CN116094390A - Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm - Google Patents

Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm Download PDF

Info

Publication number
CN116094390A
CN116094390A CN202310041667.5A CN202310041667A CN116094390A CN 116094390 A CN116094390 A CN 116094390A CN 202310041667 A CN202310041667 A CN 202310041667A CN 116094390 A CN116094390 A CN 116094390A
Authority
CN
China
Prior art keywords
rotor
disturbance rejection
rotating speed
model
current
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN202310041667.5A
Other languages
Chinese (zh)
Inventor
万昌晖
王文立
段纳
李明龙
邹骏宇
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Wuxi Xinje Electric Co Ltd
Original Assignee
Wuxi Xinje Electric Co Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Wuxi Xinje Electric Co Ltd filed Critical Wuxi Xinje Electric Co Ltd
Priority to CN202310041667.5A priority Critical patent/CN116094390A/en
Publication of CN116094390A publication Critical patent/CN116094390A/en
Pending legal-status Critical Current

Links

Images

Classifications

    • 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
    • H02P21/13Observer control, e.g. using Luenberger observers or Kalman filters
    • 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
    • H02P21/14Estimation or adaptation of machine parameters, e.g. flux, current or voltage
    • H02P21/18Estimation of position or speed
    • 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
    • H02P21/22Current control, e.g. using a current control loop
    • 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
    • H02P2205/00Indexing scheme relating to controlling arrangements characterised by the control loops
    • H02P2205/01Current loop, i.e. comparison of the motor current with a current reference
    • 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
    • H02P2205/00Indexing scheme relating to controlling arrangements characterised by the control loops
    • H02P2205/07Speed loop, i.e. comparison of the motor speed with a speed reference

Landscapes

  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Electric Motors In General (AREA)

Abstract

The invention relates to the technical field of motor control, in particular to a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm, which comprises a controller design module for decoupling control of rotor rotation speed rapidity and disturbance rejection; the pulse width modulation module is used for realizing inversion by controlling the on-off of six switching devices in the three-phase full-bridge circuit; the system comprises a rotor rotating speed estimation module for realizing a rotating speed tracking reference model and a rotor flux linkage identification module. The scheme can solve the problem that the traditional rotating speed ring controller cannot give consideration to the output rapidity and the noise immunity of the system, and uses the model reference self-adaptive technology to carry out rotor rotating speed estimation, so that a speed sensor is not needed, and the cost is reduced.

Description

Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm
Technical Field
The invention relates to the technical field of motor control, in particular to a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm.
Background
Asynchronous motors have become the most widely used motors in various industries and people's daily lives because of the advantages of simple structure, reliable operation, convenient maintenance and the like. With the development of the power electronic technology and the innovation of the motor control theory, the application occasions of the asynchronous motor are also developed from the original non-speed-adjustable dragging system to the dragging system with adjustable speed. The asynchronous motor speed regulation control technology is controlled by an early constant voltage frequency ratio, and the trend of mainly vector control and secondarily direct torque control is formed.
The principle of vector control is analogous to the characteristic of independent control of torque current and exciting current in a direct current motor, three-phase stator current is decomposed into two mutually orthogonal components through coordinate change, one component is coincident with a rotor flux linkage vector and is called an exciting current component, and the other component is perpendicular to the rotor flux linkage vector and is called a torque current component and then controlled respectively. The asynchronous motor speed regulating system based on vector control mostly adopts a double closed loop structure, an inner loop is a current loop, an outer loop is a speed loop, and a PI controller is mostly adopted. However, the vector control speed regulation performance based on the PI controller is susceptible to motor parameter mismatch, and the output has large overshoot when the load is disturbed. The PI controller essentially belongs to a freedom degree controller, and when the motor parameter changes or the load is disturbed, the parameter adjustment can only be processed in a compromise between the output rapidity and the disturbance resistance, and the essence of the controller is not changed.
In order to solve the problem of coupling output rotating speed rapidity and immunity, a composite control idea is generally adopted at present, and the conventional two-degree-of-freedom controller introduces an observer to improve the immunity of the system, but the problem of coupling the immunity and the rapidity of the system still exists partially.
Disclosure of Invention
The invention aims to solve the problems in the prior art, and provides a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm, which is used for solving the technical problem that the disturbance rejection and the rapidity of a traditional system are partially coupled.
The above purpose is realized by the following technical scheme:
an asynchronous motor two-degree-of-freedom speed regulation method based on a novel active disturbance rejection algorithm comprises the following steps:
the controller design module comprises a rotating speed ring design and a current ring design, wherein the rotating speed ring adopts a novel active disturbance rejection controller and is used for decoupling control of rotor rotating speed rapidity and disturbance rejection; the current loop adopts a traditional active disturbance rejection controller;
the pulse width modulation module is used for realizing inversion by controlling the on-off of six switching devices in the three-phase full-bridge circuit;
the rotor rotating speed estimation module adopts a model reference self-adaption method to take a voltage model as a reference model, takes a current model as an adjustable model, and forms a self-adaption law by utilizing errors of output quantities of the reference model and the adjustable model so as to realize a rotating speed tracking reference model;
and the rotor flux linkage identification module adopts a current model, utilizes the component of the rotor flux linkage on the dq axis, and obtains the phase information of the rotor flux linkage through arctangent.
Further, the rotation speed ring adopts a novel active disturbance rejection controller for decoupling control of rotor rotation speed rapidity and disturbance rejection, and the method comprises the following steps:
step (1) obtaining a first-order differential equation of the rotor rotating speed according to a motor model;
step (2) designing a control input according to the first-order differential equation of the rotor rotating speed in the step (1);
step (3) improving the rotating speed ring observer into a linear expansion state observer structure; and the complete decoupling of the disturbance rejection and the rapidity of the output rotating speed is realized.
Further, the step (1) specifically comprises the following steps:
and obtaining a first-order differential equation of the rotating speed of the rotor according to the motor model, wherein the first-order differential equation is as follows:
Figure BDA0004050791670000021
wherein ,
Figure BDA0004050791670000022
for the system control gain true value, the control gain is a time-varying value in the actual system due to the inertia constant and the variation of the rotor flux linkage, b 0 An estimated value for b; />
Figure BDA0004050791670000023
u=i sq For system input, f=d (t) + (b-b) 0 ) u is the total disturbance of the system.
Further, the step (2) specifically comprises:
definition error e s =w *-w, wherein w* For the rotor rotation speed set value, w is a feedback value, and then the differentiation of the error is as follows:
Figure BDA0004050791670000024
the error proportion feedback control law is adopted, and then:
Figure BDA0004050791670000025
wherein kps And (3) obtaining a system control input for the proportional control rate, namely differential of the simultaneous error and the error proportional feedback control rate:
Figure BDA0004050791670000026
further, the step (2) includes clipping the control input according to the following formula:
Figure BDA0004050791670000031
wherein ,
Figure BDA0004050791670000032
the ideal value is input for the designed control system,/>
Figure BDA0004050791670000033
at the maximum value of the reference current that the system can withstand,
Figure BDA0004050791670000034
is the actual system input after clipping processing.
Further, the step (3) specifically comprises: the improved linear extended state observer is used for observing the external disturbance and the internal unmodeled part of the system, a first-order differential equation of the rotating speed of the rotor of the control object is simplified into a simple integral series connection type, and the structure of the improved linear extended state observer is as follows:
Figure BDA0004050791670000035
wherein ,z1 For estimating the actual output y of the system, z 2 Estimating the total disturbance of the system; definition error e 1 Beta is the difference between the actual output and the estimated value of the system 1 and β2 For the control gain of the observer, the characteristic polynomial of the observer is:
s 21 s+β 2 =(s+w 0 ) 2
the poles of the characteristic equation of the observer can be placed at the same position-w through parameterization 0 At this point beta 1 =2w 0
Figure BDA0004050791670000036
Weighing w 0 Bandwidth for observer;
the closed loop transfer function generated by the system reference input at this time is as follows:
Figure BDA0004050791670000037
the closed loop transfer function of the system caused by load disturbance is as follows:
Figure BDA0004050791670000038
further, the method also comprises the steps of: inputting a stator current reference value obtained by a rotating speed ring into the current ring, and designing a traditional active disturbance rejection controller according to a first-order differential equation of stator current in an asynchronous motor model, wherein the formula is as follows:
Figure BDA0004050791670000039
wherein ψr I is the rotor flux linkage sq Q-axis component, w of stator current in rotation coordinate system r R is the rotation speed of the rotor s ,R r Respectively is stator and rotor resistance, L m Is mutual inductance, L r For rotor self-inductance, L s Is stator self-inductance, T r Is rotor constant, sigma is leakage inductance coefficient, w 1 Is synchronous rotation speed;
the method also comprises the step of designing a control input of the voltage ring, wherein the control input is represented by the following formula:
Figure BDA0004050791670000041
wherein
Figure BDA0004050791670000042
I is the input quantity of the voltage loop * The reference value of the stator current output by the current loop is i which is the feedback quantity of the stator current, k ps For proportional control gain, f is the other part of the differential and input quantity in the first-order differential equation of the current;
estimating f by using a traditional linear expansion state observer, wherein the observer structure is as follows:
Figure BDA0004050791670000043
further, the pulse width modulation module realizes inversion by controlling the on-off of six switching devices in the three-phase full-bridge circuit, specifically: the stator voltage reference value output by the voltage loop is input to a pulse width modulation module, and the on-off of six switching devices in a three-phase full-bridge circuit is controlled to realize inversion by a space vector pulse width modulation method, and the method comprises the following steps:
judging the sector according to the components of the stator voltage on d and q axes;
calculating the action time of the main vector and the auxiliary vector of each sector;
each sector vector switching time is calculated.
Further, the rotor rotation speed estimation module adopts a model reference self-adaptive method to take a voltage model as a reference model, and the formula is as follows:
Figure BDA0004050791670000044
further, the rotor flux identification module adopts a current model, utilizes the component of the rotor flux on the dq axis, and obtains the phase information of the rotor flux through arctangent, specifically:
the rotor flux linkage identification adopts a current model, and according to a rotor voltage equation:
Figure BDA0004050791670000051
the components of the rotor flux linkage on the d axis and the q axis can be solved by taking the rotor rotation speed estimated under the model reference self-adaptive method as input, the real-time phase of the rotor flux linkage can be obtained by negating and tangent the components, and the real-time phase is input to a park transformation module to realize transformation from a static coordinate system to a rotary coordinate system.
Advantageous effects
The two-degree-of-freedom speed regulation method for the asynchronous motor based on the novel active disturbance rejection algorithm provided by the invention has the following advantages:
1. considering the problems that the asynchronous motor has unmatched load torque and motor parameters in the actual running process, the asynchronous motor is unified into the total disturbance of the system, a linear expansion state observer is adopted to observe and compensate, a control object is simplified into a simple integral series connection type, and decoupling control of a torque component and a flux linkage component is realized.
2. The problem that the traditional rotating speed ring controller cannot give consideration to the output rapidity and the disturbance rejection of the system is solved, when the system load torque suddenly changes, the overshoot of the rotating speed of the output rotor can be independently regulated by changing the bandwidth of the observer, the disturbance rejection is changed, the response time of the rotating speed of the output rotor can be independently regulated by changing the proportional gain of the controller, the rapidity is changed, and therefore the two-degree-of-freedom control of the disturbance rejection and the rapidity mutually independent of the output rotating speed is realized.
3. Aiming at the problems of low recognition efficiency, the system cost and complexity are increased by using a speed sensor, the reliability of the system is reduced, and the rotor rotating speed is estimated by using a model reference self-adaptive technology, so that the speed sensor is not needed, and the cost is reduced.
Drawings
FIG. 1 is a schematic diagram of a system structure of a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm;
FIG. 2 is a block diagram of a novel two-degree-of-freedom ADRC rotational speed loop controller in a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm;
FIG. 3 shows the difference k of the conventional active disturbance rejection controller in the idle condition ps A lower speed response curve;
FIG. 4 shows different w of a conventional active disturbance rejection controller in an idle condition 0 A lower speed response curve;
FIG. 5 shows different k of a conventional active disturbance rejection controller under 0.3s sudden load condition in a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to the present invention ps A lower speed response curve;
FIG. 6 shows different w of a conventional active disturbance rejection controller under 0.3s sudden load condition in a two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to the present invention 0 A lower speed response curve;
FIG. 7 shows a novel active disturbance rejection algorithm according to the present inventionNovel active disturbance rejection controller different k under air load condition in two-degree-of-freedom speed regulation method of asynchronous motor ps A lower speed response curve;
FIG. 8 shows different w of the novel active disturbance rejection controller under the condition of no air in the two-degree-of-freedom speed regulation method of the asynchronous motor based on the novel active disturbance rejection algorithm 0 A lower speed response curve;
FIG. 9 shows the different k of the novel active disturbance rejection controller under the condition of 0.3s sudden load in the two-degree-of-freedom speed regulation method of the asynchronous motor based on the novel active disturbance rejection algorithm ps A lower speed response curve;
FIG. 10 shows different w of the novel active disturbance rejection controller under the condition of 0.3s sudden load in the two-degree-of-freedom speed regulation method of the asynchronous motor based on the novel active disturbance rejection algorithm 0 Lower speed response curve.
Detailed Description
The invention is described in further detail below with reference to the drawings and examples. The described embodiments are only some, but not all, embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
As shown in fig. 1, the two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm mainly comprises a controller design module, a pulse width modulation module, a rotor rotation speed estimation module and a rotor flux linkage identification module, wherein:
the controller design module comprises a rotating speed ring design and a current ring design, wherein the rotating speed ring adopts a novel active disturbance rejection controller and is used for decoupling control of rotor rotating speed rapidity and disturbance rejection; the current loop adopts a traditional active disturbance rejection controller;
the pulse width modulation module realizes inversion by controlling the on-off of six switching devices in the three-phase full-bridge circuit;
the rotor rotating speed estimation module adopts a model reference self-adaptive method to take a voltage model as a reference model, takes a current model as an adjustable model, and utilizes errors of output quantities of the reference model and the adjustable model to form a self-adaptive law so as to realize a rotating speed tracking reference model;
the rotor flux linkage identification module adopts a current model, utilizes the component of the rotor flux linkage on the dq axis, and obtains the phase information of the rotor flux linkage through arctangent.
Wherein, asynchronous motor parameters are as shown in table 1:
Figure BDA0004050791670000061
/>
Figure BDA0004050791670000071
table 1 asynchronous machine parameters
In this embodiment, the rotation speed ring adopts a novel active disturbance rejection controller, which is used for decoupling control of rotor rotation speed rapidity and disturbance rejection, and includes the following steps:
step (1) obtaining a first-order differential equation of the rotor rotating speed according to a motor model;
step (2) designing a control input according to the first-order differential equation of the rotor rotating speed in the step (1);
step (3) improving the rotating speed ring observer into a linear expansion state observer structure; and the complete decoupling of the disturbance rejection and the rapidity of the output rotating speed is realized.
Wherein, the step (1) specifically comprises the following steps: and obtaining a first-order differential equation of the rotating speed of the rotor according to the motor model, wherein the first-order differential equation is as follows:
Figure BDA0004050791670000072
wherein ,
Figure BDA0004050791670000073
for the system control gain true value, the control gain is a time-varying value in the actual system due to the inertia constant and the variation of the rotor flux linkage, b 0 An estimated value for b; />
Figure BDA0004050791670000074
u=i sq For system input, f=d (t) + (b-b) 0 ) u is the total disturbance of the system.
The step (2) designs a control input according to the first-order differential equation of the rotor rotating speed in the step (1), specifically:
definition error e s =w *-w, wherein w* For the rotor rotation speed set value, w is a feedback value, and then the differentiation of the error is as follows:
Figure BDA0004050791670000075
the error proportion feedback control law is adopted, and then:
Figure BDA0004050791670000081
wherein kps And (3) obtaining a system control input for the proportional control rate, namely differential of the simultaneous error and the error proportional feedback control rate:
Figure BDA0004050791670000082
in a practical system, infinite control input cannot be provided, so the step (2) further includes clipping the control input, where the formula is as follows:
Figure BDA0004050791670000083
wherein ,
Figure BDA0004050791670000084
inputting ideal values for the control system designed, +.>
Figure BDA0004050791670000085
At the maximum value of the reference current that the system can withstand,
Figure BDA0004050791670000086
is the actual system input after clipping processing.
The rotating speed ring observer is improved to be in a linear expansion state observer structure; the complete decoupling for realizing the disturbance rejection and the rapidity of the output rotating speed is specifically as follows: the improved linear extended state observer is used for observing the external disturbance and the internal unmodeled part of the system, a first-order differential equation of the rotating speed of the rotor of the control object is simplified into a simple integral series connection type, and the structure of the improved linear extended state observer is as follows:
Figure BDA0004050791670000087
wherein ,z1 For estimating the actual output y of the system, z 2 Estimating the total disturbance of the system; definition error e 1 Beta is the difference between the actual output and the estimated value of the system 1 and β2 For the control gain of the observer, the characteristic polynomial of the observer is:
s 21 s+β 2 =(s+w 0 ) 2
the poles of the characteristic equation of the observer can be placed at the same position-w through parameterization 0 At this point beta 1 =2w 0
Figure BDA0004050791670000088
Weighing w 0 Bandwidth for observer;
the closed loop transfer function generated by the system reference input at this time is as follows:
Figure BDA0004050791670000089
the closed loop transfer function of the system caused by load disturbance is as follows:
Figure BDA0004050791670000091
in this embodiment, the immunity of the asynchronous motor speed regulating system of the novel two-degree-of-freedom ADRC (active disturbance rejection control) controller is only equal to the bandwidth w of the observer 0 The rapidity of the system is related to k only ps In relation, complete decoupling of system immunity and rapidity is achieved.
Also included is a current loop design: inputting a stator current reference value obtained by a rotating speed ring into the current ring, and designing a traditional active disturbance rejection controller according to a first-order differential equation of stator current in an asynchronous motor model, wherein the formula is as follows:
Figure BDA0004050791670000092
wherein ψr I is the rotor flux linkage sq Q-axis component, w of stator current in rotation coordinate system r R is the rotation speed of the rotor s ,R r Respectively is stator and rotor resistance, L m Is mutual inductance, L r For rotor self-inductance, L s Is stator self-inductance, T r Is rotor constant, sigma is leakage inductance coefficient, w 1 Is synchronous rotation speed;
the method also comprises the step of designing a control input of the voltage ring, wherein the control input is represented by the following formula:
Figure BDA0004050791670000093
wherein
Figure BDA0004050791670000094
I is the input quantity of the voltage loop * The reference value of the stator current output by the current loop is i which is the feedback quantity of the stator current, k ps For proportional control gain, f is the other part of the differential and input quantity in the first-order differential equation of the current;
estimating f by using a traditional linear expansion state observer, wherein the observer structure is as follows:
Figure BDA0004050791670000095
specifically, the controller design includes a d-axis and a q-axis, wherein:
the d-axis is divided into a rotor magnetic chain ring and a current ring
According to a first-order differential equation of the rotor rotating speed in a dynamic mathematical model of the asynchronous motor, the rotor flux linkage and the stator current are stable first-order inertia links in d-axis components, so that the flux linkage ring adopts open-loop control. Rotor flux linkage given value psi r 0.9Wb, the estimated value b of b can be obtained according to the motor parameters 0 =19.44。
The given value of the stator current in the d-axis component can be calculated by the given value of the rotor flux linkage, the given value of the stator current in the d-axis is used as the input of a current loop, and finally the given value of the stator voltage in the d-axis is obtained.
The q-axis is divided into a rotating speed ring and a current ring
The structure of the novel active disturbance rejection controller is shown in fig. 2, the complete decoupling of the rotor rotating speed rapidity and disturbance rejection is realized by changing the structure of a traditional linear expansion state observer, the reference value of the stator current output by the rotating speed ring on the q axis is used as the input of a current ring, and finally the given value of the stator voltage on the q axis is obtained.
In this embodiment, the pulse width modulation module controls on-off of six switching devices in the three-phase full-bridge circuit to implement inversion, which specifically includes: the stator voltage reference value output by the voltage loop is input to a pulse width modulation module, and the on-off of six switching devices in a three-phase full-bridge circuit is controlled to realize inversion by a space vector pulse width modulation method, and the method comprises the following steps:
judging the sector according to the components of the stator voltage on d and q axes;
calculating the action time of the main vector and the auxiliary vector of each sector;
each sector vector switching time is calculated.
In this embodiment, the rotor rotation speed estimation module uses a model reference adaptive method to take a voltage model as a reference model, and the formula is as follows:
Figure BDA0004050791670000101
the current model is used as an adjustable model, the two models have the same output quantity rotor flux linkage, and the parameters of the adjustable model are adjusted in real time by utilizing the output errors of the two models to form a proper self-adaptive law so as to achieve the purpose of controlling the output tracking reference model of the object.
In this embodiment, the rotor flux identification module adopts a current model, and obtains phase information of the rotor flux by using a component of the rotor flux on the dq axis and through arctangent, specifically:
the rotor flux linkage identification adopts a current model, and according to a rotor voltage equation:
Figure BDA0004050791670000102
the components of the rotor flux linkage on the d axis and the q axis can be solved by taking the rotor rotation speed estimated under the model reference self-adaptive method as input, the real-time phase of the rotor flux linkage can be obtained by negating and tangent the components, and the real-time phase is input to a park transformation module to realize transformation from a static coordinate system to a rotary coordinate system.
In order to verify the effectiveness of the controller, a simulation model of vector control of an asynchronous motor is built in MATLAB (MATLAB is commercial mathematical software available from MathWorks company, usa, used in the fields of data analysis, wireless communication, deep learning, image processing and computer vision, signal processing, quantitative finance and risk management, robotics, control systems, etc.).
It was found experimentally that under the same data conditions:
the conventional active disturbance rejection controller as shown in fig. 3 to 6 can only achieve partial decoupling of the rapidity and the disturbance rejection performance.
The novel two-degree-of-freedom auto-disturbance rejection controller scaling factor used in the invention as shown in figures 7-10 only affects the output rapidity of the system, the bandwidth of the controller only affects the disturbance rejection, and the complete decoupling of the two is realized.
The proportionality coefficient of the novel two-degree-of-freedom active-disturbance-rejection controller only affects the output rapidity of the system, the bandwidth of the controller only affects the disturbance rejection, the complete decoupling of the two is realized, and the traditional active-disturbance-rejection controller only can realize the partial decoupling of the rapidity and the disturbance rejection.
Therefore, the invention can simplify the parameter setting process of the asynchronous motor under vector control, and realize the two-degree-of-freedom control of the output rotating speed rapidity and the noise immunity of the motor
The above description is for the purpose of illustrating the embodiments of the present invention and is not to be construed as limiting the invention, but is intended to cover all modifications, equivalents, improvements and alternatives falling within the spirit and principle of the invention.

Claims (10)

1. The two-degree-of-freedom speed regulation method of the asynchronous motor based on the novel active disturbance rejection algorithm is characterized by comprising the following steps of:
the controller design module comprises a rotating speed ring design and a current ring design, wherein the rotating speed ring adopts a novel active disturbance rejection controller and is used for decoupling control of rotor rotating speed rapidity and disturbance rejection; the current loop adopts a traditional active disturbance rejection controller;
the pulse width modulation module is used for realizing inversion by controlling the on-off of six switching devices in the three-phase full-bridge circuit;
the rotor rotating speed estimation module adopts a model reference self-adaption method to take a voltage model as a reference model, takes a current model as an adjustable model, and forms a self-adaption law by utilizing errors of output quantities of the reference model and the adjustable model so as to realize a rotating speed tracking reference model;
and the rotor flux linkage identification module adopts a current model, utilizes the component of the rotor flux linkage on the dq axis, and obtains the phase information of the rotor flux linkage through arctangent.
2. The two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to claim 1, wherein the rotating speed ring adopts a novel active disturbance rejection controller for decoupling control of rotor rotating speed rapidity and disturbance rejection, and the method comprises the following steps:
step (1) obtaining a first-order differential equation of the rotor rotating speed according to a motor model;
step (2) designing a control input according to the first-order differential equation of the rotor rotating speed in the step (1);
step (3) improving the rotating speed ring observer into a linear expansion state observer structure; and the complete decoupling of the disturbance rejection and the rapidity of the output rotating speed is realized.
3. The two-degree-of-freedom speed regulation method of the asynchronous motor based on the novel active disturbance rejection algorithm of claim 2, wherein the step (1) is specifically as follows:
and obtaining a first-order differential equation of the rotating speed of the rotor according to the motor model, wherein the first-order differential equation is as follows:
Figure FDA0004050791660000011
wherein ,
Figure FDA0004050791660000012
for the system control gain true value, the control gain is a time-varying value in the actual system due to the inertia constant and the variation of the rotor flux linkage, b 0 An estimated value for b; />
Figure FDA0004050791660000013
u=i sq For system input, f=d (t) + (b-b) 0 ) u is the total disturbance of the system.
4. The two-degree-of-freedom speed regulation method of the asynchronous motor based on the novel active disturbance rejection algorithm of claim 3, wherein the step (2) is specifically as follows:
definition error e s =w *-w, wherein w* For the set value of the rotating speed of the rotor, w is a feedback value, and the error is slight at the momentThe method is divided into:
Figure FDA0004050791660000021
the error proportion feedback control law is adopted, and then:
Figure FDA0004050791660000022
wherein kps And (3) obtaining a system control input for the proportional control rate, namely differential of the simultaneous error and the error proportional feedback control rate:
Figure FDA0004050791660000023
/>
5. the two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to claim 4, wherein the step (2) further comprises performing amplitude limiting processing on the control input, and the formula is as follows:
Figure FDA0004050791660000024
wherein ,
Figure FDA0004050791660000025
inputting ideal values for the control system designed, +.>
Figure FDA0004050791660000026
For the maximum value of the reference current that the system can withstand, < +.>
Figure FDA0004050791660000027
Is the actual system input after clipping processing.
6. The two-degree-of-freedom speed regulation method of an asynchronous motor based on the novel active disturbance rejection algorithm according to any one of claims 4 or 5, wherein the step (3) is specifically: the improved linear extended state observer is used for observing the external disturbance and the internal unmodeled part of the system, a first-order differential equation of the rotating speed of the rotor of the control object is simplified into a simple integral series connection type, and the structure of the improved linear extended state observer is as follows:
Figure FDA0004050791660000028
wherein z1 For estimating the actual output y of the system, z 2 Estimating the total disturbance of the system; definition error e 1 Beta is the difference between the actual output and the estimated value of the system 1 and β2 For the control gain of the observer, the characteristic polynomial of the observer is:
s 21 s+β 2 =(s+w 0 ) 2
the poles of the characteristic equation of the observer can be placed at the same position-w through parameterization 0 At this point beta 1 =2w 0
Figure FDA0004050791660000029
Weighing w 0 Bandwidth for observer;
the closed loop transfer function generated by the system reference input at this time is as follows:
Figure FDA0004050791660000031
the closed loop transfer function of the system caused by load disturbance is as follows:
Figure FDA0004050791660000032
7. the two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm of claim 6, further comprising the steps of: inputting a stator current reference value obtained by a rotating speed ring into the current ring, and designing a traditional active disturbance rejection controller according to a first-order differential equation of stator current in an asynchronous motor model, wherein the formula is as follows:
Figure FDA0004050791660000033
wherein ψr I is the rotor flux linkage sq Q-axis component, w of stator current in rotation coordinate system r R is the rotation speed of the rotor s ,R r Respectively is stator and rotor resistance, L m Is mutual inductance, L r For rotor self-inductance, L s Is stator self-inductance, T r Is rotor constant, sigma is leakage inductance coefficient, w 1 Is synchronous rotation speed;
the method also comprises the step of designing a control input of the voltage ring, wherein the control input is represented by the following formula:
Figure FDA0004050791660000034
/>
wherein
Figure FDA0004050791660000035
I is the input quantity of the voltage loop * The reference value of the stator current output by the current loop is i which is the feedback quantity of the stator current, k ps For proportional control gain, f is the other part of the differential and input quantity in the first-order differential equation of the current;
estimating f by using a traditional linear expansion state observer, wherein the observer structure is as follows:
Figure FDA0004050791660000036
8. the two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to claim 1, wherein the pulse width modulation module realizes inversion by controlling the on-off of six switching devices in a three-phase full-bridge circuit, specifically: the stator voltage reference value output by the voltage loop is input to a pulse width modulation module, and the on-off of six switching devices in a three-phase full-bridge circuit is controlled to realize inversion by a space vector pulse width modulation method, and the method comprises the following steps:
judging the sector according to the components of the stator voltage on d and q axes;
calculating the action time of the main vector and the auxiliary vector of each sector;
each sector vector switching time is calculated.
9. The two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to claim 1, wherein the rotor rotation speed estimation module adopts a model reference adaptive method to take a voltage model as a reference model, and the formula is as follows:
Figure FDA0004050791660000041
10. the two-degree-of-freedom speed regulation method of an asynchronous motor based on a novel active disturbance rejection algorithm according to claim 1, wherein the rotor flux identification module adopts a current model, utilizes a component of a rotor flux on a dq axis, and obtains phase information of the rotor flux through arctangent, specifically comprising:
the rotor flux linkage identification adopts a current model, and according to a rotor voltage equation:
Figure FDA0004050791660000042
the components of the rotor flux linkage on the d axis and the q axis can be solved by taking the rotor rotation speed estimated under the model reference self-adaptive method as input, the real-time phase of the rotor flux linkage can be obtained by negating and tangent the components, and the real-time phase is input to a park transformation module to realize transformation from a static coordinate system to a rotary coordinate system.
CN202310041667.5A 2023-01-13 2023-01-13 Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm Pending CN116094390A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202310041667.5A CN116094390A (en) 2023-01-13 2023-01-13 Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202310041667.5A CN116094390A (en) 2023-01-13 2023-01-13 Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm

Publications (1)

Publication Number Publication Date
CN116094390A true CN116094390A (en) 2023-05-09

Family

ID=86202107

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202310041667.5A Pending CN116094390A (en) 2023-01-13 2023-01-13 Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm

Country Status (1)

Country Link
CN (1) CN116094390A (en)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117200621A (en) * 2023-08-04 2023-12-08 山东科技大学 Permanent magnet synchronous motor parameter identification method based on improved model reference adaptive system

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117200621A (en) * 2023-08-04 2023-12-08 山东科技大学 Permanent magnet synchronous motor parameter identification method based on improved model reference adaptive system

Similar Documents

Publication Publication Date Title
CN110429881B (en) Active-disturbance-rejection control method of permanent magnet synchronous motor
CN110572091B (en) Optimized sensorless control method for permanent magnet synchronous motor
Chitra et al. Induction motor speed control using fuzzy logic controller
CN108336935B (en) Linear motor control method with cooperation of backstepping control and ESO
CN108365787A (en) A kind of Permanent-magnet Synchronous-motor Speed Servo System and its design method based on internal model control
CN110739893A (en) improved self-adaptive trackless Kalman filtering rotational inertia identification method
CN113241985B (en) Current self-correction control device and method for magnetic suspension flywheel without position sensor
CN111510035A (en) Control method and device for permanent magnet synchronous motor
CN112532133B (en) Filtering compensation sliding mode active-disturbance-rejection control method suitable for permanent magnet synchronous motor
CN110995102A (en) Direct torque control method and system for permanent magnet synchronous motor
CN112039394A (en) PMSM servo control system based on fuzzy active disturbance rejection
CN116094390A (en) Two-degree-of-freedom speed regulation method of asynchronous motor based on novel active disturbance rejection algorithm
CN114944801A (en) PMSM (permanent magnet synchronous motor) position sensorless control method based on innovation self-adaptive extended Kalman
CN108429501B (en) Method for observing load disturbance of permanent magnet synchronous motor
CN109150043A (en) Electric voltage feed forward compensation method in AC servo electric current loop
Mirzaeva et al. The effect of flux optimization on energy efficiency of induction motors in fan and pump applications
CN112241121A (en) PMSM self-tuning control system based on fuzzy PID
CN112003523A (en) Method for improving speed estimation stability of permanent magnet synchronous linear motor
He et al. Research on active disturbance rejection control of induction motor
CN115313931A (en) Sensor-free vector control method of permanent magnet synchronous motor based on AEKF
CN113824376A (en) Cogging torque compensation method for permanent magnet synchronous servo motor
CN116526912A (en) Super-rotating algorithm-based asynchronous motor rotor flux linkage observation method
Lin et al. Sensorless inverter‐fed compressor drive system using back‐EMF estimator with PIDNN torque observer
CN111208728A (en) Linear active disturbance rejection control method, device equipment and storage medium
CN112152528B (en) Permanent magnet synchronous motor speed regulation control method based on self-adaptive terminal sliding mode

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination