CN109194224B - Permanent magnet synchronous motor sensorless control method based on extended state observer - Google Patents
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- H—ELECTRICITY
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- 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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- H—ELECTRICITY
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- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
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Abstract
The invention provides a permanent magnet synchronous motor sensorless control method based on an extended state observer, which comprises the following steps: step 1, establishing a current state equation and a mechanical motion equation of a permanent magnet synchronous motor in a static coordinate system; step 2, designing a continuous sliding mode observer; and 3, designing a motor disturbance compensation controller based on the extended state observer.
Description
Technical Field
The invention relates to a control method, in particular to a permanent magnet synchronous motor sensorless control method based on an extended state observer.
Background
The permanent magnet synchronous motor serving as a common driving device has the advantages of simple structure, low noise, high energy density, high efficiency and the like, and is more and more widely applied to the industrial field. With the development of control technology, higher requirements are put on the control level of the permanent magnet synchronous motor. However, as a complicated strongly coupled nonlinear system, the permanent magnet synchronous motor is affected by external interference, so that the precise control of the permanent magnet synchronous motor becomes more difficult.
The sensor is a common auxiliary device, can provide an accurate feedback signal, and significantly improves the control precision of the permanent magnet synchronous motor, but also brings cost rise, equipment volume increase and mechanical reliability reduction risk, so that the sensorless control of the permanent magnet synchronous motor is greatly developed. The current common sensorless control of the permanent magnet synchronous motor is mainly divided into two types: the control based on the fundamental wave mathematical model at middle and high speed and the control based on the high-frequency signal injection at low speed. In the control method based on the fundamental wave mathematical model, the sliding mode control has low requirement on the precision of the system model and is insensitive to parameter interference, so that the method is widely applied. However, the conventional sliding mode control adopts a sudden change sign function as a control rate, and inevitably causes the problem of motor jitter. In addition, in practical industrial applications, external disturbances are inevitable, which have a great influence on the motion accuracy of the motor.
Disclosure of Invention
The invention aims to provide a permanent magnet synchronous motor sensorless control method based on an extended state observer, so as to improve the control precision of a permanent magnet synchronous motor.
The technical scheme for realizing the purpose of the invention is as follows: a permanent magnet synchronous motor sensorless control method based on an extended state observer comprises the following steps:
step 2, designing a continuous sliding mode observer;
and 3, designing a motor disturbance compensation controller based on the extended state observer.
By adopting the method, the specific process of the step 1 is as follows:
step 1.1, establishing a current state equation under a static coordinate system of the permanent magnet synchronous motor:
where R is stator resistance, L is stator inductance, ω is electrical angular velocity,. psifIs the permanent magnet flux linkage, θ is the rotor position, iαAnd iβStator currents, u, representing the alpha and beta axes, respectivelyαAnd uβStator voltages representing the alpha and beta axes, respectively, eαAnd eβExtended back emf representing the alpha and beta axes, respectively;
step 1.2, establishing a mechanical motion equation of the permanent magnet synchronous motor:
where J is the moment of inertia, B is the damping coefficient, ωmIs the mechanical angular velocity, p is the number of pole pairs of the PMSM, iqIs the q-axis current, TLIs the load torque.
By adopting the method, the specific process in the step 2 is that the continuous sliding mode observer does not:
wherein,andrespectively representing the estimated values of the alpha-axis current and the beta-axis current, k is a constant coefficient, H represents a continuous sigmoid equation and is expressed as
Where a is a constant coefficient.
By adopting the method, the specific design process of the extended state observer in the step 3 is as follows:
step 3.1.1, rewrite formula (2) to
Order toRepresents the error in the estimation of the mechanical angular velocity of the motor,is an estimate of the mechanical angular velocity, thenRepresents the total disturbance, including the disturbance due to the estimated mechanical angular velocity, the disturbance due to the load variation, and iqObservation error of (i)q *Is an ideal value of the q-axis current;
step 3.1.2, take d (t) as an expanded state and d (t) as a bounded, ordered state variablex2D (t), then formula (10) may be represented as:
Step 3.1.3, designing the extended state observer according to equation (11)
Wherein z is1Is x1Estimate of (b), z2Is x2P is expressed as the bandwidth of the ESO;
step 3.1.4, let the estimation errorif i is 1,2, the observer estimation error of the extended state observer is derived from equations (11) and (12):
By adopting the method, the motor disturbance compensation controller designed based on the extended state observer in the step 3 is as follows:
wherein k ispAnd kiProportional and integral coefficients, omega, of PI control, respectivelym *Is an ideal value of the mechanical angular speed of the motor.
The sensorless high-precision motion control method of the permanent magnet synchronous motor based on the extended state observer does not use a mechanical observer, has strong adaptability to uncertain external disturbance, and can ensure that the speed of the motor is well tracked.
The invention is further described below with reference to the accompanying drawings.
Drawings
Fig. 1 is a schematic structural diagram of the entire permanent magnet synchronous motor control system.
Fig. 2 is a graph showing the comparison curve of the speed of the permanent magnet synchronous motor with time under three control actions.
FIG. 3 is a schematic diagram of an estimate of disturbance by an ISMO + ESO controlled extended state observer.
FIG. 4 is a schematic of the estimate of speed for an ISMO + ESO controlled continuous sliding mode observer.
Detailed Description
With reference to fig. 1, a method for sensorless control of a permanent magnet synchronous motor based on an extended state observer includes the following steps:
step 2, designing a continuous sliding mode observer;
and 3, designing a motor disturbance compensation controller based on the extended state observer.
step 1.1, for a surface-mounted three-phase permanent magnet synchronous motor, a current equation of the surface-mounted three-phase permanent magnet synchronous motor in a static coordinate system is as follows:
where R is the stator resistance, L is the stator inductance, ω is the electrical angular velocity,. psifIs the permanent magnet flux linkage, θ is the rotor position, iαAnd iβStator currents, u, representing the alpha and beta axes, respectivelyαAnd uβStator voltages representing the alpha and beta axes, respectively, eαAnd eβRepresenting the extended back emf of the alpha and beta axes, respectively.
Step 1.2, establishing a mechanical motion equation of the permanent magnet synchronous motor:
vector control can realize decoupling of magnetic field and torque, so that the alternating current motor has control performance similar to that of a direct current motor, and is widely applied. In the adoption ofIn the control strategy of (1), the mechanical motion equation of the motor is as follows:
where J is the moment of inertia, B is the damping coefficient, ωmIs the mechanical angular velocity, p is the number of pole pairs of the PMSM, iqIs the q-axis current, TLIs the load torque.
Step 2, designing a continuous sliding mode observer:
step 2.1, in order to obtain an estimated value of the extended back electromotive force, designing a continuous sliding mode observer as follows:
whereinAndrespectively representing the estimated values of the alpha-axis and beta-axis currents, k being a constant coefficient, and H representing a continuous sigmoid equation expressed as:
where a is a constant coefficient.
Step 2.2, stability demonstration
Define a slip form surface ofWhereinAndrepresenting the current error. The Lyapunov function is designed as
(1) The difference between the formula (II) and the formula (3)
K > max (| e) can be obtainedα|,|eβI.e., when k is large enough, the sliding-mode observer is asymptotically stable. According to the equivalent control principle, the estimated value of the extended back electromotive force is
The rotor electrical angular velocity and position can be estimated from the resulting estimate of the extended back emf:
the mechanical angular velocity of the motor is estimated as:
and 3, designing a motor disturbance compensation controller based on an Extended State Observer (ESO):
step 3.1, design of extended State observer
Rewriting formula (2) to
Order toAn estimation error representing the mechanical angular velocity of the motor, then Represents the total disturbance, including the disturbance due to the estimated mechanical angular velocity, the disturbance due to the load variation, and iqThe observation error of (2);
with d (t) as an expanded state and d (t) bounded, thenVariable in order statex2D (t), then formula (10) may be represented as:
Wherein z is1Is x1Estimate of (b), z2Is x2P is expressed as the bandwidth of the ESO;
let the estimation errori is 1, 2; then from (11) (12) the estimated error of the ESO observer can be derived as:
wherein D is [0,1 ═ D]TG is a Helverz matrix having GTF + FG is-I, the matrix F is a symmetric positive definite matrix, and the matrix I is an identity matrix. From the formula (13) can be derived
Introduction 1: assuming c (t) is bounded, the estimated state is always bounded, and there is a constant γi> 0 and finite time T1> 0, such that:
description 1: it can be seen from lemma 1 that the proposed extended state observer ESO has good observation performance. After a limited time, the estimation error can be reduced to a specified range by increasing the bandwidth P. This means that the estimated state z can be used in the controller design2To compensate for the total disturbance x2。
Step 3.2, designing a compensation controller based on the Extended State Observer (ESO)
The basic principle of disturbance observer control is: firstly, assuming that the disturbance is known, and designing a basic controller to meet the required control requirement; and secondly, designing a disturbance observer to estimate the disturbance, and adding the estimated disturbance into the basic controller to achieve the purposes of canceling the disturbance and improving the control precision. The PI control which has simple structure, high efficiency and easy realization is used as a basic controller, and the disturbance estimation z obtained in the last step is used2Added to the base controller to counteract the effects of the disturbance.
The controller is designed as follows:
wherein k ispAnd kiProportional coefficient and integral coefficient of PI control.
Performing MATLAB simulation on the controller with the design:
taking the expected rotating speed of the permanent magnet synchronous motor as omega m *1000; get external interference TLThe initial value is 0, and the mutation is 11 at 15 s; permanent magnet flux linkage psif0.175; moment of inertia J ═ 0.001; damping coefficient B is 0.01; the number of pole pairs p is 4; the motor speed initial value is taken as 0. The calculated parameters a 1050 and C10.
Comparing simulation results: the parameter of the extended state observer designed by the invention is selected as that the ESO bandwidth is taken as P-250; selecting a sensorless control parameter of the motor as 100, and selecting a parameter of K as 200; the parameter of the speed loop PI controller is selected as a proportionality coefficient k p1, integral coefficient ki=0.01。
The velocity tracking curves for SMO control, ISMO control, and ISMO + ESO control are shown in FIG. 2. From fig. 2, it can be seen that the change of the ISMO + ESO control with time has a small tracking error to the rotation speed, and has a strong anti-interference capability when the external disturbance changes. The disturbance estimation curve of the extended state observer controlled by ISMO + ESO is shown in FIG. 3. The disturbance estimation curve of the extended state observer controlled by the ISMO + ESO is shown in FIG. 3, and it can be seen from FIG. 3 that the extended state observer has a better estimation on the external disturbance, and the estimation error is about 2%. The speed estimation curve of the ISMO + ESO controlled sliding-mode observer is shown in FIG. 4, and it can be seen from FIG. 4 that the continuous sliding-mode observer has a good estimation effect on the rotating speed of the motor, and the estimation error is within 1%.
Claims (2)
1. A permanent magnet synchronous motor sensorless control method based on an extended state observer is characterized by comprising the following steps:
step 1, establishing a current state equation and a mechanical motion equation of a permanent magnet synchronous motor in a static coordinate system;
step 2, designing a continuous sliding mode observer;
step 3, designing a motor disturbance compensation controller based on the extended state observer;
the specific process of the step 1 is as follows:
step 1.1, establishing a current state equation under a static coordinate system of the permanent magnet synchronous motor:
where R is stator resistance, L is stator inductance, ω is electrical angular velocity,. psifIs the permanent magnet flux linkage, θ is the rotor position, iαAnd iβStator currents, u, representing the alpha and beta axes, respectivelyαAnd uβStator voltages representing the alpha and beta axes, respectively, eαAnd eβExtended back emf representing the alpha and beta axes, respectively;
step 1.2, establishing a mechanical motion equation of the permanent magnet synchronous motor:
where J is the moment of inertia, B is the damping coefficient, ωmIs the mechanical angular velocity, p is the number of pole pairs of the PMSM, iqIs the q-axis current, TLIs the load torque;
the specific process in the step 2 is that the continuous sliding mode observer is as follows:
wherein,andrespectively representing the estimated values of the alpha-axis current and the beta-axis current, k is a constant coefficient, H represents a continuous sigmoid equation and is expressed as
Wherein a is a constant coefficient;
the specific design process of the extended state observer in the step 3 is as follows:
step 3.1.1, rewrite formula (2) to
Order toRepresents the error in the estimation of the mechanical angular velocity of the motor,is an estimate of the mechanical angular velocity, thenRepresents the total disturbance, including the disturbance due to the estimated mechanical angular velocity, the disturbance due to the load variation, and iqObservation error of (i)q *Is an ideal value of the q-axis current;
step 3.1.2, take d (t) as an expanded state and d (t) as a bounded, ordered state variablex2D (t), then formula (10) may be represented as:
Step 3.1.3, designing the extended state observer according to equation (11)
Wherein z is1Is x1Estimate of (b), z2Is x2P is expressed as the bandwidth of the ESO;
step 3.1.4, let the estimation errorThe observer estimation error of the extended state observer is derived from equations (11), (12) as:
wherein D is [0,1 ═ D]TAnd G is a Helverz matrix.
2. The method according to claim 1, wherein the motor disturbance compensation controller designed based on the extended state observer in step 3 is:
wherein k ispAnd kiProportional and integral coefficients, omega, of PI control, respectivelym *Is an ideal value of the mechanical angular speed of the motor.
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Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103780174A (en) * | 2014-01-09 | 2014-05-07 | 北京科诺伟业科技股份有限公司 | Method for suppressing voltage fluctuation and flicker caused by wind power |
CN105577058A (en) * | 2015-12-28 | 2016-05-11 | 江苏大学 | Novel fuzzy active disturbance rejection controller based five-phase fault-tolerant permanent magnet motor speed control method |
CN105680750A (en) * | 2016-04-20 | 2016-06-15 | 无锡信捷电气股份有限公司 | PMSM servo system control method based on improved model compensation ADRC |
CN106487304A (en) * | 2016-10-27 | 2017-03-08 | 江苏大学 | A kind of permagnetic synchronous motor method for estimating state based on sliding formwork back-EMF observer device |
CN107579690A (en) * | 2017-08-28 | 2018-01-12 | 南京理工大学 | A kind of ultrahigh speed permagnetic synchronous motor method for estimating rotating speed based on sliding formwork observation |
-
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Patent Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN103780174A (en) * | 2014-01-09 | 2014-05-07 | 北京科诺伟业科技股份有限公司 | Method for suppressing voltage fluctuation and flicker caused by wind power |
CN105577058A (en) * | 2015-12-28 | 2016-05-11 | 江苏大学 | Novel fuzzy active disturbance rejection controller based five-phase fault-tolerant permanent magnet motor speed control method |
CN105680750A (en) * | 2016-04-20 | 2016-06-15 | 无锡信捷电气股份有限公司 | PMSM servo system control method based on improved model compensation ADRC |
CN106487304A (en) * | 2016-10-27 | 2017-03-08 | 江苏大学 | A kind of permagnetic synchronous motor method for estimating state based on sliding formwork back-EMF observer device |
CN107579690A (en) * | 2017-08-28 | 2018-01-12 | 南京理工大学 | A kind of ultrahigh speed permagnetic synchronous motor method for estimating rotating speed based on sliding formwork observation |
Non-Patent Citations (3)
Title |
---|
Speed Adaptive Sliding Mode Control with an Extended State Observer for Permanent Magnet Synchronous Motor;Peipei Xia et al;《Mathematical Problems in Engineering》;20150405;第1-13页 * |
基于ESO的旋转导向用电机控制方法研究;刘红震 等;《电子测量技术》;20170430;第40卷(第4期);第56-59页 * |
基于新型滑模观测器方法的永磁同步电机控制系统仿真;姜家豪 等;《第十五届沈阳科学学术年会论文集(理工农医)》;20180601;第1-7页 * |
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