WO2017084126A1 - Electromechanical energy conversion switched reluctance motor simulation method - Google Patents

Electromechanical energy conversion switched reluctance motor simulation method Download PDF

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Publication number
WO2017084126A1
WO2017084126A1 PCT/CN2015/096786 CN2015096786W WO2017084126A1 WO 2017084126 A1 WO2017084126 A1 WO 2017084126A1 CN 2015096786 W CN2015096786 W CN 2015096786W WO 2017084126 A1 WO2017084126 A1 WO 2017084126A1
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port
resistor
reluctance motor
switched reluctance
inductance
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PCT/CN2015/096786
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French (fr)
Chinese (zh)
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陈昊
梁燕
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中国矿业大学
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Priority to AU2015414867A priority Critical patent/AU2015414867B2/en
Publication of WO2017084126A1 publication Critical patent/WO2017084126A1/en

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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P6/00Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
    • H02P6/34Modelling or simulation for control purposes

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  • the invention relates to an electromechanical energy conversion switch reluctance motor simulation method, and is particularly suitable for various phase number switched reluctance motors.
  • the phase winding simulation method of switched reluctance motor has: field-path coupling method, which is coupled with motor electromagnetic field analysis and winding circuit analysis in each simulation step, which can not realize real-time simulation; analytical method, through summary induction Or the finite element calculated magnetic chain curve family characteristics, using a binary fitting function to determine the function parameters from a small number of known flux linkage data, reconstructing a full range of continuous position and current nonlinear mapping of the flux linkage, The simulation accuracy and calculation time are also contradictory, and real-time simulation can not be realized.
  • the table interpolation method and the neural network method first obtain a number of discrete flux-correlation data corresponding to the position angle and current, and establish the two-dimensional position and current of the flux linkage.
  • the flux linkage data can be calculated using the finite element method.
  • the flux linkage or inductance data needs to be obtained through experimental measurement. The simulation accuracy of this method depends mainly on the sample.
  • Magnetic flux data is also difficult to achieve high-precision real-time simulation; equivalent magnetic network method, by analyzing the magnetic line path characteristics obtained by the finite element method, establishing the equivalent magnetic circuit network of the motor, applying the circuit analysis method to calculate the flux linkage, but In order to improve the detection accuracy, it is necessary to establish the mutual inductance between the phases, and to construct a three-dimensional or multi-dimensional table, that is, the current phase current, position, and other mutual senses on the flux linkage. However, the huge amount of calculation reduces its practicability.
  • the application number is 201510247960.2. A modeling method of the switched reluctance motor is disclosed.
  • the simulation error of the average torque of the switched reluctance motor is within 3.9%, and the simulation error of the rotational speed of the switched reluctance motor is within 0.16%. Therefore, it is urgent to establish a switched reluctance motor phase winding simulator with accurate simulation, fast calculation and no storage space, so as to realize high-precision real-time simulation and real-time control of the switched reluctance motor system.
  • the object of the present invention is to provide a method for simulating a switched reluctance motor that is simple in method and can realize circuit simulation of a switched reluctance motor system in view of the problems existing in the prior art.
  • the electromechanical energy conversion switch reluctance motor simulation method of the invention comprises the use of a switched reluctance motor phase winding simulator, and the switched reluctance motor phase winding simulator comprises three operational amplifiers U1, U2 and U3, three current conveyor U4, U5 and U6, the reciprocal inductance module, a multiplier U7-AD633, nine resistors R1, R2, R3, R4, R5, R6, R7, R d , and one of R S and capacitor C i,
  • the input ports are A and B; the input port A is connected to the non-inverting input port of the operational amplifier U1 and the port z of the current transmitter U4 through the resistor R S , respectively, and the input port B and the port z of the current transmitter U5 and the current transmission y U6, the port is connected to the output port of the operational amplifier U1 is O respectively inverting input of operational amplifier U1 ports - one end of resistors R 1 and is connected to the other end of resistors R 1,
  • the non-inverting input port + of the operational amplifier U2 is connected to one end of the resistor R 2 and the resistor R 4 , the other end of the resistor R 4 is grounded, and the other end of the resistor R 2 is connected to the current transmitter U6 port x is connected.
  • the output of operational amplifier U2 O ports respectively connected to one end and the other end of the resistor R 5 of the resistor R 3, the other end of the resistor R 5, respectively, and the inverting input port of operational amplifier U3 - end of the capacitor C i and the phase Connection the non-inverting input port of the operational amplifier U3 + ground, the port y of the current transmitter U4 is grounded, the port x of the current transmitter U4 is connected to the port x of the current transmitter U5 through the resistor Rd, and the port z of the current transmitter U6 is grounded.
  • the output port O of the operational amplifier U3 is connected to the other end of the capacitor C i and the x 1 port of the multiplier U7-AD633, respectively, and the port y of the current transmitter U5 is connected to the w port of the multiplier U7-AD633, multiplication
  • the x 2 port of U7-AD633 is grounded, the y 2 port of multiplier U7-AD633 is grounded, one end of resistor R6 is connected to the w port of multiplier U7-AD633, and the other end of resistor R6 is connected with multiplier U7-AD633
  • the z ports are connected, one end of the resistor R 7 is connected to the z port of the multiplier U7-AD633, and the other end of the resistor R7 is grounded, and the output end O of the inductance reciprocal module is connected to the y 1 port of the multiplier U7-AD633,
  • the output voltage value of the inductance reciprocal module is v y
  • R1, R3, R5, R6, R7, Rd are resistance values
  • Ci is the capacitance value
  • vy is the voltage value
  • the voltage value vy is a function of the motor phase current instantaneous value i and the rotor position value ⁇ ;
  • the circuit model between the input port A and the input port B is equivalent to the series connection of the resistor Rs and the variable inductance L of the motor, and is constructed as an equivalent simulator of the phase reluctance of the switched reluctance motor, and the resistance Rs is simulated by the reluctance motor phase.
  • Winding resistance, variable inductance L simulates the phase winding inductance of the switched reluctance motor, and the phase winding inductance of the switched reluctance motor is a function of the rotor position and phase current of the motor, and the equivalent model of the switched reluctance motor is obtained.
  • the inductor reciprocal module is composed of a digital processing chip, an analog/digital converter ADC, and a digital/analog converter DAC.
  • the input of the analog/digital converter ADC is the motor phase current instantaneous value i and the motor rotor position value ⁇ , simulation/
  • the output of the digitizer ADC is connected to the input phase of the digital processing chip.
  • the output of the digital processing chip is connected to the input phase of the digital/analog converter DAC, and the output of the digital/analog converter DAC is the voltage value vy.
  • the present invention uses an operational amplifier, a current transmitter, an inductor reciprocal module, a multiplier, a resistor, and a capacitor to construct a switched reluctance motor phase winding simulator, which can realize circuit simulation, real-time simulation and real-time control of a switched reluctance motor system, and calculation Fast, accurate and high, does not occupy storage space, the analog error of the average torque of the switched reluctance motor is within 0.34%, and the simulation error of the rotational speed of the switched reluctance motor is within 0.09%. It lays a foundation for the output torque ripple pulsation and position sensorless control of the switched reluctance motor system, and has important theoretical value and broad industrial application prospects.
  • Figure 1 is a circuit diagram of a phase winding simulator of a switched reluctance motor of the present invention.
  • FIG 2 is a phase winding of a switched reluctance motor according to the present invention, the simulator reproduced switched reluctance motor phase voltages U A ', the phase currents i A' and flux ⁇ A 'waveform.
  • the switched reluctance motor simulation method includes the use of a switched reluctance motor phase winding simulator.
  • the switched reluctance motor phase winding simulator uses three operational amplifiers U1, U2 and U3, three current transmitters U4, U5 and U6, inductance reciprocal module, one multiplier U7-AD633, nine resistors R1, R2, R3, R4, R5, R6, R7, R d and R S , and a capacitor C i , the input port is A And B;
  • the input port A is respectively connected to the non-inverting input port of the operational amplifier U1 and the port z of the current transmitter U4 through the resistor R S , and the input port B is respectively connected to the port z of the current transmitter U5 and the port y of the current transmitter U6.
  • an output port of the operational amplifier U1 is O respectively inverting input port of operational amplifier U1 - and is connected to one end of resistors R 1, resistors R 1 and the other end of each operational amplifier U2 and the inverting input port - and the resistor R 3 One end is connected, the non-inverting input port of the operational amplifier U2 is connected to one end of the resistor R 2 and the resistor R 4 , the other end of the resistor R 4 is grounded, and the other end of the resistor R 2 is connected to the port x of the current transmitter U6.
  • the non-inverting input port of the operational amplifier U3 is grounded, the port y of the current transmitter U4 is grounded, and the port x of the current transmitter U4 is connected to the port x of the current transmitter U5 through the resistor Rd, and the port z of the current transmitter U6 Grounding
  • the circuit model between input port A and input port B is equivalent to the series connection of the resistor R s and the variable inductance L of the motor, and is constructed as a phase reversal equivalent simulator of the switched reluctance motor, and an analog switch of the resistor R s Reluctance motor phase winding resistance, variable inductance L analog switched reluctance motor phase winding inductance, switched reluctance motor phase winding induct
  • the output port O of the operational amplifier U3 is connected to the other end of the capacitor C i and the x1 port of the multiplier U7-AD633, respectively, and the port y of the current transmitter U5 is connected to the w port of the multiplier U7-AD633,
  • the x2 port of the multiplier U7-AD633 is grounded, the y2 port of the multiplier U7-AD633 is grounded, one end of the resistor R6 is connected to the w port of the multiplier U7-AD633, the other end of the resistor R6 and the z port of the multiplier U7-AD633
  • one end of the resistor R7 is connected to the z port of the multiplier U7-AD633, the other end of the resistor R7 is grounded,
  • the output end O of the inductance reciprocal module is connected to the y1 port of the multiplier U7-AD633, and the output of the inductance reciprocal module
  • the voltage value is v y , and the input of the
  • variable inductance L value of the inductance reciprocal module can be expressed as:
  • R1, R3, R5, R6, R7, Rd are the corresponding resistance values
  • Ci is the corresponding capacitance value.
  • the voltage value vy is a function of the motor phase current instantaneous value i and the rotor position value ⁇ .
  • the circuit model between the input port A and the input port B is equivalent to the series connection of the resistor Rs and the variable inductance L of the motor, and is constructed as an equivalent simulator of the phase reluctance of the switched reluctance motor, and the resistance Rs is simulated by the reluctance motor phase.
  • Winding resistance, variable inductance L simulates the phase winding inductance of the switched reluctance motor, and the phase winding inductance of the switched reluctance motor is a function of the rotor position and phase current of the motor, and the equivalent model of the switched reluctance motor is obtained.
  • the inductance reciprocal module is composed of a digital processing chip, an analog/digital converter ADC, and a digital/analog converter DAC.
  • the input of the analog/digital converter ADC is the motor phase current instantaneous value i and the motor rotor position value ⁇ , analog/digital
  • the output of the converter ADC is connected to the input of the digital processing chip, the output of the digital processing chip is connected to the input of the digital/analog converter DAC, and the output of the digital/analog converter DAC is the voltage value v y .
  • FIG. 2 switched reluctance motor phase voltages U A ', the phase currents i A' and flux ⁇ A 'waveform.
  • the established phase reluctance motor phase winding simulator can simulate the relationship between the variable inductance L value of the electromechanical energy conversion switch reluctance motor and the motor phase current instantaneous value i and the motor rotor position value ⁇ .

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

Abstract

A simulation method of electromechanical energy conversion switched reluctance motor, is suitable for switched reluctance motors with various phases. A switched reluctance motor phase winding simulator is composed of three operational amplifiers, three current transmitters, an inductance reciprocal module composed of a digital processing chip, an analog/digital converter, and a digital/analog converter, a multiplier, nine resistors, and a capacitor. The circuit simulation method is simple, can realize circuit simulation, real-time simulation and real-time control of the switched reluctance motor system, is high in calculation speed, is high in precision, does not occupy the storage space, lays a foundation for the pulsation elimination of output torque the switched reluctance motor system and the control of a no-position sensor, has important theoretical value and broad application prospect.

Description

一种机电能量转换开关磁阻电机模拟方法Electromechanical energy conversion switch reluctance motor simulation method 技术领域Technical field
本发明涉及一种机电能量转换开关磁阻电机模拟方法,尤其适用于各种相数开关磁阻电机。The invention relates to an electromechanical energy conversion switch reluctance motor simulation method, and is particularly suitable for various phase number switched reluctance motors.
背景技术Background technique
精确的开关磁阻电机系统模型对于评估电机性能、优化电机设计、设计高性能控制器、消除转矩脉动及实现无位置传感器控制具有重要意义。开关磁阻电机系统模型基于电势平衡方程式和转矩平衡方程式而建立,其关键与难点在于电磁特性的模拟。目前,开关磁阻电机相绕组模拟方法有:场路耦合法,是在每个仿真模拟步长内耦合了电机电磁场分析和绕组电路分析,不能实现实时仿真模拟;解析式法,通过总结归纳实测的或经有限元计算得出的磁链曲线族特征,用二元拟合函数由少量已知的磁链数据确定函数参数,重构全范围连续的位置和电流对磁链的非线性映射,模拟精度与计算时间亦有矛盾,也不能实现实时仿真模拟;查表插值法和神经网络法,首先获取若干离散的位置角与电流对应的磁链数据,建立磁链对位置和电流的二维表格,然后通过查表插值或训练后的神经网络输出任意位置和任意电流对应的磁链,在已知电机结构和材料参数的条件下,可使用有限元法计算得出磁链数据,对于未给出相关参数的电机,则需要通过实验测量获取磁链或电感数据,该方法的模拟精度主要取决于样本磁链数据,也难以实现高精度的实时仿真模拟;等效磁网络法,通过分析有限元方法得出的磁力线路径特征,建立电机的等效磁路网络,应用电路分析方法计算磁链,但为提高检测精度,有必要建立考虑相间互感,要构建三维或多维表格,即当前相电流、位置、其他相互感对磁链的映射,然而庞大的计算量降低了其实用性。申请号为:201510247960.2公开了一种开关磁阻电机建模方法,对开关磁阻电机平均转矩的模拟误差在3.9%以内,对开关磁阻电机转速的模拟误差在0.16%以内。因此,急需建立模拟精确高、计算快、不占用存储空间的开关磁阻电机相绕组模拟器,实现开关磁阻电机系统的高精度实时仿真与实时控制。Accurate switched reluctance motor system models are important for evaluating motor performance, optimizing motor design, designing high-performance controllers, eliminating torque ripple, and achieving position sensorless control. The switched reluctance motor system model is based on the potential balance equation and the torque balance equation. The key and difficult point is the simulation of electromagnetic characteristics. At present, the phase winding simulation method of switched reluctance motor has: field-path coupling method, which is coupled with motor electromagnetic field analysis and winding circuit analysis in each simulation step, which can not realize real-time simulation; analytical method, through summary induction Or the finite element calculated magnetic chain curve family characteristics, using a binary fitting function to determine the function parameters from a small number of known flux linkage data, reconstructing a full range of continuous position and current nonlinear mapping of the flux linkage, The simulation accuracy and calculation time are also contradictory, and real-time simulation can not be realized. The table interpolation method and the neural network method first obtain a number of discrete flux-correlation data corresponding to the position angle and current, and establish the two-dimensional position and current of the flux linkage. The table, and then through the table interpolation or trained neural network to output the magnetic flux corresponding to any position and any current, under the condition of known motor structure and material parameters, the flux linkage data can be calculated using the finite element method. For the motor with relevant parameters, the flux linkage or inductance data needs to be obtained through experimental measurement. The simulation accuracy of this method depends mainly on the sample. Magnetic flux data is also difficult to achieve high-precision real-time simulation; equivalent magnetic network method, by analyzing the magnetic line path characteristics obtained by the finite element method, establishing the equivalent magnetic circuit network of the motor, applying the circuit analysis method to calculate the flux linkage, but In order to improve the detection accuracy, it is necessary to establish the mutual inductance between the phases, and to construct a three-dimensional or multi-dimensional table, that is, the current phase current, position, and other mutual senses on the flux linkage. However, the huge amount of calculation reduces its practicability. The application number is 201510247960.2. A modeling method of the switched reluctance motor is disclosed. The simulation error of the average torque of the switched reluctance motor is within 3.9%, and the simulation error of the rotational speed of the switched reluctance motor is within 0.16%. Therefore, it is urgent to establish a switched reluctance motor phase winding simulator with accurate simulation, fast calculation and no storage space, so as to realize high-precision real-time simulation and real-time control of the switched reluctance motor system.
发明内容Summary of the invention
本发明的目的是针对现有技术中存在的问题,提供一种方法简单、能实现开关磁阻电机系统电路仿真的开关磁阻电机模拟方法。The object of the present invention is to provide a method for simulating a switched reluctance motor that is simple in method and can realize circuit simulation of a switched reluctance motor system in view of the problems existing in the prior art.
为实现上述目的,本发明的机电能量转换开关磁阻电机模拟方法,包括采用开关磁阻电机相绕组模拟器,开关磁阻电机相绕组模拟器包括三只运算放大器U1、U2和U3、三只电流传输器U4、U5和U6、电感倒数模块、一只乘法器U7-AD633、九只电阻R1、R2、R3、R4、R5、R6、R7、Rd和RS和一只电容Ci,输入端口为A和B;输入端口A通过电阻RS分别与运算放大器U1的同相输入端口+和电流传输器U4的端口z相连接, 输入端口B分别与电流传输器U5的端口z和电流传输器U6的端口y相连接,运算放大器U1的输出端口O分别与运算放大器U1的反相输入端口-和电阻R1的一端相连,电阻R1的另一端分别与运算放大器U2的反相输入端口-和电阻R3的一端相连接,运算放大器U2的同相输入端口+分别与电阻R2和电阻R4的一端相连接,电阻R4的另一端接地,电阻R2的另一端与电流传输器U6的端口x相连接,运算放大器U2的输出端口O分别与电阻R3的另一端和电阻R5的一端相连接,电阻R5的另一端分别与运算放大器U3的反相输入端口-和电容Ci的一端相连接,运算放大器U3的同相输入端口+接地,电流传输器U4的端口y接地,电流传输器U4的端口x通过电阻Rd与电流传输器U5的端口x相连接,电流传输器U6的端口z接地,开关磁阻电机模拟方法如下:In order to achieve the above object, the electromechanical energy conversion switch reluctance motor simulation method of the invention comprises the use of a switched reluctance motor phase winding simulator, and the switched reluctance motor phase winding simulator comprises three operational amplifiers U1, U2 and U3, three current conveyor U4, U5 and U6, the reciprocal inductance module, a multiplier U7-AD633, nine resistors R1, R2, R3, R4, R5, R6, R7, R d , and one of R S and capacitor C i, The input ports are A and B; the input port A is connected to the non-inverting input port of the operational amplifier U1 and the port z of the current transmitter U4 through the resistor R S , respectively, and the input port B and the port z of the current transmitter U5 and the current transmission y U6, the port is connected to the output port of the operational amplifier U1 is O respectively inverting input of operational amplifier U1 ports - one end of resistors R 1 and is connected to the other end of resistors R 1, respectively, the inverting input port of the operational amplifier U2. - connected to one end of the resistor R 3 , the non-inverting input port + of the operational amplifier U2 is connected to one end of the resistor R 2 and the resistor R 4 , the other end of the resistor R 4 is grounded, and the other end of the resistor R 2 is connected to the current transmitter U6 port x is connected Then, the output of operational amplifier U2 O ports respectively connected to one end and the other end of the resistor R 5 of the resistor R 3, the other end of the resistor R 5, respectively, and the inverting input port of operational amplifier U3 - end of the capacitor C i and the phase Connection, the non-inverting input port of the operational amplifier U3 + ground, the port y of the current transmitter U4 is grounded, the port x of the current transmitter U4 is connected to the port x of the current transmitter U5 through the resistor Rd, and the port z of the current transmitter U6 is grounded The simulation method of the switched reluctance motor is as follows:
将运算放大器U3的输出端口O分别与电容Ci的另一端和乘法器U7-AD633的x1端口相连接,将电流传输器U5的端口y与乘法器U7-AD633的w端口相连接,乘法器U7-AD633的x2端口接地,乘法器U7-AD633的y2端口接地,将电阻R6的一端与乘法器U7-AD633的w端口相连接,电阻R6的另一端与乘法器U7-AD633的z端口相连接,电阻R7的一端和乘法器U7-AD633的z端口相连接,电阻R7的另一端接地,将电感倒数模块的输出端O与乘法器U7-AD633的y1端口相连接,电感倒数模块的输出电压值为vy,电感倒数模块的输入为电机相电流瞬时值i和电机转子位置值θ;由开关磁阻电机等效模型模拟机电能量转换开关磁阻电机可变电感L值与电机相电流瞬时值i和电机转子位置值θ函数关系,电感倒数模块的可变电感L值由下式得出:The output port O of the operational amplifier U3 is connected to the other end of the capacitor C i and the x 1 port of the multiplier U7-AD633, respectively, and the port y of the current transmitter U5 is connected to the w port of the multiplier U7-AD633, multiplication The x 2 port of U7-AD633 is grounded, the y 2 port of multiplier U7-AD633 is grounded, one end of resistor R6 is connected to the w port of multiplier U7-AD633, and the other end of resistor R6 is connected with multiplier U7-AD633 The z ports are connected, one end of the resistor R 7 is connected to the z port of the multiplier U7-AD633, and the other end of the resistor R7 is grounded, and the output end O of the inductance reciprocal module is connected to the y 1 port of the multiplier U7-AD633, The output voltage value of the inductance reciprocal module is v y , the input of the inductance reciprocal module is the motor phase current instantaneous value i and the motor rotor position value θ; the equivalent model of the switched reluctance motor simulates the electromechanical energy conversion switch reluctance motor variable inductance The L value is related to the motor phase current instantaneous value i and the motor rotor position value θ. The variable inductance L value of the inductance reciprocal module is obtained by:
Figure PCTCN2015096786-appb-000001
Figure PCTCN2015096786-appb-000001
式中:R1、R3、R5、R6、R7、Rd为电阻值,Ci为电容值,vy为电压值,电压值vy为电机相电流瞬时值i和转子位置值θ的函数;Where: R1, R3, R5, R6, R7, Rd are resistance values, Ci is the capacitance value, vy is the voltage value, and the voltage value vy is a function of the motor phase current instantaneous value i and the rotor position value θ;
将输入端口A和输入端口B之间的电路模型等效为电阻Rs与电机的可变电感L的串联,构建成开关磁阻电机相绕组等效模拟器,电阻Rs模拟开关磁阻电机相绕组电阻,可变电感L模拟开关磁阻电机相绕组电感,开关磁阻电机相绕组电感是电机转子位置和相电流的函数,得到开关磁阻电机等效模型。The circuit model between the input port A and the input port B is equivalent to the series connection of the resistor Rs and the variable inductance L of the motor, and is constructed as an equivalent simulator of the phase reluctance of the switched reluctance motor, and the resistance Rs is simulated by the reluctance motor phase. Winding resistance, variable inductance L simulates the phase winding inductance of the switched reluctance motor, and the phase winding inductance of the switched reluctance motor is a function of the rotor position and phase current of the motor, and the equivalent model of the switched reluctance motor is obtained.
所述的电感倒数模块由数字处理芯片、模拟/数字转换器ADC、数字/模拟转换器DAC构成,模拟/数字转换器ADC的输入为电机相电流瞬时值i和电机转子位置值θ,模拟/数字转换器ADC的输出端连接数字处理芯片的输入端相,数字处理芯片的输出端连接数字/模拟转换器DAC的输入端相,数字/模拟转换器DAC的输出为电压值vy。 The inductor reciprocal module is composed of a digital processing chip, an analog/digital converter ADC, and a digital/analog converter DAC. The input of the analog/digital converter ADC is the motor phase current instantaneous value i and the motor rotor position value θ, simulation/ The output of the digitizer ADC is connected to the input phase of the digital processing chip. The output of the digital processing chip is connected to the input phase of the digital/analog converter DAC, and the output of the digital/analog converter DAC is the voltage value vy.
有益效果:本发明采用运算放大器、电流传输器、电感倒数模块、乘法器、电阻、电容搭建开关磁阻电机相绕组模拟器,能实现开关磁阻电机系统电路仿真、实时仿真与实时控制,计算快、精确高、不占用存储空间,对开关磁阻电机平均转矩的模拟误差在0.34%以内,对开关磁阻电机转速的模拟误差在0.09%以内。为开关磁阻电机系统输出转矩消脉动、无位置传感器控制打下了基础,具有重要的理论价值和广阔的产业化应用前景。Advantageous Effects: The present invention uses an operational amplifier, a current transmitter, an inductor reciprocal module, a multiplier, a resistor, and a capacitor to construct a switched reluctance motor phase winding simulator, which can realize circuit simulation, real-time simulation and real-time control of a switched reluctance motor system, and calculation Fast, accurate and high, does not occupy storage space, the analog error of the average torque of the switched reluctance motor is within 0.34%, and the simulation error of the rotational speed of the switched reluctance motor is within 0.09%. It lays a foundation for the output torque ripple pulsation and position sensorless control of the switched reluctance motor system, and has important theoretical value and broad industrial application prospects.
附图说明DRAWINGS
图1是本发明的开关磁阻电机相绕组模拟器电路图。BRIEF DESCRIPTION OF THE DRAWINGS Figure 1 is a circuit diagram of a phase winding simulator of a switched reluctance motor of the present invention.
图2是本发明的开关磁阻电机相绕组模拟器所复现的开关磁阻电机相电压UA’、相电流iA’和磁链ψA’波形。FIG 2 is a phase winding of a switched reluctance motor according to the present invention, the simulator reproduced switched reluctance motor phase voltages U A ', the phase currents i A' and flux ψ A 'waveform.
具体实施方式detailed description
下面结合附图对本发明的一个实施例作进一步的描述:An embodiment of the present invention will be further described below with reference to the accompanying drawings:
如图1所示,开关磁阻电机模拟方法,包括采用开关磁阻电机相绕组模拟器,开关磁阻电机相绕组模拟器采用三只运算放大器U1、U2和U3,三只电流传输器U4、U5和U6,电感倒数模块,一只乘法器U7-AD633,九只电阻R1、R2、R3、R4、R5、R6、R7、Rd和RS、和一只电容Ci,输入端口为A和B;As shown in Figure 1, the switched reluctance motor simulation method includes the use of a switched reluctance motor phase winding simulator. The switched reluctance motor phase winding simulator uses three operational amplifiers U1, U2 and U3, three current transmitters U4, U5 and U6, inductance reciprocal module, one multiplier U7-AD633, nine resistors R1, R2, R3, R4, R5, R6, R7, R d and R S , and a capacitor C i , the input port is A And B;
将输入端口A通过电阻RS分别与运算放大器U1的同相输入端口+和电流传输器U4的端口z相连接,输入端口B分别与电流传输器U5的端口z和电流传输器U6的端口y相连接,运算放大器U1的输出端口O分别与运算放大器U1的反相输入端口-和电阻R1的一端相连,电阻R1的另一端分别与运算放大器U2的反相输入端口-和电阻R3的一端相连接,运算放大器U2的同相输入端口+分别与电阻R2和电阻R4的一端相连接,电阻R4的另一端接地,电阻R2的另一端与电流传输器U6的端口x相连接,运算放大器U2的输出端口O分别与电阻R3的另一端和电阻R5的一端相连接,电阻R5的另一端分别与运算放大器U3的反相输入端口-和电容Ci的一端相连接,运算放大器U3的同相输入端口+接地,电流传输器U4的端口y接地,电流传输器U4的端口x通过电阻Rd与电流传输器U5的端口x相连接,电流传输器U6的端口z接地,将输入端口A和输入端口B之间的电路模型等效为电阻Rs与电机的可变电感L的串联,构建成开关磁阻电机相绕组等效模拟器,电阻Rs模拟开关磁阻电机相绕组电阻,可变电感L模拟开关磁阻电机相绕组电感,开关磁阻电机相绕组电感是电机转子位置和相电流的函数,得到开关磁阻电机等效模型,由开关磁阻电机等效模型模拟机电能量转换开关磁阻电机可变电感L值与电机相电流瞬时值i和电机转子位置值θ函数关系: The input port A is respectively connected to the non-inverting input port of the operational amplifier U1 and the port z of the current transmitter U4 through the resistor R S , and the input port B is respectively connected to the port z of the current transmitter U5 and the port y of the current transmitter U6. connector, an output port of the operational amplifier U1 is O respectively inverting input port of operational amplifier U1 - and is connected to one end of resistors R 1, resistors R 1 and the other end of each operational amplifier U2 and the inverting input port - and the resistor R 3 One end is connected, the non-inverting input port of the operational amplifier U2 is connected to one end of the resistor R 2 and the resistor R 4 , the other end of the resistor R 4 is grounded, and the other end of the resistor R 2 is connected to the port x of the current transmitter U6. , the output of operational amplifier U2 O ports respectively connected to one end and the other end of the resistor R 5 of the resistor R 3, the other end of the resistor R 5, respectively, and the inverting input port of operational amplifier U3 - and one end of the capacitor C i is connected The non-inverting input port of the operational amplifier U3 is grounded, the port y of the current transmitter U4 is grounded, and the port x of the current transmitter U4 is connected to the port x of the current transmitter U5 through the resistor Rd, and the port z of the current transmitter U6 Grounding, the circuit model between input port A and input port B is equivalent to the series connection of the resistor R s and the variable inductance L of the motor, and is constructed as a phase reversal equivalent simulator of the switched reluctance motor, and an analog switch of the resistor R s Reluctance motor phase winding resistance, variable inductance L analog switched reluctance motor phase winding inductance, switched reluctance motor phase winding inductance is a function of motor rotor position and phase current, get the equivalent model of switched reluctance motor, by switching magnetic The equivalent model of the resistance motor simulates the relationship between the variable inductance L value of the electromechanical energy conversion switch reluctance motor and the instantaneous value i of the motor phase current and the motor rotor position value θ:
(1)将运算放大器U3的输出端口O分别与电容Ci的另一端和乘法器U7-AD633的x1端口相连接,电流传输器U5的端口y与乘法器U7-AD633的w端口相连接,乘法器U7-AD633的x2端口接地,乘法器U7-AD633的y2端口接地,电阻R6的一端和乘法器U7-AD633的w端口相连接,电阻R6的另一端和乘法器U7-AD633的z端口相连接,电阻R7的一端和乘法器U7-AD633的z端口相连接,电阻R7的另一端接地,电感倒数模块的输出端O与乘法器U7-AD633的y1端口相连接,电感倒数模块的输出电压值是vy,电感倒数模块的输入是电机相电流瞬时值i和电机转子位置值θ;(1) The output port O of the operational amplifier U3 is connected to the other end of the capacitor C i and the x1 port of the multiplier U7-AD633, respectively, and the port y of the current transmitter U5 is connected to the w port of the multiplier U7-AD633, The x2 port of the multiplier U7-AD633 is grounded, the y2 port of the multiplier U7-AD633 is grounded, one end of the resistor R6 is connected to the w port of the multiplier U7-AD633, the other end of the resistor R6 and the z port of the multiplier U7-AD633 Connected, one end of the resistor R7 is connected to the z port of the multiplier U7-AD633, the other end of the resistor R7 is grounded, the output end O of the inductance reciprocal module is connected to the y1 port of the multiplier U7-AD633, and the output of the inductance reciprocal module The voltage value is v y , and the input of the inductance reciprocal module is the motor phase current instantaneous value i and the motor rotor position value θ;
(2)电感倒数模块的可变电感L值可以表示为:(2) The variable inductance L value of the inductance reciprocal module can be expressed as:
Figure PCTCN2015096786-appb-000002
Figure PCTCN2015096786-appb-000002
式中,R1,R3,R5,R6,R7,Rd为相应的电阻值,Ci为相应的电容值。电压值vy是电机相电流瞬时值i和转子位置值θ的函数。Where R1, R3, R5, R6, R7, Rd are the corresponding resistance values, and Ci is the corresponding capacitance value. The voltage value vy is a function of the motor phase current instantaneous value i and the rotor position value θ.
将输入端口A和输入端口B之间的电路模型等效为电阻Rs与电机的可变电感L的串联,构建成开关磁阻电机相绕组等效模拟器,电阻Rs模拟开关磁阻电机相绕组电阻,可变电感L模拟开关磁阻电机相绕组电感,开关磁阻电机相绕组电感是电机转子位置和相电流的函数,得到开关磁阻电机等效模型。The circuit model between the input port A and the input port B is equivalent to the series connection of the resistor Rs and the variable inductance L of the motor, and is constructed as an equivalent simulator of the phase reluctance of the switched reluctance motor, and the resistance Rs is simulated by the reluctance motor phase. Winding resistance, variable inductance L simulates the phase winding inductance of the switched reluctance motor, and the phase winding inductance of the switched reluctance motor is a function of the rotor position and phase current of the motor, and the equivalent model of the switched reluctance motor is obtained.
所述电感倒数模块由数字处理芯片、模拟/数字转换器ADC、数字/模拟转换器DAC构成,模拟/数字转换器ADC的输入是电机相电流瞬时值i和电机转子位置值θ,模拟/数字转换器ADC的输出端与数字处理芯片的输入端相连接,数字处理芯片的输出端与数字/模拟转换器DAC的输入端相连接,数字/模拟转换器DAC的输出是电压值vyThe inductance reciprocal module is composed of a digital processing chip, an analog/digital converter ADC, and a digital/analog converter DAC. The input of the analog/digital converter ADC is the motor phase current instantaneous value i and the motor rotor position value θ, analog/digital The output of the converter ADC is connected to the input of the digital processing chip, the output of the digital processing chip is connected to the input of the digital/analog converter DAC, and the output of the digital/analog converter DAC is the voltage value v y .
图2为本发明的开关磁阻电机相绕组模拟器模拟的开关磁阻电机相电压UA’、相电流iA’和磁链ψA’波形。如图2可见,所建立的开关磁阻电机相绕组模拟器,能模拟机电能量转换开关磁阻电机可变电感L值与电机相电流瞬时值i和电机转子位置值θ函数关系,实现开关磁阻电机系统电路仿真、实时仿真与实时控制,计算快、精确高、不占用存储空间,解决了开关磁阻电机系统仿真模拟成本与实时性之间的矛盾,会使开关磁阻电机系统输出转矩消脉动、无位置传感器控制精确高。 Simulator simulates the phase windings of a switched reluctance motor of the present invention. FIG. 2 switched reluctance motor phase voltages U A ', the phase currents i A' and flux ψ A 'waveform. As can be seen from Fig. 2, the established phase reluctance motor phase winding simulator can simulate the relationship between the variable inductance L value of the electromechanical energy conversion switch reluctance motor and the motor phase current instantaneous value i and the motor rotor position value θ. Reluctance motor system circuit simulation, real-time simulation and real-time control, calculation fast, accurate high, does not occupy storage space, solves the contradiction between the simulation simulation cost and real-time performance of the switched reluctance motor system, will make the output of the switched reluctance motor system Torque elimination pulsation, no position sensor control is accurate and high.

Claims (2)

  1. 一种机电能量转换开关磁阻电机模拟方法,包括采用开关磁阻电机相绕组模拟器,开关磁阻电机相绕组模拟器包括三只运算放大器U1、U2和U3、三只电流传输器U4、U5和U6、电感倒数模块、一只乘法器U7-AD633、九只电阻R1、R2、R3、R4、R5、R6、R7、Rd、RS和一只电容Ci,输入端口为A和B;输入端口A通过电阻RS分别与运算放大器U1的同相输入端口+和电流传输器U4的端口z相连接,输入端口B分别与电流传输器U5的端口z和电流传输器U6的端口y相连接,运算放大器U1的输出端口O分别与运算放大器U1的反相输入端口-和电阻R1的一端相连,电阻R1的另一端分别与运算放大器U2的反相输入端口-和电阻R3的一端相连接,运算放大器U2的同相输入端口+分别与电阻R2和电阻R4的一端相连接,电阻R4的另一端接地,电阻R2的另一端与电流传输器U6的端口x相连接,运算放大器U2的输出端口O分别与电阻R3的另一端和电阻R5的一端相连接,电阻R5的另一端分别与运算放大器U3的反相输入端口-和电容Ci的一端相连接,运算放大器U3的同相输入端口+接地,电流传输器U4的端口y接地,电流传输器U4的端口x通过电阻Rd与电流传输器U5的端口x相连接,电流传输器U6的端口z接地,其特征在于:An electromechanical energy conversion switch reluctance motor simulation method, comprising a switched reluctance motor phase winding simulator, the switched reluctance motor phase winding simulator comprises three operational amplifiers U1, U2 and U3, three current transmitters U4, U5 And U6, inductance reciprocal module, a multiplier U7-AD633, nine resistors R1, R2, R3, R4, R5, R6, R7, R d , R S and a capacitor C i , the input ports are A and B The input port A is connected to the non-inverting input port of the operational amplifier U1 and the port z of the current transmitter U4 through the resistor R S , respectively, and the input port B is respectively connected to the port z of the current transmitter U5 and the port y of the current transmitter U6 connector, an output port of the operational amplifier U1 is O respectively inverting input port of operational amplifier U1 - and is connected to one end of resistors R 1, resistors R 1 and the other end of each operational amplifier U2 and the inverting input port - and the resistor R 3 One end is connected, the non-inverting input port of the operational amplifier U2 is connected to one end of the resistor R 2 and the resistor R 4 , the other end of the resistor R 4 is grounded, and the other end of the resistor R 2 is connected to the port x of the current transmitter U6. , the input of the operational amplifier U2 Port O are connected to one end of resistor R the other end of the resistor R 3 to 5, the other end of the resistor R 5, respectively, and the inverting input port of operational amplifier U3 - and one end of the capacitor C i is connected noninverting operational amplifier U3 The input port + ground, the port y of the current transmitter U4 is grounded, the port x of the current transmitter U4 is connected to the port x of the current transmitter U5 through the resistor Rd, and the port z of the current transmitter U6 is grounded, characterized in that:
    将运算放大器U3的输出端口O分别与电容Ci的另一端和乘法器U7-AD633的x1端口相连接,将电流传输器U5的端口y与乘法器U7-AD633的w端口相连接,乘法器U7-AD633的x2端口接地,乘法器U7-AD633的y2端口接地,将电阻R6的一端与乘法器U7-AD633的w端口相连接,电阻R6的另一端与乘法器U7-AD633的z端口相连接,电阻R7的一端和乘法器U7-AD633的z端口相连接,电阻R7的另一端接地,将电感倒数模块的输出端O与乘法器U7-AD633的y1端口相连接,电感倒数模块的输出电压值为vy,电感倒数模块的输入为电机相电流瞬时值i和电机转子位置值θ;由开关磁阻电机等效模型模拟机电能量转换开关磁阻电机可变电感L值与电机相电流瞬时值i和电机转子位置值θ函数关系,电感倒数模块的可变电感L值由下式得出:The output port O of the operational amplifier U3 is connected to the other end of the capacitor C i and the x 1 port of the multiplier U7-AD633, respectively, and the port y of the current transmitter U5 is connected to the w port of the multiplier U7-AD633, multiplication The x 2 port of U7-AD633 is grounded, the y 2 port of multiplier U7-AD633 is grounded, one end of resistor R6 is connected to the w port of multiplier U7-AD633, and the other end of resistor R6 is connected with multiplier U7-AD633 The z ports are connected, one end of the resistor R 7 is connected to the z port of the multiplier U7-AD633, and the other end of the resistor R7 is grounded, and the output end O of the inductance reciprocal module is connected to the y 1 port of the multiplier U7-AD633, The output voltage value of the inductance reciprocal module is v y , the input of the inductance reciprocal module is the motor phase current instantaneous value i and the motor rotor position value θ; the equivalent model of the switched reluctance motor simulates the electromechanical energy conversion switch reluctance motor variable inductance The L value is related to the motor phase current instantaneous value i and the motor rotor position value θ. The variable inductance L value of the inductance reciprocal module is obtained by:
    Figure PCTCN2015096786-appb-100001
    Figure PCTCN2015096786-appb-100001
    式中:R1、R3、R5、R6、R7、Rd为电阻值,Ci为电容值,vy为电压值,电压值vy为电机相电流瞬时值i和转子位置值θ的函数;Where: R1, R3, R5, R6, R7, Rd are resistance values, Ci is the capacitance value, vy is the voltage value, and the voltage value vy is a function of the motor phase current instantaneous value i and the rotor position value θ;
    将输入端口A和输入端口B之间的电路模型等效为电阻Rs与电机的可变电感L的串联,构建成开关磁阻电机相绕组等效模拟器,电阻Rs模拟开关磁阻电机相绕组电阻,可变电感L模拟开关磁阻电机相绕组电感,开关磁阻电机相绕组电感是电机转子位置和相 电流的函数,得到开关磁阻电机等效模型。The circuit model between the input port A and the input port B is equivalent to the series connection of the resistor Rs and the variable inductance L of the motor, and is constructed as an equivalent simulator of the phase reluctance of the switched reluctance motor, and the resistance Rs is simulated by the reluctance motor phase. Winding resistance, variable inductance L analog switched reluctance motor phase winding inductance, switched reluctance motor phase winding inductance is motor rotor position and phase The function of the current gives the equivalent model of the switched reluctance motor.
  2. 根据权利要求1所述的机电能量转换开关磁阻电机模拟方法,其特征在于:所述的电感倒数模块由数字处理芯片、模拟/数字转换器ADC、数字/模拟转换器DAC构成,模拟/数字转换器ADC的输入为电机相电流瞬时值i和电机转子位置值θ,模拟/数字转换器ADC的输出端连接数字处理芯片的输入端相,数字处理芯片的输出端连接数字/模拟转换器DAC的输入端相,数字/模拟转换器DAC的输出为电压值vy。 The electromechanical energy transfer switch reluctance motor simulation method according to claim 1, wherein the inductance reciprocal module is composed of a digital processing chip, an analog/digital converter ADC, and a digital/analog converter DAC, analog/digital. The input of the converter ADC is the motor phase current instantaneous value i and the motor rotor position value θ. The output of the analog/digital converter ADC is connected to the input phase of the digital processing chip, and the output of the digital processing chip is connected to the digital/analog converter DAC. The input phase of the digital/analog converter DAC is the voltage value vy.
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