CN111327170A - Modeling method for equivalent magnetic circuit of hybrid excitation axial flux switching motor - Google Patents

Modeling method for equivalent magnetic circuit of hybrid excitation axial flux switching motor Download PDF

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CN111327170A
CN111327170A CN201811532046.2A CN201811532046A CN111327170A CN 111327170 A CN111327170 A CN 111327170A CN 201811532046 A CN201811532046 A CN 201811532046A CN 111327170 A CN111327170 A CN 111327170A
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rotor
stator
motor
resistance
magnetic
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徐妲
朱莲莉
李强
蒋雪峰
胡雅倩
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Nanjing University of Science and Technology
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Nanjing University of Science and Technology
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K16/00—Machines with more than one rotor or stator
    • H02K16/04—Machines with one rotor and two stators
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K1/00—Details of the magnetic circuit
    • H02K1/06—Details of the magnetic circuit characterised by the shape, form or construction
    • H02K1/12—Stationary parts of the magnetic circuit
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K1/00—Details of the magnetic circuit
    • H02K1/06—Details of the magnetic circuit characterised by the shape, form or construction
    • H02K1/12—Stationary parts of the magnetic circuit
    • H02K1/17—Stator cores with permanent magnets
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K1/00—Details of the magnetic circuit
    • H02K1/06—Details of the magnetic circuit characterised by the shape, form or construction
    • H02K1/22—Rotating parts of the magnetic circuit
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K21/00—Synchronous motors having permanent magnets; Synchronous generators having permanent magnets
    • H02K21/38—Synchronous motors having permanent magnets; Synchronous generators having permanent magnets with rotating flux distributors, and armatures and magnets both stationary
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K2201/00—Specific aspects not provided for in the other groups of this subclass relating to the magnetic circuits
    • H02K2201/03—Machines characterised by aspects of the air-gap between rotor and stator
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K2201/00—Specific aspects not provided for in the other groups of this subclass relating to the magnetic circuits
    • H02K2201/12—Transversal flux machines
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02K—DYNAMO-ELECTRIC MACHINES
    • H02K2213/00—Specific aspects, not otherwise provided for and not covered by codes H02K2201/00 - H02K2211/00
    • H02K2213/03—Machines characterised by numerical values, ranges, mathematical expressions or similar information

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  • Power Engineering (AREA)
  • Permanent Field Magnets Of Synchronous Machinery (AREA)
  • Iron Core Of Rotating Electric Machines (AREA)

Abstract

The invention discloses a modeling method of an equivalent magnetic circuit of a hybrid excitation axial flux switching motor, the related motor is a novel axial hybrid excitation motor, a double-stator and single-rotor structure is adopted, the motor mainly comprises a stator, a rotor, a permanent magnet, an armature winding and an excitation winding, the sizes of the permanent magnet, the stator, the rotor, an air gap and other parts of the hybrid excitation axial flux switching motor are determined, and the modeling process comprises the following steps: step 1: the permanent magnet is equivalent to a magnetomotive force source FpmAnd internal resistance Rpm(ii) a Step 2: according to stator teeth and rotor teethDividing the rotor position in a half period into n regions according to the relative position of the radial position, and calculating the magnetic resistance of a stator and rotor core and the magnetic resistance of an air gap in each region; step 3, establishing an equivalent magnetic circuit model of each region by combining the equivalent magnetic resistance of each part; and 4, finishing the motor modeling process. The invention provides a rapid calculation method for the initial design and performance optimization of the hybrid excitation axial flux switching motor on the basis of ensuring the calculation accuracy.

Description

Modeling method for equivalent magnetic circuit of hybrid excitation axial flux switching motor
Technical Field
The invention relates to a modeling method of a motor magnetic circuit, in particular to a modeling method of an equivalent magnetic circuit of a hybrid excitation axial flux switching motor.
Background
In 2007, french scholars e.hoang proposed a Hybrid Excitation Flux-switching (HEFS) motor on the basis of a Flux-switching permanent magnet motor, and such a motor has good constant-power speed regulation capability and torque output capability, and attracts international widespread attention. Compared with a radial magnetic field motor, the axial magnetic field motor has the advantages of high rotor core utilization rate, high torque density, good heat dissipation, short axial length and compact structure, and is more suitable for occasions with high efficiency and low rotating speed.
The hybrid excitation axial magnetic flux switching motor has the advantages of both an HEFS motor and an axial motor, and has a wide development prospect in the industrial fields of constant power, wide-range speed regulation driving, constant-voltage power generation and the like (the study on design, analysis and control of a Danda hybrid excitation axial magnetic field magnetic flux switching motor [ D ]. southeast university, 2017). Professor Lingmingya proposes a 12/10-pole hybrid excitation axial magnetic field flux switching motor, the motor adopts a double-stator single-rotor structure, an excitation winding and a permanent magnet are both arranged on a stator, a mathematical model of the motor is deduced, and the working characteristics of the motor are researched based on a zone control strategy (Zhao Jilong, Lingmingya, Danda, Jinlong. hybrid excitation axial magnetic field flux switching motor weak magnetic control [ J ]. the report of Chinese Motor engineering. 2015,35(19): 5059-.
At present, for the research of the motor, there are two common methods, including a finite element method and an equivalent magnetic circuit method.
The finite element method can accurately calculate the static characteristics of the motor and is more suitable for the motor with the determined two-dimensional magnetic field and size parameters. However, in the initial design and optimization of the motor, the static characteristics under different structural parameters need to be calculated, the finite element method is very inconvenient, and particularly for the motor with a three-dimensional magnetic field, the modeling process is complex, the calculation time is long, and the cost is high. The equivalent magnetic circuit method can realize effective balance of calculation time and calculation precision, and is characterized in that a magnetic field area is divided into a plurality of branches which are mutually connected in series or in parallel according to the geometric structure and the magnetic field distribution of the motor, each branch is composed of units such as a magnetic resistance and a magnetomotive force source, and all the units are connected by magnetic potential nodes, so that an equivalent magnetic circuit network of the whole motor is formed. The students of michael, sachi and yellow soviet of Shanghai university start with the basic topological structure of the magnetic pole division type hybrid excitation motor, and derive an equivalent magnetic circuit model of the motor (michael, sachi, yellow soviet. magnetic pole division type hybrid excitation motor equivalent magnetic circuit method analysis [ J ] motor and control application, 2006,31(1): 11-15). The research shows that the equivalent magnetic circuit method can meet the requirement of engineering calculation precision on the basis of greatly reducing the calculation cost (Chenjun. the equivalent magnetic network analysis and calculation of the hybrid claw pole generator with permanent magnet excitation [ D ]. Anhui: the university of synthetic fertilizer industry, 2003).
The magnetic fields of the hybrid excitation axial flux switching motor are distributed in three dimensions, and both a circumferential magnetic field and an axial magnetic field exist, so that the design and analysis process is complex. The motor of the type is analyzed, designed and optimized by adopting an equivalent magnetic circuit method, so that the magnetic field analysis and calculation time can be effectively reduced and the calculation cost can be saved on the premise of meeting certain calculation precision.
At present, the design and optimization of the hybrid excitation axial flux switching motor adopt a finite element method, the calculation time is consumed, and the calculation cost is increased. The above-described equivalent magnetic circuit method lacks consideration of local magnetic field saturation, leakage flux at the motor end, and the like. In addition, in the cutting process of the air gap flux tube, the influences of the shapes and the sizes of the teeth of the stator and the rotor are not considered, and the accuracy of the equivalent magnetic circuit model is seriously influenced.
Disclosure of Invention
The invention aims to provide a modeling method of an equivalent magnetic circuit of a hybrid excitation axial flux switching motor, and provides a simple and effective calculation method for initial design and optimal design of the hybrid excitation axial flux switching motor.
The technical solution for realizing the purpose of the invention is as follows:
1) a modeling method of an equivalent magnetic circuit of a hybrid excitation axial flux switching motor relates to a novel axial hybrid excitation motor, adopts a structure of double stators and single rotors, mainly comprises a stator, a rotor, a permanent magnet, an armature winding and an excitation winding, and determines the sizes of the permanent magnet, the stator, the rotor, an air gap and other parts of the hybrid excitation axial flux switching motor, and is characterized in that the modeling process comprises the following steps:
step 1: the permanent magnet is equivalent to a magnetomotive force source FpmAnd internal resistance Rpm；
Step 2: dividing the rotor position in a half cycle into n regions according to the relative positions of the stator teeth and the rotor teeth at the inner and outer diameters; calculating the magnetic resistance of the stator and rotor cores and the air gap magnetic resistance in each area;
step 3, establishing an equivalent magnetic circuit model of each region by combining the equivalent magnetic resistance of each part;
and 4, finishing the motor modeling process.
2) The modeling method of claim 1, wherein in step 2, the stator-rotor core reluctance is composed of four parts including reluctance R of the stator yokesty、RsyMagnetic resistance R of stator teethstt1、Rstt2Magnetic resistance R of the middle teeth of the statorsmtAnd reluctance R of rotor teethr；Rsty、Rstt1And Rstt2Are all linear magneto-resistance, Rsy、RsmtAnd RrWith nonlinear magnetoresistance, the expressions for each magnetoresistance are shown below.
Figure BDA0001905905650000021
Figure BDA0001905905650000022
Figure BDA0001905905650000031
Figure BDA0001905905650000032
Figure BDA0001905905650000033
3) The modeling method according to claim 1, wherein in the step 2, the air gap magnetic resistance is researched by using a flux tube segmentation method, and an elliptical arc is used for cutting the air gap instead of a traditional circular arc; analyzing the air gap magnetic field distribution at different positions, summarizing to obtain six typical air gap flux tube types, and introducing a proportionality coefficient k1And k2The expression of the magnetic resistance of each flux tube is as follows.
Figure BDA0001905905650000034
Figure BDA0001905905650000035
Figure BDA0001905905650000036
Figure BDA0001905905650000037
Figure BDA0001905905650000038
Figure BDA0001905905650000039
4) The modeling method according to claim 1, wherein in the step 3, parameters such as magnetic resistance and magnetomotive force obtained through calculation are connected through magnetomotive force nodes to obtain an equivalent magnetic circuit of each rotor position area, and n areas are integrated to obtain an equivalent magnetic circuit model of the hybrid excitation axial flux switching motor.
5) The modeling method according to claim 1, wherein in the step 1, the permanent magnet is equivalent to a magnetomotive force source FpmAnd an internal reluctance RpmThe calculation formula of the magnetomotive force source is Fpm＝HchmThe calculation formula of the internal magnetic resistance is Rpm＝hm/(μ0lpmls) (ii) a The leakage magnetic of the motor mainly exists at the end part of the permanent magnet, and the calculation formula of the leakage magnetic resistance is Rleak＝1/(0.26μ0li)。
Compared with the prior art, the invention has the following remarkable advantages:
1. at present, the research on the hybrid excitation axial flux switching motor is still in a starting stage, and finite element analysis is adopted for the design and optimization of the motor, so that the time consumption is long and the cost is high. The invention provides a quick and effective magnetic circuit calculation method for the initial design and the optimized design of the motor of the type.
2. When the equivalent magnetic circuit model of the hybrid excitation axial flux switching motor is established, the problems of iron core local magnetic field saturation and permanent magnet end leakage are considered, and the calculation accuracy of the equivalent magnetic circuit model is improved.
3. The invention fully considers the influence of the tooth shape and the size of the stator and the rotor of the motor and refines the division of the rotor position area; and by introducing the proportionality coefficient, a calculation formula of the air gap magnetic resistance is optimized, and the calculation accuracy of the equivalent magnetic circuit model is further improved.
Drawings
FIG. 1 is a flow chart of an equivalent magnetic circuit modeling method of a hybrid excitation axial flux switching motor of the present invention;
FIG. 2 is a schematic structural diagram of an 6/10 pole hybrid excitation axial flux switching electric machine of the present invention;
FIG. 3 is a schematic view of the path of the rotor teeth of the present invention at the inner and outer diameters;
FIG. 4 is a rotor position area schematic diagram of an 6/10 pole hybrid excitation axial flux switching machine of the present invention;
FIG. 5 is an equivalent schematic view of a stator and rotor core and permanent magnets of the present invention;
fig. 6 is a schematic diagram of nonlinear reluctance in a core of the present invention;
FIG. 7 is a schematic view of an exemplary air gap flux tube type of the present invention;
FIG. 8 is a schematic view of the end leakage of a permanent magnet according to the present invention;
fig. 9 is a structural view of an equivalent magnetic circuit model of the present invention.
In the figure: 1 is a stator, 2 is a rotor, 3 is a Permanent Magnet (PM), 4 is an armature winding, and 5 is an excitation winding.
Detailed Description
The present invention will be described in detail below with reference to the accompanying drawings and specific embodiments.
The invention provides a modeling method for an equivalent magnetic circuit of a hybrid excitation axial flux switching motor, the related motor is a novel axial hybrid excitation motor, a double-stator and single-rotor structure is adopted, the motor mainly comprises a stator, a rotor, a permanent magnet, an armature winding and an excitation winding, the sizes of the permanent magnet, the stator, the rotor, an air gap and other parts of the hybrid excitation axial flux switching motor are determined, and the modeling process comprises the following steps: step 1: the permanent magnet is equivalent to a magnetomotive force source FpmAnd internal resistance Rpm(ii) a Step 2: dividing the rotor position in a half period into n regions according to the relative positions of the stator teeth and the rotor teeth at the inner diameter and the outer diameter, and calculating the magnetic resistance of a stator core and a rotor core and the magnetic resistance of an air gap in each region; step 3, establishing an equivalent magnetic circuit model of each region by combining the equivalent magnetic resistance of each part; and 4, finishing the motor modeling process. The invention provides a rapid calculation method for the initial design and performance optimization of the hybrid excitation axial flux switching motor on the basis of ensuring the calculation accuracy.
1 electric machine structure
Fig. 2 is a schematic structural diagram of an 6/10-pole hybrid excitation axial flux switching motor, which adopts a double-stator and single-rotor structure and mainly comprises a stator 1, a rotor 2, a permanent magnet 3, an armature winding 4 and an excitation winding 5. Each stator 1 is composed of six E-shaped iron cores and six permanent magnets 3 in an alternating mode, the E-shaped iron cores are parallel slots, the permanent magnets 3 are magnetized in parallel, the magnetizing directions of the adjacent permanent magnets 3 are opposite, and the magnetizing directions of the corresponding permanent magnets 3 on the stators on the two sides are also opposite. The armature winding 4 is wound on two adjacent stator teeth, and the excitation winding 5 is wound on the middle tooth of the E-shaped iron core. The six groups of coils on each stator are connected in series two by two to form a three-phase armature winding, and the opposite in-phase armature coils on the stators on the two sides are also connected in series. The armature winding 4 and the excitation winding 5 both adopt centralized windings, and the length of the end part of the winding is shortened, so that the copper consumption and the copper consumption of the motor can be reduced. The rotor 2 has a very simple structure, has no permanent magnets or windings, and consists of 10 rotor teeth which are uniformly distributed along the circumference and are connected by a non-magnetic ring.
2 modeling process of magnetic circuit
The equivalent magnetic circuit method is based on the motor structure and the magnetic field distribution, the magnetic field area of the motor is divided into a plurality of magnetic circuits which are connected in series or in parallel, parameters such as magnetic resistance R and magnetomotive force F on each magnetic circuit are calculated, all the parameters are connected through magnetomotive force nodes, then the magnetic flux phi on each branch can be obtained according to a relational expression F phi R, and further static characteristics such as the magnetic linkage and the back electromotive force of the motor can be obtained. Compared with the traditional radial motor, the hybrid excitation axial magnetic flux switching motor has the advantages that not only circumferential magnetic flux but also axial magnetic flux exists, and therefore a magnetic circuit is complex.
The equivalent magnetic circuit of the hybrid excitation axial flux switching motor is divided into four parts which are respectively solved, wherein the four parts comprise a permanent magnet, a stator, a rotor core and an air gap. The accuracy of the equivalent magnetic circuit is mainly determined by the accuracy of calculation of the magnetic resistance of each part. The calculation formula of the magnetic resistance of each part in the equivalent magnetic circuit is derived by fully considering the complexity of the magnetic circuit of the motor.
2.1 rotor position area division
As the position of the rotor changes, the magnetic field in the motor changes continuously, and the saturation degree of the core reluctance and the air gap reluctance also change. And dividing the rotor position into regions so that the distribution of the air gap magnetic field in each region is basically consistent, namely the iron core magnetic resistance and the air gap magnetic resistance in each region can be calculated by adopting the same formula. According to the symmetry of the structure of the hybrid excitation axial flux switching motor, the position of the rotor in a half period is analyzed for simplifying calculation.
The stator tooth surface of the hybrid excitation axial flux switching motor is of a trapezoid structure, the rotor tooth surface is of a parallel structure, and paths of the rotor teeth at the inner diameter position and the outer diameter position are different in the rotor rotation process. When the rotor rotates to θ, as shown in FIG. 3rWhen L is1Is the path at the inner diameter of the rotor teeth, L2The path of the rotor at the outer diameter, two paths L, as can be seen in the figure1And L2Are not consistent. When the rotor position area is divided through modeling, the relative positions of the stator and rotor teeth at the inner diameter are comprehensively considered, and the rotor position is divided into n areas. Taking an 6/10-pole hybrid excitation axial flux switching motor as an example, fig. 4 is a schematic diagram showing division of a rotor position region into 20 regions in total. In the figure, the hollow rectangle
Figure BDA0001905905650000061
Showing the positional relationship of the stator and rotor at the inner diameter, solid rectangle
Figure BDA0001905905650000062
The positional relationship of the stator and the rotor at the outer diameter is shown.
2.2 stator-rotor core reluctance calculation
As shown in FIG. 5, the stator-rotor core magnetic resistance is mainly composed of four parts, respectively, the yoke part magnetic resistance of the stator (divided into two sections: R)sty、Rsy) Tooth reluctance of the stator (divided into two sections: rstt1、Rstt2) Middle tooth reluctance R of statorsmtAnd rotor tooth reluctance Rr。
When the magnetic field is not saturated, the magnetic permeability of the iron core is approximately a constant value, namely the magnetic resistance of the iron core is linear magnetic resistance. Rsty、Rstt1And Rstt2Are all linear magneto-resistance, and the expressions are shown in formulas (2.1) to (2.2), RsiAnd RsoIs the inner diameter and the outer diameter mu of the motorFeIs the permeability of the core when the magnetic field is not saturated,/sIs the stator axial length, /)syThickness of stator yoke, βs、βstAnd βpmThe width of a stator slot opening at the inner diameter, the width of a stator tooth and the thickness of a permanent magnet SstIs the area of the stator teeth in the radial plane, C1The expression is shown as (2.3) for a constant with respect to size.
Figure BDA0001905905650000063
Figure BDA0001905905650000064
Figure BDA0001905905650000065
When the magnetic field reaches saturation, the magnetic permeability of the iron core is no longer constant and changes along with the change of the magnetic field, and the magnetic resistance of the iron core is nonlinear magnetic resistance. For the magnetic permeability mu' of the nonlinear magnetic resistance, iterative calculation is carried out by adopting a linear interpolation mode, and the specific solving process is as follows: the slope of the straight line portion is defined as mu according to the magnetization curve of the core material1Calculating the magnetic flux of each part of the magnetic circuit and the cross-sectional area of the magnetic circuit to obtain the magnetic density B of the magnetic circuit of the corresponding iron core section1(ii) a According to B1The new permeability mu can be obtained by comparing the magnetization curve of the iron core2. And repeating the process, and when the error of the result of the two iterations is smaller than a given value, determining the magnetic permeability corresponding to the new magnetic density value as the final value of mu'.
Rsy、RsmtAnd RrAre all nonlinear magneto-resistance, the expressions are shown in formulas (2.4) - (2.6), lrFor rotor axial length, βsmThe width of the middle tooth of the stator at the inner diameter is SsmThe area of the stator central tooth in the radial plane, C2Is constant with respect to size, itThe expression is shown in (2.7).
As shown in FIG. 6, Rsy-sat、Rsmt-satAnd Rr-satAre each Rsy、RsmtAnd RrNonlinear part in magnetoresistance, Rsy-satIs shown in (2.8), Rsmt-satAnd Rr-satIs about ksatOverlap area S of stator and rotor teethaThe functions of (a) are shown in formulas (2.9) to (2.10). k is a radical ofsatFor the introduced saturation depth coefficient, denoted as ksat＝hsat/h，hsatFor the depth of saturation, h is the calculated height of the teeth. k is a radical ofsatIs a function of the flux density of the branch, and increases with the increase of the saturation degree.
Figure BDA0001905905650000071
Figure BDA0001905905650000072
Figure BDA0001905905650000073
Figure BDA0001905905650000074
Figure BDA0001905905650000075
Figure BDA0001905905650000076
Figure BDA0001905905650000077
2.3 air gap magnetoresistance calculation
The tooth width of the middle tooth of the stator of the hybrid excitation axial flux switching motor and the axial length of the rotor tooth are considered, and the air gap is dividedWhen the flux tube is used, the arc cannot be simply adopted, so the invention adopts the elliptical arc to cut, and the specific measures are as follows: introducing a proportionality coefficient k into a calculation formula1And k2. The distribution of the air-gap magnetic field at different positions is analyzed to obtain six typical types of flux tubes as shown in fig. 7(a) - (f), the air-gap reluctance in the motor at different rotor positions is a combination of the six typical air-gap reluctance types, and the reluctance of each flux tube can be obtained according to equations (2.11) - (2.16).
Figure BDA0001905905650000078
Figure BDA0001905905650000079
Figure BDA00019059056500000710
Figure BDA0001905905650000081
Figure BDA0001905905650000082
Figure BDA0001905905650000083
Wherein x is1Is the width of the flux tube at the mean radius,/aIs the effective radial length, g is the air gap length, k1＝L1/(x1+r1)，k2＝L1/x1。
The air gap reluctance in the hybrid excitation axial flux switching motor is the combination of the above six typical air gap reluctance at different rotor positions.
2.4 equivalence of permanent magnets
The permanent magnet is equivalent to a magnetomotive force source FpmAnd one insideMagnetic resistance RpmAs shown in fig. 5, the calculation formula is shown in formula (2.17) and formula (2.18):
Figure BDA0001905905650000084
Figure BDA0001905905650000085
wherein HcAnd BrCoercive force and residual magnetic flux density of permanent magnet, hmLength of the magnetization direction of the permanent magnet, /)pmIs the radial length of the permanent magnet.
As shown in fig. 8, the leakage flux from the end of the permanent magnet according to the present invention is illustrated schematically; the leakage flux of the hybrid excitation axial flux switching motor mainly exists at the end parts of the permanent magnets, the leakage flux at the end part of each permanent magnet has four flux tubes, the magnetic resistance of the flux tubes can be summarized into two types, including Rleak1And Rleak2Two, the concrete formula is as follows:
Figure BDA0001905905650000086
Figure BDA0001905905650000087
3 equivalent magnetic circuit model
Combining the equivalent magnetic resistance of each part and the calculation formulas (2.1) - (2.20) of the magnetomotive force, connecting the calculated parameters such as the magnetic resistance and the magnetomotive force through magnetic potential nodes to obtain an equivalent magnetic network of each rotor position area, as shown in fig. 9. In the figure, Fdc1And Fdc2The excitation magnetomotive force generated by the direct current on the two sides is represented, and the value of the excitation magnetomotive force is the product of the number of turns of the excitation winding and the direct current; rGⅠRepresenting the air gap reluctance, R, between the stator intermediate tooth I and the rotor tooth IGⅡRepresenting the air gap reluctance, R, between stator teeth I and rotor teeth IIGⅢRepresenting the air gap reluctance, R, between stator teeth II and rotor teeth IIGⅣRepresenting the air gap reluctance between the stator middle tooth II and the rotor tooth III；RGⅤRepresenting the air gap reluctance, R, between the stator intermediate tooth I and the rotor tooth IIGⅥRepresenting the air gap magnetic resistance between the stator teeth II and the rotor teeth III; rr1、Rr2And Rr3Respectively the magnetic resistance of three rotor teeth; phiⅠ、ΦⅡ、ΦⅢAnd phiⅣRespectively representing the magnetic flux, phi, flowing through the stator intermediate teeth I, the stator teeth II and the stator intermediate teeth IIⅤIs the air gap flux between the stator middle tooth I and the rotor tooth IIⅥIs the air gap flux between stator tooth II and rotor tooth III.
And integrating the n regions to obtain an equivalent magnetic circuit model of the hybrid excitation axial flux switching motor.

Claims (5)

1. A modeling method of an equivalent magnetic circuit of a hybrid excitation axial flux switching motor relates to a novel axial hybrid excitation motor, adopts a structure of double stators and single rotors, mainly comprises a stator, a rotor, a permanent magnet, an armature winding and an excitation winding, and determines the sizes of the permanent magnet, the stator, the rotor, an air gap and other parts of the hybrid excitation axial flux switching motor, and is characterized in that the modeling process comprises the following steps:
step 1: the permanent magnet is equivalent to a magnetomotive force source FpmAnd internal resistance Rpm；
Step 2: dividing the rotor position in a half period into n regions according to the relative positions of the stator teeth and the rotor teeth at the inner diameter and the outer diameter, and calculating the magnetic resistance of a stator core and a rotor core and the magnetic resistance of an air gap in each region;
step 3, establishing an equivalent magnetic circuit model of each region by combining the equivalent magnetic resistance of each part;
and 4, finishing the motor modeling process.
2. The modeling method of claim 1, wherein in step 2, the stator-rotor core reluctance is composed of four parts including reluctance R of the stator yokesty、RsyMagnetic resistance R of stator teethstt1、Rstt2StatorMagnetic resistance R of the intermediate toothsmtAnd reluctance R of rotor teethr；Rsty、Rstt1And Rstt2Are all linear magneto-resistance, Rsy、RsmtAnd RrUsing nonlinear magneto-resistance, the expression for each magneto-resistance is as follows:
Figure FDA0001905905640000011
Figure FDA0001905905640000012
Figure FDA0001905905640000013
Figure FDA0001905905640000014
Figure FDA0001905905640000015
3. the modeling method according to claim 1, wherein in the step 2, the air gap magnetic resistance is researched by using a flux tube segmentation method, and an elliptical arc is used for cutting the air gap instead of a traditional circular arc; analyzing the air gap magnetic field distribution at different positions, summarizing to obtain six typical air gap flux tube types, and introducing a proportionality coefficient k1And k2The expression of the magnetic resistance of each flux tube is as follows:
Figure FDA0001905905640000016
Figure FDA0001905905640000017
Figure FDA0001905905640000021
Figure FDA0001905905640000022
Figure FDA0001905905640000023
Figure FDA0001905905640000024
4. the modeling method according to claim 1, wherein in the step 3, parameters such as magnetic resistance and magnetomotive force obtained through calculation are connected through magnetomotive force nodes to obtain an equivalent magnetic circuit of each rotor position area, and n areas are integrated to obtain an equivalent magnetic circuit model of the hybrid excitation axial flux switching motor.
5. The modeling method according to claim 1, wherein in the step 1, the permanent magnet is equivalent to a magnetomotive force source FpmAnd an internal reluctance RpmThe calculation formula of the magnetomotive force source is Fpm＝HchmThe calculation formula of the internal magnetic resistance is Rpm＝hm/(μ0lpmls) (ii) a The leakage magnetic of the motor mainly exists at the end part of the permanent magnet, and the calculation formula of the leakage magnetic resistance is Rleak＝1/(0.26μ0li)。
CN201811532046.2A 2018-12-14 2018-12-14 Modeling method for equivalent magnetic circuit of hybrid excitation axial flux switching motor Pending CN111327170A (en)

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CN111931406A (en) * 2020-08-07 2020-11-13 南京工程学院 Method for establishing dynamic equivalent magnetic network model of axial permanent magnetic suspension flywheel motor
CN116992723A (en) * 2023-07-31 2023-11-03 重庆理工大学 Motor dynamic magnetic network modeling method
CN117013598A (en) * 2023-07-10 2023-11-07 中节能(象山)环保能源有限公司 Outlet voltage constant voltage control method, system, storage medium and intelligent terminal
CN117634397A (en) * 2023-12-01 2024-03-01 安徽工程大学 Multi-objective optimization method and system based on two-dimensional equivalent model of axial flux permanent magnet motor

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Publication number Priority date Publication date Assignee Title
CN111931406A (en) * 2020-08-07 2020-11-13 南京工程学院 Method for establishing dynamic equivalent magnetic network model of axial permanent magnetic suspension flywheel motor
CN111931406B (en) * 2020-08-07 2024-05-03 南京工程学院 Method for establishing dynamic equivalent magnetic network model of axial permanent magnet magnetic suspension flywheel motor
CN117013598A (en) * 2023-07-10 2023-11-07 中节能(象山)环保能源有限公司 Outlet voltage constant voltage control method, system, storage medium and intelligent terminal
CN116992723A (en) * 2023-07-31 2023-11-03 重庆理工大学 Motor dynamic magnetic network modeling method
CN116992723B (en) * 2023-07-31 2024-01-16 重庆理工大学 Motor dynamic magnetic network modeling method
CN117634397A (en) * 2023-12-01 2024-03-01 安徽工程大学 Multi-objective optimization method and system based on two-dimensional equivalent model of axial flux permanent magnet motor
CN117634397B (en) * 2023-12-01 2024-05-28 安徽工程大学 Multi-objective optimization method and system based on two-dimensional equivalent model of axial flux permanent magnet motor

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Application publication date: 20200623