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CN112671135A - Method for optimizing four-section Halbach array surface-mounted permanent magnet motor - Google Patents

Method for optimizing four-section Halbach array surface-mounted permanent magnet motor Download PDF

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CN112671135A
CN112671135A CN202011560761.4A CN202011560761A CN112671135A CN 112671135 A CN112671135 A CN 112671135A CN 202011560761 A CN202011560761 A CN 202011560761A CN 112671135 A CN112671135 A CN 112671135A
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magnetization
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CN112671135B (en
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倪有源
江昕
黄亚
肖本贤
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Hefei University of Technology
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Abstract

本发明公开了一种优化四段Halbach阵列表贴式永磁电机的方法，N极第一段、第二段永磁的磁化角为磁化方向与顺时针圆周切向方向的夹角；N极第三段、第四段永磁的磁化角为磁化方向与逆时针圆周切向方向的夹角；S极第一段、第二段永磁的磁化角为磁化方向与逆时针圆周切向方向的夹角；S极第三段、第四段永磁的磁化角为磁化方向与顺时针圆周切向方向的夹角；每极的第二段与第三段两段永磁的极弧系数比为一定值，转子与对应的定子配合构成四段Halbach永磁电机。本发明可以提高电机径向气隙磁密基波幅值，减小气隙磁密的谐波分量，从而在相同的体积和永磁用量下，提高输出转矩，提高电机的转矩密度和功率密度，具有更优秀的电磁性能。

Figure 202011560761

The invention discloses a method for optimizing a surface-mounted permanent magnet motor of a four-segment Halbach array. The magnetization angle of the first segment and the second segment of the N-pole permanent magnet is the angle between the magnetization direction and the clockwise circumferential tangential direction; The magnetization angle of the third and fourth permanent magnets is the angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the first and second S-pole permanent magnets is the magnetization direction and the counterclockwise circumferential tangential direction The angle of magnetization of the third and fourth permanent magnets of the S pole is the angle between the magnetization direction and the clockwise circumferential tangential direction; the pole arc coefficient of the second and third permanent magnets of each pole The ratio is a certain value, and the rotor and the corresponding stator cooperate to form a four-stage Halbach permanent magnet motor. The invention can increase the fundamental wave amplitude of the radial air gap magnetic density of the motor and reduce the harmonic component of the air gap magnetic density, so that the output torque can be improved under the same volume and permanent magnet amount, and the torque density and Power density, with better electromagnetic performance.

Figure 202011560761

Description

Method for optimizing four-section Halbach array surface-mounted permanent magnet motor
Technical Field
The invention relates to the technical field of permanent magnet motors, in particular to an optimized four-section Halbach array surface-mounted permanent magnet motor.
Background
The permanent magnet motor has the advantages of high output efficiency, small volume, high power density and the like, and has very wide application in the fields of aerospace, national defense, transportation, new energy, public life and the like. The surface-mounted permanent magnet motor of the Halbach array can be divided into two sections, three sections, four sections and up to n sections according to the number of the sections of the permanent magnet under each pole. Theoretically, the larger the number of the sections of the Halbach array is, the closer the radial air gap flux density of the motor is to a sine wave, and the better the electromagnetic performance is. But as the number of stages increases, the complexity of the fabrication process increases. In view of production practice, permanent magnet machines with a few limited-section Halbach arrays are generally being investigated.
Disclosure of Invention
The invention aims to overcome the defects of low torque density, low power density and the like of a surface-mounted permanent magnet motor in the prior art, and provides a method for optimizing a four-section Halbach array surface-mounted permanent magnet motor.
The invention is realized by the following technical scheme:
the utility model provides an optimize four sections Halbach array table and paste formula permanent-magnet machine, including rotor and the stator that corresponds rather than the rotor, the rotor constitute by optimizing four sections Halbach arrays, four sections Halbach array every utmost point constitute by four sections adjacent and axisymmetric permanent magnetism, the symmetry axis is the geometric center of second section and third section permanent magnetism. The pole arc coefficient ratio of the permanent magnets of the second section and the third section is RmpThe magnetization angle of the first and fourth permanent magnets is delta theta1The magnetization angle of the second and third permanent magnets is delta theta2The N pole first section and the N pole second section of the permanent magnet are acute angles, and the magnetization angles of the N pole first section and the N pole second section of the permanent magnet are included angles between the magnetization direction and the clockwise circumferential tangential direction; the magnetization angle of the third section and the fourth section of the N-pole permanent magnet is an included angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the first section and the second section of the S pole permanent magnet is an included angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the third section of S pole permanent magnet and the fourth section of S pole permanent magnet is the included angle between the magnetization direction and the clockwise circumferential tangential direction, and the rotor and the corresponding stator are matched to form the four-section Halbach array surface-mounted permanent magnet motor.
The ratio of the magnetization angles and the permanent magnet pole arc coefficients of the four-section Halbach array is calculated by an analytical method to obtain: firstly, a function expression of the no-load radial air gap flux density of the slotless permanent magnet motor is obtained through an analytical method, and then the optimization parameter design is carried out on the no-load radial air gap flux density fundamental wave function of the slotless motor by utilizing a genetic algorithm, so that the magnetization angle and the permanent magnet pole arc coefficient ratio of the slotless motor when the no-load radial air gap flux density fundamental wave amplitude is maximum are obtained.
The following is a specific calculation procedure.
The magnetization of a four-segment Halbach array in one electrical cycle can be written as a piecewise function as follows:
Figure BDA0002860359890000021
Figure BDA0002860359890000022
Figure BDA0002860359890000023
Figure BDA0002860359890000024
Figure BDA0002860359890000025
Figure BDA0002860359890000026
Figure BDA0002860359890000027
Figure BDA0002860359890000028
in the formula: delta1＝(1+Rmp)π/(4p)，δ2＝Rmpπ/(4p), p is the number of polar pairs, RmpThe ratio of permanent magnet pole arc coefficients of the second section and the third section, BrIs remanence of permanent magnet, Delta theta1Is the magnetization angle of the first and fourth permanent magnets, Delta theta2The magnetization angle of the second section of permanent magnet and the third section of permanent magnet, and theta is the position angle of the rotor.
To MrAnd MθRespectively carrying out Fourier decomposition to obtain
Figure BDA0002860359890000031
According to the Laplace equation, the quasi-Poisson equation and the boundary conditions of the magnetic field, the obtained no-load radial air gap flux density of the slotless permanent magnet motor is as follows:
Figure BDA0002860359890000032
Figure BDA0002860359890000033
Figure BDA0002860359890000034
Figure BDA0002860359890000035
Figure BDA0002860359890000036
Figure BDA0002860359890000037
Mn＝Mrn+npMθn
in the formula: r is the distance from a certain point in the air gap to the center of the circle, RsIs the stator inner radius, Rm1Is the outer radius of the permanent magnet, Rm2Is the inner radius of the permanent magnet, RrIs the outer radius of the rotor, and Rm2＝Rr，μ0Is magnetic permeability of vacuum, murIs the relative permeability of the permanent magnet.
In equation (10), let n be 1, and take the fundamental coefficient to obtain the fundamental amplitude of the radial air gap flux density of the slotless permanent magnet motor:
Br1＝f(Δθ1,Δθ2,Rmp) (11)
i.e. the fundamental amplitude B of the magnetic flux density of the slotless radial air gapr1Is an angle Δ θ with the magnetization1、Δθ2And the pole arc coefficient ratio RmpThe associated ternary function.
The ternary function is optimized and calculated by using a genetic algorithm, and an objective optimization function is as follows:
max{f(Δθ1,Δθ2,Rmp)} (12)
where Δ θ1Is the magnetization angle of the first and fourth permanent magnets, Delta theta2The magnetization angle R of the permanent magnet of the second section and the third sectionmpThe pole arc coefficient ratio of the permanent magnets of the second section and the third section is shown.
Wherein, inequality constraint conditions of each magnetization angle and permanent magnet pole arc coefficient ratio are as follows:
Figure BDA0002860359890000041
and when the optimization termination condition is met, selecting the optimal permanent magnet magnetization angle and the optimal pole arc coefficient ratio. The respective magnetization angles and pole-arc coefficient ratios in the objective function can then be obtained.
The invention has the advantages that: the invention applies the characteristic of the Halbach array to ensure that the flux density of the slotless air gap is close to sinusoidal distribution, so that the traditional four-section Halbach array is optimized and designed into the four-section Halbach array, the fundamental amplitude of the radial air gap flux density of the slotless motor can be improved, and the harmonic component of the air gap flux density is reduced. In a slotted motor, the optimized four-section Halbach array permanent magnet motor has larger amplitude of the fundamental wave of the air gap flux density and the air gap flux density is closer to a sine wave, so that the output torque can be improved under the same volume and the same permanent magnet consumption, the torque density and the power density of the motor can be improved, and the slot motor is also suitable for a rotor-free iron core motor and an outer rotor motor. For practical production, the four sections of magnetic poles are symmetrical pairwise, so that a large amount of extra work is not brought to practical production, and the complexity of processing and manufacturing is not increased remarkably.
Drawings
FIG. 1 is a schematic diagram of a four-stage Halbach array according to the present invention.
Fig. 2 is a schematic structural diagram of a four-segment Halbach permanent magnet motor of the present invention.
Detailed Description
As shown in fig. 1 and 2, an optimized four-segment Halbach array surface-mounted permanent magnet motor comprises a rotor 2 and a stator 1 corresponding to the rotor 2, wherein the rotor 2 is formed by an optimized four-segment Halbach array, each pole of the four-segment Halbach array is formed by four adjacent permanent magnets which are symmetrical in pairs, a symmetry axis is a geometric center of the second segment permanent magnet and the third segment permanent magnet, all magnetization angles delta theta of the four segments of permanent magnets are acute angles, and the magnetization angles of a first segment permanent magnet 3 and a second segment permanent magnet 4 of an N pole are included angles between a magnetization direction and a clockwise circumferential tangential direction; the magnetization angle of the N-pole third-section permanent magnet 5 and the fourth-section permanent magnet 6 is an included angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the S-pole first section permanent magnet 7 and the second section permanent magnet 8 is the included angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the S pole third section permanent magnet 9 and the fourth section permanent magnet 10 is the included angle between the magnetization direction and the clockwise circumferential tangential direction; the ratio of the second-stage permanent magnet and the third-stage permanent magnet in each pole to the whole permanent magnet pole is Rmp(ii) a The rotor 2 and the corresponding stator 1 are matched to form a four-section Halbach array surface-mounted permanent magnet motor.
The magnetization angle and the permanent magnet pole-arc ratio of the optimized four-section Halbach array are calculated by an analytical method to obtain: firstly, a function expression of the no-load radial air gap flux density of the slotless permanent magnet motor is obtained through an analytical method, and then the fundamental wave function of the no-load radial air gap flux density is optimized and calculated through a genetic algorithm, so that the optimal magnetization angle and the pole arc coefficient ratio of each section of permanent magnet when the no-load radial air gap flux density fundamental wave amplitude is maximum are obtained.
The following is a specific calculation procedure.
The magnetization of a four-segment Halbach array in one electrical cycle can be written as a piecewise function as follows:
Figure BDA0002860359890000051
Figure BDA0002860359890000052
Figure BDA0002860359890000053
Figure BDA0002860359890000054
Figure BDA0002860359890000055
Figure BDA0002860359890000056
Figure BDA0002860359890000057
Figure BDA0002860359890000058
in the formula: delta1＝(1+Rmp)π/(4p)，δ2＝Rmpπ/(4p), p is the number of polar pairs, RmpThe ratio of permanent magnet pole arc coefficients of the second section and the third section, BrIs remanence of permanent magnet, Delta theta1Is the magnetization angle of the first and fourth permanent magnets, Delta theta2The magnetization angle of the second section of permanent magnet and the third section of permanent magnet, and theta is the position angle of the rotor.
To MrAnd MθRespectively carrying out Fourier decomposition to obtain
Figure BDA0002860359890000061
According to the Laplace equation, the quasi-Poisson equation and the boundary conditions of the magnetic field, the obtained no-load radial air gap flux density of the slotless permanent magnet motor is as follows:
Figure BDA0002860359890000062
Figure BDA0002860359890000063
Figure BDA0002860359890000064
Figure BDA0002860359890000065
Figure BDA0002860359890000066
Figure BDA0002860359890000067
Mn＝Mrn+npMθn
in the formula: r is the distance from a certain point in the air gap to the center of the circle, RsIs the stator inner radius, Rm1Is the outer radius of the permanent magnet, Rm2Is the inner radius of the permanent magnet, RrIs the outer radius of the rotor, and Rm2＝Rr，μ0Is magnetic permeability of vacuum, murIs the relative permeability of the permanent magnet.
In equation (10), let n be 1, and take the fundamental coefficient to obtain the fundamental amplitude of the radial air gap flux density of the slotless permanent magnet motor:
Br1＝f(Δθ1,Δθ2,Rmp) (11)
i.e. the fundamental amplitude B of the magnetic flux density of the slotless radial air gapr1Is an angle Δ θ with the magnetization1、Δθ2And the pole arc coefficient ratio RmpThe associated ternary function.
The ternary function is optimized and calculated by using a genetic algorithm, and an objective optimization function is as follows:
max{f(Δθ1,Δθ2,Rmp)} (12)
where Δ θ1Is the magnetization angle of the first and fourth permanent magnets, Delta theta2The magnetization angle of the second-stage permanent magnet and the third-stage permanent magnet is shown, and Rmp is the pole arc coefficient ratio of the second-stage permanent magnet and the third-stage permanent magnet.
Wherein, inequality constraint conditions of each magnetization angle and permanent magnet pole arc coefficient ratio are as follows:
Figure BDA0002860359890000071
and when the optimization termination condition is met, selecting the optimal permanent magnet magnetization angle and the optimal pole arc coefficient ratio. The respective magnetization angles and pole-arc coefficient ratios in the objective function can then be obtained.
FIG. 1 is a schematic diagram of an optimized four-segment Halbach array permanent magnet structure. Each pole is composed of four sections of adjacent permanent magnets which are symmetrical in pairsThe axis is the geometric center of the middle second section of permanent magnet 4 and the third section of permanent magnet 5. All angles of magnetization Δ θ1、Δθ2Are all acute angles and are defined as: the magnetization angle of the first section of N-pole permanent magnet 3 and the second section of N-pole permanent magnet 4 is an included angle between the magnetization direction and the clockwise circumferential tangential direction; the magnetization angle of the N-pole third-section permanent magnet 5 and the fourth-section permanent magnet 6 is an included angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the S-pole first section permanent magnet 7 and the second section permanent magnet 8 is the included angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the S pole third section permanent magnet 9 and the fourth section permanent magnet 10 is the included angle between the magnetization direction and the clockwise circumferential tangential direction; the permanent magnet arc ratio of the second section and the third section of each pole is a certain value Rmp. Thus forming N, S poles alternating with each other.
Fig. 2 is a schematic structural diagram of an optimized four-segment Halbach array surface-mounted permanent magnet motor according to the invention. For comparison, an example motor is given. The example motor is a 4-pole slotless motor. The stator core and the rotor core are both made of 50W470 silicon steel sheets, and the permanent magnet is made of NdFeB N35H. The main structural parameters of the motor in the embodiment are as follows: the outer diameter of the stator is 100mm, the inner diameter of the stator is 80mm, the outer diameter of the rotor is 64mm, the shaft length of the rotor is 30mm, the height of a rotor yoke is 12mm, and the height of the permanent magnet is 6.4 mm. And obtaining the optimal magnetization angle and the optimal permanent magnet pole arc coefficient ratio by an analytical method.
Figure BDA0002860359890000072
In the optimized four-section Halbach structure, the magnetization angle delta theta of the permanent magnet at the first section and the fourth section1Is 23.6 degrees, and the magnetization angle delta theta of the permanent magnets of the second section and the third section277.2 degrees, and the pole arc coefficient ratio R of the permanent magnets of the second section and the third sectionmpIs 0.896; in the traditional four-section Halbach structure, the magnetization angle delta theta of the four-section permanent magnet1、Δθ2Are respectively 30 degrees, 45 degrees and 60 degrees, and the pole arc coefficient ratio R of the permanent magnets of the second section and the third section ismpIs 0.5, and the polar arc coefficients of each segment are equal. As can be seen from the data in the table, after the magnetization angle and the pole arc coefficient ratio are optimized, the air gap flux density amplitude of the motor is changedThe harmonic distortion ratio is reduced, and the electromagnetic performance of the motor is improved.
The optimized four-section Halbach array surface-mounted permanent magnet motor fully utilizes the characteristics of the Halbach array, can increase the fundamental wave amplitude of the radial air gap flux density of a slotless motor, and simultaneously reduces the harmonic distortion ratio of the radial air gap flux density. In the slotted motor, the optimized four-section Halbach array permanent magnet motor has larger amplitude of the fundamental wave of the air gap flux density and the air gap flux density is closer to a sine wave, so that the output torque can be improved under the condition of the same volume and the same permanent magnet consumption, and the torque density and the power density of the motor can be improved. Therefore, the invention has better electromagnetic performance on the premise of not changing the volume of the motor and the consumption of the permanent magnet.

Claims (4)

1.一种四段Halbach阵列表贴式永磁电机，包括有转子和与转子对应的定子，其特征在于：所述的转子是由四段Halbach阵列构成，所述的四段Halbach阵列的每极是由四段相邻且轴对称的永磁构成，对称轴为第二段永磁与第三段永磁的几何中心；第二段、第三段两段永磁的极弧系数比为Rmp,第一段、第四段永磁的磁化角为Δθ1，第二段、第三段永磁的磁化角为Δθ2，且都为锐角，N极第一段、第二段永磁的磁化角为磁化方向与顺时针圆周切向方向的夹角；N极第三段、第四段永磁的磁化角为磁化方向与逆时针圆周切向方向的夹角；S极第一段、第二段永磁的磁化角为磁化方向与逆时针圆周切向方向的夹角；S极第三段、第四段永磁的磁化角为磁化方向与顺时针圆周切向方向的夹角，转子与对应的定子配合构成四段Halbach阵列表贴式永磁电机。1. A four-segment Halbach array surface-mounted permanent magnet motor, comprising a rotor and a stator corresponding to the rotor, wherein the rotor is composed of four-segment Halbach arrays, and each of the four-segment Halbach arrays The pole is composed of four adjacent and axisymmetric permanent magnets, and the symmetry axis is the geometric center of the second and third permanent magnets; the pole arc coefficient ratio of the second and third permanent magnets is R mp , the magnetization angles of the first and fourth permanent magnets are Δθ 1 , the second and third permanent magnets are Δθ 2 , and they are all acute angles. The magnetization angle is the angle between the magnetization direction and the tangential direction of the clockwise circumference; the magnetization angle of the third and fourth sections of the N pole permanent magnet is the angle between the magnetization direction and the counterclockwise circumference tangential direction; the first section of the S pole, The magnetization angle of the second permanent magnet is the angle between the magnetization direction and the counterclockwise circumferential tangential direction; the magnetization angle of the third and fourth S-pole permanent magnets is the angle between the magnetization direction and the clockwise circumferential tangential direction, The rotor and the corresponding stator cooperate to form a four-segment Halbach array surface-mounted permanent magnet motor. 2.根据权利要求1所述的一种四段Halbach阵列表贴式永磁电机，其特征在于：所述的优化四段Halbach阵列的两个磁化角以及极弧系数比通过解析方法计算求得：首先通过解析方法得到无槽永磁电机空载径向气隙磁密的函数表达式，然后对于径向气隙磁密的基波函数、永磁磁化角以及极弧系数比，通过遗传算法进行优化，从而得到无槽电机径向气隙磁密的基波幅值最大时的最优磁化角以及极弧系数比。2. A four-segment Halbach array surface-mounted permanent magnet motor according to claim 1, characterized in that: the two magnetization angles and the pole-arc coefficient ratio of the optimized four-segment Halbach array are calculated and obtained by analytical method : First, the functional expression of the no-load radial air gap flux density of the slotless permanent magnet motor is obtained by the analytical method, and then for the fundamental wave function of the radial air gap flux density, the permanent magnet magnetization angle and the ratio of the pole-arc coefficients, the genetic algorithm is used. The optimization is carried out to obtain the optimal magnetization angle and pole-arc coefficient ratio when the fundamental wave amplitude of the radial air-gap flux density of the slotless motor is the largest. 3.根据权利要求2所述的一种四段Halbach阵列表贴式永磁电机，其特征在于：所述的解析方法具体步骤如下：3. a kind of four-section Halbach array surface-mounted permanent magnet motor according to claim 2, is characterized in that: the concrete steps of described analytical method are as follows: 一个电周期内具有四段Halbach阵列永磁电机的磁化强度，写成分段函数如下：The magnetization of a permanent magnet motor with a four-segment Halbach array in one electrical cycle is written as a piecewise function as follows:
Figure FDA0002860359880000011
Figure FDA0002860359880000011
Figure FDA0002860359880000012
Figure FDA0002860359880000012
Figure FDA0002860359880000013
Figure FDA0002860359880000013
Figure FDA0002860359880000021
Figure FDA0002860359880000021
Figure FDA0002860359880000022
Figure FDA0002860359880000022
Figure FDA0002860359880000023
Figure FDA0002860359880000023
Figure FDA0002860359880000024
Figure FDA0002860359880000024
Figure FDA0002860359880000025
Figure FDA0002860359880000025
 式中：δ1＝(1+Rmp)π/(4p)，δ2＝Rmp·π/(4p)，p为极对数，Rmp为第二段与第三段两段永磁的极弧系数比，Br为永磁体剩磁，Δθ1为第一段、第四段永磁的磁化角，Δθ2为第二段、第三段永磁的磁化角，θ为转子的位置角，μ0为真空的磁导率；In the formula: δ 1 =(1+R mp )π/(4p), δ 2 =R mp ·π/(4p), p is the number of pole pairs, and R mp is the second and third permanent magnets The pole-arc coefficient ratio, B r is the remanence of the permanent magnet, Δθ 1 is the magnetization angle of the first and fourth permanent magnets, Δθ 2 is the magnetization angle of the second and third permanent magnets, and θ is the rotor's magnetization angle. position angle, μ 0 is the magnetic permeability of vacuum; 对Mr和Mθ分别进行傅里叶分解，得到Fourier decomposition is performed on M r and M θ respectively, and we get
Figure FDA0002860359880000026
Figure FDA0002860359880000026
 根据磁场的拉普拉斯方程、准泊松方程以及边界条件，得到无槽电机空载径向气隙磁密为：According to the Laplace equation, quasi-Poisson equation and boundary conditions of the magnetic field, the no-load radial air gap magnetic density of the slotless motor is obtained as:
Figure FDA0002860359880000027
Figure FDA0002860359880000027
Figure FDA0002860359880000028
Figure FDA0002860359880000028
Figure FDA0002860359880000029
Figure FDA0002860359880000029
Figure FDA00028603598800000210
Figure FDA00028603598800000210
Figure FDA0002860359880000031
Figure FDA0002860359880000031
Figure FDA0002860359880000032
Figure FDA0002860359880000032
 Mn＝Mrn+npMθn M n =M rn +npM θn 式中：r为气隙某点到圆心的距离，Rs为定子内半径，Rm1为永磁的外半径，Rm2为永磁的内半径，Rr为转子外半径，且Rm2＝Rr，μ0为真空的磁导率，μr为永磁的相对磁导率；In the formula: r is the distance from a certain point of the air gap to the center of the circle, R s is the inner radius of the stator, R m1 is the outer radius of the permanent magnet, R m2 is the inner radius of the permanent magnet, R r is the outer radius of the rotor, and R m2 = R r , μ 0 is the permeability of vacuum, μ r is the relative permeability of permanent magnet; 在式(10)中，令n＝1，取基波系数，得到无槽永磁电机径向气隙磁密的基波幅值：In formula (10), let n=1, take the fundamental wave coefficient, and obtain the fundamental wave amplitude of the radial air gap flux density of the slotless permanent magnet motor: Br1＝f(Δθ1,Δθ2,Rmp) (11)B r1 =f(Δθ 1 ,Δθ 2 ,R mp ) (11) 即无槽径向气隙磁密的基波幅值Br1是与磁化角Δθ1、Δθ2以及极弧系数比Rmp有关的三元函数。That is, the fundamental wave amplitude B r1 of the slotless radial air gap magnetic density is a ternary function related to the magnetization angles Δθ 1 , Δθ 2 and the pole-arc coefficient ratio R mp . 4.根据权利要求3所述的一种优化四段Halbach阵列表贴式永磁电机，其特征在于：确定永磁用量后对Halbach永磁阵列进行充磁方式以及极弧系数比进行优化，将无槽电机的径向气隙磁密的基波利用遗传算法进行优化，其目标优化函数为：4. a kind of optimized four-segment Halbach array surface-mounted permanent magnet motor according to claim 3, is characterized in that: after determining the amount of permanent magnets, the Halbach permanent magnet array is carried out magnetization mode and pole arc coefficient ratio are optimized, and the The fundamental wave of the radial air-gap flux density of the slotless motor is optimized by genetic algorithm, and its objective optimization function is: max{f(Δθ1,Δθ2,Rmp)} (12)max{f(Δθ 1 ,Δθ 2 ,R mp )} (12) 其中Δθ1为第一段、第四段永磁的磁化角，Δθ2为第二段、第三段永磁的磁化角，Rmp为第二段与第三段两段永磁的极弧系数比；确定各磁化角和极弧系数比的边界以及线性不等式约束条件；满足优化终止条件时，选取最优化条件下的各段永磁的磁化角以及极弧系数比。where Δθ1 is the magnetization angle of the first and fourth permanent magnets, Δθ2 is the magnetization angle of the second and third permanent magnets, and Rmp is the pole arc of the second and third permanent magnets Coefficient ratio; determine the boundary and linear inequality constraints of each magnetization angle and pole-arc coefficient ratio; when the optimization termination condition is satisfied, select the magnetization angle and pole-arc coefficient ratio of each segment of permanent magnets under the optimization conditions.
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