CN107579606A - A kind of low fractional-slot concentratred winding magneto and design method of performance of making an uproar that shake - Google Patents
A kind of low fractional-slot concentratred winding magneto and design method of performance of making an uproar that shake Download PDFInfo
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- CN107579606A CN107579606A CN201710849041.1A CN201710849041A CN107579606A CN 107579606 A CN107579606 A CN 107579606A CN 201710849041 A CN201710849041 A CN 201710849041A CN 107579606 A CN107579606 A CN 107579606A
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Abstract
The invention discloses a kind of low fractional-slot concentratred winding magneto and design method of performance of making an uproar that shake.Belong to rotating electrical machine art, on the Motor Foundation that original slot number matches somebody with somebody sum, accordingly increase several stator additional teeths (specific number is matched somebody with somebody with depending on according to the slot number of motor).By taking the motor of three-phase 18/16 as an example, increase by 6 additional teeths, calculate each stator rabbet position, winding construction uses concentratred winding structure corresponding to the motor of three-phase 18/16.Rotor structure uses common Surface Mount structure, radial magnetizing.It is an advantage of the current invention that by changing stator structure, the content of slot ripples in winding magnetomotive force in air gap is reduced, so as to reduce the vibration of motor and noise, while in turn ensure that the torque of motor.Further, since the change of stator structure, causes magnetomotive subharmonic content in air gap to reduce, and then reduce caused eddy-current loss in permanent magnet.Therefore the present invention has great significance for the body design of motor.
Description
Technical field
The present invention relates to a kind of motor manufacturing technology, especially relates to a kind of fractional-slot concentratred winding motor that reduces and damages
Consumption and the technology of vibration.
Background technology
The stator structure of traditional fractional-slot concentratred winding magneto is symmetrical, and concentratred winding structure can be in the gas of motor
Larger magnetomotive force is produced in gap, improves the back-emf and output torque of motor.However, fractional-slot concentratred winding magneto is most
Big deficiency is that energization winding can produce various mmf harmonics in air gap, in these mmf harmonics, only
There is that subharmonic with rotor rotation frequency identical to act on generation output torque, other subharmonic can be in rotor permanent magnetism
Huge eddy-current loss is produced in vivo, and for surface-mount type motor, caused eddy-current loss becomes motor radiating
Difference.Except the heat dissipation problem to be solved, the vibration of fractional-slot concentratred winding magneto and noise are also that a big needs are captured
Problem.In order to solve these drawbacks, the mmf harmonics for how weakening fractional-slot concentratred winding magneto are progressively studied.
Document IEEE 2013International Electric Machines＆Drives Conference, (A
Novel Tooth Concnetrated Winding with Low Space Harmonic Contents) change tradition
Fractional-slot concentratred winding winding connection, the winding connection of creative use " star-triangle ", eliminate winding
Caused low-order harmonic content.Although there are many new structures and methods constantly to be proposed to be used to reduce fractional-slot concentratred winding
Winding mmf harmonics, but this is all built upon on the basis of a part of output torque of consumption.Moreover, find out
Humorous weakening method can not weaken some specific harmonic waves.If the stator tooth of motor is Z, rotor number of pole-pairs is p, then we claim
KZ ± P subharmonic is slot ripples.Slot ripples and operating wave have identical winding coefficient, so changing tooth using in general method
During the winding coefficient of harmonic wave, the size of operating wave content also can accordingly be affected, so as to have influence on output torque.Tooth is humorous simultaneously
The presence of the presence, especially Z-p subharmonic of ripple so that motor has substantial amounts of iron loss, eddy-current loss and vibration noise.
Inevitably reduce the output performance of motor.So using the connected mode of new stator structure and winding, so as to reduce gas
Magnetomotive slot ripples content is significantly in gap.
The content of the invention
The invention aims to solve to exist largely in original fractional-slot concentratred winding electric machine rotor air-gap field
The problem of mmf harmonics, it is proposed that a kind of method easy to carry out in easy and effective, engineering.Ensureing what torque effectively improved
Meanwhile the loss of motor is reduced, shakes and makes an uproar.The electric machine structure of the present invention is used in electric rotating machine topology, due to this method
Essence is to change the distance between winding coil both sides, only relevant with coil with the coiling tooth of motor, thus the stator structure with
Winding connection is applied equally to linear electric motors and disc type electric machine.In order to realize the effect above, technical scheme
For：
A kind of low fractional-slot magneto of performance of making an uproar that shakes is designed, is moved to further reduce magnetic caused by fractional-slot winding
Gesture harmonic wave, and then reduce loss and vibration noise caused by harmonic wave.
The technical scheme is that：
A kind of low characteristic fractional-slot concentratred winding magneto of making an uproar that shakes, includes stator, rotor；Have between stator and rotor
Air gap；Stator teeth notching forms symmetrical stator tooth, asymmetric stator tooth and additional stator tooth；Loop A, coil are wound with stator tooth
B；Winding connection is according to the star-like figure of groove potential；Rotor is common surface-mount type structure, and containing permanent magnet array, stator is entirely being justified
It is not full symmetric on week, designs different stator toothings, the tooth of mmf harmonics is produced to reduce winding in air gap
Harmonic content, final loss, vibration and the noise for reducing motor.
Further, symmetrical stator tooth, asymmetric stator tooth and additional stator tooth meet relation：Corresponding to symmetrical stator tooth
Angle is 2 θ3, angle corresponding to asymmetric stator tooth is θ3+θ4, angle corresponding to additional stator tooth is 2 θ5, loop A is not across
Symmetrical stator tooth and additional stator tooth, B is across symmetrical stator tooth, θyRepresent winding center line circle across angle, then motor section
Meet below equation away from factor：
In formula, v represents winding number of pole-pairs corresponding to caused mmf harmonics in air gap, for fractional-slot concentratred winding
For, θyValue can be expressed as：
Wherein, Z represents the stator number of teeth of motor；In addition, also meet below equation：
For the motor of three-phase 18/16, mmf harmonics number of pole-pairs corresponding to fundamental wave is 8, kp8For winding magnetic corresponding to fundamental wave
The pitch factor of kinetic potential, kd8For the magnetomotive distribution factor of fundamental wave winding, meanwhile, symmetrical stator tooth, asymmetric stator tooth and
The size of additional stator tooth meets constraints：
6θ3+12(θ3+θ4)+12θ5=2 π.
Further, permanent magnet array has equal-sized set of permanent magnets into according to radial magnetizing, magnetizing direction alternating.
Further, permanent magnet array also can carry out poly- magnetic using Halbach array, and air gap thickness takes between stator and rotor
0.5mm。
The technical scheme of the inventive method is：A kind of low design side of characteristic fractional-slot concentratred winding magneto of making an uproar that shakes
Method, comprise the following steps：
Step 1, select the pole groove of fractional-slot concentratred winding magneto to coordinate, winding is carried out by the star-like figure method of groove potential
Connection, using a current method, by current equivalence in winding to notch position, calculate energization winding in motor gas-gap it is caused around
Group magnetomotive force, and v is calculated to notch factor K corresponding to the harmonic wave magnetomotive force of polesv, distribution factor KqvWith pitch factor Kyv；
Step 2, to energization winding, caused magnetomotive force carries out Fourier decomposition in air gap, obtains winding corresponding to fundamental wave
Magnetomotive force component, calculate the notch factor K in fundamental wave content corresponding to winding magnetomotive forcesp, distribution factor KqpAnd pitch factor
Kyp；Because slot number is matched somebody with somebody and is fixed, so distribution factor and pitch factor keep constant, while notch factor is approximately 1 also to ignore,
Now to increase pitch factor corresponding to fundametal compoment so as to increase magnetomotive force component, make fundamental wave pitch factor take maximum 1, ask
Go out now corresponding winding pitch；
Step 3, according to new winding pitch, corresponding additional teeth is increased in the stationary part of motor, if it is three-phase 18/
16 motors, 6 additional teeths are added, now the connected mode of winding is still according to traditional fractional-slot concentratred winding of three-phase 18/16
Motor split-phase, this ensure that notch factor K corresponding to magnetomotive force caused by windingsvWith distribution factor KqvKeep constant, now
Pitch factor K corresponding to winding fundametal compomentyvIncrease as 1, and slot ripples be kZ ± P subharmonic contents corresponding to pitch factor subtract
It is small, so as to reduce the percentage that slot ripples accounts for fundamental wave content, so as to reduce the characteristic of making an uproar of shaking of motor.
Further, permanent magnet array has equal-sized set of permanent magnets into according to radial magnetizing, magnetizing direction alternating.
Further, permanent magnet array also can carry out poly- magnetic using Halbach array, and air gap thickness takes between stator and rotor
0.5mm。
Further, symmetrical stator tooth, asymmetric stator tooth and additional stator tooth meet relation：Corresponding to symmetrical stator tooth
Angle is 2 θ3, angle corresponding to asymmetric stator tooth is θ3+θ4, angle corresponding to additional stator tooth is 2 θ5, loop A is not across
Symmetrical stator tooth and additional stator tooth, B is across symmetrical stator tooth, θyRepresent winding center line circle across angle, then motor section
Meet below equation away from factor：
In formula, v represents winding number of pole-pairs corresponding to caused mmf harmonics in air gap, for fractional-slot concentratred winding
For, θyValue can be expressed as：
Wherein, Z represents the stator number of teeth of motor；In addition, also meet below equation：
For the motor of three-phase 18/16, mmf harmonics number of pole-pairs corresponding to fundamental wave is 8, kp8For winding magnetic corresponding to fundamental wave
The pitch factor of kinetic potential, kd8For the magnetomotive distribution factor of fundamental wave winding, meanwhile, symmetrical stator tooth, asymmetric stator tooth and
The size of additional stator tooth meets constraints：
6θ3+12(θ3+θ4)+12θ5=2 π.
The main design for including novel stator structure, winding connection and rotor structure of the invention.Stator includes stator
Yoke portion, stator teeth, stator slot, the coil that winding is made by copper cash are formed, and coil is placed on stator slot around on the stator teeth
In.The direct mechanical angle in coil both sides is θ, can there is air gap between stator and rotor, and energization winding can produce in air gap
Magnetomotive force, after magnetomotive force Fourier decomposition, can be converted into winding in air gap caused mmf harmonics it is extremely right
Harmonic component related number v.Now v has three main factors of influence, notch factor K to pole harmonic contentsv, distribution factor
KqvWith pitch factor Kyv.It is general using a point current method when calculating winding is magnetomotive, i.e., winding current is focused on into notch
The central point of position, 0 now is equivalent to equivalent to width of rebate, the value of notch factor is approximately then 1, so winding is in air gap
In caused magnetomotive force only it is relevant with pitch factor with distribution factor.This method by taking the motor of three-phase 18/16 as an example, it is creative
6 auxiliary stator teeth are added between three-phase, and ensure that the electric load of motor is constant, now whole stator tooth is with four adjacent teeth
For one group, three groups are shared in whole circumference.Every group of stator tooth is divided into three kinds of different teeth, i.e. a symmetric teeth a, two asymmetry
Tooth b, also a symmetric teeth c.It can show that angle corresponding to the teeth of abc tri- is by theory analysis：
The connected mode of winding coil ensures what is be often combined to according to the star-like figure line of groove potential of the motor of three-phase 18/16
Magnetomotive force amplitude maximum principle, it is θ '=π/8 per phase coil span.It can now ensure that 8 pairs of pole harmonic waves (i.e. operating wave) are corresponding
Magnetomotive pitch factor be 1, increase fundamental voltage amplitude accordingly, lift torque density.10 pairs of same pole harmonic contents
Amplitude is greatly lowered so that the radial direction Reeb of motor reduces, the final vibration for reducing motor and noise.
The invention uses durface mounted permanent magnet body, it may be considered that using Halbach permanent array, strengthens magnet accumulating cap, carries
Rise torque density.
The object that the present invention is implemented is the low fractional-slot magneto of performance of making an uproar that shakes.The program has advantages below：
(1) creative addition additional teeth in the stator, by specific winding mode, by operating wave and kz ± p, (k is
Positive integer) secondary slot ripples separates, the amplitude of slot ripples is only reduced, so as to reduce winding caused magnetomotive force in air gap
Slot ripples, low order radial direction Reeb is reduced, so as to reduce the vibration of motor and noise.
(2) present invention effectively reduces energization winding caused low magnetic harmonic content in air gap, reduces motor
Leakage field, eddy-current loss is reduced, control temperature of the rotor in high-speed motion, the risk of irreversible demagnetization can be reduced.
(3) present invention can improve the amplitude of winding magnetomotive force operating wave, ensure that the torque density of motor.
(4) permanent magnet is contemplated that with embedded, table embedded and surface-mount type.In addition, table embedded and durface mounted permanent magnet body
It is also conceivable to using Halbach permanent array, strengthen magnet accumulating cap, lift torque density.
(5) electric machine structure of the invention is pervasive for a variety of motor types, including electric rotating machine, flat plate type linear motor,
Cylindrical linear and disc type electric machine etc..Stator tooth shape design depend on slot number match somebody with somebody and, principle has universality.
Brief description of the drawings
Fig. 1 is the low fractional-slot magneto overall schematic of performance of making an uproar of shaking of the present invention.
Fig. 2 be the present invention it is low shake make an uproar performance fractional-slot magneto stator tooth structure change amplification principle schematic diagram.
Fig. 3 be the present invention it is low shake make an uproar performance fractional-slot magneto stator structure enlarged diagram.
Fig. 4 is traditional fractional-slot concentratred winding motor of three-phase 18/16 and the low fractional-slot permanent magnetism of performance of making an uproar that shakes of the present invention
The winding magnetomotive force Spectrum Analysis Comparison schematic diagram of motor.
Fig. 5 is traditional fractional-slot concentratred winding motor of three-phase 18/16 and the low fractional-slot permanent magnetism of performance of making an uproar that shakes of the present invention
The iron loss and eddy-current loss contrast schematic diagram of motor.
Fig. 6 is traditional fractional-slot concentratred winding motor of three-phase 18/16 and the low fractional-slot permanent magnetism of performance of making an uproar that shakes of the present invention
The acoustical power contrast schematic diagram of motor.
Embodiment
With reference to figure 1, the present invention shakes the method for characteristic of making an uproar for a kind of fractional-slot concentratred winding magneto that reduces, and motor shakes
Dynamic by energization winding, the caused slot ripples in air gap is influenceed with noise, and slot ripples content is higher, the vibration of motor and is made an uproar
Sound is bigger.The present invention includes external stator 1, contains three kinds of teeth, symmetric teeth 15, asymmetric tooth 16, additional teeth 17.Motor slot potential star
Type Figure 200, generally, arbitrarily spatially the ripple of Sine distribution can be represented with a space vector, therefore, can be with
Magnetomotive force ripple caused by each coil is represented with one section of line segment, arrow represents direction vector.Angle between each vector
The phase difference of representative mmf harmonics spatially is equal to, is spatially separated by a wavelength, 2 are just differed on polar plot
π (radian), and vector length just represents corresponding magnetomotive amplitude.In fact, the vector of all coils of composition winding is used
Vector hair addition can try to achieve v caused by whole winding to pole mmf harmonics, and here it is the star-like map analysis winding magnetic of groove potential
The general principle and method of kinetic potential.In actual applications, direction vector is determined for convenience, can be all z of motor
Groove is rated as equally distributed z roots and is loaded with equidirectional, the conductor of same current, and now each appropriate length should correspondent equal.
When analyzing v to the star-like figure of the groove potential of pole, the angle between two vectors of adjacent slot number is equal to v times of slot-pitch angle, slot-pitch angle
It can be expressed as：
200 be that the motor operating wave of three-phase 18/16 is 8 pairs of extremely corresponding star-like figures of magnetomotive force as described in Figure 1.There is groove potential
Star-like figure, actual machine winding can connect accordingly, be loaded with the conductor direction vector of positive current and the groove of conductor institute caulking groove number
Direction vector is identical, and it is opposite with the groove direction vector of conductor institute caulking groove number to be loaded with the conductor direction vector of negative current.Handed over lines
Fork represents that electric current flows into, and empty circles represent electric current outflow, i.e., positive coiling 101, back winding coil 102, each coil spread phase
Deng specific size is depending on the number of stator slots of selected motor and the number of pole-pairs of permanent magnet.Air gap between rotor be present, have
Body air gap thickness determines according to motor size and related request.Internal rotor uses traditional surface-mount type.
The external stator 1 adds several additional teeths, the number of teeth and symmetric teeth 15, asymmetric tooth on original stator tooth
16th, the size of additional teeth 17 is depending on the cooperation of specific motor slot collection.Fig. 1 be using the Double Layer Winding motor stator of three-phase 18/16 as
Example.In practice, winding construction can select individual layer or double-decker, corresponding change stator toothing.
Fig. 2 is stator tooth structure change amplification principle schematic diagram of the present invention.It is fixed where rotor center O to coil
The angle theta that the position of sub 1 notch is formedyFor the factor of influence of winding magnetomotive force pitch factor, now v is to section corresponding to the harmonic wave of pole
It can be expressed as away from factor：
With reference to figure 2, the principle of the invention is to change angle thetay, traditional motor angle is θ1, the invention angle is θ2,
Meet pitch factor K corresponding to fundamental wave i.e. operating wavepv=1, fundamental wave magnetomotive force amplitude is added, improves torque density.
The close-up schematic view of stator 1 is as shown in Figure 3.Rotor 2 uses common surface-mount type structure, permanent magnet 300
Using radial magnetizing.Each pole embrace of module permanent magnet 300 is consistent.The positive coiling 101, the institute of back winding coil 102 is across machinery
Angle is identical, and meets that pitch factor corresponding to fundamental wave is 1.Symmetric teeth 15, asymmetric tooth 16, angle corresponding to additional teeth 17 point
Wei not 2 θ3, θ3+θ4, 2 θ5, in order to ensure that pitch factor corresponding to fundamental wave is 1, now, tooth 15,16,17 should meet formula：
Pitch factor corresponding to fundamental wave is 1, then kpc8=1, symmetric teeth 15, asymmetric tooth 16, angle corresponding to additional teeth 17
For 22.5 degree, 15 degree, 7.5 degree.It is now the angle calculated by taking the motor of three-phase 18/16 as an example, different slot numbers, which coordinates, to be calculated slightly
The size of the tooth of stator 1 come is different.Meanwhile it can be seen that positive coiling 101 across an additional teeth 17 and asymmetry
Tooth 16, back winding coil 102 is across a symmetric teeth 15, and this is different with traditional fractional-slot concentratred winding structure, but sheet
The winding connection of invention is identical with the winding connection of traditional fractional-slot concentratred winding structure, and coil
Positive and negative Lithofacies dividing is completely the same.Difference is that present invention utilizes space bit angle setting caused by additional teeth to cause the He of coil 101
Span caused by coil 102 is equal, ensure that it is maximum around magnetomotive value is combined into, meanwhile, destroy operating wave and slot ripples
Between corresponding relation so that change work wave amplitude when, corresponding slot ripples content will not change.
Fig. 4 is traditional fractional-slot concentratred winding motor of three-phase 18/16 and the low fractional-slot permanent magnetism of performance of making an uproar that shakes of the present invention
The winding magnetomotive force Spectrum Analysis Comparison schematic diagram of motor.A is traditional fractional-slot concentratred winding motor of three-phase 18/16 in figure
Winding magnetomotive force spectrum analysis, B be it is low shake make an uproar performance fractional-slot magneto winding magnetomotive force Spectrum Analysis Comparison signal
Figure, it can be seen that the secondary slot ripples content of the z-p of the motor after improvement, z+p, 2z-p, 2z+p ... substantially reduces.(z represents electricity
The stator number of teeth of machine, p represent permanent magnet pole logarithm) improve before and after, the size of motor, electric load, current density keeps constant.
The operating wave of motor is that the amplitude of 8 pairs of pole harmonic waves is constant so that the torque of motor is unaffected.10 pairs of pole slot ripples are relative to electricity
It is reversion ripple for the operating wave of machine, so the influence to motor oscillating and noise is very huge.It can be seen that 10 pairs
The ratio that pole harmonic content accounts for fundamental wave content reduces 25.3%.This is also that present design reduces motor and shaken the major reason made an uproar
One of.
In described Fig. 4,2 pairs of pole harmonic contents reduce about 40%, are now illustrated in figure 5 traditional three-phase 18/16 and divide
Number groove concentratred winding motors and the present invention it is low shake make an uproar performance fractional-slot magneto iron loss and eddy-current loss contrast schematic diagram.
A1 is caused vortex damage in the stator iron loss and rotor permanent magnet body of traditional fractional-slot concentratred winding motor of three-phase 18/16 in figure
Consumption, B1 be it is low shake make an uproar performance fractional-slot magneto stator iron loss and rotor permanent magnet body in caused eddy-current loss.Contrast
As can be seen that low the make an uproar eddy-current loss of characteristic magneto of shaking of the invention reduces 30.1%, stator iron loss is held essentially constant.
In motor operation, eddy-current loss caused by inside the permanent magnet and the contact of the temperature of motor are very close.Eddy-current loss is big, production
Raw temperature is higher.General traditional fractional-slot concentratred winding magneto all uses the cooling scheme of natural cooling, so drop
In low motor operation, eddy-current loss caused by inside the permanent magnet, which just seems, to be even more important.Moreover, with the rise of temperature, forever
The problem of demagnetization in itself be present in magnet.The numerical value of controlled vortex flow loss, the risk of reduction permanent magnet demagnetization that can be favorably.This
It is one of advantage of the invention.
Fig. 6 is traditional fractional-slot concentratred winding motor of three-phase 18/16 and the low fractional-slot permanent magnetism of performance of making an uproar that shakes of the present invention
The acoustical power contrast schematic diagram of motor.In figure A2 be traditional fractional-slot concentratred winding motor of three-phase 18/16 at different frequencies
Acoustical power, B2 be the present invention it is low shake make an uproar performance fractional-slot magneto acoustical power.It can be seen that in 1200Hz and
During 4300Hz, the acoustical power of the motor reduces at most, is reduced to 74dB from 84.33dB, noise grade reduces altogether
84.12%, this shakes from the point of view of the field made an uproar from degrading, and the invention has reached an ideal effect.Vibration and the drop of noise
It is low, solve many problems present in motor operation, this is also the major significance place that the present invention studies.
In the description of this specification, reference term " one embodiment ", " some embodiments ", " illustrative examples ",
The description of " example ", " specific example " or " some examples " etc. means to combine specific features, the knot that the embodiment or example describe
Structure, material or feature are contained at least one embodiment or example of the present invention.In this manual, to above-mentioned term
Schematic representation is not necessarily referring to identical embodiment or example.Moreover, specific features, structure, material or the spy of description
Point can combine in an appropriate manner in any one or more embodiments or example.
Although an embodiment of the present invention has been shown and described, it will be understood by those skilled in the art that：Not
In the case of departing from the principle and objective of the present invention a variety of change, modification, replacement and modification can be carried out to these embodiments, this
The scope of invention is limited by claim and its equivalent.
Claims (8)
1. a kind of low characteristic fractional-slot concentratred winding magneto of making an uproar that shakes, it is characterised in that include stator (1), rotor (2)；It is fixed
There is air gap between sub (1) and rotor (2)；
Stator (1) fluting forms symmetrical stator tooth (15), asymmetric stator tooth (16) and additional stator tooth (17)；On stator tooth
It is wound with loop A (101), coil B (102)；Winding connection is according to the star-like figure of groove potential (200)；Rotor (2) is common Surface Mount
Formula structure, containing permanent magnet array (300), stator (1) is not full symmetric in whole circumference, designs different stator tooth knots
Structure, the slot ripples content of mmf harmonics is produced to reduce winding in air gap, the final loss for reducing motor, vibrate and make an uproar
Sound.
2. a kind of according to claim 1 reduce the characteristic fractional-slot concentratred winding magneto of making an uproar that shakes, it is characterized in that：To weighed
Sub- tooth (15), asymmetric stator tooth (16) and additional stator tooth (17) meet relation：Angle corresponding to symmetrical stator tooth (15)
For 2 θ3, angle corresponding to asymmetric stator tooth (16) is θ3+θ4, angle corresponding to additional stator tooth (17) is 2 θ5, loop A
(101) across asymmetric stator tooth (16) and additional stator tooth (17), B (102) is across symmetrical stator tooth (15), θyRepresent winding
Coil across angle, then the pitch factor of motor meet below equation：
<mrow>
<msub>
<mi>K</mi>
<mrow>
<mi>y</mi>
<mi>v</mi>
</mrow>
</msub>
<mo>=</mo>
<mi>sin</mi>
<mi> </mi>
<mi>v</mi>
<mfrac>
<msub>
<mi>&theta;</mi>
<mi>y</mi>
</msub>
<mn>2</mn>
</mfrac>
</mrow>
In formula, v represents winding number of pole-pairs corresponding to caused mmf harmonics in air gap, for fractional-slot concentratred winding
Speech, θyValue can be expressed as：
<mrow>
<msub>
<mi>&theta;</mi>
<mi>y</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
<mi>Z</mi>
</mfrac>
</mrow>
Wherein, Z represents the stator number of teeth of motor；In addition, also meet below equation：
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<msub>
<mi>k</mi>
<mrow>
<mi>p</mi>
<mn>8</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mn>8</mn>
<mfrac>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mn>2</mn>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<mn>6</mn>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<mn>12</mn>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<msub>
<mi>&theta;</mi>
<mn>4</mn>
</msub>
<mo>)</mo>
<mo>+</mo>
<mn>12</mn>
<msub>
<mi>&theta;</mi>
<mn>5</mn>
</msub>
<mo>=</mo>
<mn>2</mn>
<mi>&pi;</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>k</mi>
<mrow>
<mi>p</mi>
<mn>8</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>sin</mi>
<mn>8</mn>
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>&theta;</mi>
<mn>4</mn>
</msub>
<mo>+</mo>
<mn>8</mn>
<msub>
<mi>&theta;</mi>
<mn>5</mn>
</msub>
</mrow>
<mn>3</mn>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>k</mi>
<mrow>
<mi>d</mi>
<mn>8</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<msub>
<mi>&theta;</mi>
<mn>4</mn>
</msub>
<mo>+</mo>
<mn>4</mn>
<msub>
<mi>&theta;</mi>
<mn>5</mn>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<mn>3</mn>
</mfrac>
</mtd>
</mtr>
</mtable>
</mfenced>
For the motor of three-phase 18/16, mmf harmonics number of pole-pairs corresponding to fundamental wave is 8, kp8For winding magnetomotive force corresponding to fundamental wave
Pitch factor, kd8For the magnetomotive distribution factor of fundamental wave winding, meanwhile, symmetrical stator tooth (15), asymmetric stator tooth (16)
And the size of additional stator tooth (17) meets constraints：
6θ3+12(θ3+θ4)+12θ5=2 π.
3. a kind of low characteristic fractional-slot concentratred winding magneto of making an uproar that shakes according to claim 1, it is characterized in that：Permanent magnet battle array
Row (300) have equal-sized set of permanent magnets into according to radial magnetizing, magnetizing direction alternating.
4. a kind of low characteristic fractional-slot concentratred winding magneto of making an uproar that shakes according to claim 1, it is characterized in that：Permanent magnet battle array
Row (300) can also carry out poly- magnetic using Halbach array, and air gap thickness takes 0.5mm between stator (1) and rotor (2).
5. a kind of low design method of characteristic fractional-slot concentratred winding magneto of making an uproar of shaking, it is characterised in that comprise the following steps：
Step 1, select the pole groove of fractional-slot concentratred winding magneto to coordinate, winding company is carried out by the star-like figure method of groove potential
Connect, using a current method, by current equivalence in winding to notch position, calculate energization winding caused winding in motor gas-gap
Magnetomotive force, and v is calculated to notch factor K corresponding to the harmonic wave magnetomotive force of polesv, distribution factor KqvWith pitch factor Kyv；
Step 2, to energization winding, caused magnetomotive force carries out Fourier decomposition in air gap, obtains winding magnetic corresponding to fundamental wave and moves
Gesture component, calculate the notch factor K in fundamental wave content corresponding to winding magnetomotive forcesp, distribution factor KqpWith pitch factor Kyp；By
Match somebody with somebody and fix in slot number, so distribution factor and pitch factor keep constant, while notch factor is approximately 1 also to ignore, now
Increase pitch factor corresponding to fundametal compoment so as to increase magnetomotive force component, make fundamental wave pitch factor take maximum 1, obtain this
When corresponding winding pitch；
Step 3, according to new winding pitch, corresponding additional teeth is increased in the stationary part of motor, if it is the electricity of three-phase 18/16
Machine, 6 additional teeths are added, now the connected mode of winding is still according to traditional fractional-slot concentratred winding motor of three-phase 18/16
Split-phase, this ensure that notch factor K corresponding to magnetomotive force caused by windingsvWith distribution factor KqvKeep constant, now winding
Pitch factor K corresponding to fundametal compomentyvIncrease as 1, and to be pitch factor corresponding to kZ ± P subharmonic contents reduce slot ripples,
So as to reduce the percentage that slot ripples accounts for fundamental wave content, so as to reduce the characteristic of making an uproar of shaking of motor.
6. a kind of low design method of characteristic fractional-slot concentratred winding magneto of making an uproar of shaking according to claim 5, it is special
Sign is that permanent magnet array (300) has equal-sized set of permanent magnets into according to radial magnetizing, magnetizing direction alternating.
7. a kind of low design method of characteristic fractional-slot concentratred winding magneto of making an uproar of shaking according to claim 5, it is special
Sign is that permanent magnet array (300) can also carry out poly- magnetic using Halbach array, and air gap is thick between stator (1) and rotor (2)
Degree takes 0.5mm.
8. a kind of low design method of characteristic fractional-slot concentratred winding magneto of making an uproar of shaking according to claim 5, it is special
Sign is that symmetrical stator tooth (15), asymmetric stator tooth (16) and additional stator tooth (17) meet relation：Symmetrical stator tooth
(15) angle corresponding to is 2 θ3, angle corresponding to asymmetric stator tooth (16) is θ3+θ4, angle corresponding to additional stator tooth (17)
For 2 θ5, loop A (101) is across asymmetric stator tooth (16) and additional stator tooth (17), and B (102) is across symmetrical stator tooth
(15), θyRepresent winding center line circle across angle, then the pitch factor of motor meet below equation：
<mrow>
<msub>
<mi>K</mi>
<mrow>
<mi>y</mi>
<mi>v</mi>
</mrow>
</msub>
<mo>=</mo>
<mi>sin</mi>
<mi> </mi>
<mi>v</mi>
<mfrac>
<msub>
<mi>&theta;</mi>
<mi>y</mi>
</msub>
<mn>2</mn>
</mfrac>
</mrow>
In formula, v represents winding number of pole-pairs corresponding to caused mmf harmonics in air gap, for fractional-slot concentratred winding
Speech, θyValue can be expressed as：
<mrow>
<msub>
<mi>&theta;</mi>
<mi>y</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>&pi;</mi>
</mrow>
<mi>Z</mi>
</mfrac>
</mrow>
Wherein, Z represents the stator number of teeth of motor；In addition, also meet below equation：
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<msub>
<mi>k</mi>
<mrow>
<mi>p</mi>
<mn>8</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>s</mi>
<mi>i</mi>
<mi>n</mi>
<mn>8</mn>
<mfrac>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mn>2</mn>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<mn>6</mn>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<mn>12</mn>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<msub>
<mi>&theta;</mi>
<mn>4</mn>
</msub>
<mo>)</mo>
<mo>+</mo>
<mn>12</mn>
<msub>
<mi>&theta;</mi>
<mn>5</mn>
</msub>
<mo>=</mo>
<mn>2</mn>
<mi>&pi;</mi>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>k</mi>
<mrow>
<mi>p</mi>
<mn>8</mn>
</mrow>
</msub>
<mo>=</mo>
<mi>sin</mi>
<mn>8</mn>
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>&theta;</mi>
<mn>4</mn>
</msub>
<mo>+</mo>
<mn>8</mn>
<msub>
<mi>&theta;</mi>
<mn>5</mn>
</msub>
</mrow>
<mn>3</mn>
</mfrac>
</mtd>
</mtr>
<mtr>
<mtd>
<msub>
<mi>k</mi>
<mrow>
<mi>d</mi>
<mn>8</mn>
</mrow>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<mn>2</mn>
<mi>c</mi>
<mi>o</mi>
<mi>s</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>&theta;</mi>
<mn>3</mn>
</msub>
<mo>+</mo>
<msub>
<mi>&theta;</mi>
<mn>4</mn>
</msub>
<mo>+</mo>
<mn>4</mn>
<msub>
<mi>&theta;</mi>
<mn>5</mn>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<mn>3</mn>
</mfrac>
</mtd>
</mtr>
</mtable>
</mfenced>
For the motor of three-phase 18/16, mmf harmonics number of pole-pairs corresponding to fundamental wave is 8, kp8For winding magnetomotive force corresponding to fundamental wave
Pitch factor, kd8For the magnetomotive distribution factor of fundamental wave winding, meanwhile, symmetrical stator tooth (15), asymmetric stator tooth (16)
And the size of additional stator tooth (17) meets constraints：
6θ3+12(θ3+θ4)+12θ5=2 π.
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