CN112187125A - Method for improving anti-interference capability of speed regulation control of permanent magnet synchronous motor - Google Patents
Method for improving anti-interference capability of speed regulation control of permanent magnet synchronous motor Download PDFInfo
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- H—ELECTRICITY
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- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/05—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation specially adapted for damping motor oscillations, e.g. for reducing hunting
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- H—ELECTRICITY
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Abstract
The invention discloses a method for improving the anti-interference capability of speed regulation control of a permanent magnet synchronous motor, which comprises the following steps: 1) establishing a voltage equation of the permanent magnet synchronous motor under a d-q reference system; 2) establishing PMSM electromagnetic torque T in d-q reference systemeAnd load torque TLAn expression; 3) obtaining a state equation of the PMSM under the dq coordinate system; 4) obtaining a disturbance signal expression; 5) obtaining a rotating speed control loop equation; 6) converting a rotating speed control loop equation into a PMSM standard state equation; 7) establishing a relation between the disturbance signal and an estimation value thereof; 8) obtaining a disturbance signal estimation value expression; 9) providing a rotating speed control expression; 10) obtaining a PMSM interference estimation error equation; 11) setting the output in the PMSM disturbance estimation error equation to be unchanged, introducing the estimation disturbance as a target value into a PMSM current control link, tracking the target value in real time, and playing a role in improvingThe high permanent magnet synchronous motor has the function of anti-interference capability in speed regulation control. The invention can restrain the fluctuation of the rotating speed of the motor caused by the change of the torque.
Description
Technical Field
The invention relates to a method for improving the anti-interference capability of speed regulation control of a permanent magnet synchronous motor, which adopts an Uncertain Disturbance Estimator (UDE) to improve the anti-interference capability of speed regulation control of the permanent magnet synchronous motor.
Background
Permanent Magnet Synchronous Motors (PMSM) have the advantages of high efficiency, high power density, high speed control precision, high response speed and the like, and recently, research in the field of industrial transmission is receiving more and more attention. Compared with induction motor driving, permanent magnet synchronous motor driving control is more mature in application in some fields, and permanent magnet synchronous motor vector control is one of the most widely used speed regulation control methods in driving control application. The method involves the design of three PI controllers, two of which are designed for the electrical system (current loop), called inner loop, and one for the speed cycle of the mechanical system, also called outer loop, and the commonly used speed governing control method is a constant increment control method. In an actual motor speed regulation control system, the change of controller parameters or external interference can act on the system to influence the speed regulation result of the system. If the PI controller is designed to carry out speed regulation control under the condition, the gain of the PI controller needs to be adjusted to obtain the control performance meeting the practical application. However, with the change of the type and degree of the interference, the design of the controller needs to be readjusted, and each adjustment needs a complex flow, so that the traditional PI controller cannot meet the actual engineering requirements.
All motor control systems are affected by uncertain disturbances, which can be classified into external environment disturbances and disturbances caused by changes in internal parameters of the motor control systems. The uncertain interference estimator technology is successfully applied to robust control systems such as unmanned aerial vehicle control, piezoelectric level trajectory tracking control, micro aircraft single-axis balance platform and the like.
Disclosure of Invention
The invention aims to provide a method for improving the anti-interference capability of speed regulation control of a permanent magnet synchronous motor. The method comprises the steps of firstly establishing a mathematical model of the permanent magnet synchronous motor, then researching a speed regulation control method based on uncertain interference estimation, and designing a corresponding controller on the basis.
The invention is realized by adopting the following technical scheme:
a method for improving the anti-interference capability of speed regulation control of a permanent magnet synchronous motor comprises the following steps:
1) establishing a voltage equation of the permanent magnet synchronous motor under a d-q reference system;
2) establishing PMSM electromagnetic torque T in d-q reference systemeAnd load torque TLAn expression;
3) according to a mathematical equation under a PMSM voltage dq coordinate system in the step 1) and PMSM electromagnetic torque T in the step 2)eAnd load torque TLObtaining a state equation of the PMSM under the dq coordinate system by the expression;
4) taking the motor load torque in the PMSM state equation in the step 3) as a state equation disturbance signal to obtain a disturbance signal expression;
5) substituting the disturbance signal expression in the step 4) into the PMSM state equation in the step 3) to obtain PMSM load torque as a state equation disturbance signal, and introducing the state equation of the PMSM in the dq coordinate system in the step 3) to obtain a rotating speed control loop equation;
6) setting a state variable, and converting the rotating speed control loop equation in the step 5) into a PMSM standard state equation;
7) approximating and estimating the continuous signal when the continuous signal passes through a low-pass filter with proper bandwidth, and establishing a relation between the disturbance signal and an estimation value;
8) obtaining a disturbance signal estimation value expression according to the PMSM standard state equation in the step 6) and the relation between the disturbance signal and the estimation value in the step 7);
9) in order to ensure that the effective rotating speed tracking is carried out under the condition that the load torque is unknown, a rotating speed control expression is provided according to the expression of the disturbance signal estimation value in the step 8);
10) substituting the expression of the rotating speed control rate in the step 9) into the PMSM standard state equation in the step 6) to obtain a PMSM interference estimation error equation;
11) in order to adjust the rotation speed of the PMSM, the output in a PMSM interference estimation error equation in the step 10) is set to be unchanged, the estimation disturbance is used as a target value and introduced into a PMSM current control link, the target value is tracked in real time, and the effect of improving the anti-interference capability of speed regulation control of the permanent magnet synchronous motor is achieved.
The further improvement of the invention is that step 1) establishes a voltage equation of the permanent magnet synchronous motor under a d-q reference system:
in the formula: i.e. id、iqRespectively representing direct axis and quadrature axis currents in a d-q reference frame; l isd、LqRespectively representing stator direct axis inductance and quadrature axis inductance; rsRepresenting the stator resistance; lambda [ alpha ]αfShowing a permanent magnet rotor flux linkage; v. ofd、vqRespectively representing voltages applied to a direct axis and a quadrature axis; omegarThe electrical angular velocity at which the motor rotates is indicated.
The further improvement of the invention is that the specific implementation method of the step 2) is as follows: establishing PMSM electromagnetic torque T in d-q reference systemeAnd load torque TLExpression:
in the formula: j represents the inertia torque of the permanent magnet synchronous motor, B represents the friction coefficient, P represents the number of poles, omegamRepresenting the mechanical angular velocity at which the motor rotates, the electrical angular velocity is expressed as:if the torque angle is kept at 90 deg., the direct axis current idBecomes 0, quadrature axis current iqI.e. the stator phasor current, which is also referred to as the torque component of the current; when i isdWhen the value is 0, the PMSM electromagnetic torque is as follows:the magnitude of the electromagnetic torque depends only on the quadrature axis current iqMagnitude, when direct axis current idWhen 0, the value is maximum.
The further improvement of the invention is that the specific implementation method of the step 3) is as follows: according to a mathematical equation under a PMSM voltage dq coordinate system in the step 1) and PMSM electromagnetic torque T in the step 2)eAnd load torque TLExpression of usingq vd]TIndicating input by [ i ]qid ωr]TAnd expressing system variables to obtain a state equation of the PMSM under the dq coordinate system:
the further improvement of the invention is that the specific implementation method of the step 4) is as follows: taking the motor load torque in the PMSM state equation in the step 3) as a state equation disturbance signal to obtain a disturbance signal expression:
the specific implementation method of the step 5) is as follows: substituting the disturbance signal expression in the step 4) into the PMSM state equation in the step 3) to obtain PMSM load torque as a state equation disturbance signal, introducing the state equation of the PMSM in the dq coordinate system in the step 3) to obtain a rotating speed control loop equation:
the further improvement of the invention is that the specific implementation method of the step 6) is as follows: setting a state variable: x is ωr,u=iqConverting the rotating speed control loop equation in the step 5) into a PMSM standard state equation: a1and b0The size is determined by the dynamic characteristics of the control object; the essence of the PMSM anti-disturbance system is to design the input u such that the motor tracks or adjusts the reference speed trajectory to the same desired value.
The further improvement of the invention is that the specific implementation method of the step 7) is as follows: approximating and estimating the continuous signal as it passes through a low pass filter of appropriate bandwidth; establishing a relation between the disturbance signal and an estimated value thereof:in the formula:is an estimate of interference d;denoted by τ is the bandwidth of the filter.
The further improvement of the invention is that the specific implementation method of the step 8) is as follows: obtaining a disturbance signal estimation value expression according to the PMSM standard state equation in the step 6) and the relation between the disturbance signal and the estimation value in the step 7):
the further improvement of the invention is that the specific implementation method of the step 9) is as follows: in order to ensure that the rotating speed tracking is effectively carried out under the condition that the load torque is unknown, according to the expression of the disturbance signal estimation value in the step 8), a rotating speed control expression is provided:
in the formula: x is the number of*For the feedback value of the state variable, K is the error feedback gain, and since it is usually necessary to ensure that the reference model remains stable, K needs to be made>0。
The further improvement of the invention is that the specific implementation method of the step 10) is as follows: substituting the expression of the rotating speed control rate in the step 9) into the PMSM standard state equation in the step 6) to obtain PMSM interference estimation error equation:let e be x-x*,The PMSM interference estimation error equation can again be expressed as:
the specific implementation method of the step 11) comprises the following steps: to regulate the PMSM speed, the output x is set*I.e. byThe disturbance being calculated and estimated by keeping the set value constantAnd introducing the estimated disturbance as a target value into a PMSM current control link, tracking the target value in real time, and playing a role in improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor.
Compared with the prior art, the invention has at least the following beneficial technical effects:
1. the uncertain disturbance estimator provided by the invention takes the external load torque of the PMSM as a disturbance term, and utilizes the uncertain disturbance estimator to carry out disturbance estimation, so that the motor speed fluctuation caused by torque change can be inhibited.
2. The designed rotating speed control rate can ensure that the system can carry out effective rotating speed tracking under the condition that the load torque of the PMSM is unknown.
Drawings
FIG. 1 is a PMSM equivalent circuit diagram; (ii) a
FIG. 2 is a schematic block diagram of a PMSM control scheme including a UDE;
FIG. 3 is a PMSM speed response curve at 0.2 seconds with a load torque of 2.43N-m applied to the system;
FIG. 4 is a PMSM speed response curve for an initial steady torque hold at 2.43N-m, applying a sinusoidally varying disturbance to the motor from 0.2 s;
FIG. 5 is a PMSM speed response curve with torque gradually increasing from 0 to 2.43N-m starting at 0.2 s;
FIG. 6 is a plot of the interference estimation error with a load torque of 2.43N-m applied to the system at 0.2 seconds;
FIG. 7 is a graph showing the variation of the RPM control law designed by the present invention when a load torque of 2.43N-m is applied to the system for 0.2 second.
Detailed Description
The technical solution of the present invention is further described in detail by the accompanying drawings.
As shown in fig. 1, most of the current PMSM driver speed control systems adopt vector control. The main purpose of vector control is to control the torque and magnetic field by controlling the d-axis and axis components of the stator currents or relative fluxes. With the information of the stator current and the rotor angle, the vector control technique can effectively control the PMSM torque and the magnetic flux. The voltage equation of the PMSM in the d-q reference system is as follows:
in the formula: i.e. id、iqRespectively representing the direct and quadrature currents in the d-q reference frame. L isd、LqRespectively representing the stator direct axis inductance and quadrature axis inductance. RsRepresenting the stator resistance. Lambda [ alpha ]αfA permanent magnet rotor flux linkage is shown. v. ofd、vqRepresenting the voltages applied on the direct and quadrature axes, respectively. OmegarThe electrical angular velocity at which the motor rotates is indicated.
In the d-q reference frame, the electromagnetic torque and the load torque of the PMSM can be expressed as:
in the formula: j represents the inertia torque of the permanent magnet synchronous motor, B represents the friction coefficient, P represents the number of poles, omegamIndicating the mechanical angular velocity at which the motor is rotating. Electric powerThe angular velocity can be expressed as:
if the torque angle is kept at 90 deg., the direct axis current idBecomes 0, quadrature axis current iqI.e. the stator phasor current. This current is also referred to as the torque component of the current. The combination of the two types (1) and (2) is known that when idWhen the value is 0, the PMSM electromagnetic torque is as follows:
from equation (4), it can be seen that the magnitude of the electromagnetic torque depends only on the quadrature current iqMagnitude, when direct axis current idWhen 0, the value is maximum.
As shown in figure 2, in order to enable a PMSM control system to have stronger anti-jamming capability at the same time, the UDE controller is introduced into a motor control system, and [ v ] is used in a voltage equation of the PMSMq vd]TIndicating input by [ i ]q id ωr]TExpressing system variables, and constructing a permanent magnet synchronous motor state equation as follows:
taking the motor load torque as a state equation disturbance signal, and defining the disturbance signal as follows:
and (3) introducing the disturbance signal into a rotating speed state equation in a PMSM state equation, wherein the rotating speed control loop equation can be expressed as follows:
setting a state variable x- ωr,u=iqThen the above equation may become:
in the formula:a1and b0The size is determined by the dynamics of the control object. The essence of the PMSM anti-disturbance system is to design the input u such that the motor tracks or adjusts the reference speed trajectory to the same desired value.
From the uncertain interference estimator algorithm it is known that: when the continuous signal passes through a low pass filter of appropriate bandwidth, the continuous signal can be approximated and estimated. Interference d and its estimationThe relationship between them is:
From equations (8) and (9):
the accurate setting of the rotating speed control law can ensure that the system can carry out effective rotating speed tracking under the condition that the load torque is unknown, and the rotating speed control rate is defined as follows:
in the formula: x is the number of*For the feedback value of the state variable, K is the error feedback gain, and since it is usually necessary to ensure that the reference model remains stable, K needs to be made>0. The formula (11) can be substituted for the formula (8):
equation (13) represents the disturbance estimation error, and determines the dynamic change of the motor rotational speed tracking error. K determines the convergence of the state trajectory error. When the interference is constant or changes more slowly,will be 0, at which time the controller can get better speed tracking performance.
The invention sets the output x to realize the rotation speed regulation of PMSM*I.e. byKeeping a certain value constant, to obtain a value that accounts for the estimated disturbanceThe new control vector u is used in the vector control of the permanent magnet synchronous motor, and the PI controller in a rotating speed ring (outer ring) is not required to be arranged at the moment.
In order to verify the effectiveness and correctness of the control scheme provided by the invention, a Matlab/Simulink simulation model is established, and PMSM simulation parameters are shown in a table 1:
table 1 PMSM simulation parameters
Different types of interference are imposed on the PMSM in the simulation. However, the reference speed of the motor is maintained substantially steady at 314rad/sec andthree simulation conditions are set during simulation: (1) applying a load torque of 2.43N-m at 0.2 seconds; (2) the torque is kept at 2.43N-m at the beginning, and sine-changed disturbance is applied to the motor from 0.2 s; (3) the torque gradually increased from 0 to 2.43N-m starting from 0.2 s.
As shown in fig. 3, the response speed of the conventional PI control is slow, the time from the start of the motor to the stabilization is about 0.99s, the overshoot is large, about 10.35%, and when the UDE is used for the rotational speed control, the time from the start of the motor to the stabilization is about 0.8s, and the overshoot is negligible; when a disturbance is suddenly applied at 0.2 second, the motor speed reaches a rated value of 314rad/sec within about 0.085 second with the conventional PI control, and reaches a rated value of 314rad/sec within about 0.05 second with the UDE control.
As shown in FIG. 4, when a sinusoidally varying disturbance is applied suddenly at 0.2 seconds, the response using conventional PI control will produce a low frequency oscillation with a large amplitude, reaching a nominal value of 314rad/sec in about 0.66 seconds, whereas the response using UDE control will produce little oscillation and reach a nominal value of 314rad/sec in about 0.04 seconds.
As shown in fig. 5, when the disturbance changes slowly, the overshoot amount is about 7.9% by using the conventional PI control, which is reduced compared to the case where the disturbance is suddenly applied, but the time from the motor start to the time when the motor becomes stable is about 0.17 seconds, which is increased compared to the time when the steady state is reached in the condition (1) and the condition (2); when the UDE is adopted for rotating speed control, the time for response to reach a steady state is about 0.12 second, although the response time is increased, the overshoot infinitely approaches to 0, the system quickly reaches a steady state, and the control effect is obvious.
As shown in fig. 6, when the speed is adjusted, the interference estimation error of the control method based on the UDE is small, and the error can be basically controlled within 3%, which indicates that the control method based on the UDE has high sensitivity and strong tracking capability.
As shown in fig. 7, when the UDE does not generate control current distortion during the control process, it shows that the control effect is good and the fluctuation is not easy to occur.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and all simple modifications, changes and equivalent structural changes made to the above embodiment according to the technical spirit of the present invention still fall within the protection scope of the technical solution of the present invention.
Claims (10)
1. A method for improving the anti-interference capability of speed regulation control of a permanent magnet synchronous motor is characterized by comprising the following steps:
1) establishing a voltage equation of the permanent magnet synchronous motor under a d-q reference system;
2) establishing PMSM electromagnetic torque T in d-q reference systemeAnd load torque TLAn expression;
3) according to a mathematical equation under a PMSM voltage dq coordinate system in the step 1) and PMSM electromagnetic torque T in the step 2)eAnd load torque TLObtaining a state equation of the PMSM under the dq coordinate system by the expression;
4) taking the motor load torque in the PMSM state equation in the step 3) as a state equation disturbance signal to obtain a disturbance signal expression;
5) substituting the disturbance signal expression in the step 4) into the PMSM state equation in the step 3) to obtain PMSM load torque as a state equation disturbance signal, and introducing the state equation of the PMSM in the dq coordinate system in the step 3) to obtain a rotating speed control loop equation;
6) setting a state variable, and converting the rotating speed control loop equation in the step 5) into a PMSM standard state equation;
7) approximating and estimating the continuous signal when the continuous signal passes through a low-pass filter with proper bandwidth, and establishing a relation between the disturbance signal and an estimation value;
8) obtaining a disturbance signal estimation value expression according to the PMSM standard state equation in the step 6) and the relation between the disturbance signal and the estimation value in the step 7);
9) in order to ensure that the effective rotating speed tracking is carried out under the condition that the load torque is unknown, a rotating speed control expression is provided according to the expression of the disturbance signal estimation value in the step 8);
10) substituting the expression of the rotating speed control rate in the step 9) into the PMSM standard state equation in the step 6) to obtain a PMSM interference estimation error equation;
11) in order to adjust the rotation speed of the PMSM, the output in a PMSM interference estimation error equation in the step 10) is set to be unchanged, the estimation disturbance is used as a target value and introduced into a PMSM current control link, the target value is tracked in real time, and the effect of improving the anti-interference capability of speed regulation control of the permanent magnet synchronous motor is achieved.
2. The method for improving the anti-jamming capability of the speed regulation control of the permanent magnet synchronous motor according to claim 1, wherein the step 1) establishes a voltage equation of the permanent magnet synchronous motor under a d-q reference system:
in the formula: i.e. id、iqRespectively representing direct axis and quadrature axis currents in a d-q reference frame; l isd、LqRespectively representing stator direct axis inductance and quadrature axis inductance; rsRepresenting the stator resistance; lambda [ alpha ]αfShowing a permanent magnet rotor flux linkage; v. ofd、vqRespectively representing voltages applied to a direct axis and a quadrature axis; omegarThe electrical angular velocity at which the motor rotates is indicated.
3. The method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 2, wherein the specific implementation method of the step 2) is as follows: establishing PMSM electromagnetic torque T in d-q reference systemeAnd load torque TLExpression:
in the formula: j represents the inertia torque of the permanent magnet synchronous motor, B represents the friction coefficient, P represents the number of poles, omegamRepresenting the mechanical angular velocity at which the motor rotates, the electrical angular velocity is expressed as:if the torque angle is kept at 90 deg., the direct axis current idBecomes 0, quadrature axis current iqI.e. the stator phasor current, which is also referred to as the torque component of the current; when i isdWhen the value is 0, the PMSM electromagnetic torque is as follows:the magnitude of the electromagnetic torque depends only on the quadrature axis current iqMagnitude, when direct axis current idWhen 0, the value is maximum.
4. The method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 3, wherein the specific implementation method of the step 3) is as follows: according to a mathematical equation under a PMSM voltage dq coordinate system in the step 1) and PMSM electromagnetic torque T in the step 2)eAnd load torque TLExpression of usingq vd]TIndicating input by [ i ]q id ωr]TAnd expressing system variables to obtain a state equation of the PMSM under the dq coordinate system:
5. the method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 4, wherein the specific implementation method of the step 4) is as follows: taking the motor load torque in the PMSM state equation in the step 3) as a state equation disturbance signal to obtain a disturbance signal expression:
the specific implementation method of the step 5) is as follows: substituting the disturbance signal expression in the step 4) into the PMSM state equation in the step 3) to obtain PMSM load torque as a state equation disturbance signal, introducing the state equation of the PMSM in the dq coordinate system in the step 3) to obtain a rotating speed control loop equation:
6. the method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 5, wherein the specific implementation method of the step 6) is as follows: setting a state variable: x is ωr,u=iqConverting the rotating speed control loop equation in the step 5) into a PMSM standard state equation:a1and b0The size is determined by the dynamic characteristics of the control object; the essence of the PMSM anti-disturbance system is to design the input u such that the motor tracks or adjusts the reference speed trajectory to the same desired value.
7. The method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 6, wherein the specific implementation method of the step 7) is as follows: approximating and estimating the continuous signal as it passes through a low pass filter of appropriate bandwidth; establishing a relation between the disturbance signal and an estimated value thereof:in the formula:is an estimate of interference d;denoted by τ is the bandwidth of the filter.
8. The method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 7, wherein the specific implementation method of the step 8) is as follows: obtaining a disturbance signal estimation value expression according to the PMSM standard state equation in the step 6) and the relation between the disturbance signal and the estimation value in the step 7):
9. the method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 8, wherein the specific implementation method of the step 9) is as follows: in order to ensure that the rotating speed tracking is effectively carried out under the condition that the load torque is unknown, according to the expression of the disturbance signal estimation value in the step 8), a rotating speed control expression is provided:
in the formula: x is the number of*For the feedback value of the state variable, K is the error feedback gain, and since it is usually necessary to ensure that the reference model remains stable, K needs to be made>0。
10. The method for improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor according to claim 9, wherein the specific implementation method of the step 10) is as follows: substituting the expression of the rotating speed control rate in the step 9) into the PMSM standard state equation in the step 6) to obtain a PMSM interference estimation error equation:let e be x-x*,The PMSM interference estimation error equation can again be expressed as:
the specific implementation method of the step 11) comprises the following steps: to regulate the PMSM speed, the output x is set*I.e. byThe disturbance being calculated and estimated by keeping the set value constantAnd introducing the estimated disturbance as a target value into a PMSM current control link, tracking the target value in real time, and playing a role in improving the anti-interference capability of the speed regulation control of the permanent magnet synchronous motor.
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