CN105450108B - A kind of energy converting between mechanical switched reluctance machines analogy method - Google Patents

A kind of energy converting between mechanical switched reluctance machines analogy method Download PDF

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CN105450108B
CN105450108B CN201510802148.1A CN201510802148A CN105450108B CN 105450108 B CN105450108 B CN 105450108B CN 201510802148 A CN201510802148 A CN 201510802148A CN 105450108 B CN105450108 B CN 105450108B
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switched reluctance
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reluctance machines
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CN105450108A (en
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陈昊
梁燕
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China University of Mining and Technology CUMT
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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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Abstract

A kind of energy converting between mechanical switched reluctance machines analogy method, suitable for various number of phases switched reluctance machines.Using the inductance inverse module of three operational amplifiers, three current transmission devices, digital processing chip and analog/digital converter and digital/analog converter composition, a multiplier, nine resistance, an electric capacity, composition switched reluctance machines phase winding simulator.The circuit simulation method is simple, can realize switched reluctance motor system circuit simulation, real-time simulation controls with real-time, calculate fast, accurate height, be not take up memory space, laid the foundation for disappear pulsation, position Sensorless Control of switched reluctance motor system output torque, there is important theory value and wide application prospect.

Description

A kind of energy converting between mechanical switched reluctance machines analogy method
Technical field
The present invention relates to a kind of energy converting between mechanical switched reluctance machines analogy method, and be particularly suitable for use in various number of phases switches Reluctance motor.
Background technology
Accurate switched reluctance motor system model is for assessing motor performance, optimization design of electrical motor, design high-performance control Device processed, eliminate torque pulsation and realize that position Sensorless Control is significant.Switched reluctance motor system model is based on Electric potential balancing equation and torque balance equation and establish, its crucial simulation for being electromagnetic property with difficult point.At present, switch Reluctance motor phase winding analogy method has:Coupled field-circuit method, it is that Electromagnetic Field point has been coupled in each analogue simulation step-length Analysis and winding circuit analysis, it is impossible to realize real-time analog simulation;Analytic expression method, by summary and induction survey or through finite element meter The magnetic linkage family of curves feature drawn, function parameter is determined by a small amount of known magnetic linkage data with binary fitting function, reconstruct is entirely To the Nonlinear Mapping of magnetic linkage, simulation precision is also contradictory with calculating the time, can not realize for the continuous position of scope and electric current Real-time analog simulation;Look-up interpolations and neural network, some discrete position angles magnetic linkage corresponding with electric current is obtained first Data, magnetic linkage is established to position and the two-dimensional table of electric current, is then appointed by the neutral net output after table look-up interpolation or training Magnetic linkage corresponding to meaning position and any electric current, under conditions of known motor structure and material parameter, FInite Element meter can be used Calculation draws magnetic linkage data, the motor for not providing relevant parameter, then needs to obtain magnetic linkage or inductive data by testing to measure, The simulation precision of this method depends primarily on sample magnetic linkage data, it is also difficult to realizes high-precision real-time analog simulation;Equivalent magnetic Network technique, the magnetic line of force route characteristic drawn by analysis finite element method, establish the equivalent magnetic circuit network of motor, application circuit Analysis method calculates magnetic linkage, but to improve accuracy of detection, it is necessary to establish and consider alternate mutual inductance, to build three-dimensional or multi-dimensional table Lattice, i.e., current phase current, position, other mappings of phase mutual inductance to magnetic linkage, but huge amount of calculation reduces its practicality.Shen Please number be:201510247960.2 a kind of Modeling of Switched Reluctance Motors method is disclosed, to switched reluctance machines average torque Simulation error is within 3.9%, to the simulation error of switched reluctance machines rotating speed within 0.16%.Therefore, it is badly in need of establishing mould Intend accurate height, calculate switched reluctance machines phase winding simulator that is fast, being not take up memory space, realize switched reluctance motor system High-precision real-time simulation with real time control.
The content of the invention
The purpose of the present invention is to be directed to problems of the prior art, there is provided a kind of method is simple, can realize switch magnetic Hinder the switched reluctance machines analogy method of electric system circuit simulation.
To achieve the above object, energy converting between mechanical switched reluctance machines analogy method of the invention, including using switch Reluctance motor phase winding simulator, switched reluctance machines phase winding simulator include three operational amplifiers U1, U2 and U3, three Current transmission device U4, U5 and U6, inductance inverse module, a multiplier U7, nine resistance R1, R2, R3, R4, R5, R6, R7, Rd And RSWith an electric capacity Ci, input port is A and B;Input port A passes through resistance RSIt is same mutually defeated with operational amplifier U1 respectively Inbound port+be connected with current transmission device U4 port z, input port B pass with current transmission device U5 port z and electric current respectively Defeated device U6 port y is connected, operational amplifier U1 output port O respectively with operational amplifier U1 anti-phase input port- With resistance R1One end be connected, resistance R1The other end anti-phase input port-with operational amplifier U2 and resistance R respectively3One End is connected, operational amplifier U2 homophase input port+respectively and resistance R2With resistance R4One end be connected, resistance R4's The other end is grounded, resistance R2The other end be connected with current transmission device U6 port x, operational amplifier U2 output port O Respectively with resistance R3The other end and resistance R5One end be connected, resistance R5The other end it is anti-with operational amplifier U3 respectively Phase input port-and electric capacity CiOne end be connected, operational amplifier U3 homophase input port+ground connection, current transmission device U4 Port y ground connection, current transmission device U4 port x is connected by resistance Rd with current transmission device U5 port x, and electric current transmits Device U6 port z ground connection, switched reluctance machines analogy method are as follows:
By operational amplifier U3 output port O respectively with electric capacity CiThe other end and multiplier U7 x1Port is connected, Current transmission device U5 port y is connected with multiplier U7 w ports, multiplier U7 x2Port is grounded, multiplier U7 y2 Port is grounded, and resistance R6 one end is connected with multiplier U7 w ports, the resistance R6 other end and multiplier U7 z ends Mouth is connected, resistance R7One end be connected with multiplier U7 z ports, resistance R7 other end ground connection, by inductance inverse mould The output end O and multiplier U7 of block y1Port is connected, and the output voltage values of inductance inverse module are vy, inductance inverse module Input be electric machine phase current instantaneous value i and motor rotor position value θ;Electromechanical energy is simulated by switched reluctance machines equivalent model Change-over switch reluctance motor variable inductance L values and electric machine phase current instantaneous value i and motor rotor position value theta function relation, inductance The variable inductance L values of module reciprocal are drawn by following formula:
In formula:R1, R3, R5, R6, R7, Rd are resistance value, CiFor capacitance, vyFor magnitude of voltage, magnitude of voltage vyFor motor phase Current instantaneous value i and rotor position θ function;
Circuit model between input port A and input port B is equivalent to the variable inductance L of resistance Rs and motor string Connection, is built into switched reluctance machines phase winding equivalent simulation device, resistance Rs analog switch reluctance motor phase winding resistances can power transformation Feel L analog switch reluctance motor phase winding inductance, switched reluctance machines phase winding inductance is motor rotor position and phase current Function, obtain switched reluctance machines equivalent model.
Described inductance inverse module is by digital processing chip, analog/digital converter ADC, digital/analog converter DAC is formed, and analog/digital converter ADC input is electric machine phase current instantaneous value i and motor rotor position value θ, simulation/number The input phase of word converter ADC output end connection digital processing chip, output end connection numeral/mould of digital processing chip Intend converter DAC input phase, digital/analog converter DAC output is magnitude of voltage vy
Beneficial effect:The present invention is using operational amplifier, current transmission device, inductance inverse module, multiplier, resistance, electricity Appearance build switched reluctance machines phase winding simulator, can realize switched reluctance motor system circuit simulation, real-time simulation with real time Control, calculate it is fast, accurate it is high, be not take up memory space, to the simulation error of switched reluctance machines average torque 0.34% with It is interior, to the simulation error of switched reluctance machines rotating speed within 0.09%.For switched reluctance motor system output torque disappear pulsation, Position Sensorless Control lays the foundation, and has important theory value and wide commercial application prospect.
Brief description of the drawings
Fig. 1 is the switched reluctance machines phase winding simulator circuit diagram of the present invention.
Fig. 2 is the switched reluctance machines phase voltage U that the switched reluctance machines phase winding simulator of the present invention is reappearedA', phase Electric current iA' and magnetic linkage ψA' waveform.
Embodiment
One embodiment of the present of invention is further described below in conjunction with the accompanying drawings:
As shown in figure 1, switched reluctance machines analogy method, including switched reluctance machines phase winding simulator is used, switch Reluctance motor phase winding simulator is using three operational amplifier U1, U2 and U3, three current transmission devices U4, U5 and U6, inductance Module reciprocal, a model AD633 multiplier U7, nine resistance R1, R2, R3, R4, R5, R6, R7, RdAnd RSAnd one Electric capacity Ci, input port is A and B;
Input port A is passed through into resistance RSHomophase input port+with operational amplifier U1 and current transmission device U4 respectively Port z be connected, port y of the input port B respectively with current transmission device U5 port z and current transmission device U6 is connected, Operational amplifier U1 output port O the anti-phase input port-with operational amplifier U1 and resistance R respectively1One end be connected, electricity Hinder R1The other end anti-phase input port-with operational amplifier U2 and resistance R respectively3One end be connected, operational amplifier U2 Homophase input port+respectively and resistance R2With resistance R4One end be connected, resistance R4The other end ground connection, resistance R2It is another One end is connected with current transmission device U6 port x, operational amplifier U2 output port O respectively with resistance R3The other end and Resistance R5One end be connected, resistance R5The other end anti-phase input port-with operational amplifier U3 and electric capacity C respectivelyiOne End is connected, operational amplifier U3 homophase input port+ground connection, current transmission device U4 port y ground connection, current transmission device U4 Port x be connected by resistance Rd with current transmission device U5 port x, current transmission device U6 port z ground connection, by input Circuit model between mouth A and input port B is equivalent to resistance RsWith connecting for the variable inductance L of motor, switch magnetic is built into Hinder motor phase windings equivalent simulation device, resistance RsAnalog switch reluctance motor phase winding resistance, variable inductance L analog switch magnetic resistance Motor phase windings inductance, switched reluctance machines phase winding inductance are the functions of motor rotor position and phase current, obtain switching magnetic Motor equivalent model is hindered, energy converting between mechanical switched reluctance machines variable inductance L values are simulated by switched reluctance machines equivalent model With electric machine phase current instantaneous value i and motor rotor position value theta function relation:
(1) by operational amplifier U3 output port O respectively with electric capacity CiThe other end and multiplier U7 x1Port is connected Connect, current transmission device U5 port y and multiplier U7 w ports are connected, multiplier U7 x2Port is grounded, multiplier U7's y2Port is grounded, and resistance R6 one end is connected with multiplier U7 w ports, the resistance R6 other end and multiplier U7 z ends Mouth is connected, and resistance R7 one end is connected with multiplier U7 z ports, resistance R7 other end ground connection, inductance inverse module Output end O and multiplier U7 y1Port is connected, and the output voltage values of inductance inverse module are vy, inductance inverse module Input is electric machine phase current instantaneous value i and motor rotor position value θ;
(2) the variable inductance L values of inductance inverse module can be expressed as:
In formula, R1, R3, R5, R6, R7, Rd are corresponding resistance value, and Ci is corresponding capacitance.Magnitude of voltage vyIt is motor Phase current instantaneous value i and rotor position θ function.
Circuit model between input port A and input port B is equivalent to the variable inductance L of resistance Rs and motor string Connection, is built into switched reluctance machines phase winding equivalent simulation device, resistance Rs analog switch reluctance motor phase winding resistances can power transformation Feel L analog switch reluctance motor phase winding inductance, switched reluctance machines phase winding inductance is motor rotor position and phase current Function, obtain switched reluctance machines equivalent model.
The inductance inverse module is by digital processing chip, analog/digital converter ADC, digital/analog converter DAC Form, analog/digital converter ADC input is electric machine phase current instantaneous value i and motor rotor position value θ, and analog/digital turns Parallel operation ADC output end is connected with the input of digital processing chip, and output end and the digital-to-analog of digital processing chip turn Parallel operation DAC input is connected, and digital/analog converter DAC output is magnitude of voltage vy
Fig. 2 is the switched reluctance machines phase voltage U of the switched reluctance machines phase winding simulator simulation of the present inventionA', mutually electricity Flow iA' and magnetic linkage ψA' waveform.As shown in Figure 2, the switched reluctance machines phase winding simulator established, electromechanical energy can be simulated and turned Switched reluctance machines variable inductance L values are changed to open with electric machine phase current instantaneous value i and motor rotor position value theta function relation, realization Reluctance motor system circuit simulation, real-time simulation and real-time control are closed, fast, accurate height is calculated, is not take up memory space, solve Contradiction between switched reluctance motor system analogue simulation cost and real-time, switched reluctance motor system output torque can be made to disappear Pulsation, position Sensorless Control are accurately high.

Claims (2)

1. a kind of energy converting between mechanical switched reluctance machines analogy method, including switched reluctance machines phase winding simulator is used, Switched reluctance machines phase winding simulator include three operational amplifiers U1, U2 and U3, three current transmission devices U4, U5 and U6, Inductance inverse module, a multiplier U7, nine resistance R1, R2, R3, R4, R5, R6, R7, Rd、RSWith an electric capacity Ci, input Port is A and B;Input port A passes through resistance RSHomophase input port+with operational amplifier U1 and current transmission device U4 respectively Port z be connected, port y of the input port B respectively with current transmission device U5 port z and current transmission device U6 is connected, Operational amplifier U1 output port O the anti-phase input port-with operational amplifier U1 and resistance R respectively1One end be connected, electricity Hinder R1The other end anti-phase input port-with operational amplifier U2 and resistance R respectively3One end be connected, operational amplifier U2 Homophase input port+respectively and resistance R2With resistance R4One end be connected, resistance R4The other end ground connection, resistance R2It is another One end is connected with current transmission device U6 port x, operational amplifier U2 output port O respectively with resistance R3The other end and Resistance R5One end be connected, resistance R5The other end anti-phase input port-with operational amplifier U3 and electric capacity C respectivelyiOne End is connected, operational amplifier U3 homophase input port+ground connection, current transmission device U4 port y ground connection, current transmission device U4 Port x be connected by resistance Rd with current transmission device U5 port x, current transmission device U6 port z ground connection, its feature exists In:
By operational amplifier U3 output port O respectively with electric capacity CiThe other end and multiplier U7 x1Port is connected, by electricity Streaming device U5 port y and multiplier U7 w ports are connected, multiplier U7 x2Port is grounded, multiplier U7 y2Port Ground connection, resistance R6 one end is connected with multiplier U7 w ports, the resistance R6 other end and multiplier U7 z ports phase Connection, resistance R7One end be connected with multiplier U7 z ports, resistance R7 other end ground connection, by inductance inverse module Output end O and multiplier U7 y1Port is connected, and the output voltage values of inductance inverse module are vy, inductance inverse module it is defeated Enter for electric machine phase current instantaneous value i and motor rotor position value θ;Energy converting between mechanical is simulated by switched reluctance machines equivalent model Switched reluctance machines variable inductance L values and electric machine phase current instantaneous value i and motor rotor position value theta function relation, inductance are reciprocal The variable inductance L values of module are drawn by following formula:
<mrow> <mi>L</mi> <mo>=</mo> <mfrac> <mrow> <mn>10</mn> <msub> <mi>R</mi> <mn>6</mn> </msub> <msub> <mi>R</mi> <mi>d</mi> </msub> <msub> <mi>R</mi> <mn>1</mn> </msub> <msub> <mi>R</mi> <mn>5</mn> </msub> <msub> <mi>C</mi> <mi>i</mi> </msub> </mrow> <mrow> <msub> <mi>R</mi> <mn>3</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>R</mi> <mn>6</mn> </msub> <mo>+</mo> <msub> <mi>R</mi> <mn>7</mn> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&amp;CenterDot;</mo> <mfrac> <mn>1</mn> <msub> <mi>v</mi> <mi>y</mi> </msub> </mfrac> </mrow>
In formula:R1, R3, R5, R6, R7, Rd are resistance value, CiFor capacitance, vyFor magnitude of voltage, magnitude of voltage vyFor electric machine phase current Instantaneous value i and rotor position θ function;
Circuit model between input port A and input port B is equivalent to connecting for resistance Rs and the variable inductance L of motor, It is built into switched reluctance machines phase winding equivalent simulation device, resistance Rs analog switch reluctance motor phase winding resistances, variable inductance L Analog switch reluctance motor phase winding inductance, switched reluctance machines phase winding inductance are the letters of motor rotor position and phase current Number, obtains switched reluctance machines equivalent model.
2. energy converting between mechanical switched reluctance machines analogy method according to claim 1, it is characterised in that:Described electricity Feel module reciprocal to be made up of digital processing chip, analog/digital converter ADC, digital/analog converter DAC, analog/digital Converter ADC input is electric machine phase current instantaneous value i and motor rotor position value θ, analog/digital converter ADC output The input phase of end connection digital processing chip, the output end connection digital/analog converter DAC of digital processing chip input Phase is held, digital/analog converter DAC output is magnitude of voltage vy
CN201510802148.1A 2015-11-19 2015-11-19 A kind of energy converting between mechanical switched reluctance machines analogy method Active CN105450108B (en)

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PCT/CN2015/096786 WO2017084126A1 (en) 2015-11-19 2015-12-09 Electromechanical energy conversion switched reluctance motor simulation method
AU2015414867A AU2015414867B2 (en) 2015-11-19 2015-12-09 Electromechanical energy conversion switched reluctance motor simulation method

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EP1357275A1 (en) * 2002-04-26 2003-10-29 Visteon Global Technologies, Inc. Modelling of the thermal behaviour of a switched reluctance motor driving a supercharger of an internal combustion engine
CN102916632B (en) * 2012-10-22 2015-04-29 中国矿业大学 Linear modeling method of switch reluctance motor memristor
CN103095191B (en) * 2013-01-29 2014-12-10 中国矿业大学 Switch reluctance motor memory sensor model modeling method
CN103490697B (en) * 2013-09-18 2015-11-25 中国矿业大学 A kind of switch reluctance motor memory inductor equivalent model
CN103795317B (en) * 2013-12-31 2016-06-01 清华大学 Based on the Controlling System of synchronous machine model
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