CN110401273B - Low-harmonic fractional slot concentrated winding design method - Google Patents

Low-harmonic fractional slot concentrated winding design method Download PDF

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CN110401273B
CN110401273B CN201910679105.7A CN201910679105A CN110401273B CN 110401273 B CN110401273 B CN 110401273B CN 201910679105 A CN201910679105 A CN 201910679105A CN 110401273 B CN110401273 B CN 110401273B
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slot
coil
turns
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CN110401273A (en
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刘家琦
郑萍
白金刚
刘国鹏
杨士杰
杨龙龙
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Harbin Institute of Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K1/00Details of the magnetic circuit
    • H02K1/06Details of the magnetic circuit characterised by the shape, form or construction
    • H02K1/12Stationary parts of the magnetic circuit
    • H02K1/16Stator cores with slots for windings
    • H02K1/165Shape, form or location of the slots
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K3/00Details of windings
    • H02K3/04Windings characterised by the conductor shape, form or construction, e.g. with bar conductors
    • H02K3/12Windings characterised by the conductor shape, form or construction, e.g. with bar conductors arranged in slots
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K3/00Details of windings
    • H02K3/04Windings characterised by the conductor shape, form or construction, e.g. with bar conductors
    • H02K3/28Layout of windings or of connections between windings

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Abstract

Low-harmonic fractional slot concentrated winding design methodThe invention belongs to the field of permanent magnet synchronous motors, and aims to solve the problem that the existing scheme that fractional-slot concentrated windings limit the turn ratio of series coils through a fixed proportion lacks universality. The method comprises the following steps: total number n of conductors of A-phase winding in any stator slotiPush button
Figure DDA0002144210110000011
Obtaining; the total conductor number of other phase windings in any stator slot is obtained according to the electrical angle of the A phase after the phase lag and the total conductor number of the A phase winding; and acquiring the number of turns of the coil of each phase in any stator slot according to the total number of conductors of each phase in any stator slot, and finishing the winding design. The phase A winding is formed by connecting Q coils with different turns in series, and the number of turns N of the coil from 1 to Q of the phase A winding is NiPush button
Figure DDA0002144210110000012
And (6) obtaining.

Description

Low-harmonic fractional slot concentrated winding design method
Technical Field
The invention belongs to the field of permanent magnet synchronous motors, and relates to a technology for eliminating armature harmonic waves.
Background
The fractional slot concentrated winding motor has the advantages of small torque fluctuation, short winding end and the like, and is widely applied to the fields of aerospace, electric automobiles and the like at present. However, fractional slot concentrated winding motors still have certain problems and drawbacks compared to integer slot motors. The biggest problem is that when the armature of the fractional-slot concentrated winding motor is electrified, a large amount of harmonic magnetic fields are generated in an air gap besides a main magnetic field which is the same as the pole pair number of the permanent magnet rotor. On one hand, the rich harmonic magnetic fields can generate eddy current loss in the permanent magnet, so that the temperature rise of the rotor is high, on the other hand, the stator iron core can generate obvious vibration, and the noise of the motor is increased.
The harmonic content of the armature magnetomotive force is determined by the winding arrangement mode, and the armature harmonic magnetomotive force can be reduced by designing the windings. However, in the conventional fractional slot concentrated winding motor, each phase of winding is formed by connecting a plurality of coils with the same number of turns in series, at most two layers of coils are arranged in each stator slot, and the number of conductors in each slot is the same, so that the design freedom of the winding is greatly limited, and the reduction of the armature harmonic magnetomotive force of the fractional slot concentrated winding is not facilitated.
In order to solve the problems, researchers provide a design method of unequal-turn windings of a fractional slot concentrated winding motor, namely, at most four layers of coils are placed in each stator slot, each phase of winding is formed by connecting two or more coils with different turns in series, and armature harmonic magnetomotive force is reduced by adjusting the turn ratio of the coils. This method works well but has certain limitations. For one, the existing method generally sets the number of turns of each coil of a phase winding to a fixed ratio, for example, the turn ratio of two turns of coils in series is 2:1 or 1.73: 1. This ratio works well for some motors with a specific number of slots, but when the number of slots is changed, the original coil turns ratio is not necessarily appropriate, and the coil turns ratio needs to be redesigned. That is, the existing methods lack versatility for different pole slot machines. Secondly, the existing method only weakens part of the magnetomotive force of the armature harmonic wave, but not completely eliminates the magnetomotive force.
Disclosure of Invention
The invention aims to solve the problem that the existing fractional slot concentrated winding is lack of universality by a scheme of limiting the turn ratio of a series coil through a fixed proportion, and provides a design method of a fractional slot concentrated winding with low harmonic to eliminate various rich harmonics in a fractional slot concentrated winding motor.
The invention relates to a design method of a fractional slot concentrated winding with low harmonic, which comprises the following steps:
total number n of conductors of A-phase winding in any stator slotiObtained as follows:
Figure BDA0002144210090000021
in the formula: n is a radical ofsIs the turns coefficient of the series coil, NsTaking a positive integer, wherein Q is the number of stator slots of the motor;
p is the number of pole pairs of the motor;
the total conductor number of other phase windings in any stator slot is obtained according to the electrical angle of the A phase after the phase lag and the total conductor number of the A phase winding;
and acquiring the number of turns of the coil of each phase in any stator slot according to the total number of conductors of each phase in any stator slot, and finishing the winding design.
Preferably, Ns=10~40。
Preferably, the number of coil turns of each phase in any stator slot is obtained according to the total number of conductors of each phase in any stator slot:
the phase A winding is formed by connecting Q coils with different turns in series, and the number of turns N of the coil from 1 to Q of the phase A winding is NiObtained as follows:
Figure BDA0002144210090000022
nkthe total number of conductors of the A-phase winding in the k-th slot is 1,2,3,. and i;
Nithe result is positive for a positive winding, NiThe result being negative for the contrawound coil, NiA result of 0 indicates no coil.
Preferably, the coil number i of the phase a winding is wound in the slot number i and the slot number i +1, and when i ═ Q, the coil number i is wound in the slot number Q and the slot number 1.
The invention has the beneficial effects that:
the difference between the low harmonic fractional slot concentrated winding and the traditional fractional slot concentrated winding and the existing unequal-turn fractional slot concentrated winding is as follows: the scheme provided by the invention has the advantages that each phase of winding is distributed with conductors in all stator slots, and the number of the conductors is different, so that the content of armature magnetomotive force harmonic waves is reduced. It can be proved that the low-harmonic-fraction slot concentrated winding provided by the invention can only generate armature harmonic magnetomotive force with the pole pair number kQ +/-p theoretically, and the harmonic content of the armature magnetomotive force is greatly reduced. Meanwhile, the sum of the number of the phase winding conductors in each stator slot is approximately the same, and the approximately same slot filling rate of each slot is ensured.
The low-harmonic fractional slot concentrated winding provided by the invention reserves the advantage of short end part of the traditional fractional slot concentrated winding, and simultaneously, the content of the generated armature magnetomotive force harmonic wave is far lower than that of the traditional fractional slot concentrated winding, so that the loss of a rotor can be obviously reduced, the efficiency of a motor is improved, and the vibration and the noise of the motor are improved. The low-harmonic fractional slot concentrated winding provided by the invention also has a high-sine no-load counter potential, and is particularly suitable for the field of servo driving with higher requirements on the control performance of a motor. The invention has wide application range and strong universality, and can be applied to fractional slot concentrated winding motors with any phase number and any slot number.
Drawings
Fig. 1 is a distribution diagram of winding coils of each phase in each slot of a motor according to the first embodiment;
fig. 2 is a distribution diagram of winding coils of each phase in each slot of the motor of the second embodiment;
fig. 3 is a distribution diagram of the winding coils of the respective phases in the respective slots of the motor according to the third embodiment.
Detailed Description
The following detailed description of the embodiments of the present invention will be provided with reference to the drawings and examples, so that how to apply the technical means to solve the technical problems and achieve the technical effects can be fully understood and implemented. It should be noted that, as long as there is no conflict, the embodiments and the features of the embodiments of the present invention may be combined with each other, and the technical solutions formed are within the scope of the present invention.
In a fractional slot concentrated winding motor with m phases, Q slots and 2p poles, each phase of winding is formed by connecting Q coils in series. The number of turns of each coil is different (when the number of turns is 0, the coil is not wound), and the coils are respectively wound on Q stator teeth.
And taking the axial position of a certain stator tooth as a space angle zero point, wherein the space angle is increased along the anticlockwise direction. Starting from zero, the first slot in the counterclockwise direction is denoted slot number 1, and slot number 2, slot number 3 … through slot number Q may be defined in that order. And winding a coil No. 1 in the slot No. 1 and the slot No. 2 (namely on the 1 st stator tooth), winding a coil No. 2 in the slot No. 2 and the slot No. 3 (namely on the 2 nd stator tooth), and so on, winding a coil No. Q in the slot No. Q and the slot No. 1 (namely on the Q th stator tooth). And if the number of turns of a certain coil is 0, the corresponding stator teeth are not wound.
The total number of conductors of the A-phase winding in each slot is proportional to the cosine of the electrical angle at which the slot is located, i.e. the number of windings in phase
Figure BDA0002144210090000031
In the formula n1、n2…nQThe total number of conductors of the a-phase winding in each slot indicates that the positive direction of the current in the conductor is flowing when the value is positive, and indicates that the positive direction of the current in the conductor is flowing when the value is negative. N is a radical ofsThe turn coefficient of the series coil is the ratio of the total number of conductors of the A-phase winding in each slot to the cosine value of the electrical angle of the slot, and the variable determines the number of series turns of the A-phase winding. N is a radical ofsThe larger the value is, the more the number of turns of the A-phase winding in series is, and the N can be set according to the actual requirement during the motor designsAnd taking values, wherein the selection range is generally 10-40.
The number of conductors in each slot calculated according to the formula (1) is not necessarily an integer, and then the number of conductors in the slot needs to be rounded according to a rounding rule, that is to say
Figure BDA0002144210090000041
The coil is wound from the No. 1 slot, all conductors of the No. 1 slot and the conductors with the corresponding number of the No. 2 slot form the No. 1 coil, the rest conductors of the No. 2 slot and the conductors with the corresponding number of the No. 3 slot form the No. 2 coil, and by analogy, at most Q coils can be wound. The number of turns of each coil constituting the a-phase winding can be expressed as
Figure BDA0002144210090000042
N in formula (3)iThe number of turns of the i-th coil of the A-phase winding is positive when the value is positive, and is reverse when the value is negative.
The number of turns of each coil of the other m-1 phase windings is set to be the same as that of the A phase winding, and the coils are sequentially delayed in spatial position only
Figure BDA0002144210090000043
And in the electrical angle, according to the lagging electrical angle and the arrangement result of the A-phase winding, the arrangement result of the number of turns of the coils of other phase windings can be easily obtained.
The first embodiment is as follows: fig. 1 is a winding layout diagram of a three-phase 9-slot 8-pole fractional-slot concentrated winding motor designed according to the method of the invention, and the three-phase 9-slot 8-pole fractional-slot concentrated winding motor is a typical three-phase fractional-slot concentrated winding motor with odd slot numbers.
The three-phase 9-slot 8-pole fractional-slot motor has the inherent parameters of: m is 3, Q is 9, and 2p is 8.
Selecting Ns=20。
The total conductor number n of the A-phase winding in the No. 1 to No. Q slots can be obtained according to the formula (1) and the formula (2)1,n2,…,ni,…,nQThe calculation results are shown in the following table, where a positive number of conductors indicates that a positive direction of current flows in the conductor, and a negative number of conductors indicates that a positive direction of current flows out of the conductor.
Figure BDA0002144210090000044
The following table shows the number of turns of the phase a winding obtained by equation (3). The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9
Number of turns of coil 4 -6 9 -10 10 -9 6 -4 0
The No. 1 coil is wound on the No. 1 stator tooth, namely in the No. 1 groove and the No. 2 groove, and is wound in the forward direction, and the number of turns is 4;
the No. 2 coil is wound on the No. 2 stator tooth, namely in the No. 2 groove and the No. 3 groove, and is wound in the reverse direction, and the number of turns is 6;
then, the total number of conductors in slot No. 2 is 4+6 to 10. To illustrate the relationship between the total number of conductors in the slot and the number of turns of the coil, the sign is ignored, and the same is used below.
The No. 3 coil is wound on the No. 3 stator tooth, namely in the No. 3 groove and the No. 4 groove, and is wound in the forward direction, and the number of turns is 9;
the total number of conductors in slot No. 3 is 6+9 to 15.
The No. 4 coil is wound on the No. 4 stator tooth, namely in the No. 4 groove and the No. 5 groove, and is wound in the reverse direction, and the number of turns is 10;
the total number of conductors in slot No. 4 is 9+10 to 19.
The No. 5 coil is wound on the No. 5 stator tooth, namely in the No. 5 groove and the No. 6 groove, and is wound in the forward direction, and the number of turns is 10;
then, the total number of conductors in slot No. 5 is 10+10 to 20.
The No. 6 coil is wound on the No. 6 stator tooth, namely in the No. 6 groove and the No. 7 groove, and is wound in the reverse direction, and the number of turns is 9;
then, the total number of conductors in slot No. 6 is 10+9 to 19.
The No. 7 coil is wound on the No. 7 stator tooth, namely in the No. 7 groove and the No. 8 groove, and is wound in the forward direction, and the number of turns is 6;
the total number of conductors in slot No. 7 is 9+ 6-15.
The No. 8 coil is wound on the No. 8 stator tooth, namely in the No. 8 groove and the No. 9 groove, and is wound in the reverse direction, and the number of turns is 4;
then, the total number of conductors in slot No. 8 is 6+4 to 10.
The number of turns of coil 9 is 0, which means that no coil is wound in the slot 9 and the slot 1 (on the 9 th stator tooth).
The total number of conductors in slot No. 9 is 4+0 to 4.
The B-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000051
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000052
The electrical angle formed for each coil turn of the B-phase winding is shown in the table below. Positive winding coil when the number of turns of coil is positive, and negative winding coil when the number of turns of coil is negativeShown as a rewind coil.
Coil number 1 2 3 4 5 6 7 8 9
Number of turns of coil 6 -4 0 4 -6 9 -10 10 -9
C-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000053
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000054
The electrical angle formed for each coil turn of the C-phase winding is shown in the table below. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9
Number of turns of coil -10 10 -9 6 -4 0 4 -6 9
The motor designed according to the winding arrangement scheme can eliminate most harmonic components, only a harmonic magnetic field with the pole pair number of 9k +/-4 is left, the harmonic components are greatly reduced, and the motor performance is improved.
The motor designed according to the winding arrangement scheme can be subjected to simulation test, and N can be properly adjusted if no-load counter potential is not ideal in sizesThe number of turns of each phase in series is adjusted so as to obtain a motor with better performance.
Example two:
fig. 2 is a winding layout of a three-phase 24-slot 26-pole fractional-slot concentrated winding motor in the second embodiment, and the three-phase 24-slot 26-pole fractional-slot concentrated winding motor is a typical three-phase fractional-slot concentrated winding motor with an even number of slots.
The intrinsic parameters of the three-phase 24-slot 26-pole fractional-slot concentrated winding motor are as follows: m is 3, Q is 24, and 2p is 26.
Selecting Ns=20。
Will NsIn formula (1) and formula (2) of 20, first, the total number of conductors n of the a-phase winding in each slot is determined1,n2,…,ni,…,nQThe calculation results are shown in the following table. The positive number of conductors indicates that the positive direction of the current flows in the conductor, and the negative number of conductors indicates that the positive direction of the current flows out of the conductor.
Figure BDA0002144210090000061
The following table shows the number of turns of the phase a winding obtained by equation (3). The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10 11 12
Number of turns of coil -3 5 -7 9 -9 11 -9 9 -7 5 -3 0
Coil number 13 14 15 16 17 18 19 20 21 22 23 24
Number of turns of coil 3 -5 7 -9 9 -11 9 -9 7 -5 3 0
The B-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000062
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000063
The electrical angle formed for each coil turn of the B-phase winding is shown in the table below. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10 11 12
Number of turns of coil 9 -11 9 -9 7 -5 3 0 -3 5 -7 9
Coil number 13 14 15 16 17 18 19 20 21 22 23 24
Number of turns of coil -9 11 -9 9 -7 5 -3 0 3 -5 7 -9
C-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000071
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000072
The electrical angle formed for each coil turn of the C-phase winding is shown in the table below. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10 11 12
Number of turns of coil -7 5 -3 0 3 -5 7 -9 9 -11 9 -9
Coil number 13 14 15 16 17 18 19 20 21 22 23 24
Number of turns of coil 7 -5 3 0 -3 5 -7 9 -9 11 -9 9
According to the winding distribution scheme, most harmonic components can be eliminated, only the harmonic magnetic field with the pole pair number of 24k +/-13 is left, the harmonic components are greatly reduced, and the motor performance is improved.
The motor designed according to the winding arrangement scheme can be subjected to simulation test, and N can be properly adjusted if no-load counter potential is not ideal in sizesThe number of turns of each phase in series is adjusted so as to obtain a motor with more excellent performance.
Example three:
fig. 3 is a winding layout of a five-phase 20-slot 22-pole fractional-slot concentrated winding motor in accordance with a third embodiment. A five-phase 20-slot 22-pole fractional-slot concentrated winding motor is a typical multi-phase fractional-slot concentrated winding motor.
The inherent parameters of the five-phase 20-slot 22-pole fractional-slot concentrated winding motor are as follows: m is 5, Q is 20, and 2p is 22.
Selecting Ns=20。
Will, NsIn formula (1) and formula (2) of 20, first, the total number of conductors n of the a-phase winding in each slot is determined1,n2,…,ni,…,nQThe calculation results are shown in the following table. The positive number of conductors indicates that the positive direction of the current flows in the conductor, and the negative number of conductors indicates that the positive direction of the current flows out of the conductor.
Groove number 1 2 3 4 5 6 7 8 9 10
Calculated value of conductor number -3.1 9.1 -14.1 17.8 -19.8 19.8 -17.8 14.1 -9.1 3.1
Final value of conductor number -3 9 -14 18 -20 20 -18 14 -9 3
Groove number 11 12 13 14 15 16 17 18 19 20
Calculated value of conductor number 3.1 -9.1 14.1 -17.8 19.8 -19.8 17.8 -14.1 9.1 -3.1
Final value of conductor number 3 -9 14 -18 20 -20 18 -14 9 -3
The following table shows the number of turns of the phase a winding obtained by equation (3). The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10
Number of turns of coil -3 6 -8 10 -10 10 -8 6 -3 0
Coil number 11 12 13 14 15 16 17 18 19 20
Number of turns of coil 3 -6 8 -10 10 -10 8 -6 3 0
The B-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000081
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000082
The electrical angle formed for each coil turn of the B-phase winding is shown in the table below. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10
Number of turns of coil 8 -6 3 0 -3 6 -8 10 -10 10
Coil number 11 12 13 14 15 16 17 18 19 20
Number of turns of coil -8 6 -3 0 3 -6 8 -10 10 -10
C-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000083
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000084
The electrical angle formed for each coil turn of the C-phase winding is shown in the table below. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10
Number of turns of coil 8 -10 10 -10 8 -6 3 0 -3 6
Coil number 11 12 13 14 15 16 17 18 19 20
Number of turns of coil -8 10 -10 10 -8 6 -3 0 3 -6
Lagging D-phase winding axis by A-phase winding axis
Figure BDA0002144210090000085
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000086
The number of turns of each coil of the D-phase winding formed in the electrical angle is as followsShown in the table. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10
Number of turns of coil -3 0 3 -6 8 -10 10 -10 8 -6
Coil number 11 12 13 14 15 16 17 18 19 20
Number of turns of coil 3 0 -3 6 -8 10 -10 10 -8 6
The E-phase winding axis lags the A-phase winding axis
Figure BDA0002144210090000087
Electrical angle. Thereby shifting the arrangement of the A-phase winding
Figure BDA0002144210090000088
The electrical angle forms the respective number of coil turns for the E-phase winding as shown in the table below. The positive number of turns of the coil indicates a positive winding, and the negative number of turns of the coil indicates a reverse winding.
Coil number 1 2 3 4 5 6 7 8 9 10
Number of turns of coil -10 10 -8 6 -3 0 3 -6 8 -10
Coil number 11 12 13 14 15 16 17 18 19 20
Number of turns of coil 10 -10 8 -6 3 0 -3 6 -8 10
According to the winding arrangement scheme, most harmonic components can be eliminated, only the harmonic magnetic field with the pole pair number of 20k +/-11 is left, the harmonic components are greatly reduced, and the motor performance is improved.
The motor designed according to the winding arrangement scheme can be subjected to simulation test, and N can be properly adjusted if no-load counter potential is not ideal in sizesThe number of turns of each phase in series is adjusted so as to obtain a motor with more excellent performance.
The above description is only three exemplary embodiments of the present invention, and is not intended to limit the present invention in any way. Although the present invention has been described with reference to exemplary embodiments, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (3)

1. The design method of the fractional slot concentrated winding with low harmonic is characterized by comprising the following steps:
total number n of conductors of A-phase winding in any stator slotiObtained as follows:
Figure FDA0002784685450000011
in the formula: n is a radical ofsIs the turns coefficient of the series coil, NsTaking a positive integer, wherein Q is the number of stator slots of the motor;
p is the number of pole pairs of the motor;
the total conductor number of other phase windings in any stator slot is obtained according to the electrical angle of the A phase after the phase lag and the total conductor number of the A phase winding;
and acquiring the number of turns of the coil of each phase in any stator slot according to the total number of conductors of each phase in any stator slot, and finishing the winding design:
the phase A winding is formed by connecting Q coils with different turns in series, and the number of turns N of the coil from 1 to Q of the phase A winding is NiObtained as follows:
Figure FDA0002784685450000012
nkthe total number of conductors of the A-phase winding in the k-th slot is 1,2,3,. and i;
Nithe result is positive for a positive winding, NiThe result being negative for the contrawound coil, NiA result of 0 indicates no coil.
2. The design method of the low-harmonic fractional-slot concentrated winding according to claim 1, wherein the i-type coil of the a-phase winding is wound in the i-type slot and the i + 1-type slot, and when i-Q, the i-type coil is wound in the Q-type slot and the 1-type slot.
3. The low harmonic fractional slot concentrated winding design method of claim 1, wherein N iss=10~40。
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