CN113890297B - Low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor - Google Patents

Low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor Download PDF

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CN113890297B
CN113890297B CN202111172511.8A CN202111172511A CN113890297B CN 113890297 B CN113890297 B CN 113890297B CN 202111172511 A CN202111172511 A CN 202111172511A CN 113890297 B CN113890297 B CN 113890297B
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layer winding
phase
winding
harmonic
permanent magnet
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CN113890297A (en
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郑萍
黄家萱
隋义
尹佐生
杨士杰
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Harbin Institute of Technology
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Harbin Institute of Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K21/00Synchronous motors having permanent magnets; Synchronous generators having permanent magnets
    • H02K21/12Synchronous motors having permanent magnets; Synchronous generators having permanent magnets with stationary armatures and rotating magnets
    • H02K21/14Synchronous motors having permanent magnets; Synchronous generators having permanent magnets with stationary armatures and rotating magnets with magnets rotating within the armatures
    • 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
    • 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
    • H02K1/22Rotating parts of the magnetic circuit
    • H02K1/27Rotor cores with permanent magnets
    • H02K1/2706Inner rotors
    • H02K1/272Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis
    • H02K1/274Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis the rotor consisting of two or more circumferentially positioned magnets
    • H02K1/2753Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis the rotor consisting of two or more circumferentially positioned magnets the rotor consisting of magnets or groups of magnets arranged with alternating polarity
    • H02K1/276Magnets embedded in the magnetic core, e.g. interior permanent magnets [IPM]
    • 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
    • H02K1/22Rotating parts of the magnetic circuit
    • H02K1/27Rotor cores with permanent magnets
    • H02K1/2706Inner rotors
    • H02K1/272Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis
    • H02K1/274Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis the rotor consisting of two or more circumferentially positioned magnets
    • H02K1/2753Inner rotors the magnetisation axis of the magnets being perpendicular to the rotor axis the rotor consisting of two or more circumferentially positioned magnets the rotor consisting of magnets or groups of magnets arranged with alternating polarity
    • H02K1/278Surface mounted magnets; Inset magnets
    • 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
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02KDYNAMO-ELECTRIC MACHINES
    • H02K2213/00Specific aspects, not otherwise provided for and not covered by codes H02K2201/00 - H02K2211/00
    • H02K2213/03Machines characterised by numerical values, ranges, mathematical expressions or similar information
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00Road transport of goods or passengers
    • Y02T10/60Other road transportation technologies with climate change mitigation effect
    • Y02T10/64Electric machine technologies in electromobility

Abstract

The invention discloses a low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor, belongs to the field of motors, and aims to solve the problem that harmonic content in synthetic magnetomotive force of a five-phase permanent magnet synchronous motor stator winding adopting fractional slot concentrated winding is large. The phase-B, phase-C, phase-D and phase-E windings have phase differences of 72 degrees, 144 degrees, 216 degrees and 288 degrees in sequence on spatial positions relative to the phase-A winding; each phase of winding comprises two groups of coils, the two pairs of coils in each group have 180-degree difference in spatial position, each pair of coils is arranged in 1 double-layer winding slot and 2 single-layer winding slots on two sides, the winding directions of the two coils in each pair are opposite, and the pitch of the coils is gamma; the two groups of coils are connected in series to form a group of windings; and limiting values of included angles xi and coil pitches gamma of the two groups of coils at spatial positions so as to weaken the amplitude of the near-order harmonic in the synthetic magnetomotive force.

Description

Low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor
Technical Field
The invention relates to a technology for inhibiting low-order harmonic waves, and belongs to the field of motors.
Background
The five-phase permanent magnet synchronous motor system inherits the advantages of high power density, high torque density, high power factor and high efficiency of the traditional three-phase permanent magnet synchronous motor system, has stronger fault-tolerant operation capability and more control degrees of freedom compared with the three-phase motor system due to the increase of the number of phases, and has wide application prospect in the fields of aerospace, multi-electric aircraft, electric vehicles, ship propulsion and the like with higher requirements on equipment reliability. However, the five-phase permanent magnet synchronous motor stator winding adopting fractional slot concentrated winding contains more harmonic waves, and the non-working subharmonic rotates asynchronously relative to the rotor, so that eddy current is induced in the rotor permanent magnet.
Disclosure of Invention
The invention aims to solve the problems that the harmonic content in the magnetomotive force synthesized by the stator winding of the five-phase permanent magnet synchronous motor adopting the fractional slot concentrated winding is large, particularly the near-order harmonic amplitude is high, the stator winding rotates asynchronously relative to a rotor, and large eddy current loss is caused in a rotor permanent magnet, and provides a low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor.
The invention relates to a low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor which comprises a stator and a rotor, wherein the stator is coaxially arranged outside the rotor,
the stator is provided with 10 stator slot units along the circumferential direction, each stator slot unit comprises 4 single-layer winding slots and 2 double-layer winding slots, the winding modes of five-phase windings are the same, and the phase B, the phase C, the phase D and the phase E windings are sequentially different from the phase A windings by 72 degrees, 144 degrees, 216 degrees and 288 degrees in spatial positions;
each phase of winding comprises two groups of coils, the difference of the spatial position of two pairs of coils in each group is 180 degrees, each pair of coils is arranged in 1 double-layer winding slot and 2 single-layer winding slots at two sides, the winding directions of the two coils in each pair are opposite, and the pitch of the coils is gamma; the two groups of coils are connected in series to form a group of windings;
the included angle of the two groups of coils on the spatial position is xi, and according to the limiting condition:
Figure GDA0003746129760000021
the value of xi is determined and,
then according to the limited conditions:
Figure GDA0003746129760000022
the value of the coil pitch gamma is determined,
to attenuate the amplitude of the near-order harmonics in the resulting magnetomotive force.
Preferably, in each stator slot unit, 2 double-layer winding slots are located at the left and right boundaries, 4 single-layer winding slots are symmetrically arranged between the 2 double-layer winding slots, and each pair of coil winding positions of each phase winding is as follows: each pair of coils is arranged in 1 double layer winding slot and 2 single layer winding slots on both sides, wherein 1 single layer winding slot is separated from the double layer winding slot by two single layer winding slots, and the other 1 single layer winding slot is separated from the double layer winding slot by 1 double layer winding slot.
Preferably, two adjacent pairs of the two double-layer winding slots are taken as slots No. 1 and No. 2, and accordingly, 60 stator slots of the stator are sequentially numbered along the circumferential direction, 40 single-layer winding slots and 20 double-layer winding slots.
Preferably, the first and second liquid crystal display panels are,
included angle lambda between two adjacent double-layer winding grooves1
Included angle lambda between adjacent single-layer winding slots and double-layer winding slots2
Two pairs of adjacent single-layer winding slots are arranged on the left and right sides in each stator slot unit, and the included angle lambda of the two single-layer winding slots of each pair3
Included angle lambda of middle two adjacent single-layer winding slots in each stator slot unit4
The following limiting conditions are set:
Figure GDA0003746129760000031
wherein gamma is the coil pitch, and xi is the included angle of the two groups of coils of each phase of winding on the spatial position.
Preferably, the rotor is provided with 22 permanent magnets along the circumferential direction, the magnetizing directions of the 22 permanent magnets are alternately opposite, and all the permanent magnets are magnetized along the radial direction.
Preferably, the near-order harmonic of a five-phase machine with a pole pair number of 11 is a 9 th harmonic, the winding factor k of the 9 th harmonic9Obtained as follows:
Figure GDA0003746129760000032
the winding factor k of 9-th harmonic wave is defined by the included angle xi of two groups of coils of each phase of winding on the space position and the coil pitch gamma9<0.1 to achieve a reduction in the 9 th harmonic amplitude.
Preferably, the permanent magnet is made of a neodymium iron boron permanent magnet material;
preferably, the permanent magnet adopts a surface-mounted type, halbach array type or built-in type structure.
Preferably, the stator core in the stator is formed by casting soft magnetic composite material or laminating silicon steel sheets along the axial direction.
Preferably, the rotor core of the rotor is formed by casting soft magnetic composite materials or laminating silicon steel sheets along the axial direction.
The invention has the beneficial effects that: the invention discloses a low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor. By optimizing the arrangement of the stator windings of the motor, the harmonic content in the synthetic magnetomotive force when the stator windings are introduced with fundamental current is reduced, and the amplitude of the near-order harmonic in the synthetic magnetomotive force can be obviously weakened. For a five-phase motor with 11 rotor pole pairs, the near-pole harmonic is 9 harmonics, the amplitude of the near-pole harmonic is reduced, the eddy current loss of a rotor permanent magnet can be reduced, the heat productivity of the permanent magnet in the motor operation process is reduced, the risk of irreversible demagnetization of the permanent magnet due to high temperature is reduced, and the reliability of the motor in the operation process is improved.
Drawings
FIG. 1 is a schematic diagram of a low-space harmonic single-double layer winding radial flux five-phase permanent magnet synchronous motor according to the invention;
fig. 2 is a schematic diagram of the included angle between the phase a winding coil groups 1 and 2 of the motor;
FIG. 3 is a schematic diagram of a motor winding coil pitch;
FIG. 4 is a schematic diagram of motor stator core unit division and slot number calibration;
FIG. 5 is a schematic view of the angle between different slots of the motor;
fig. 6 is a winding diagram of the a-phase winding;
fig. 7 is a winding diagram of a B-phase winding;
fig. 8 is a winding diagram of a C-phase winding;
fig. 9 is a winding diagram of a D-phase winding;
fig. 10 is a winding diagram of an E-phase winding;
fig. 11 is a diagram for analyzing the resultant magnetomotive force waveform and harmonics of the stator winding when the motor coil pitch γ =15.75 ° and the angle ξ =99 ° between the coil groups 1 and 2, where fig. 11 (a) is a diagram for analyzing the resultant magnetomotive force waveform and fig. 11 (b) is a diagram for analyzing the harmonics of the resultant magnetomotive force;
fig. 12 is a stator winding synthesized magnetomotive force waveform and harmonic analysis diagram when the motor coil pitch γ =16 °, and the angle ξ =100 ° between the coil groups 1 and 2, where fig. 12 (a) is the synthesized magnetomotive force waveform diagram and fig. 12 (b) is the synthesized magnetomotive force harmonic analysis diagram;
fig. 13 is a diagram showing a synthesized magnetomotive force waveform of the stator winding and a harmonic analysis when the motor coil pitch γ =16 ° and the angle ξ =99 ° between the coil groups 1 and 2, where fig. 13 (a) is the synthesized magnetomotive force waveform diagram and fig. 13 (b) is the synthesized magnetomotive force harmonic analysis diagram.
Detailed Description
The first embodiment is as follows: the present embodiment is described below with reference to fig. 1 to 13, and the low-space harmonic single/double-layer winding radial flux five-phase permanent magnet synchronous motor according to the present embodiment includes a casing 1, a stator 2, a rotor 3, and a rotating shaft 8, where the stator 2 includes a stator core 4 and a single/double-layer hybrid winding 5, the rotor 3 includes a rotor core 7 and a permanent magnet 6, the rotor 3 is disposed on the rotating shaft 8, the stator 2 is disposed outside the rotor 3 and the rotating shaft 8, an outer circumferential surface of the stator 2 is fixed on an inner circumferential surface of the casing 1, an air gap is formed between the stator 2 and the rotor 3, and the length of the air gap is L;
the stator is provided with 10 stator slot units along the circumferential direction, referring to fig. 4, the clockwise direction is unit 1 to unit 10, each stator slot unit comprises 2 double-layer winding slots and 4 single-layer winding slots, in each stator slot unit, the 2 double-layer winding slots are positioned on the left and right boundaries, the 4 single-layer winding slots are symmetrically arranged between the 2 double-layer winding slots, and each pair of coil winding positions of each phase of winding is as follows: each pair of coils is arranged in 1 double layer winding slot and 2 single layer winding slots on both sides, wherein 1 single layer winding slot is separated from the double layer winding slot by two single layer winding slots, and the other 1 single layer winding slot is separated from the double layer winding slot by 1 double layer winding slot. The coil pitch is marked with reference to fig. 3.
Each phase winding of the five-phase motor comprises 8 coils, taking phase A as an example, the 8 coils of the phase A winding are divided into two groups, namely, A1 coil group and A2 coil group, the A1 coil group comprises two pairs of coils, namely, A1-1, A1-2, A1-3 and A1-4, the A2 coil group comprises two pairs of coils, namely, A2-1, A2-2, A2-3 and A2-4, the two pairs of coils in each group have a 180-degree difference in spatial position, each pair of coils is arranged in 1 double-layer winding slot and 2 single-layer winding slots on two sides, the winding directions of the two coils in each pair are opposite, and the two groups of coils are connected in series to form a group of windings; the remaining phases B, C, D and E can be analyzed similarly. The included angle of the two coil groups on the space position is xi (see the attached figure 2), and xi satisfies the following formula (1):
Figure GDA0003746129760000051
the 8 coils of the phase a winding occupy 4 double-layer winding slots and 8 single-layer winding slots respectively, the coil pitch is γ (see fig. 3), and the coil pitch γ satisfies the following formula (2):
Figure GDA0003746129760000052
referring to fig. 4, a stator core includes60 slots, with a pair of two adjacent double layer winding slots as slots # 1 and # 2, and sequentially defining the 60 stator slot numbers of the stator in the circumferential direction, are 40 single layer winding slots ( slots 3,4,5,6,9,10,11,12,15,16,17,18,21,22,23,24,27,28,29,30,33,34,35,36,39,40,41,42,45,46,47,48,51,52,53,54,57,58,59, 60) and 20 double layer winding slots ( slots 1,2,7,8,13,14,19,20,25,26,31,32,37,38,43,44,49,50,55, 56), respectively. The angle between the double layer winding slots is defined as λ by the angle between the slots 55 and 56 as an example1(see figure 5) the angle between the single layer winding slot and the double layer winding slot is defined as λ, using the angle between the slot 56 and the slot 57 as an example2The included angles between the slots 57 and 58, between the slots 58 and 59, and between the slots 59 and 60 are taken as examples to define the included angles between the single layer winding slots, where the included angles between the slots 57 and 58, and between the slots 59 and 60 are all equal to λ3The angle between the grooves 58 and 59 is lambda4
The arrangement of the coils of the A-phase, B-phase, C-phase, D-phase and E-phase windings of the motor is the same (see FIGS. 6,7,8,9 and 10), and the spatial positions of the B-phase, C-phase, D-phase and E-phase windings are different from those of the A-phase winding by 72 degrees, 144 degrees, 216 degrees and 288 degrees in sequence.
The rotor 3 comprises a rotor core 7 and 22 permanent magnets 6, the 22 permanent magnets 6 are arranged on the outer circle surface of the rotor core 7 along the circumferential direction, the magnetizing directions of the 22 permanent magnets 6 are alternately opposite, all the permanent magnets 6 are magnetized along the radial direction, and the permanent magnets 6 are made of neodymium iron boron permanent magnet materials.
The near-order harmonic of the five-phase motor with the number of pole pairs of 11 is 9 th harmonic, and the winding factor k of the 9 th harmonic9Obtained as follows:
Figure GDA0003746129760000061
the winding factor k of 9-th harmonic wave is defined by the included angle xi of two groups of coils of each phase of winding on the space position and the coil pitch gamma9<0.1 to achieve a reduction in the 9 th harmonic amplitude.
The working principle is illustrated in the following three specific embodiments:
example 1 root ofThe coil pitch is selected to be a gamma value, a xi value: gamma =15.75 deg., xi =99 deg., the included angle lambda between the double-layer winding slots1Is 9 degrees, and the included angle lambda between the single-layer winding groove and the double-layer winding groove2At 6.75 deg., and two pairs of adjacent single-layer winding slots on the left and right sides of each stator slot unit, the included angle lambda of the two single-layer winding slots of each pair3Is 4.5 degrees, and the included angle lambda of the middle two adjacent single-layer winding slots in each stator slot unit4Is at an angle of 4.5 DEG,
when the motor normally works, the five-phase winding of the motor is sequentially electrified with the following cosine-form currents:
Figure GDA0003746129760000062
wherein: i.e. ia、ib、ic、idAnd ieCurrents of the A, B, C, D and E phase windings respectively;
ωeis the electrical angular velocity of the motor;
Imis the current amplitude.
Through two-dimensional finite element analysis, a synthetic magnetomotive force waveform and a harmonic analysis chart when the motor winding is connected with the current can be obtained, and the synthetic magnetomotive force waveform and the harmonic analysis chart are shown in fig. 11. The amplitude of the near-pole subharmonic (9 th harmonic) in the synthetic magnetomotive force is far lower than that of the working subharmonic (11 th harmonic), and the fact that the low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor can remarkably suppress the near-pole subharmonic in the synthetic magnetomotive force is proved.
The winding factors of the low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor are as follows:
Figure GDA0003746129760000063
wherein: k is a radical ofnWinding factors for different sub-harmonics;
and n is the harmonic order. Next, the near-order harmonic suppression of the five-phase motor with the pole pair number of 11 is described by comparing two winding factors of n =9 and n = 11.
Since the amplitude of each harmonic in the composite magnetomotive force is proportional to the harmonic winding factor, k is proportional to the harmonic winding factor when γ =15.75 °, ξ =99 °9=0.0700,k11And the amplitude of the 9 th harmonic is obviously reduced compared with that of the 11 th harmonic, so that the output torque density of the motor is ensured on the basis of reducing the synthesized magnetomotive force space harmonic of the motor. By optimizing the arrangement of the stator winding of the motor, the harmonic content in the synthetic magnetomotive force when the stator winding is introduced with fundamental current is reduced, and the amplitude of the near-order harmonic in the synthetic magnetomotive force can be obviously weakened. The reduction of the amplitude of the near-polar harmonic wave can reduce the eddy current loss of the rotor permanent magnet and reduce the heat productivity of the permanent magnet in the running process of the motor, thereby reducing the risk of irreversible demagnetization of the permanent magnet due to high temperature and improving the reliability of the motor in the running process.
Example 2, according to the defined conditions, the coil pitch is selected as the gamma value and the xi value: gamma =16 °, ξ =100 °, the angle λ between the double-layer winding slots1Is 8 degrees, and the included angle lambda between the single-layer winding groove and the double-layer winding groove2At an angle of 8 DEG, a left and a right pairs of adjacent single-layer winding slots in each stator slot unit, and an included angle lambda of the two single-layer winding slots of each pair3Is 4 degrees, and the included angle lambda of the middle two adjacent single-layer winding slots in each stator slot unit4Is at an angle of 4 DEG,
when the motor works normally, the five-phase winding of the motor is sequentially electrified with the following cosine form currents:
Figure GDA0003746129760000071
wherein: i.e. ia、ib、ic、idAnd ieThe currents of the A phase winding, the B phase winding, the C phase winding, the D phase winding and the E phase winding are respectively;
ωeis the electrical angular velocity of the motor;
Imis the current amplitude.
Through two-dimensional finite element analysis, a synthetic magnetomotive force waveform and a harmonic analysis chart when the motor winding is connected with the current can be obtained, and the synthetic magnetomotive force waveform and the harmonic analysis chart are shown in fig. 12. The amplitude of the near-pole subharmonic (9 th harmonic) in the synthetic magnetomotive force is far lower than that of the working subharmonic (11 th harmonic), and the fact that the low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor can remarkably suppress the near-pole subharmonic in the synthetic magnetomotive force is proved.
The winding factors of the low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor are as follows:
Figure GDA0003746129760000072
wherein: k is a radical ofnWinding factors for different sub-harmonics;
and n is the harmonic order. Next, the near-order harmonic suppression of a five-phase motor with a pole pair number of 11 is described by comparing two winding factors of n =9 and n = 11.
Since the amplitude of each harmonic in the composite magnetomotive force is proportional to the harmonic winding factor, k is proportional to the harmonic winding factor when γ =16 °, ξ =100 °9=0,k11And =0.9836, the amplitude of the 9 th harmonic is obviously reduced compared with that of the 11 th harmonic, and the output torque density of the motor is ensured on the basis of reducing the synthesized magnetomotive force space harmonic of the motor. By optimizing the arrangement of the stator winding of the motor, the harmonic content in the synthetic magnetomotive force when the stator winding is introduced with fundamental current is reduced, and the amplitude of the near-order harmonic in the synthetic magnetomotive force can be obviously weakened. The reduction of the near-order harmonic amplitude can reduce the eddy current loss of the rotor permanent magnet and reduce the heat productivity of the permanent magnet in the motor operation process, thereby reducing the risk of irreversible demagnetization of the permanent magnet due to high temperature and improving the reliability of the motor in the operation process.
Example 3, according to the defined conditions, the coil pitch is selected as the gamma value, the xi value: gamma =16 °, ξ =99 °, the angle λ between the double-layer winding slots1Is 9 degrees, and the included angle lambda between the single-layer winding groove and the double-layer winding groove2At 7 deg., two pairs of adjacent single-layer winding slots on the left and right sides of each stator slot unit, the included angle lambda of the two single-layer winding slots of each pair3Is 4 degrees, and the included angle lambda of the middle two adjacent single-layer winding slots in each stator slot unit4Is at an angle of 5 DEG,
when the motor normally works, the five-phase winding of the motor is sequentially electrified with the following cosine-form currents:
Figure GDA0003746129760000081
wherein: i.e. ia、ib、ic、idAnd ieThe currents of the A phase winding, the B phase winding, the C phase winding, the D phase winding and the E phase winding are respectively;
ωeis the electrical angular velocity of the motor;
Imis the current amplitude.
Through two-dimensional finite element analysis, a synthetic magnetomotive force waveform and a harmonic analysis chart when the motor winding is connected with the current can be obtained, and the synthetic magnetomotive force waveform and the harmonic analysis chart are shown in fig. 13. The amplitude of the near-pole subharmonic (9 th harmonic) in the synthetic magnetomotive force is far lower than that of the working subharmonic (11 th harmonic), and the fact that the low-space harmonic single-double layer winding radial flux five-phase permanent magnet synchronous motor can remarkably restrain the near-pole subharmonic in the synthetic magnetomotive force is proved.
The winding factors of the low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor are as follows:
Figure GDA0003746129760000082
wherein: k is a radical of formulanWinding factors for different sub-harmonics;
and n is the harmonic order. Next, the near-order harmonic suppression of a five-phase motor with a pole pair number of 11 is described by comparing two winding factors of n =9 and n = 11.
Since the amplitude of each harmonic in the composite magnetomotive force is proportional to the harmonic winding factor, k is proportional to the harmonic winding factor when γ =16 °, ξ =99 °9=0.0710,k11And if the harmonic is not less than 0.9957, the amplitude of the 9 th harmonic is obviously reduced compared with that of the 11 th harmonic, and the output torque density of the motor is ensured on the basis of reducing the synthesized magnetomotive force space harmonic of the motor. By optimizing the arrangement of the stator winding of the motor, the harmonic content in the synthesized magnetomotive force when the stator winding is introduced with fundamental wave current is reduced, and the harmonic component can be obviously cutThe amplitude of the near-polar harmonic in the weakly synthesized magnetomotive force. The reduction of the amplitude of the near-polar harmonic wave can reduce the eddy current loss of the rotor permanent magnet and reduce the heat productivity of the permanent magnet in the running process of the motor, thereby reducing the risk of irreversible demagnetization of the permanent magnet due to high temperature and improving the reliability of the motor in the running process.
The second embodiment is as follows: in the first embodiment, the permanent magnet 6 is of a surface-mount type, a Halbach array type or a built-in type.
The third concrete implementation mode: in the first or second embodiment, the stator core 4 and the rotor core 7 are both formed by casting soft magnetic composite material or laminating silicon steel sheets along the axial direction.

Claims (11)

1. The low-space harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor is characterized by comprising a stator and a rotor, wherein the stator is coaxially arranged outside the rotor, and the number of pole pairs is 11;
the stator is provided with 10 stator slot units along the circumferential direction, each stator slot unit comprises 4 single-layer winding slots and 2 double-layer winding slots, the winding modes of five-phase windings are the same, and the phase B, the phase C, the phase D and the phase E windings are sequentially different from the phase A windings by 72 degrees, 144 degrees, 216 degrees and 288 degrees in spatial positions;
each phase of winding comprises two groups of coils, the difference of the spatial position of two pairs of coils in each group is 180 degrees, each pair of coils is arranged in 1 double-layer winding slot and 2 single-layer winding slots at two sides, the winding directions of the two coils in each pair are opposite, and the pitch of the coils is gamma; the two groups of coils are connected in series to form a group of windings;
the included angle of the two groups of coils on the spatial position is xi, and according to the limiting condition:
Figure FDA0003826766930000011
the value of xi is determined and,
then according to the limited conditions:
Figure FDA0003826766930000012
the value of the coil pitch gamma is determined,
to attenuate the amplitude of the near-order harmonics in the resulting magnetomotive force.
2. The low space harmonic single and double layer winding radial flux five-phase permanent magnet synchronous motor of claim 1, wherein in each stator slot unit, 2 double layer winding slots are located at the left and right boundaries, 4 single layer winding slots are symmetrically arranged between the 2 double layer winding slots, and each pair of coil winding positions of each phase winding is as follows: each pair of coils is arranged in 1 double layer winding slot and 2 single layer winding slots on both sides, wherein 1 single layer winding slot is separated from the double layer winding slot by two single layer winding slots, and the other 1 single layer winding slot is separated from the double layer winding slot by 1 double layer winding slot.
3. The low space harmonic single and double layer winding radial flux five phase permanent magnet synchronous machine of claim 2 wherein a pair of two adjacent double layer winding slots are designated slot No. 1 and slot No. 2, whereby 60 stator slots are numbered circumferentially in sequence, 40 single layer winding slots and 20 double layer winding slots.
4. The low-space-harmonic single-double layer winding radial-flux five-phase permanent magnet synchronous motor of claim 3,
included angle lambda between two adjacent double-layer winding grooves1
Included angle lambda between adjacent single-layer winding slots and double-layer winding slots2
Two pairs of adjacent single-layer winding slots are arranged on the left and right sides in each stator slot unit, and the included angle lambda of the two single-layer winding slots of each pair3
Included angle lambda of two adjacent middle single-layer winding slots in each stator slot unit4
The following limiting conditions are set:
Figure FDA0003826766930000021
wherein gamma is the pitch of the coil, and xi is the included angle of the two groups of coils of each phase of winding on the spatial position.
5. The low-space-harmonic single-double layer winding radial-flux five-phase permanent magnet synchronous motor as claimed in claim 1, wherein 22 permanent magnets are arranged on the rotor in the circumferential direction, the magnetizing directions of the 22 permanent magnets are alternately opposite, and all the permanent magnets are magnetized in the radial direction.
6. The low-space-harmonic single-double layer winding radial-flux five-phase permanent magnet synchronous motor of claim 5, wherein the near-pole harmonic of a five-phase motor with a pole pair number of 11 is 9 th harmonic, and the winding factor k of the 9 th harmonic is9Obtained as follows:
Figure FDA0003826766930000022
the winding factor k of 9-order harmonic wave is defined by the included angle xi of two groups of coils of each phase of winding on the space position and the coil pitch gamma9<0.1 to achieve a reduction in 9 th harmonic amplitude.
7. The low space harmonic single and double layer winding radial flux five-phase permanent magnet synchronous motor according to claim 5, wherein the permanent magnets are made of neodymium iron boron permanent magnet material.
8. The low-space-harmonic single-double layer winding radial flux five-phase permanent magnet synchronous motor as claimed in claim 1, wherein the permanent magnet adopts a surface-mounted or built-in structure.
9. The low space harmonic single and double layer winding radial flux five-phase permanent magnet synchronous motor according to claim 1, wherein the permanent magnets are of a Halbach array type.
10. The low-space-harmonic single-double layer winding radial flux five-phase permanent magnet synchronous motor as claimed in claim 1, wherein a stator core in the stator is formed by casting soft magnetic composite materials or laminating silicon steel sheets along an axial direction.
11. The low-space-harmonic single-double layer winding radial magnetic flux five-phase permanent magnet synchronous motor according to claim 1, wherein a rotor core of the rotor is formed by casting soft magnetic composite materials or laminating silicon steel sheets along the axial direction.
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