CN113179058A - Stepper motor current harmonic suppression method based on harmonic current injection method - Google Patents
Stepper motor current harmonic suppression method based on harmonic current injection method Download PDFInfo
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- 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
- H02P8/00—Arrangements for controlling dynamo-electric motors rotating step by step
- H02P8/12—Control or stabilisation of current
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- 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
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
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Abstract
The invention provides a method for suppressing current harmonics of a stepping motor based on a harmonic current injection method, which specifically comprises the following steps: setting a reference current, and solving a current difference value of the reference current and the phase current; transforming the current difference into a dq rotation coordinate system; phase current of the motor is converted to a-3 theta coordinate system, and third harmonic current component is obtained through first-order low-pass filtering; regulating the output of the PI controller to be zero through the PI controller to obtain the output of the PI controller, and obtaining harmonic compensation voltage through a harmonic suppression module; adding the harmonic compensation voltage into a current loop to obtain d-axis voltage and q-axis voltage, calculating control voltage, and converting the control voltage into a static coordinate system to obtain phase voltage; the phase voltage is subjected to SPWM modulation, passes through an inverter and is output to a motor. The invention applies the harmonic current injection method to the two-phase hybrid stepping motor to solve the harmonic current component generated in the operation of the two-phase hybrid stepping motor, and has less required modules and low computation amount.
Description
Technical Field
The invention particularly relates to a stepping motor current harmonic suppression method based on a harmonic current injection method.
Background
During the operation of the motor, the smoothness of output torque is reduced due to current harmonics, the system performance is negatively affected, and the loss of a stator winding and an iron core is increased.
In the prior art:
prior art 1: wangxing, bauxu, & ratten. (2020). a five-phase hybrid stepper motor space vector pulse width modulation optimization control strategy capable of suppressing the third harmonic, Nanjing university of aerospace, 052(002), 181-.
The prior art 1 proposes a method: in the five-phase hybrid stepping motor, the purpose of inhibiting the third harmonic is achieved by enabling the voltage space vector synthesized in the third harmonic coordinate system to be 0, so that the torque pulsation of the motor is small, and the motor runs more stably.
Prior art 2: liao Yoghao, Yanshuai, Liu Sha, Yao Jun, (2011) harmonic injection is used for restraining torque ripple of permanent magnet synchronous motor.
The prior art 2 proposes a method: harmonic voltage is obtained through extracting fifth and seventh harmonic currents and passing through a harmonic current loop and is injected into the voltage, so that harmonic components in the operation of the motor are suppressed, and torque pulsation of the motor is suppressed.
However, the method in the prior art 1 is suitable for a five-phase hybrid stepping motor, but not suitable for a two-phase hybrid stepping motor, and the method in the prior art 2 has many modules, a large amount of calculation and a complex algorithm.
Therefore, a method for suppressing the current harmonic of the stepping motor based on the harmonic current injection method is needed, and the problems that the harmonic current injection method is not suitable for a two-phase hybrid stepping motor and the harmonic current injection method in the prior art has more modules, large calculation amount and complex algorithm are solved.
Disclosure of Invention
The invention provides a stepping motor current harmonic suppression method based on a harmonic current injection method, which is applied to a two-phase hybrid stepping motor to solve harmonic current components generated in the operation of the two-phase hybrid stepping motor, and has the advantages of less required modules and low calculation amount. Thereby making up for the deficiencies in the prior art.
A stepping motor current harmonic suppression method based on a harmonic current injection method specifically comprises the following steps:
step 1, setting a reference current of a motor, and solving a current difference value of the reference current and a phase current; then transforming the current difference value from a static coordinate system into a dq rotation coordinate system;
step 2, phase current of the motor is converted to a-3 theta coordinate system, and third harmonic current components are obtained through first-order low-pass filtering;
step 3, adjusting the control error of the third harmonic current component to zero through a PI controller to obtain the output of the PI controller, and then passing the output of the PI controller through a harmonic suppression module to obtain harmonic compensation voltage;
step 4, adding the harmonic compensation voltage into a current loop to obtain d-axis voltage and q-axis voltage, then calculating control voltage on the basis, and converting the control voltage into a static coordinate system to obtain phase voltage of an A phase and a B phase of the motor;
and 5, modulating the phase voltages of the A phase and the B phase of the motor by SPWM, and outputting the phase voltages to the motor through an inverter.
By converting phase current Ia and Ib of two-phase hybrid stepping motor toUnder the rotating coordinate system, a direct current component is extracted through a first-order low-pass filter, and then the direct current component passes through a PI controller, so that the control error is zero. Therefore, the output of the PI controller obtains the third current harmonic voltage compensation through the harmonic suppression moduleAndand by transforming the harmonic wave to a-3 theta rotation coordinate system, the extraction of the third harmonic wave can be simple and easy without changing along with the change of the current frequency. In addition, the current difference value under the static coordinate system is obtained by firstly making a difference between the reference current and the phase current, and the current difference value is converted into the rotating coordinate system through park to carry out PI control. By adopting the method, harmonic wave is ensuredThe accuracy of voltage injection is compensated, the dynamic response characteristic of current is improved, and the speed and the accuracy of control are improved.
Further, step 1 includes the following steps:
step 1.1, the reference current is distributed to the currents of the two phases A and B as follows:
wherein the content of the first and second substances,andrespectively a reference current of phase a and a reference current of phase B,and theta is the amplitude of the reference current and is a given angle of the motor.
Further, step 1 includes the following steps:
step 1.2, respectively making difference on reference current and phase current of the phase A and the phase B:
wherein the content of the first and second substances,andthe difference values of the reference current and the motor phase current in the phase A and the phase B are respectively, and Ia and Ib are respectively the phase currents of the phase A and the phase B of the motor.
Further, step 1 includes the following steps:
step 1.3, the current difference obtained in the step 1.2 is comparedAndconversion to dq rotation coordinate system by park transformation:
wherein the content of the first and second substances,andthe components of the current difference on the d-axis and q-axis, respectively, and theta is the motor given angle.
Further, step 2 includes the following steps:
step 2.1, phase current of the motor is converted into a-3 theta coordinate system in a park transformation mode:
wherein the content of the first and second substances,andfor phase current after park conversionAndtheta is a given angle of the motor;
step 2.2, thenAndobtaining phase current through a first-order low-pass filterAndthird harmonic current component in-3 theta coordinate systemAnd。
after park conversion, the third harmonic component in the phase current becomes a direct current component in the-3 θ coordinate system, and therefore the third harmonic component can be extracted by the first-order low-pass filter.
Further, in step 3, the third harmonic current component in step 2 is regulated by a PI controller:
in the formulas (7) and (8):
wherein the content of the first and second substances,andthe third harmonic currents for a given d-axis and q-axis, respectively.
Further, in step 3:
the above-mentionedAndthe formula for obtaining the harmonic compensation voltage through the harmonic suppression module is as follows:
Further, step 4 includes the following steps:
step 4.1, calculating the control voltage according to the formula:
wherein the content of the first and second substances,andd-axis control voltage and q-axis control voltage under a dq rotation coordinate system respectively;
and 4.2, converting the d-axis control voltage and the q-axis control voltage into phase voltages of an A phase and a B phase of the motor under a static coordinate system through inverse park transformation, wherein the formula is as follows:
wherein the content of the first and second substances,andphase voltages of A phase and B phase are respectively, and theta is a given angle of the motor.
The invention has the following beneficial effects:
1. the invention applies a harmonic current injection method to a two-phase hybrid stepping motor to solve harmonic current components generated in the operation of the two-phase hybrid stepping motor.
2. The invention realizes simple extraction of the third harmonic wave without changing along with the change of the current frequency.
3. The invention simplifies the calculation process and reduces the operation time of the MCU.
4. The invention ensures the accuracy of harmonic compensation voltage injection, improves the dynamic response characteristic of current, and improves the speed and accuracy of control.
Drawings
Fig. 1 is a schematic development diagram of a step motor current harmonic suppression method based on a harmonic current injection method according to the present invention.
Detailed Description
It should be apparent that the embodiments described below are some, but not all embodiments of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
In the description of the present invention, it should be noted that the terms "center", "upper", "lower", "left", "right", "vertical", "horizontal", "inner", "outer", etc., indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are only for convenience of description and simplicity of description, but do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and thus, should not be construed as limiting the present invention. Furthermore, the terms "first," "second," and "third" are used for descriptive purposes only and are not to be construed as indicating or implying relative importance. In the description of the present invention, it is to be noted that the terms "mounted," "connected," and "connected" are to be construed broadly unless otherwise specifically indicated and limited.
In addition, the technical features involved in the different embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
Example 1
As shown in fig. 1, the present embodiment provides a method for suppressing a current harmonic of a stepping motor based on a harmonic current injection method, which specifically includes the following steps:
step 1, setting a reference current of a motor, and solving a current difference value of the reference current and a phase current; then transforming the current difference value from a static coordinate system into a dq rotation coordinate system;
step 2, phase current of the motor is converted to a-3 theta coordinate system, and third harmonic current components are obtained through first-order low-pass filtering;
step 3, adjusting the control error of the third harmonic current component to zero through a PI controller to obtain the output of the PI controller, and then passing the output of the PI controller through a harmonic suppression module to obtain harmonic compensation voltage;
step 4, adding the harmonic compensation voltage into a current loop to obtain d-axis voltage and q-axis voltage, then calculating control voltage on the basis, and converting the control voltage into a static coordinate system to obtain phase voltage of an A phase and a B phase of the motor;
and 5, modulating the phase voltages of the A phase and the B phase of the motor by SPWM, and outputting the phase voltages to the motor through an inverter.
Phase current Ia and phase current Ib of the two-phase hybrid stepping motor are converted to a-3 theta rotating coordinate system, a direct current component is extracted through a first-order low-pass filter, and then the direct current component passes through a PI controller to enable the control error to be zero. Therefore, the output of the PI controller obtains the third current harmonic voltage compensation through the harmonic suppression moduleAndand by transforming the harmonic wave to a-3 theta rotation coordinate system, the extraction of the third harmonic wave can be simple and easy without changing along with the change of the current frequency. In addition, the current difference value under the static coordinate system is obtained by firstly making a difference between the reference current and the phase current, and the current difference value is converted into the rotating coordinate system through park to carry out PI control. By adopting the method, the accuracy of harmonic compensation voltage injection is ensured, and the current is improvedAnd the dynamic response characteristic improves the speed and accuracy of control.
In the step 1, the method comprises the following steps:
step 1.1, the reference current is distributed to the currents of the two phases A and B as follows:
wherein the content of the first and second substances,andrespectively a reference current of phase a and a reference current of phase B,and theta is the amplitude of the reference current and is a given angle of the motor.
In the step 1, the method also comprises the following steps:
step 1.2, respectively making difference on reference current and phase current of the phase A and the phase B:
wherein the content of the first and second substances,andreference current and motor in A phase and B phase respectivelyThe phase current difference values, Ia and Ib, are the phase currents of the A phase and the B phase of the motor respectively.
In the step 1, the method also comprises the following steps:
step 1.3, the current difference obtained in the step 1.2 is comparedAndconversion to dq rotation coordinate system by park transformation:
wherein the content of the first and second substances,andthe components of the current difference on the d-axis and q-axis, respectively, and theta is the motor given angle.
In the step 2, the method comprises the following steps:
step 2.1, phase current of the motor is converted into a-3 theta coordinate system in a park transformation mode:
wherein the content of the first and second substances,andfor phase current after park conversionAndtheta is a given angle of the motor;
step 2.2, thenAndobtaining phase current through a first-order low-pass filterAndthird harmonic current component in-3 theta coordinate systemAnd。
after park conversion, the third harmonic component in the phase current becomes a direct current component in the-3 θ coordinate system, and therefore the third harmonic component can be extracted by the first-order low-pass filter.
In step 3, the third harmonic current component in step 2 is regulated by a PI controller:
in the formulas (7) and (8):
wherein the content of the first and second substances,andthe third harmonic currents for a given d-axis and q-axis, respectively.
In the step 3:
the above-mentionedAndthe formula for obtaining the harmonic compensation voltage through the harmonic suppression module is as follows:
In the step 4, the method comprises the following steps:
step 4.1, calculating the control voltage according to the formula:
wherein the content of the first and second substances,andd-axis control voltage and q-axis control voltage under a dq rotation coordinate system respectively;
and 4.2, converting the d-axis control voltage and the q-axis control voltage into phase voltages of an A phase and a B phase of the motor under a static coordinate system through inverse park transformation, wherein the formula is as follows:
wherein the content of the first and second substances,andphase voltages of A phase and B phase are respectively, and theta is a given angle of the motor.
The invention has the following beneficial effects:
1. the invention applies a harmonic current injection method to a two-phase hybrid stepping motor to solve harmonic current components generated in the operation of the two-phase hybrid stepping motor.
2. The invention realizes simple extraction of the third harmonic wave without changing along with the change of the current frequency.
3. The invention simplifies the calculation process and reduces the operation time of the MCU.
4. The invention ensures the accuracy of harmonic compensation voltage injection, improves the dynamic response characteristic of current, and improves the speed and accuracy of control.
It should be understood that the above examples are only for clarity of illustration and are not intended to limit the embodiments. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. And obvious variations or modifications therefrom are within the scope of the invention.
Claims (8)
1. A stepping motor current harmonic suppression method based on a harmonic current injection method is characterized by comprising the following steps:
step 1, setting a reference current of a motor, and solving a current difference value of the reference current and a phase current; then transforming the current difference value from a static coordinate system into a dq rotation coordinate system;
step 2, phase current of the motor is converted to a-3 theta coordinate system, and third harmonic current components are obtained through first-order low-pass filtering;
step 3, adjusting the control error of the third harmonic current component to zero through a PI controller to obtain the output of the PI controller, and then passing the output of the PI controller through a harmonic suppression module to obtain harmonic compensation voltage;
step 4, adding the harmonic compensation voltage into a current loop to obtain d-axis voltage and q-axis voltage, then calculating control voltage on the basis, and converting the control voltage into a static coordinate system to obtain phase voltage of an A phase and a B phase of the motor;
and 5, modulating the phase voltages of the A phase and the B phase of the motor by SPWM, and outputting the phase voltages to the motor through an inverter.
2. The method for suppressing the current harmonic wave of the stepping motor based on the harmonic wave current injection method as claimed in claim 1, wherein the step 1 comprises the following steps:
step 1.1, the reference current is distributed to the currents of the two phases A and B as follows:
3. The method for suppressing the current harmonics of the stepping motor based on the harmonic current injection method as claimed in claim 2, wherein the step 1 further comprises the steps of:
step 1.2, respectively making difference on reference current and phase current of the phase A and the phase B:
4. The method for suppressing the current harmonics of the stepping motor based on the harmonic current injection method as claimed in claim 3, wherein the step 1 further comprises the steps of:
step 1.3, the current difference obtained in the step 1.2 is comparedAndconversion to dq rotation coordinate system by park transformation:
5. The method for suppressing the current harmonics of the stepping motor based on the harmonic current injection method as claimed in claim 1, wherein the step 2 comprises the steps of:
step 2.1, phase current of the motor is converted into a-3 theta coordinate system in a park transformation mode:
wherein the content of the first and second substances,andfor phase current after park conversionAndtheta is a given angle of the motor;
6. the method for suppressing the current harmonic of the stepping motor based on the harmonic current injection method as claimed in claim 1, wherein in step 3, the third harmonic current component in step 2 is adjusted by a PI controller:
in the formulas (7) and (8):
7. The method for suppressing the current harmonics of the stepping motor based on the harmonic current injection method as claimed in claim 6, wherein in step 3:
the above-mentionedAndthe formula for obtaining the harmonic compensation voltage through the harmonic suppression module is as follows:
8. The method for suppressing the current harmonics of the stepping motor based on the harmonic current injection method as claimed in claim 1, wherein the step 4 comprises the steps of:
step 4.1, calculating the control voltage according to the formula:
wherein the content of the first and second substances,andd-axis control voltage and q-axis control voltage under a dq rotation coordinate system respectively;
and 4.2, converting the d-axis control voltage and the q-axis control voltage into phase voltages of an A phase and a B phase of the motor under a static coordinate system through inverse park transformation, wherein the formula is as follows:
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CN114665776A (en) * | 2022-05-23 | 2022-06-24 | 深圳市杰美康机电有限公司 | Control method and system for dynamic decoupling of closed-loop stepping motor and storage medium |
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CN111987956A (en) * | 2020-08-10 | 2020-11-24 | 沈阳工业大学 | Torque ripple suppression method for direct-drive wind turbine generator |
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CN101043195A (en) * | 2006-03-17 | 2007-09-26 | 日本伺服株式会社 | Stepping motor control apparatus |
CN108448965A (en) * | 2018-03-20 | 2018-08-24 | 浙江理工大学 | The heavily loaded closed loop drive system and method for two-phase hybrid stepping motor |
KR20200112506A (en) * | 2019-03-22 | 2020-10-05 | 엘지전자 주식회사 | Motor control system and method for reducing harmonics of the motor control system |
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