CN107862167B - Switched reluctance motor modeling method considering instantaneous iron loss - Google Patents
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Abstract
The invention discloses a switched reluctance motor modeling method considering instantaneous iron loss, which is suitable for various phase number switched reluctance motors and belongs to the field of novel motor modeling. The model firstly establishes a finite element model of the motor through finite element analysis software, and obtains the dynamic magnetic density of each characteristic region by analyzing the electromagnetic field distribution of the motor and obtaining a dynamic magnetic density calculation formula of each region of the motor according to an equivalent magnetic circuit method. And analyzing the motor frequency domain iron loss calculation model to obtain an instantaneous iron loss calculation model. And then, calculating by combining the obtained dynamic flux density acquisition model and the instantaneous iron loss calculation model to obtain the overall iron loss of the motor, finally distributing the calculated overall iron loss, and adjusting the magnitude of the equivalent resistance connected in parallel at two ends of the phase winding according to the distributed iron loss, thereby establishing the switched reluctance motor modeling method considering the instantaneous iron loss, improving the modeling accuracy of the switched reluctance motor, and having important theoretical value and wide application prospect.
Description
Technical Field
The invention relates to a switched reluctance motor modeling method considering instantaneous iron loss, which is particularly suitable for modeling the instantaneous iron loss of each phase of switched reluctance motor.
Background
Accurate simulation calculation of steady-state and dynamic operation performance is crucial to design, analysis and control of a switched reluctance motor driving system. Iron loss is an important component of loss in the running process of the motor, and influences the running efficiency, temperature rise and other dynamic performances of the motor. At present, most of the commonly used simulation and analysis of the dynamic performance of the switched reluctance motor driving system is to obtain the static characteristics of the motor by adopting finite element analysis and calculation under the condition of no loss, and establish a dynamic simulation model of the switched reluctance motor driving system in an MATLAB software Simulink module according to the obtained static characteristics. For the switched reluctance motor with lower speed and lower power, the influence of neglect on the research on the dynamic performance of the switched reluctance motor is small. However, as the rotating speed of the motor increases or the power increases, the proportion of the iron loss relative to other losses in the motor becomes larger and larger, and the dynamic performance of the switched reluctance motor is greatly influenced. For a high-speed switched reluctance motor, the proportion of iron loss in the motor operation process is large, and the research on a switched reluctance motor driving system by neglecting the iron loss brings large errors. Therefore, a nonlinear modeling method which needs to consider the instantaneous iron loss of the motor and has high precision and high rapidity is urgently needed to be solved.
Disclosure of Invention
The technical problem is as follows: the invention aims to overcome the defects in the prior art and provides the switched reluctance motor modeling method which is simple, can improve the modeling precision of the switched reluctance motor and can simulate the switched reluctance motor more accurately and considers the instantaneous iron loss.
The technical scheme is as follows: in order to achieve the technical purpose, the invention provides a technical scheme for solving the technical problems:
a modeling method of a switched reluctance motor considering instantaneous iron loss comprises the following steps:
a. firstly, establishing a finite element model of a motor through finite element analysis software, analyzing the electromagnetic field distribution of the motor, carrying out region division on an iron core part of the motor according to the distribution condition of the electromagnetic field of the motor, selecting 1 characteristic point in each characteristic region, obtaining static magnetic density data of each characteristic point changing along with the position and current of a rotor, analyzing the magnetic density distribution and the change trend of the motor by adopting an equivalent magnetic circuit analysis method, obtaining the relation between the static magnetic density and the dynamic magnetic density of each region characteristic point, further obtaining a dynamic magnetic density calculation formula of each region of the motor, and building a dynamic magnetic density acquisition module according to the calculation formula to obtain the dynamic magnetic density of each region characteristic point of the motor;
b. analyzing the motor frequency domain iron loss calculation model to obtain an instantaneous iron loss calculation model;
c. and calculating to obtain the overall iron loss of the motor by combining the obtained dynamic flux density of each characteristic region and the instantaneous iron loss calculation model, distributing the overall iron loss of the obtained motor, adjusting the magnitude of the parallel equivalent resistance at two ends of the phase winding according to the distributed iron loss magnitude, and establishing the modeling of the switched reluctance motor with the instantaneous iron loss.
The iron core part is divided into the following regions: each phase of stator pole is equally divided into three regions along the radial direction, the rotor pole is equally divided into three regions along the radial direction, a stator yoke part between two phases of stator poles, and a yoke part region between rotor poles.
The instantaneous iron loss calculation model is as follows:
in the formula: phy,m、Pc,mAnd Pex,mInstantaneous hysteresis loss, instantaneous eddy current loss and instantaneous additional loss of the switched reluctance motor in unit mass are respectively;
Brand BtMagnetic densities of radial and tangential components, respectively;
Bmrand BmtRadial and tangential component flux density peak values respectively;
ΔBrand Δ BtDirect current flux densities of radial and tangential components, respectively;
kh(Br) And kh(Bt) Are respectively magneticHysteresis loss coefficients close to the radial and tangential components;
kcis the eddy current loss coefficient; k is a radical ofex(BrF) and kex(BtAnd f) the additional loss coefficients of the flux density in the radial and tangential components, respectively.
The hysteresis loss distribution model in the whole iron loss is as follows:
in the formula: pA_h、PB_hAnd PC_hHysteresis losses caused by A-phase, B-phase and C-phase windings are respectively generated;
Ptotal_hthe total hysteresis loss of the motor;
a. b and c are respectively A phase dynamic magnetic flux density change rate dBAdT, B phase dynamic magnetic density change rate dBBThe/dt and C phase dynamic flux density change rate.
The distribution model of the eddy current loss in the integral iron loss is as follows:
in the formula: pA_c、PB_cAnd PC_cAre respectively provided withEddy current loss caused by windings of the A phase, the B phase and the C phase;
Ptotal_cis the total eddy current loss of the motor.
The additional loss distribution model in the overall iron loss is as follows:
in the formula: pA_ex、PB_exAnd PC_exAdditional loss caused by A-phase, B-phase and C-phase windings respectively;
Ptotal_exadding to the total losses of the machine.
The influence of the integral iron loss on the phase winding adopts that two ends of the phase winding inductor are connected with an iron loss equivalent resistor in parallel.
Has the advantages that: by adopting the technical scheme, the invention obtains the static magnetic density data of each characteristic region of the motor along with the change of the position and the current of the rotor by adopting finite element analysis, obtains the dynamic magnetic density calculation formula of each region of the motor according to the equivalent magnetic circuit method and obtains the dynamic magnetic density of each characteristic region. And analyzing the motor frequency domain iron loss calculation model to obtain an instantaneous iron loss calculation model. And then calculating to obtain the overall iron loss of the motor by combining the obtained dynamic flux density and instantaneous iron loss calculation model of each characteristic region, finally distributing the calculated overall iron loss, and adjusting the parallel equivalent resistance at two ends of the phase winding according to the distributed iron loss, thereby establishing a switched reluctance motor modeling method considering the instantaneous iron loss and improving the modeling accuracy of the switched reluctance motor. The model improves the dynamic simulation precision, is vital to the design, simulation and analysis of the high-speed switched reluctance motor, can be used for dynamic simulation modeling of the switched reluctance motor with various phases, and has important theoretical value and wide application prospect.
Drawings
Fig. 1 is a three-phase 6/4 pole structure switched reluctance motor area division of the present invention.
Fig. 2(a) is a radial flux density characteristic curve of the stator pole tips a1, B1, and C1 of the present invention.
Fig. 2(b) is a radial magnetic flux density characteristic curve of the stator yoke AB, BC, AC region of the present invention.
FIG. 2(C) is a tangential flux density characteristic curve of the stator pole tips A1, B1, C1 region of the present invention
Fig. 2(d) is a tangential flux density characteristic curve of the stator yoke sections AB, BC, AC region of the present invention.
Fig. 3(a) is a radial flux density characteristic curve of the rotor pole tips R1 and R4 according to the present invention.
Fig. 3(b) shows the radial magnetic flux density characteristics of the rotor yoke R7 and R8 region according to the present invention.
Fig. 3(c) is a tangential flux density characteristic curve of the rotor pole tips R1 and R4 region of the present invention.
Fig. 3(d) shows tangential flux density characteristics of the rotor yoke R7 and R8 regions of the present invention.
Fig. 4 is a simulation block diagram of a switched reluctance motor of the present invention considering transient losses of the switched reluctance motor.
Fig. 5 is an equivalent circuit of the phase winding of the switched reluctance motor of the present invention considering the instantaneous iron loss.
Fig. 6 is a block diagram of the MATLAB software Simulink module of the phase winding of the present invention that accounts for iron losses.
Fig. 7 is a block diagram of the overall simulation module of the MATLAB software Simulink module of the switched reluctance motor considering iron loss according to the present invention.
Detailed Description
The invention relates to a switched reluctance motor modeling method considering instantaneous iron loss, which comprises the following steps:
a. firstly, establishing a finite element model of the motor through finite element analysis software, analyzing the electromagnetic field distribution of the motor, and dividing the iron core part of the motor into regions according to the distribution condition of the electromagnetic field of the motor, wherein the regions divided by the iron core part are as follows: each phase of stator pole is equally divided into three areas along the radial direction, the rotor pole is equally divided into three areas along the radial direction, a stator yoke part between two phases of stator poles and a yoke part area between rotor poles along the radial direction, 1 characteristic point is selected in each characteristic area to obtain static magnetic density data of each characteristic point changing along with the position and current of the rotor, the magnetic density distribution and the change trend of the motor are analyzed by adopting an equivalent magnetic circuit analysis method to obtain the relation between the static magnetic density and the dynamic magnetic density of each area characteristic point, further a dynamic magnetic density calculation formula of each area of the motor is obtained, and a dynamic magnetic density acquisition module is built according to the calculation formula to obtain the dynamic magnetic density of each area characteristic point of the motor;
b. analyzing the motor frequency domain iron loss calculation model to obtain an instantaneous iron loss calculation model;
c. and calculating to obtain the overall iron loss of the motor by combining the obtained dynamic flux density acquisition model and the instantaneous iron loss calculation model, distributing the obtained overall iron loss of the motor to influence on each phase current of the motor, and establishing the modeling of the switched reluctance motor with the instantaneous iron loss.
The instantaneous iron loss calculation model is as follows:
in the formula: phy,m、Pc,mAnd Pex,mInstantaneous hysteresis loss, instantaneous eddy current loss and instantaneous additional loss of the switched reluctance motor in unit mass are respectively;
Brand BtMagnetic densities of radial and tangential components, respectively;
Bmrand BmtRadial and tangential component flux density peak values respectively;
ΔBrand Δ BtDirect current flux densities of radial and tangential components, respectively;
kh(Br) And kh(Bt) Hysteresis loss coefficients of the magnetic flux density in the radial direction and the tangential direction are respectively;
kcis the eddy current loss coefficient; k is a radical ofex(BrF) and kex(BtAnd f) the additional loss coefficients of the flux density in the radial and tangential components, respectively.
The hysteresis loss distribution model in the whole iron loss is as follows:
in the formula: pA_h、PB_hAnd PC_hHysteresis losses caused by A-phase, B-phase and C-phase windings are respectively generated;
Ptotal_hthe total hysteresis loss of the motor;
a. b and c are eachIs A phase dynamic magnetic flux density change rate dBAdT, B phase dynamic magnetic density change rate dBBThe/dt and C phase dynamic flux density change rate.
The distribution model of the eddy current loss in the integral iron loss is as follows:
wherein P isA_c、PB_cAnd PC_cEddy current loss caused by A phase winding, B phase winding and C phase winding; ptotal_cIs the total eddy current loss of the motor.
The additional loss distribution model in the overall iron loss is as follows:
in the formula: pA_ex、PB_exAnd PC_exAdditional loss caused by A-phase, B-phase and C-phase windings respectively;
Ptotal_exadding to the total losses of the machine.
The influence of the integral iron loss on the phase winding adopts that two ends of the phase winding inductor are connected with an iron loss equivalent resistor in parallel.
An embodiment of the invention is further described below with reference to the accompanying drawings:
taking a three-phase 6/4 structure switched reluctance motor as an example, a dynamic model considering the instantaneous iron loss of the switched reluctance motor is firstly established. Analyzing an electromagnetic field of the motor by using finite element analysis software, and carrying out region division on an iron core part of the motor, wherein the divided regions are shown in figure 1; the stator teeth of the phase A are averagely and equally divided into three parts of A1, A2 and A3, the stator teeth of the phase B are averagely and equally divided into three parts of B1, B2 and B3, the stator teeth of the phase C are averagely and equally divided into three parts of C1, C2 and C3, the stator yoke part is divided into three parts of AB, BC and AC, the rotor yoke part is divided into two parts of R7 and R8, the rotor teeth are divided into six parts of R1, R2, R3, R4, R5 and R6, the magnetic density characteristics of each region of the motor are analyzed by combining an equivalent magnetic circuit method, the relation between the static magnetic density and the dynamic magnetic density of the motor is established, and the dynamic magnetic density acquisition module of each region of the motor is built in a MATLAB software Sim. Acquiring dynamic flux density characteristic curves of stator pole tips A1, B1 and C1 and stator yoke parts AB, BC and AC regions acquired by a MATLAB software Simulink module, wherein the dynamic flux density characteristic curves are shown in FIG. 2; the dynamic flux density characteristic curves of the rotor pole tips R1, R4 and rotor yoke R7, R8 regions obtained by the module were obtained by the MATLAB software Simulink module, as shown in fig. 3.
After a dynamic flux density characteristic curve of each characteristic region of the motor is obtained, the iron loss of each characteristic region of the motor can be calculated by combining an iron loss calculation model, the instantaneous iron loss calculation model comprises the calculation of instantaneous hysteresis loss, eddy current loss and additional loss, and the calculation formulas are respectively as follows:
in the formula: phy,m、Pc,mAnd Pex,mInstantaneous hysteresis loss, instantaneous eddy current loss and instantaneous additional loss of the switched reluctance motor in unit mass are respectively;
Brand BtMagnetic densities of radial and tangential components, respectively;
Bmrand BmtRadial and tangential component flux density peak values respectively;
ΔBrand Δ BtDirect current flux densities of radial and tangential components, respectively;
kh(Br) And kh(Bt) Hysteresis loss coefficients of the magnetic flux density in the radial direction and the tangential direction are respectively;
kcis the eddy current loss coefficient; k is a radical ofex(BrF) and kex(BtAnd f) the additional loss coefficients of the flux density in the radial and tangential components, respectively.
Calculating the divided regions in the figure 1 respectively through the instantaneous hysteresis loss, the eddy current loss and the additional loss calculation formulas to obtain the total instantaneous hysteresis loss, the eddy current loss and the additional loss of the motor;
and then calculating by combining the obtained dynamic flux density acquisition model and the instantaneous iron loss calculation model to obtain the overall iron loss of the motor, finally distributing the calculated overall iron loss, and adjusting the magnitude of the equivalent resistance connected in parallel at two ends of the phase winding according to the distributed iron loss, wherein the hysteresis loss distribution model is as follows:
in the formula: pA_h、PB_hAnd PC_hHysteresis losses caused by A-phase, B-phase and C-phase windings are respectively generated;
Ptotal_hthe total hysteresis loss of the motor;
a. b and c are respectively A phase dynamic magnetic flux density change rate dBAdT, B phase dynamic magnetic density change rate dBBThe/dt and C phase dynamic flux density change rate.
The distribution model of the eddy current loss in the whole iron loss is as follows:
in the formula: pA_c、PB_cAnd PC_cEddy current loss caused by A phase winding, B phase winding and C phase winding; ptotal_cIs the total eddy current loss of the motor.
The model of additional loss distribution in the overall iron loss is as follows:
in the formula: pA_ex、PB_exAnd PC_exAdditional loss caused by A-phase, B-phase and C-phase windings respectively; ptotal_exAdding to the total losses of the machine.
As shown in fig. 4, a simulation block diagram of a switched reluctance motor considering the instantaneous loss of the switched reluctance motor includes an asymmetric half-bridge power converter, a phase winding module, a mechanical equation module, a controller module, a dynamic flux density acquisition module, and an iron loss calculation and distribution module. The winding module adopts the effect of equivalent instantaneous loss of an equivalent circuit as shown in figure 5 on the phase winding of the motor, namely, a variable equivalent resistor is connected in parallel at two ends of the phase winding, wherein UsTo the winding terminal voltage, itotFor the total current of the winding, i.e. the current actually detected, icoreFor currents affecting the phase winding due to iron losses, RcoreIs the iron loss equivalent resistance, iLFor the winding inductance current, LwIs the inductance of the winding.
The switched reluctance motor MATLAB software Simulink module phase winding module which is established by the equivalent circuit and considers loss is shown in FIG. 6. An overall simulation model built in a MATLAB software Simulink module according to the switched reluctance motor simulation module diagram considering the transient loss of the switched reluctance motor shown in fig. 4 is shown in fig. 7.
The dynamic simulation model of the switched reluctance motor considering the instantaneous iron loss can be established through the steps.
Claims (3)
1. A switched reluctance motor modeling method considering instantaneous iron loss is characterized by comprising the following steps:
a. firstly, establishing a finite element model of a motor through finite element analysis software, analyzing the electromagnetic field distribution of the motor, carrying out region division on an iron core part of the motor according to the distribution condition of the electromagnetic field of the motor, selecting 1 characteristic point in each characteristic region, obtaining static magnetic density data of each characteristic point changing along with the position and current of a rotor, analyzing the magnetic density distribution and the change trend of the motor by adopting an equivalent magnetic circuit analysis method, obtaining the relation between the static magnetic density and the dynamic magnetic density of each region characteristic point, further obtaining a dynamic magnetic density calculation formula of each region of the motor, and building a dynamic magnetic density acquisition module according to the calculation formula to obtain the dynamic magnetic density of each region characteristic point of the motor;
b. analyzing the motor frequency domain iron loss calculation model to obtain an instantaneous iron loss calculation model;
c. calculating to obtain the overall iron loss of the motor by combining the obtained dynamic flux density of each characteristic region and the instantaneous iron loss calculation model, distributing the overall iron loss of the obtained motor, adjusting the magnitude of the parallel equivalent resistance at two ends of the phase winding according to the distributed iron loss, and establishing the modeling of the switched reluctance motor with the instantaneous iron loss;
the instantaneous iron loss calculation model is as follows:
ε(ΔBr)＝1+kdcΔBr α+klΔBr 2 (5)
ε(ΔBt)＝1+kdcΔBt α+klΔBt 2 (6)
in the formula: phy,m、Pc,mAnd Pex,mInstantaneous hysteresis loss, instantaneous eddy current loss and instantaneous additional loss of the switched reluctance motor in unit mass are respectively;
Brand BtMagnetic densities of radial and tangential components, respectively;
Bmrand BmtRadial and tangential component flux density peak values respectively;
ΔBrand Δ BtDirect current flux densities of radial and tangential components, respectively;
kh(Br) And kh(Bt) Hysteresis loss coefficients of the magnetic flux density in the radial direction and the tangential direction are respectively;
kcis the eddy current loss coefficient; k is a radical ofex(BrF) and kex(BtF) additional loss coefficients of the flux density in the radial and tangential components respectively;
the hysteresis loss distribution model in the whole iron loss is as follows:
in the formula: pA_h、PB_hAnd PC_hHysteresis losses caused by A-phase, B-phase and C-phase windings are respectively generated;
Ptotal_hthe total hysteresis loss of the motor;
a. b and c are A phase dynamic magnets respectivelyDense rate of change dBAdT, B phase dynamic magnetic density change rate dBBDt and rate of change of phase C dynamic flux density;
the distribution model of the eddy current loss in the integral iron loss is as follows:
in the formula: pA_c、PB_cAnd PC_cEddy current loss caused by A phase winding, B phase winding and C phase winding;
Ptotal_ctotal eddy current losses for the motor;
the additional loss distribution model in the overall iron loss is as follows:
in the formula: pA_ex、PB_exAnd PC_exAdditional loss caused by A-phase, B-phase and C-phase windings respectively;
Ptotal_exadding to the total losses of the machine.
2. The modeling method of the switched reluctance motor considering the instantaneous iron loss according to claim 1, wherein: the iron core part is divided into the following regions: each phase of stator pole is equally divided into three regions along the radial direction, the rotor pole is equally divided into three regions along the radial direction, a stator yoke part between two phases of stator poles, and a yoke part region between rotor poles.
3. The modeling method of the switched reluctance motor considering the instantaneous iron loss according to claim 1, wherein: the influence of the integral iron loss on the phase winding adopts that two ends of the phase winding inductor are connected with an iron loss equivalent resistor in parallel.
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| CN106326595A (en) * | 2016-09-06 | 2017-01-11 | 中国矿业大学 | Model for calculating iron loss of improved switched reluctance motor |
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| WO2014044657A2 (en) * | 2012-09-20 | 2014-03-27 | Perkins Engines Company Limited | Method to control a switched reluctance machine |
| CN106326595A (en) * | 2016-09-06 | 2017-01-11 | 中国矿业大学 | Model for calculating iron loss of improved switched reluctance motor |
| CN106339563A (en) * | 2016-09-06 | 2017-01-18 | 中国矿业大学 | Method for quickly calculating iron loss of switch reluctance motor |
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