CN112953343A - Novel position-sensor-free initial positioning method of switched reluctance motor - Google Patents

Novel position-sensor-free initial positioning method of switched reluctance motor Download PDF

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CN112953343A
CN112953343A CN202110148226.6A CN202110148226A CN112953343A CN 112953343 A CN112953343 A CN 112953343A CN 202110148226 A CN202110148226 A CN 202110148226A CN 112953343 A CN112953343 A CN 112953343A
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CN112953343B (en
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孙建忠
王连晟
白凤仙
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Dalian University of Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/24Vector control not involving the use of rotor position or rotor speed sensors
    • H02P21/32Determining the initial rotor position
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P6/00Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
    • H02P6/14Electronic commutators
    • H02P6/16Circuit arrangements for detecting position
    • H02P6/18Circuit arrangements for detecting position without separate position detecting elements
    • H02P6/185Circuit arrangements for detecting position without separate position detecting elements using inductance sensing, e.g. pulse excitation

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Abstract

The invention provides a novel position-sensorless initial positioning method of a switched reluctance motor, and belongs to the field of switched reluctance motors. The method comprises the steps of firstly predicting a feedback current peak value at the intersection point position of 2 phase inductors through a threshold automatic identification strategy, obtaining current threshold values at two special positions according to the high linearization of the inductance of a rotor inductance ascending area of the switched reluctance motor, and then carrying out sector judgment and high-precision initial position estimation by comparing the size relationship between the feedback current peak value detected by pulse injection and the corrected current threshold value. The method provided by the invention not only can accurately control the initial conducting phase, but also can realize the non-reversal starting of the motor; the current threshold value is obtained through an automatic measuring program, so that the phenomenon that a large amount of time is consumed by artificial measurement is avoided, voltage correction is carried out on the threshold value, the influence of voltage fluctuation is effectively overcome, the turn-on angle and the turn-off angle of a conducting phase are adjustable during low-speed operation, single-beat and double-beat operation can be realized, and the operation state of the motor is optimized.

Description

Novel position-sensor-free initial positioning method of switched reluctance motor
Technical Field
The invention belongs to the field of switched reluctance motors, and particularly relates to a novel position-sensor-free initial positioning method of a switched reluctance motor.
Background
The switched reluctance motor is a typical brushless double salient structure motor, and accurate rotor position detection is an important link for ensuring reliable operation of the switched reluctance motor. At present, photoelectric or magnetic-sensitive mechanical position sensors are generally adopted to detect the position of a rotor, but in an environment with more oil stains and dust, a detection element of the photoelectric position sensor is easy to malfunction, so that a position signal is wrong; the detection element of the magnetic-sensing position sensor is easy to be interfered by magnetic dust and high-frequency electromagnetic field to lose efficacy; under the high-temperature environment, the detection element is easy to damage and fail; the interference of the high-frequency electromagnetic field may cause the detection accuracy of the magnetosensitive element to be degraded. The existence of the mechanical position sensor reduces the reliability of the switched reluctance motor system, so that the rotor position information is detected by adopting a position sensor-free technology, and the method has important significance for reducing the system cost of the switched reluctance motor and improving the system reliability.
In many applications, the initial conducting phase needs to be accurately controlled in order to achieve a non-reverse starting of the motor. At present, there are two main methods for initial positioning without a position sensor based on a pulse injection method: the first method is a pulse injection inductance partition method, which can only judge the range of the rotor position, easily causes reversal starting at the position very close to the boundary of the interval, and can not accurately control the initial conducting phase; the second method is a switched reluctance motor position estimation method based on the combination of double current threshold inductance partition and pulse injection, the method is only suitable for single-beat operation control, the current threshold needs to be measured offline manually, the same experiment steps are needed for motors of different models, a large amount of time is consumed, meanwhile, the turn-on angle and the turn-off angle of a conducting phase are not adjustable, and the pulse injection angle is fixed, so that redundant power device loss is caused.
Disclosure of Invention
The invention aims to solve the technical problem of overcoming the defects of the traditional initial positioning method without a position sensor, and the accurate rotor position is calculated by applying the automatic identification initial positioning method based on the new inductance partition and the threshold value according to the inductance characteristic of the switched reluctance motor, and then the initial starting phase is determined.
The technical scheme adopted by the invention is as follows:
a novel position-sensorless initial positioning method for a switched reluctance motor comprises the steps of firstly predicting a feedback current peak value at a position of an intersection point of 2 phase inductors through a threshold automatic identification strategy, obtaining current threshold values at two special positions according to high linearization of an inductor in a rotor inductance rising area of the switched reluctance motor, and then carrying out sector judgment and high-precision initial position estimation by comparing the size relationship between the feedback current peak value detected by pulse injection and the corrected current threshold value.
Compared with the common pulse injection inductance partition initial positioning method, the method provided by the invention converts the sector judgment basis from the traditional comparison of the magnitude relation of three-phase response current peak values into the comparison of the magnitude relation of two-phase response current peak values and current threshold values, has high positioning precision, can accurately control the initial conducting phase and can realize the non-reversal starting of the motor; compared with a double-current-threshold starting method, the method provided by the invention has the advantages that the current threshold is obtained through an automatic measurement program, the phenomenon that a large amount of time is consumed by artificial measurement is avoided, the voltage correction is carried out on the threshold, the influence of voltage fluctuation is effectively overcome, the opening and closing angles of a conducting phase are adjustable during low-speed operation, single-beat and double-beat operation can be realized, and the operation state of a motor is optimized.
A novel position-sensor-free initial positioning method of a switched reluctance motor comprises the following steps:
the first step is as follows: automatic threshold identification
When the pulse is injected, the voltage balance equation of the injected phase winding is as follows:
Figure BDA0002931523920000031
wherein U represents the injected phase winding voltage; i represents the winding response current; r is the resistance of a phase winding; ω is the angular velocity of the rotor; l is the inductance of a phase winding; theta is a rotor position angle; t is the pulse injection time.
When the switching frequency is high, the duty ratio is small, and the winding current is small, the nonlinear effects of back electromotive force, winding voltage drop and magnetic saturation can be ignored, and the equation can be simplified as follows:
Figure BDA0002931523920000032
in the formula ipIn response to the current peak, Δ t is the time of the pulse injection within one cycle.
The automatic threshold identification process needs to be carried out under the rated bus voltage, the automatic threshold identification is realized by adopting an automatic measurement strategy, and the steps are as follows:
1.1 electrifying the phase A, attracting the rotor to the position where the phases A are aligned, stopping electrifying, keeping the position still, carrying out pulse injection on the B, C phase, and recording the average value of the B, C phase response current peak value acquired at the position;
1.2 electrifying A, B when the current is the same, attracting the rotor to the position where the phases C are not aligned, stopping electrifying, keeping the position still, carrying out pulse injection on the phase A, B, and recording the average value of the peak value of the A, B phase response current acquired at the position;
1.3, judging whether the current is the last attraction sequence value, if so, executing 1.4, otherwise, returning to 1.1;
1.4 summing the other two-phase pulse injection detection values when only one phase is attracted, and averaging to obtain I1Summing the two-phase pulse injection detection values when two-phase attraction exists simultaneously, and averaging to obtain I2
When determining the attraction sequence, considering the influence possibly brought by the eccentricity of the rotating shaft of the motor, the attraction detection is carried out in one mechanical period, and the length of the attraction sequence is 2mNr,NrThe number of poles of the rotor is, m is the number of phases, the attraction sequence is A, AB, B, BC, C, CA, A, AB, B, BC, C, CA and A.
When the voltage, the frequency and the duty ratio of pulse injection are not changed, a calculation formula of the intersection point value of the two-phase inductors can be obtained by combining the peak value of the response current at the intersection point position of the two-phase inductors:
Figure BDA0002931523920000041
in the formula of UNAt is the nominal voltage value, Δ t is the pulse injection time.
As shown in fig. 1, in the switched reluctance motor, inductance changes almost linearly with position from a position where a rotor pole and a stator pole just start to overlap to a position where the rotor pole and the stator pole completely overlap, and according to this characteristic, I is represented by1、I2Obtaining a current threshold IH、ILThe calculation formula is as follows:
Figure BDA0002931523920000042
from L1、L2Obtaining the inductance L3、L4The calculation formula is as follows:
Figure BDA0002931523920000051
the second step is that: pulse injection feedback current peak detection
In order to keep the motor rotating shaft still during initial positioning, voltage pulse injection with fixed duty ratio is simultaneously carried out on the three-phase winding through a three-phase power device, and the fixed duty ratio can ensure that the total torque is smaller than the motor resistance torque; in order to accurately detect the peak value of the feedback current, at the moment when the three-phase power device is switched from on to off, the controller collects current signals of the current sensor at the moment as the peak value of the feedback current, and the peak values of the feedback current of the three-phase winding are respectively obtained. Because the peak value of the feedback current is very small, the feedback current is usually amplified by a hardware amplifying circuit and then sampled.
The third step: judging the area of the position
As shown in fig. 1, according to the new inductance partition principle, one electric cycle of the three-phase switched reluctance motor is equally divided into 6 sectors, each sector being 60 °, wherein the maximum and minimum inductance regions are respectively used as one sector, in each sector there is one phase inductance as the rising region, one phase inductance as the falling region, and the other phase inductance is either in the maximum region or in the minimum region. Because the threshold value of automatic identification is measured under the rated voltage, the bus voltage and the rated voltage may be different under the working environment, so when the actual motor is started, the threshold value needs to be standardized according to the actual voltage, and the correction formula is as follows:
Figure BDA0002931523920000052
in the formula of UNFor a nominal bus voltage value, UactualIs the actual bus voltage value.
And then comparing the feedback current peak value with the corrected current threshold value, and judging the sector where the rotor position is located according to the magnitude relation of the feedback current peak value and the corrected current threshold value. The magnitude relationship of the three-phase inductance and the magnitude relationship of the feedback current peak in each sector are different, as shown in fig. 1. The sector in which the rotor position is located can be determined from the current peak and current threshold relationships shown in table 1.
TABLE 1 relationship of feedback current peak and current threshold with rotor position area
Figure BDA0002931523920000061
In table ia、ib、icA, B, C peak values of response currents of the three-phase windings to the injection pulse respectively; tau isrIndicating the mechanical angle for one rotor pole.
The fourth step: accurate calculation of rotor position
As shown in fig. 2, the symmetry of three-phase inductance and high linearity of corresponding intervals of the switched reluctance motor are utilized and the principle of similar triangle is combined to perform accurate rotor positioning.
When the voltage, the frequency and the duty ratio of pulse injection are not changed, the peak value of the feedback current is in inverse proportion to the phase inductance, so that the function graph of the reciprocal of the peak value of the feedback current and the position is the same as the function graph of the phase inductance and the position.
And (3) calculating the reciprocal of the feedback current peak value obtained by sampling to calculate the inductance, comparing the sector information obtained by the third step with the corresponding two-phase response current to judge the sector where the rotor is located, wherein the accurate rotor position calculation formula is shown in table 2.
TABLE 2 exact rotor position calculation formula for different sectors
Figure BDA0002931523920000071
The method comprises the steps of measuring the peak value of feedback current at the intersection point position of 2 phase inductors in advance, calculating the inductance value at the intersection point position of the 2 phase inductors according to the pulse injection method principle, obtaining the inductance values at the other two positions according to the high linearization of the rotor inductance rising area of the switched reluctance motor, and further carrying out accurate initial positioning on the initial position of the rotor, so that the conduction phase is accurately controlled to be conducted according to the conduction angle of the conduction phase.
The invention has the following obvious effects:
1. the initial position of the rotor is positioned with high precision, the initial conducting phase is accurately controlled, the starting without reverse rotation is realized, and the control precision is improved.
2. According to the initial positioning position of the rotor, the initial on-off control can be directly carried out according to the on-off angle of each phase, and the control flexibility is improved.
3. The automatic identification of the threshold is completed through the programmed automatic measurement program, so that the problem that a large amount of time is consumed by artificial measurement is avoided, the practicability and universality of the method are improved, the threshold is subjected to standardized processing, the influence of voltage fluctuation on accurate initial positioning is overcome to a certain extent, and the reliability of the method is improved.
Drawings
Fig. 1 is a graph of phase inductance as a function of position for a three-phase switched reluctance machine.
Fig. 2 is a schematic diagram of precise initial positioning.
Fig. 3 is a schematic diagram of a novel switched reluctance motor position sensorless initial positioning strategy.
FIG. 4 is a diagram comparing the calculated position and the actual position of the initial positioning
FIG. 5 is a diagram of the error between the calculated position and the actual position of the initial positioning.
Detailed Description
In order that the present invention may be more readily and clearly understood, a more particular description of the invention briefly described above will be rendered by reference to specific embodiments that are illustrated in the appended drawings.
Example 1: an 12/8-pole, 2200r/min and 4.5kW switched reluctance motor is used as a model machine, the rated voltage is 60V, the pulse frequency of injected voltage is 10kHz, and the duty ratio is 1/9. The current sensor adopts a 50A/5V closed-loop Hall current sensor, and the output of the current sensor is amplified by 5.7 times through an operational amplifier and then is connected to an AD conversion pin of the microcontroller.
The specific implementation schematic diagram of the invention is shown in fig. 3, for different switched reluctance motors, firstly, an automatic measurement program is operated under a rated bus voltage, voltage pulse injection with a fixed duty ratio is carried out on a three-phase winding through a power converter according to a parameter automatic identification strategy, a controller collects current signals of a current sensor as feedback current peak values, response current peak values at the intersection point positions of phase inductors are obtained, and the response current peak values are used for calculating current threshold values and inductance threshold values. Obtaining model machine parameters (current values are digital values displayed by a microcontroller) through an automatic measurement program, I1Is 1154.14569, I2486.14638, the intersection value L of the corresponding BC phase inductances obtained from the formula (3)18.31394, AB phase inductance intersection value L220.56929, the high current threshold I is obtained by the formula (4)H820.14604, low current threshold IL152.14673, the inductance L at the point E is obtained from the formula (5)314.44182, point D inductance value L4Is 26.69736.
After a motor starting signal is sent out, firstly, a threshold value is calibrated according to a real-time voltage signal, then, pulse voltage injection is carried out on a three-phase winding of the motor at the same time, an amplified feedback current peak value is detected, sampling is continuously carried out for 50 times, an average value is obtained, a sector where the position of the rotor is located is determined according to the size relation between the three-phase feedback current peak value and the calibrated current threshold value, a corresponding phase is selected according to the size relation between the located sector and the two-phase current of the corresponding sector for accurate initial positioning, the inverse feeding current peak value is subjected to reciprocal calculation of an inductance value, and the position of the rotor is accurately and initially positioned according to the similar triangle principle and the known inductance values.
For even number of sectors, taking sector II as an example, as shown in FIG. 2, point E is the middle point of the intersection point of the AB phase and BC phase inductors, point D is the symmetrical point of point E about the intersection point of the AB phase inductors, point F is the intersection point of the right boundary of sector II and phase A, point DEF forms a right triangle, and DF is the inductance L4And L3The difference between the two phases, EF is 1/6 of an inductance period angle, and the inductance value corresponding to the position of G point is determined as the inductance value of B phase at the moment of detection according to the proportional relation of similar triangles
Figure BDA0002931523920000091
The size of GH can be obtained, the position difference represented by GH is subtracted from the position of the rotor corresponding to the point D to obtain the accurate value of the current position, and the calculation method of the rotor positions of other even sectors is the same as that of the method.
For odd sectors, taking sector III as an example, as shown in FIG. 2, point 0 is the intersection of the AC phase inductances, point FON and point MOP form a right triangle, and FN and MP are both inductances L3And L1The difference, ON and OP are equal to 1/12 of an inductance period angle, when the peak value of the A phase response current is less than or equal to the C phase, the inductance value corresponding to the J point position of the A phase inductance is selected and detected, and the inductance value is obtained according to the proportional relation of similar triangles
Figure BDA0002931523920000101
The size of IJ can be solved, and the position difference represented by IJ is added to the position of the rotor corresponding to the point F to obtain the accurate value of the current position; when the peak value of the A-phase response current is larger than that of the C-phase response current, the inductance value corresponding to the position of the K point of the C-phase inductance is selected and detected, and the C-phase inductance is proportional to the similar triangle
Figure BDA0002931523920000102
The KL can be obtained and reusedAnd subtracting the position difference represented by KL from the rotor position corresponding to the M point to obtain the accurate value of the current position, wherein the calculation method of the rotor positions of other odd sectors is the same as the method.
In order to detect the position calculation accuracy of the initial positioning, a position dial is attached to the motor, the actual position is set to the position angle indicated by the dial, the mechanical angle is measured at intervals of 1 °, the obtained position comparison diagram is shown in fig. 4, and the initial positioning position error diagram is shown in fig. 5. Within one mechanical cycle, the average position detection error is 0.4089 ° mechanical angle, and the maximum position detection error is 1.1016 ° mechanical angle.
The novel initial positioning method of the switched reluctance motor without the position sensor is simple and effective, can perform high-precision positioning on the initial rotor position, accurately controls the initial conducting phase and realizes non-reversal starting; by high-precision initial positioning, initial on-off control can be directly carried out according to the on-off angle of each phase, so that the control flexibility is improved; meanwhile, a threshold automatic identification strategy is adopted, the problem that a large amount of time is consumed by artificial measurement is avoided, voltage correction is carried out on a current threshold, the influence of voltage fluctuation on initial positioning is effectively overcome, the method can be applied to different switched reluctance motors, the reliability is higher, and the practicability and the universality are higher.

Claims (1)

1. A novel position-sensor-free initial positioning method of a switched reluctance motor is characterized by comprising the following steps:
the first step is as follows: automatic threshold identification
When the pulse is injected, the voltage balance equation of the injected phase winding is as follows:
Figure FDA0002931523910000011
wherein U represents the injected phase winding voltage; i represents the winding response current; r is the resistance of a phase winding; ω is the angular velocity of the rotor; l is the inductance of a phase winding; theta is a rotor position angle; t is the pulse injection time;
when the switching frequency is high, the duty ratio is small, the winding current is small, the nonlinear influence of back electromotive force, winding voltage drop and magnetic saturation is ignored, and the equation is simplified as follows:
Figure FDA0002931523910000012
in the formula ipIn response to the current peak, Δ t is the time of pulse injection within one cycle;
the automatic threshold identification process needs to be carried out under the rated bus voltage, the automatic threshold identification is realized by adopting an automatic measurement strategy, and the steps are as follows:
1.1 electrifying the phase A, attracting the rotor to the position where the phases A are aligned, stopping electrifying, keeping the position still, carrying out pulse injection on the B, C phase, and recording the average value of the B, C phase response current peak value acquired at the position;
1.2 electrifying A, B when the current is the same, attracting the rotor to the position where the phases C are not aligned, stopping electrifying, keeping the position still, carrying out pulse injection on the phase A, B, and recording the average value of the peak value of the A, B phase response current acquired at the position;
1.3, judging whether the current is the last attraction sequence value, if so, executing 1.4, otherwise, returning to 1.1;
1.4 summing the other two-phase pulse injection detection values when only one phase is attracted, and averaging to obtain I1Summing the two-phase pulse injection detection values when two-phase attraction exists simultaneously, and averaging to obtain I2
When determining the attraction sequence, carrying out attraction detection on one mechanical period, wherein the length of the attraction sequence is 2mNr,NrThe number of poles of the rotor is, m is the number of phases, the attraction sequence is A, AB, B, BC, C, CA, A, AB, B, BC, C, CA and A.the. is applied for 48 times, and the motor just rotates for a circle after attraction is finished;
when the voltage, the frequency and the duty ratio of pulse injection are not changed, a calculation formula of the intersection point value of the two-phase inductors is obtained by combining the peak value of the response current at the intersection point position of the two-phase inductors:
Figure FDA0002931523910000021
in the formula of UNThe value is a rated voltage value, and delta t is pulse injection time;
in the switched reluctance motor, inductance varies linearly with position from a position where a rotor pole and a stator pole just start to overlap to a position where the rotor pole and the stator pole completely overlap, and according to this characteristic, I is1、I2Obtaining a current threshold IH、ILThe calculation formula is as follows:
Figure FDA0002931523910000022
from L1、L2Obtaining the inductance L3、L4The calculation formula is as follows:
Figure FDA0002931523910000023
the second step is that: pulse injection feedback current peak detection
Voltage pulse injection with fixed duty ratio is carried out on the three-phase winding through a three-phase power device, and the fixed duty ratio can ensure that the total torque is smaller than the resistance torque of the motor; at the moment when the three-phase power device is switched from on to off, the controller collects current signals of the current sensor at the moment as feedback current peak values to respectively obtain the feedback current peak values of the three-phase winding;
the third step: judging the area of the position
According to a new inductance partition principle, equally dividing one electric cycle of the three-phase switched reluctance motor into 6 sectors, wherein each sector is 60 degrees, the maximum and minimum areas of the inductance are respectively used as one sector, one phase of inductance in each sector is used as a rising area, one phase of inductance is used as a falling area, and the other phase of inductance is in the maximum area or the minimum area; when the actual motor starts, the threshold value needs to be standardized according to the actual voltage, and the correction formula is as follows:
Figure FDA0002931523910000031
in the formula of UNFor a nominal bus voltage value, UactualIs the actual bus voltage value;
then comparing the feedback current peak value with the corrected current threshold value, and further judging the sector where the rotor position is located; the magnitude relation of the three-phase inductance and the magnitude relation of the feedback current peak value in each sector are different; the sector where the rotor position is located can be determined by the current peak value and current threshold value relation shown in table 1;
TABLE 1 relationship of feedback current peak and current threshold with rotor position area
Figure FDA0002931523910000032
In table ia、ib、icA, B, C peak values of response currents of the three-phase windings to the injection pulse respectively; tau isrRepresenting the mechanical angle corresponding to one rotor pole;
the fourth step: accurate calculation of rotor position
The symmetry of three-phase inductance of the switched reluctance motor and the high linearization of corresponding intervals are utilized, and the principle of similar triangle is combined to carry out accurate rotor positioning;
when the voltage, the frequency and the duty ratio of pulse injection are not changed, the feedback current peak value and the phase inductance are in inverse proportion, so that the function graph of the reciprocal of the feedback current peak value and the position is the same as the function graph of the phase inductance and the position;
calculating the reciprocal of the feedback current peak value obtained by sampling to calculate the inductance, comparing the sector information obtained by the third step with the corresponding two-phase response current to judge the sector where the rotor is located, wherein the accurate rotor position calculation formula is shown in table 2;
TABLE 2 exact rotor position calculation formula for different sectors
Figure FDA0002931523910000041
The method comprises the steps of measuring a feedback current peak value at the intersection point position of 2 phase inductors in advance, calculating inductance values at the intersection point positions of the 2 phase inductors according to a pulse injection method principle, obtaining inductance values at the other two positions according to high linearization of a rotor inductance rising area of the switched reluctance motor, and further carrying out accurate initial positioning on the initial position of the rotor, so that the conduction phase is accurately controlled to be conducted according to the conduction angle of the conduction phase.
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CN113676107B (en) * 2021-08-24 2023-06-20 山东交通学院 Origin calibration method and system for rotor position detection device of switched reluctance motor
CN114268260A (en) * 2022-03-02 2022-04-01 浙江大学 Motor parameter identification method and device
CN114268260B (en) * 2022-03-02 2022-07-19 浙江大学 Motor parameter identification method and device
CN116345957A (en) * 2023-01-05 2023-06-27 上海耀杉电子科技有限公司 Compressor controller voltage sectional starting method and system thereof
CN116345957B (en) * 2023-01-05 2023-12-08 上海耀杉电子科技有限公司 Compressor controller voltage sectional starting method and system thereof

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