained by dividing normalized harmonic loss by normalized fundamental wave power is minimal in an n-pulse mode, as the inverter voltage for driving the motor by the inverter, thereby eliminating the low-order harmonics while increasing the output voltage of the fundamental wave component.
PRIOR ART DOCUMENTS
PATENT LITERATURE
Patent Document 1 : JP 201 1-35991 A
Patent Document 2: JP 2012-120250 A
SUMMARY OF INVENTION
TECHNICAL PROBLEMS
The conventional harmonic suppression technology takes into consideration only reduction in the low-order harmonic components of the input voltage by switching of the inverter circuit, and does not take into consideration current distortion or effects on the torque when electric current is applied to the motor. Therefore, the conventional harmonic suppression technology does not take into consideration the iron loss of the motor caused by harmonic components of the current, and only partially considers the loss of the motor system.
Further, according to the conventional technology, processing is executed while evaluating only the harmonic components of the controllable order in selected n pulses even when it is not necessary to completely delete specific low-order harmonics. This results in consideration and removal of only low-order harmonic components, failing to optimize the whole motor system to reduce the loss thereof.
SOLUTION TO PROBLEMS
According to One aspect of the invention, there is provided a power converter control apparatus configured to output driving voltage to a switching element of each phase provided in a three-phase full-bridge power converter. The power converter control apparatus includes a pulse number determining unit configured to determine the number of pulses in one electrical cycle; and a driving signal generator configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference.
The driving signal generator decreases a pulse ratio, which is a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle, with an increase in the percent modulation.
According to another aspect of the present invention, there is provided a motor system including a three-phase motor, and a power converter control apparatus which is configured to output driving voltage to a switching element of each phase provided in a three-phase full-bridge power converter and controls the three-phase motor. The power converter control apparatus includes a pulse number determining unit configured to determine the number of pulses in one electrical cycle, and a driving signal generator configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference. The driving signal generator decreases a pulse ratio, which is a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle, with an increase in the percent modulation.
The driving signal generator decreases the pulse ratio from 100% with the increase in the percent modulation.
The driving signal generator sets the number of pulses in one electrical cycle to one pulse or more, and changes the pulse ratio stepwise with respect to the percent modulation.
ADVANTAGEOUS EFFECTS OF INVENTION
According to the present invention, it is possible to provide a power converter control apparatus and a motor system including the power converter control apparatus, which are capable of reducing the loss of the whole motor system.
BRIEF DESCRIPTION OF DRAWINGS
These and other objects of the invention will be explained in the description below, by reference to the accompanying drawings, in which:
FIG. 1 is a view illustrating a structure of a motor system according to an embodiment of the present invention;
FIG. 2 is a view illustrating a structure of a control circuit according to the embodiment of the present invention;
FIG. 3 is a view illustrating a structure of a driving signal generator according to the embodiment of the present invention;
FIG. 4 is a view illustrating a relationship of a pulse ratio with a range of electrical angles from 60 degrees to 120 degrees with respect to a percent modulation according to the embodiment of the present invention;
FIG. 5 is a view illustrating example driving voltage generated in the embodiment of the present invention;
FIG. 6 is a view illustrating example driving voltage generated in the embodiment of the present invention; and
FIG. 7 is a view illustrating an effect of reducing the loss in the embodiment of the present invention.
DESCRIPTION OF EMBODIMENTS
A motor system according to an embodiment of the present invention includes a motor 100, a power source circuit 200, a power converter 300, and a power converter control apparatus 400, as illustrated in FIG. 1. Electric power supplied from the power source circuit 200 is DC-AC converted by the power converter 300 under control of the power converter control apparatus 400 and is supplied to the motor 100.
The motor 100 is driven by the power supplied from the power source circuit 200.
The motor 100 can be a synchronous machine having a permanent magnet in a rotor. The alternating current power from the power converter 300 is supplied to an armature winding
of a stator of the motor 100, to thereby control rotation of the motor 100. The driving force of the motor 100 can be utilized, for example, as a driving force for movable bodies, such as hybrid vehicles and electric vehicles.
The motor 100 may also be a motor generator which also functions as a power generator. In this case, electric power generated by power generation is AC-DC converted ty the power converter 300 for charging the battery of the power source circuit 200.
The motor 100 may also include a resolver 10 attached thereto for detecting the rotation position (rotation angle) Θ of the rotor. The resolver 10 detects the rotation position (rotation angle) Θ of the rotor of the motor 100. The output from the resolver 10 is input to an angular velocity computing unit of the power converter control apparatus 400, where the rotation position is converted to an angular velocity co (number of revolutions) of the rotor of the motor 100.
A current sensor 12 is also provided on a power source supply line to the motor 100. A current value iu, iv of each phase is detected in real time by the current sensor 12, and is converted from the current values iu and iv to a d-axis current value id and q-axis current value iq, respectively, by a three-phase/dq-axis converter of the power converter control apparatus 400.
The power source circuit 200 includes a battery 20 and a smoothing capacitor 22. The electric power is supplied and received between the battery 20 and the motor 100 through the power converter 300. The smoothing capacitor 22 is provided to smooth the output voltage of the battery 20.
The power converter 300 includes an inverter circuit. The power converter 300 can be formed as a three-phase full-bridge circuit including an upper arm and a lower arm having switching elements which are controlled to be opened or closed by a driving signal having a pulse shape output from the power converter control apparatus 400.
Each of the upper arm and the lower arm is composed of an IGBT (Insulated Gate Bipolar Transistor), which is a switching element, and a diode which are connected in
parallel to each other. The upper arms and the lower arms are connected in series with each other to thereby form three upper-lower arm series circuits. The midpoint of each upper-lower arm series circuit is connected to an alternating current power line of the motor 100. The switching elements of the upper arm and the lower arm receive a driving signal from the power converter control apparatus 400. The driving signal controls the open/close operations of the switching element of the inverter circuit, and three-phase dummy sine wave voltage is generated and supplied to the motor 100. When the motor 100 functions as a generator, the three-phase alternating current power output from the motor 100 is converted to direct-current electric power, which is then supplied to the power source circuit 200.
Further, the power converter 300 may further include a voltage converter for boosting or decreasing the direct-current voltage.
The power converter control apparatus 400 includes a control circuit 402 and a driver circuit 404. The control circuit 402 is configured to generate a driving signal to be supplied to the driver circuit 404. The control circuit 402, based on inputs from other control apparatuses and sensors, generates an unamplified driving signal for controlling the switching timing of the power converter 300. The driver circuit 404, in response to the unamplified driving signal generated by the control circuit 402, generates a driving signal by amplifying the unamplified driving signal, for example, for actually driving the switching elements of the power converter 300.
The control circuit 402 can be implemented by a microcomputer configured to perform operation processing of the switching timing of the switching elements of the power converter 300. The control circuit 402 receives input of a target torque value T required for the motor 100, the current values iu and iv supplied from the power converter 300 to the motor 100, and the rotation angle Θ of the rotor of the motor 100. The target torque value T is a command signal output from an accelerator control unit or the like of a vehicle, which is a signal indicative of an output torque required for the motor 100.
The control circuit 402, based on the target torque value T, computes a d-axis
current command value and a q-axis current command value of the motor 100, and, based on a difference between these d-axis current command value and the q-axis current command value and the actual d-axis current value and q-axis current value corresponding to the detected current values iu and iv, computes a d-axis voltage command value and a q- axis voltage command value. The control circuit 402 further generates, from the d-axis voltage command value and the q-axis voltage command value, a pulsed modulation wave. This pulsed modulation wave signal is then amplified by the driver circuit 404 and output to the power converter 300.
As illustrated in FIG. 2, the control circuit 402 includes an angular velocity computing unit 406, a three-phase/dq-axis converter 408, a current command generator 410, a current controller 412, a pulse number determining unit 414, and a driving signal generator 416.
The angular velocity computing unit 406 receives a detection signal of the rotation position (rotation angle Θ) of the rotor of the motor 100 supplied from the resolver 10 and converts the rotation position (rotation angle Θ) to the angular velocity ω (number of revolutions) of the rotor of the motor 100 and outputs the angular velocity ω to the current command generator 410 and the driving signal generator 416. The angular velocity computing unit 406 is mainly composed of a differentiator.
The three-phase/dq-axis converter 408 receives the detected values of the current values iu and iv of the current flowing in the motor 100 from the current sensor 12 and a detection signal of the rotation position (rotation angle Θ) of the rotor supplied from the resolver 10, and converts the current values iu and iv to the d-axis current value id and the q-axis current value iq and outputs these values to the current controller 412.
The current command generator 410, in response to the input target torque value T output from an external accelerator control unit or the like, generates and outputs a d-axis current command signal id* and a q-axis current command signal iq*, which are current command values with respect to the motor 100. Specifically, the current command generator 410, based on the relationship between the target torque value T and the angular
velocity ω of the rotor, generates the d-axis current command signal id* and the q-axis current command signal iq*. More specifically, a current command value table including the d-axis current command signal id* and the q-axis current command signal iq* registered in association with a combination of the target torque value T and the angular velocity ω of the rotor may be registered, so that the d-axis current command signal id* and the q-axis current command signal iq*, which are associated with the input target torque value T and the angular velocity co of the rotor, can be read and output.
The current controller 412, in response to the d-axis current command signal id* and the q-axis current command signal iq* from the current command generator 410 and the d-axis current value id and the q-axis current value iq of the current actually flowing in the motor 100, supplied from the three-phase/dq-axis converter 408, computes a d-axis voltage command signal Vd* and a q-axis voltage command signal Vq* such that the d-axis current value id and the q-axis current value iq follow the d-axis current command signal id* and the q-axis current command signal iq*, respectively. The d-axis voltage command signal Vd* and the q-axis voltage command signal Vq* which are computed are input to the pulse number determining unit 414 and the driving signal generator 416.
The pulse number determining unit 414 determines the number of pulses included in one electrical cycle of the driving signal generated in the driving signal generator 416. Specifically, the pulse number determining unit 414, in response to the d-axis voltage command signal Vd* and the q-axis voltage command signal Vq*, which are input, determines the number of pulses in the one electrical cycle, in accordance with the percent modulation (a) calculated from the d-axis voltage command signal Vd* and the q-axis voltage command signal Vq*. For example, the number of pulses may preferably vary within a range from 1 pulse to 31 pulses in accordance with the percent modulation (a). The percent modulation (a) can be calculated by the pulse number determining unit 414 in a manner similar to the driving signal generator 416 which will be described below. At this time, it is preferable to set the number of pulses in accordance with the percent modulation (a) such that the loss in the actual motor 100 can be reduced as much as
possible.
The driving signal generator 416 receives the d-axis voltage command signal Vd* and the q-axis voltage command signal Vq*, the rotation position (rotation angle Θ) of the rotor and the angular velocity co (number of revolutions), and the number of pulses, and generates and outputs a driving signal which is a pulsed signal for driving the power converter 300. The driving signal generator 416 includes, as illustrated in FIG. 3, a voltage phase difference computing unit 420, a percent modulation computing unit 422, and a pulse generator 424.
The voltage phase difference computing unit 420 receives the d-axis voltage command signal Vd* and the q-axis voltage command signal Vq*, and calculates, from these signals, a phase difference between the magnetic pole position and the voltage phase; i.e., a voltage phase difference. The voltage phase difference δ can be calculated based on the following Equation (1).
δ = a t a n (V d W q * ) (1)
The percent modulation computing unit 422, in response to the d-axis voltage command signal Vd* and the q-axis voltage command signal Vq*, calculates a percent modulation by normalizing the magnitude of a vector formed by the d-axis voltage command signal Vd* and the q-axis voltage command signal Vq*. The percent modulation (a) can be calculated based on the following Equation (2) wherein Vdc is battery voltage.
a = (/" ( V d 2 + V q 2 ) ) /V d c (2)
The pulse generator 424 receives the percent modulation (a), a voltage phase signal θν, the angular velocity ω (number of revolutions) of the rotor, and the number of pulses, and generates, based on these values, a driving signal which is a pulsed signal. Here, the voltage phase signal θν is a value obtained by adding the rotation position (rotation angle Θ) of the rotor to the voltage phase difference δ. Specifically, the voltage phase signal θν can be represented by the following Equation (3), where the rotation angle of the rotor is Θ.
Θ v = δ + θ (3)
The pulse generator 424 generates a driving signal such that the pulse ratio, which is a ratio of the number of pulses within the range of electrical angle of 60 degrees or greater and 120 degrees or smaller (π/3 to 2π/3) with respect to the total number of pulses in an electrical half cycle, decreases with an increase in the percent modulation (a). Specifically, a driving signal is generated such that, when the percent modulation (a) is small, the ratio of the number of pulses within the range of electrical angle of 60 degrees or greater and 120 degrees or smaller in the electrical half cycle is great and the ratio of the number of pulses within the range of electrical angle of 60 degrees or greater and 120 degrees or smaller in the electrical half cycle decreases with an increase in the percent modulation (a).
The pulse generator 424 uses an evaluation function which takes into consideration eddy-current loss in the motor 100 to determine the pulse waveform (switching pattern) of the driving signal. The conventional driving signal determining method, including both low-order harmonic elimination PWM and low-order harmonic amplitude and phase control PWM, eliminates specific harmonics contained in the driving signal or controls the specific harmonics to a target value. In this case, only the harmonics which are equal in number to or smaller than the controllable number in the pulse waveform (switching pattern) of the driving signal are considered, and thus only the low-order harmonic is suppressed in view of improvement in current distortion and controllability to improve the current distortion, thereby attempting to reduce the motor loss. However, under low revolution and light load conditions, the motor loss reduction effect achieved by such suppression of low-order harmonic is small, and also the control of the low-order harmonic results in an increase in high-order harmonics which are not the subject of control, leading to an increase in the motor iron loss. The present embodiment has therefore adopted a method of determining the pulse waveform (switching pattern) of a driving signal, which takes into consideration not only the low-order harmonics but also the high-order harmonics.
In the present embodiment, as in the low-order harmonic amplitude and phase control PWM, the driving signal has half- wave symmetry [f(cot) = -f( ot + π)]. The method which adopts such a pulse waveform (switching pattern) of the driving signal can provide an advantage in that, as compared to the driving signal having half- wave symmetry [f(cot) = -f(cot + π)] and odd symmetry [f(cot) = ί(π - cot)] which is used in the conventional low-order harmonic elimination PWM, the range of choices for the pulse waveform (switching pattern) is wider, and therefore improved controllability can be expected for both amplitude and phase of the frequency components contained in the driving signal.
The pulse waveform of the driving signal can be represented by the following Equation (4) using Fourier series expansion. Here, n = 1 , 5, 7, 1 1 , 13... (odd number integer), p denotes the number of pulses, and the number of switching in electrical half cycle is M = p-1.
/(0 ) = ^ + X (a, cos η θ + bn sin
1 f 22 2 M
a.. f /(0)COS H /0 = y (-rf sin rcc
With a coefficient an and a coefficient bn of Equation (4), the amplitude Cn and the phase an for each order can be obtained based on the following Equation (5). The amplitude Cn and the phase an thus obtained are used to determine the pulse waveform (switching pattern) of the driving signal which realizes a reduced loss.
an - tan (5)
The motor iron loss Wi can be represented by the following Formula (6) according
to Steinmetz's empirical formula. Here, Wj denotes a motor iron loss, Wh denotes a hysteresis loss, We denotes an eddy current loss, Kh denotes a hysteresis loss coefficient, Bm denotes a magnetic flux density, f denotes a rotation magnetic flux frequency, and Ke denotes an eddy current loss coefficient.
Wl = Wk + W. = KhB f + KeB f2 (6)
Here, as the ratio of the eddy current loss with respect to the entire iron loss is large, the eddy current loss is determined as an evaluation function. The switching pattern is then determined such that this evaluation function is minimized.
This evaluation function is used to determine the pulse waveform (switching pattern) of the driving signal. As a constraint, the amplitude and phase of the fundamental wave contained in the driving signal are given. The fundamental wave amplitude is determined based on the percent modulation (a). As the fundamental wave phase is 0 degree, ai in Formula (4) is set to 0. With these constraints described above, the pulse waveform (switching pattern) of the driving signal is determined such that the eddy current loss in the iron loss is the minimum value.
FIG. 4 shows an example correspondence of the pulse ratio within the range of the electrical angle of 60 degrees or more and 120 degrees or less with respect to the percent modulation (a).
When the total number of pulses is 5, for example, the pulse generator 424 is controlled to generate a driving signal such that, until the percent modulation (a) exceeds about 0.7, the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller is 100%, as illustrated in FIG. 5. The pulse generator 424 is further controlled to generate a driving signal such that, when the percent modulation (a) exceeds about 0.72, the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller becomes 0.
When the total number of pulses is 27, for example, as illustrated in FIG. 6 (a), the pulse generator 424 is controlled to generate a driving signal such that the pulse ratio
within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller is 100% in the range of the percent modulation (a) from 0 to 0.14, and to generate a driving signal such that the pulse ratio is decreased stepwise as the percent modulation (a) increases and a part of the pulse is included in the range of the electrical angle below 60 degrees or exceeding 120 degrees, as shown in FIG. 6 (b). The pulse generator 424 is further controlled to generate a driving signal such that when the percent modulation (a) exceeds about 0.72, the pulse ratio within the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller is minimum.
The unamplified driving signal generated in the pulse generator 424 is amplified and so on by the driver circuit 404, and input to the power converter 300. The driver circuit 404, when driving the lower arm, amplifies a signal having a pulsed modulation wave and applies the signal, as a driving signal, to a gate electrode of the switching element (IGBT) of the lower arm. Further, the driver circuit 404, when driving the upper arm, shifts the level of the reference potential of a pulsed modulation wave signal to the level of the reference potential of the upper arm and thereafter amplifies the pulsed modulation wave signal, and applies this signal, as a driving signal, to the gate electrode of the switching element (IGBT) of the upper arm. Thus, each switching element (IGBT) of the power converter 300 is to be switched based on the input driving signal. With this switching, the direct-current electric power supplied from the power source circuit 200 is converted to driving voltages Vu, Vv, Vw of U, V, and W phases, respectively, which are shifted from each other by an electrical angle of 2π/3 degrees, and these driving voltages Vu, Vv, Vw of U, V, and W phases are then supplied to the motor 100, which is a three- phase alternating current motor.
In the present embodiment, a driving signal is generated such that the pulses are concentrated in the range of the electrical angle of 60 degrees or greater and 120 degrees or smaller, so that the voltage applied to the motor can include harmonic components of higher order as compared to the conventional art. This allows a behavior as if the number of pulses of switching of the power converter 300 increases, which makes it possible to
suppress the loss, especially the iron loss, in the motor 100.
FIG. 7 shows a result of comparison of the loss ratio in the motor 100 with respect to the number of pulses included in the electrical half cycle, between when generating a driving signal with the conventional triangular wave comparison PWM method and when generating a driving signal with the structure of the present invention. As is obvious from FIG. 7, the structure of the present application allows a reduction in the loss of the motor 100 in all the number pulses.
Claims
1. A power converter control apparatus configured to output driving voltage to a switching element of each phase provided in a three-phase full-bridge power converter, the power converter control apparatus comprising:
a pulse number determining unit configured to determine the number of pulses in electrical one cycle; and
a driving signal generator configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference,
the driving signal generator decreasing a pulse ratio with an increase in the percent modulation, the pulse ratio being a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle.
2. The power converter control apparatus according to claim 1 ,
wherein the driving signal generator decreases the pulse ratio from 100% with an increase in the percent modulation.
3. The power converter control apparatus according to claim 1 ,
wherein the driving signal generator sets the number of pulses in one electrical cycle to one pulse or more, and changes the pulse ratio stepwise with respect to the percent modulation.
4. The power converter control apparatus according to claim 2,
wherein the driving signal generator sets the number of pulses in one electrical cycle to one pulse or more, and changes the pulse ratio stepwise with respect to the percent modulation.
5. A motor system comprising:
a three-phase motor; and
a power converter control apparatus configured to output driving voltage to a switching element of each phase provided in a three-phase full-bridge power converter, the power converter control apparatus controlling the three-phase motor,
the power converter control apparatus comprising:
a pulse number determining unit configured to determine the number of pulses in one electrical cycle; and
a driving signal generator configured to determine a percent modulation and a phase difference of the driving voltage and generate the driving voltage in accordance with the percent modulation and the phase difference,
the driving signal generator decreasing a pulse ratio with an increase in the percent modulation, the pulse ratio being a ratio of the number of pulses within a range of electrical angle of 60 degrees to 120 degrees with respect to the number of all pulses in an electrical half cycle.
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| Application Number | Priority Date | Filing Date | Title |
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| JP2014030932A JP5986595B2 (en) | 2014-02-20 | 2014-02-20 | Power converter control device and motor system including the same |
| JP2014-030932 | 2014-02-20 |
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| WO2015125586A1 true WO2015125586A1 (en) | 2015-08-27 |
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| Application Number | Title | Priority Date | Filing Date |
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| PCT/JP2015/052599 Ceased WO2015125586A1 (en) | 2014-02-20 | 2015-01-22 | Power converter control apparatus and motor system having the same |
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| WO (1) | WO2015125586A1 (en) |
Cited By (5)
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| EP3240187A1 (en) * | 2016-04-28 | 2017-11-01 | Toyota Jidosha Kabushiki Kaisha | Vehicle |
| US10279802B2 (en) | 2016-10-19 | 2019-05-07 | Toyota Jidosha Kabushiki Kaisha | Drive apparatus and automobile |
| CN111697817A (en) * | 2020-06-18 | 2020-09-22 | 中车长春轨道客车股份有限公司 | Anti-electromagnetic interference device of motor train unit inverter |
| US10850636B2 (en) | 2016-12-09 | 2020-12-01 | Denso Corporation | Drive device, vehicle, and control method for drive device |
| US11358476B2 (en) | 2016-10-19 | 2022-06-14 | Toyota Jidosha Kabushiki Kaisha | Drive device and vehicle |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP6699327B2 (en) * | 2016-04-28 | 2020-05-27 | トヨタ自動車株式会社 | Automobile |
| JP7373959B2 (en) * | 2019-09-27 | 2023-11-06 | 太陽誘電株式会社 | Iron loss calculation method and calculation device |
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| US10279802B2 (en) | 2016-10-19 | 2019-05-07 | Toyota Jidosha Kabushiki Kaisha | Drive apparatus and automobile |
| US11358476B2 (en) | 2016-10-19 | 2022-06-14 | Toyota Jidosha Kabushiki Kaisha | Drive device and vehicle |
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| CN111697817A (en) * | 2020-06-18 | 2020-09-22 | 中车长春轨道客车股份有限公司 | Anti-electromagnetic interference device of motor train unit inverter |
| CN111697817B (en) * | 2020-06-18 | 2023-05-12 | 中车长春轨道客车股份有限公司 | Electromagnetic interference resistant device of motor train unit inverter |
Also Published As
| Publication number | Publication date |
|---|---|
| JP5986595B2 (en) | 2016-09-06 |
| JP2015156755A (en) | 2015-08-27 |
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