CN109728697A - A kind of multifrequency is straight to pole field coupling to drive double feedback electric engine structure and pole slot design method - Google Patents
A kind of multifrequency is straight to pole field coupling to drive double feedback electric engine structure and pole slot design method Download PDFInfo
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Abstract
The invention discloses a kind of multifrequencies of fractional-slot concentratred winding to couple straight drive double feedback electric engine structure and pole slot design method to pole field.Aluminium fastener, stator winding, rotor core and rotor windings including stator core and fixed stator iron core are located at stator two sides, stator and rotor winding coil and carry out coiling using axial space, have been obviously improved magnetic circuit magnetic conductance, have reduced motor diameter.Fractional-slot concentratred winding, which is utilized, can generate the characteristic of a pair of leading number of pole-pairs component, using space harmonics magnetic field number of pole-pairs and slippage as independent variable, construct the function of rotor induction magnetic linkage and induced voltage, for rotor, homopolarity slot is not combined, and there are the electromagnetic power highests that harmonic field transmitting in pole is dominated in one group of rotor pole slot combination.This pole slot choosing method improves power density and power factor, and then realizes that straight drive/half of motor is straight and drive operation.
Description
Technical field
The present invention relates to the multifrequencies based on fractional-slot concentratred winding to couple straight drive double feedback electric engine structure and pole slot to pole field
The method of selection, belongs to technical field of motors.
Background technique
Double-fed wind-force influence generator (winding configuration is integer slot) simple process, reliable and mating Converter Capacity are small,
But power factor increases with number of pole-pairs and is significantly reduced, and cannot achieve straight drive and need to increase transmission chain using high gear
Complexity has seriously affected system performance.Furthermore after power reaches certain grade, the manufacture of high gear and maintenance pole
For difficulty.
In this context, magnetic field modulation type permanent magnet gear and the low speed induction machine system based on permanent magnet gear transmission, compared with
Mechanical gear, have non-contact gear, without frictional dissipation, low vibration, low noise, without lubrication, intrinsic overload protection
Ability and high reliability.But such solution process is complicated, relies on high performance permanent magnetic materials, and magnetic gear generator rotor angle is lost
Surely, automatically overload protection when, torque pulsation is big.
Many scholars have extensively studied fractional-slot concentratred winding in recent years, it is intended to realize multipair pole with few slot, and be answered
For large-sized low-speed magneto alternator.Compared to traditional distributed winding electric machine, fractional-slot concentratred winding motor, which has, to be turned
The advantages such as square pulsation is small, counter potential waveform sine degree is high, fault-tolerant ability is strong, torque density is high, cogging torque is low.But fractional-slot
High self-induction, the characteristic of low mutual inductance of concentratred winding will lead to following problem: revolving relative to rotor high speed in harmonic wave number of pole-pairs magnetic field
Turn, vortex can be induced in permanent magnet, generates extraneous turbulence loss and permanent magnet temperature rise, or even cause degaussing;Harmonic wave is extremely right
Electromagnetism weak coupling is presented because number of pole-pairs is different between number magnetic field and PM rotor, although high self-induction, low mutual inductance are conducive to mention
Lifting motor error resilience performance, but reduce the power factor and torque density of magneto.Therefore, asynchronous induction machine directlys adopt
Such winding scheme, will lead to lower power factor and torque density, it is difficult to realize straight drive.
Summary of the invention
Technical problem: in view of the above-mentioned problems, it is double to propose that a kind of multifrequency of fractional-slot concentratred winding couples straight drive to pole field
Generating aid structure, based on motor in axial magnetic field structure, using pole slot than the fractional-slot concentratred winding close to 1, for stator
A pair of of dominant component in magnetomotive force number of pole-pairs frequency spectrum carries out dual rotor AC excitation, is suitable for low speed high torque bad border, such as
Wind-power electricity generation.
Technical solution:
A kind of multifrequency is straight to pole field coupling to drive double feedback electric engine structure, it is characterised in that: the stator including plate-like in a ring
With a rotor for being located at stator two sides, use axial magnetic field structure between rotor and stator, two rotors and stator it
Between there is air gap, cooperated by the pole slot of selection, so that stator winding divides in the leading number of pole-pairs harmonic field that air gap generates
Not with the magnetic field coupling that is generated on two rotors.
Further, the stator includes the annulus of stator core, stator winding and fixed stator iron core.
Further, the rotor includes rotor windings and rotor core.
Further, stator and two rotors are all made of the Double Layer Winding of fractional-slot concentration.
Further, the stator is embedded in annulus for fixing by multiple entirety " work " type magnetic steel sheet, often
A " work " type silicon steel sheet is separated by one section of gap arrangement, i.e., is slotted using two sides, and stator winding is presented in " 0 " type insertion fluting.
Further, two rotors are unilateral fluting, using no yoke rotor core, medial surface setting it is multiple around
Wire casing, winding coil are presented in " 0 " type insertion winding slot.
A kind of multifrequency is straight to pole field coupling to drive double feedback electric engine structure pole slot design method, which is characterized in that including following
Step:
1) the pole flowing current separation of fractional-slot concentratred winding takes
Chording factor of the winding v to pole harmonic wave are as follows:
The pole slot Q of selection is following three kinds of situations:
Taking mechanical angle θ is abscissa, when motor magnetic circuit be it is linear, i.e., magnetic circuit unsaturation and do not ignore slot effect, and not
Consider the magnetomotive force drop on core portion magnetic circuit, the rectangle magnetomotive force that single coil generates is decomposed into a series of harmonic magnetic and is moved
Gesture:
In formula: v is overtone order, and p is winding number of pole-pairs, kyvIt is winding v to the chording factor of pole harmonic wave, Q is unit electricity
Trough number, θ are mechanical angle, and ω is exciting current angular frequency, and N is coil turn, and n is coil number, ImIt is effective for exciting current
Value, t are the time, and F is the harmonic wave magnetomotive force of single coil;
The harmonic wave magnetomotive force of each phase winding is superimposed:
K in formulaqvFor winding distribution ratio, FOne phaseMagnetomotive force is combined to for one.
Winding coefficient k at this timewvFor wherein kwvRepresent winding coefficient:
kwv=kyv*kqv (5)
K at this timeyv、kqv、kwvIt is all to change as v increases, and in the period with symmetrical, wherein withK is positive integer in formula, humorous
The maximum absolute value of wave winding coefficient;In the case where the number of turns, electric current are certain, the magnetomotive force amplitude and winding coefficient of each harmonic
It is positively correlated, so fractional-slot concentratred winding has a pair of leading number of pole-pairs (p1、p2) harmonic wave magnetomotive force maximum;
For being chosen in all cooperations of the pole slot included in formula (2) of the pole slot cooperation in stator slot and two rotor slots;
2) selection of stator winding pole slot
According to formula (2), the pole slot of stator slot winding cooperates arbitrarily selects one of which from three kinds of situations, determines this pole slot
The leading number of pole-pairs p of cooperation3、p4;
3) one of rotor pole flowing current separation takes
Rotor slot is chosen, using winding function, using space harmonics magnetic field number of pole-pairs and slippage as independent variable, is constructed two-dimensional
The operation interval of stator-rotator magnetic induction determines the amplitude and frequency, fixed turn of rotor induction magnetic linkage respectively in the section
The amplitude of sub- induced electromotive force;
Dominating number of pole-pairs when rotor-side mid-score slot concentratred winding is p5、p6, it is necessary to meet formula (6):
{p5、p6}∩{p3、p4}=1 (6)
4) another rotor pole flowing current separation takes
The selection mode of another rotor-side winding is identical as one of rotor;
When the leading number of pole-pairs of another rotor-side winding is { p7、p8When, it is necessary to meet formula (7),
{p7、p8}∩{p3、p4}=1 and { p7、p8}∩{p5、p6}=0 (7)
By above step 1) -4) know, it is necessary to while meeting formula (2), (6), (7), the stator selected at this time and two rotors
For selected by reality.
Further, the breadth coefficient under three kinds of pole slots are as follows:
In formula: setting α0=2 π/Q, INT1And INT2Respectively numerical value [k/2] and [(k+1)/2] are rounded.
Further, in step 3), by formula (4), the three-phase synthesis magnetomotive force of each harmonic is derived:
Influence of the slot effect to magnetic field is not considered, is introduced revolutional slip, is obtained the magnetic induction intensity under different slippages
Wherein lagGas length, s are revolutional slip, μ0Space permeability, f (θ) are that three-phase synthesizes magnetomotive force, and B (θ) is air gap
The radial component of flux density relative motion.
It is identical as magnetomotive force waveform caused by winding as winding function, therefore winding function Fourier decomposition is obtained:
Therefore by obtaining formula (13) for formula (10) and (11) substitution (12):
Known in addition to the harmonic wave of v=1 or 3k-1 by formula (13), the magnetic linkage width that each harmonic magnetomotive force is generated in rotor-side
Value:
It brings formula (13) into formula (14), obtains formula (15)
Known in addition to the harmonic wave of v=1 or 3k-1 by formula (16), the induction that remaining each harmonic magnetomotive force is generated in rotor-side
Voltage magnitude:
In formula, QsRespectively motor stator and rotor slot number;M number of motor phases;ψrA-vRotor open circuit v subharmonic is generated in A phase
Magnetic linkage;BS(θ) is the radial component for the air gap flux density relative motion that stator generates;NrA(θ) stator and rotor A phase winding letter
Number;R winding radius;lefStator core;NSA、nrAStator and rotor umber of turn;ks-wv、kr-wvRespectively stator winding and rotor around
Group motivates the lower magnetomotive winding coefficient of certain subharmonic;S revolutional slip;ErA-vThe induced electricity that rotor open circuit v subharmonic is generated in A phase
Kinetic potential, | ψrA-v| it is each harmonic wave magnetic linkage amplitude, | ErA-v| it is each harmonic wave induced voltage amplitude.
Advantageous effects of the invention:
The invention discloses a kind of multifrequencies of fractional-slot concentratred winding to couple straight drive double feedback electric engine structure and spy to pole field
Determine the method that pole flowing current separation takes.Such motor includes the aluminium fastener, stator winding, rotor iron of stator core and fixed stator iron core
Core and rotor windings are located at stator two sides, stator and rotor winding coil and carry out coiling using axial space, are substantially reduced
Groove area simultaneously increases axial magnetic conductive area, increase power factor.Particular pole slot choosing method is based on multifrequency to pole field coupling
Principle is closed, winding function is introduced, using space harmonics magnetic field number of pole-pairs and slippage as independent variable, constructs two-dimensional rotor induction magnetic
The operation interval of chain and induced voltage studies the amplitude and frequency, rotor sense of rotor induction magnetic linkage respectively in the section
Answer the amplitude of electromotive force.Particular pole slot is chosen, improves the harmonic wave number of pole-pairs magnetic field of fractional-slot concentratred winding generation in space
Degree of coupling, improve electromagnetic power, power factor and torque density.Compared with conventional double fed induction generators, this hair
It is bright to retain simple, the at low cost advantage of traditional double-fed induction wind driven generator structure, fractional-slot concentratred winding is used, is utilized
A pair of leading number of pole-pairs component is generated, by choosing stator, rotor number of pole-pairs combines, and effectively increases the production of fractional-slot concentratred winding
Degree of coupling of the raw harmonic wave number of pole-pairs magnetic field in space, improves electromagnetic power, power factor and torque density, without adopting
With gear-box can and realize that straight drive/half of double feedback electric engine is straight and drive operation.
Detailed description of the invention
The multifrequency of Fig. 1 fractional-slot concentratred winding couples straight drive double feedback electric engine structure three-dimensional structure chart to pole field.
Fig. 2 stator core composition figure.
The multifrequency of Fig. 3 fractional-slot concentratred winding couples straight drive double feedback electric engine structure working principle figure to pole field.
Specific embodiment
With reference to the accompanying drawing with specific example invention is further described in detail
As depicted in figs. 1 and 2, the multifrequency of fractional-slot concentratred winding couples straight drive double feedback electric engine structure to pole field, including
The stator being made of the aluminum iron hoop 3 of stator core 1, stator winding 2 and fixed stator iron core, by 1# rotor windings 4,1# rotor
One of rotor that iron core 5 forms, and another rotor being made of 2# rotor windings 6 and 2# rotor core 7.
Stator and two rotors plate-like in a ring, using axial magnetic field structure, two rotors are located at stator two sides, and two
There is air gap between rotor and stator, choose pole slot appropriate cooperation so that stator winding generated in air gap it is leading extremely right
Number harmonic field realizes the low speed high torque operation of motor respectively at the magnetic field coupling generated on two rotors.
Stator and two rotors are all made of fractional-slot concentratred winding, Double Layer Winding.
Stator is embedded in ring for fixing by many entirety " work " type magnetic steel sheet and forms, and ring is aluminum
Annulus, each " work " type silicon steel sheet are separated by one section of gap arrangement, i.e., are slotted using two sides, and winding is presented " 0 " type and is embedded, such as
Shown in Fig. 2.
Two rotors are unilateral fluting, and using no yoke core design, multiple winding slots are arranged in medial surface, and winding coil is in
Existing " 0 " type insertion, as shown in Figure 2.
A kind of multifrequency of low speed high torque fractional-slot concentratred winding couples the design of straight drive double feedback electric engine structure to pole field
Method, comprising the following steps:
1) the pole flowing current separation of fractional-slot concentratred winding takes winding v to the chording factor of pole harmonic wave are as follows:
The pole slot Q of selection is following three kinds of situations:
Taking mechanical angle θ is abscissa, when motor magnetic circuit be it is linear, i.e., magnetic circuit unsaturation and do not ignore slot effect, and not
Consider the magnetomotive force drop on core portion magnetic circuit, the rectangle magnetomotive force that single coil generates is decomposed into a series of harmonic magnetic and is moved
Gesture:
In formula: v is overtone order, and p is winding number of pole-pairs, kyvIt is winding v to the chording factor of pole harmonic wave, Q is unit electricity
Trough number θ is mechanical angle, and ω is exciting current angular frequency, and N is coil turn, and n is coil number, ImIt is effective for exciting current
Value, t are the time, and F is harmonic wave magnetomotive force;
The harmonic wave magnetomotive force of each phase winding is superimposed:
K in formulaqvFor winding distribution ratio;
Breadth coefficient under three kinds of pole slots:
In formula: k is positive integer, INT1And INT2Respectively numerical value [k/2] and [(k+1)/2] are rounded.
Winding coefficient k at this timewvAre as follows:
kwv=kyv*kqv (6)
K at this timeyv、kqv、kwvIt is all to change as v increases, and in the period with symmetrical.Wherein withHarmonic winding factor it is exhausted
It is maximum to value;In the case where the number of turns, electric current are certain, magnetomotive force amplitude and the winding coefficient of each harmonic are positively correlated, so
There is a pair of leading number of pole-pairs (p in fractional-slot concentratred winding1、p2) harmonic wave magnetomotive force maximum;
2) selection of stator winding pole slot
According to formula (2), it is known that there are three types of method is selected, any selection is one of for the pole slot cooperation of stator slot winding, passes through formula
(2) the leading number of pole-pairs of this pole slot cooperation is p known to3、p4。
3) flowing current separation of 1# rotor pole takes
The present invention is based on the principles that multifrequency couples pole field.The harmonic wave magnetic that the basis for selecting stator side of rotor slot generates is dynamic
The induced current that gesture and rotor-side generate influences the principle of the transmitting of electromagnetic power.The range of selection is also three kinds in formula (2)
Situation.Using winding function, using space harmonics magnetic field number of pole-pairs and slippage as independent variable, two-dimensional stator-rotator magnetic induction work is constructed
Make section.Study the amplitude of rotor induction magnetic linkage and the amplitude of frequency, rotor induced electromotive force respectively in the section.
By formula (4), the three-phase synthesis magnetomotive force of each harmonic is derived:
Influence of the slot effect to magnetic field is not considered, is introduced revolutional slip, is obtained the magnetic induction intensity under different slippages
Wherein lagGas length, μ0Space permeability, s are revolutional slip, and f (θ) is that three-phase synthesizes magnetomotive force, and B (θ) is air gap
The radial component of flux density relative motion.
It is identical as magnetomotive force waveform caused by winding as winding function, therefore winding function Fourier decomposition is obtained:
Therefore by obtaining formula (13) for formula (10) and (11) substitution (12):
Known in addition to the harmonic wave of v=1 or 3k-1 by formula (13), the magnetic linkage width that each harmonic magnetomotive force is generated in rotor-side
Value:
It brings formula (13) into formula (14), obtains formula (15)
Known in addition to the harmonic wave of v=1 or 3k-1 by formula (16), the induction that remaining each harmonic magnetomotive force is generated in rotor-side
Voltage magnitude:
In formula, QsRespectively motor stator and rotor slot number;M number of motor phases;ψrA-vRotor open circuit v subharmonic is generated in A phase
Magnetic linkage;BS(θ) is the radial component for the air gap flux density relative motion that stator generates;NrA(θ) stator and rotor A phase winding letter
Number;R winding radius;lefStator core;NSA、nrAStator and rotor umber of turn;ks-wv、kr-wvRespectively stator winding and rotor around
Group motivates the lower magnetomotive winding coefficient of certain subharmonic;S revolutional slip;ErA-vThe induced electricity that rotor open circuit v subharmonic is generated in A phase
Kinetic potential, | ψrA-v| it is each harmonic wave magnetic linkage amplitude, | ErA-v| it is each harmonic wave induced voltage amplitude.
Magnetic linkage amplitude and the number of turns are known by formula (11) to (15), stator core length, gas length, rotor pole slot, are determined
Winding coefficient under rotor each harmonic magnetic field is related;Induced voltage amplitude is also related to revolutional slip in addition to this.Wherein work as circle
Number, stator core length, gas length, rotor pole slot and revolutional slip it is certain in the case where, magnetic linkage amplitude and induced electricity pressure amplitude
The size of value is positively correlated with each harmonic magnetomotive force winding coefficient.
Dominating number of pole-pairs when rotor-side mid-score slot concentratred winding is p5、p6.It needs to meet:
{p5、p6}∩{p3、p4}=1 (18)
4) flowing current separation of 2# rotor pole takes
By formula (11) to (15) it is found that the selection mode of 2# rotor-side winding is identical as 1# rotor.But due to two turns
Son is distributed in stator two sides, and the induced voltage in 1# rotor windings will receive the influence of 2# rotor windings with induction magnetic linkage.Work as 2#
The leading number of pole-pairs of rotor-side winding is { p7、p8When, it needs to meet:
{p7、p8}∩{p3、p4}=1 and { p7、p8}∩{p5、p6}=0 (19)
Since 1# rotor and 2# rotor windings are dominated, number of pole-pairs is different, and magnetomotive force spectrum distribution is not also identical, mutual inductance compared with
It is small, motor is influenced little.
Choosing stator slot using formula (14)-(16) is 14 pole, 15 slot, and 1# rotor is 14 pole, 18 slot, and 2# rotor is 22 poles 24
Slot.Sketch motor working principle, that is, magnetic linkage coupling principle.
The working principle of the invention such as Fig. 3: the multifrequency of fractional-slot concentratred winding couples straight drive double feedback electric engine knot to pole field
Structure working principle by figure two-dimentional local expansion figure explanation.Three-phase stator winding is connected with power grid, 1# rotor and 2# rotor three-phase
Winding passes through current transformer respectively and realizes AC excitation.The magnetic flux that stator and rotor current excitation generates turns by 1# rotor yoke, 1#
Sub- winding, 1# rotor-side air gap, stator winding, 2# rotor-side air gap, 2# rotor windings, 2# rotor yoke forming circuit.
Magnetic linkage coupling principle: generating a pair of leading number of pole-pairs harmonic field in air gap under stator excitation and high order is humorous
Wave, 1# rotor and 2# rotor generate 7,8 and 11,13 number of pole-pairs harmonic fields, the harmonic wave frequency of 1# and 2# rotor respectively after excitation
Spectral property otherness is larger, and mutual inductance is negligible.The leading number of pole-pairs magnetic field of stator winding unit motor is 7 and 11 pairs of poles, and 1# turns
Mutual inductance between son and stator winding mainly passes through 7 pairs of pole field linkages, and the mutual inductance between 2# rotor and stator winding is mainly led to
Cross 11 pairs of pole field linkages.Coordinated by birotor it is ac-excited, realize stator current decoupled active and reactive control.
Claims (9)
1. a kind of multifrequency couples pole field and straight drives double feedback electric engine structure, it is characterised in that: stator including plate-like in a ring and
It is located at a rotor of stator two sides, axial magnetic field structure is used between rotor and stator, two between rotor and stator
There is air gap, cooperated by the pole slot of selection, so that the leading number of pole-pairs harmonic field difference that stator winding is generated in air gap
With the magnetic field coupling generated on two rotors.
2. multifrequency according to claim 1 couples straight drive double feedback electric engine structure to pole field, it is characterised in that: the stator
Annulus including stator core, stator winding and fixed stator iron core.
3. multifrequency according to claim 1 couples straight drive double feedback electric engine structure to pole field, it is characterised in that: the rotor
Including rotor windings and rotor core.
4. multifrequency according to claim 1 couples straight drive double feedback electric engine structure to pole field, it is characterised in that: stator and two
A rotor is all made of the Double Layer Winding of fractional-slot concentration.
5. multifrequency according to claim 1 couples straight drive double feedback electric engine structure to pole field, it is characterised in that: the stator
It is embedded in annulus for fixing by multiple entirety " work " type magnetic steel sheet, each " work " type silicon steel sheet is separated by one section of gap
Arrangement is slotted using two sides, stator winding is presented in " 0 " type insertion fluting.
6. multifrequency according to claim 1 couples straight drive double feedback electric engine structure to pole field, it is characterised in that: described two
A rotor is unilateral fluting, and using no yoke rotor core, multiple winding slots are arranged in medial surface, and it is embedding that " 0 " type is presented in winding coil
Enter in winding slot.
7. a kind of multifrequency couples straight drive double feedback electric engine structure pole slot design method to pole field, which is characterized in that including following step
It is rapid:
1) the pole flowing current separation of fractional-slot concentratred winding takes
Chording factor of the winding v to pole harmonic wave are as follows:
The pole slot Q of selection is following three kinds of situations:
Taking mechanical angle θ is abscissa, when motor magnetic circuit be it is linear, i.e., magnetic circuit unsaturation and ignore slot effect, and do not consider
The rectangle magnetomotive force that single coil generates, is decomposed into a series of harmonic magnetomotive force by the magnetomotive force drop on core portion magnetic circuit:
In formula: v is overtone order, and p is winding number of pole-pairs, kyvIt is winding v to the chording factor of pole harmonic wave, Q is unit motor slot
Number, θ are mechanical angle, and ω is exciting current angular frequency, and N is coil turn, and n is coil number, ImFor exciting current virtual value, t
For the time, F is the harmonic wave magnetomotive force of single coil;
The harmonic wave magnetomotive force of each phase winding is superimposed:
K in formulaqvFor winding distribution ratio, FOne phaseMagnetomotive force is combined to for one.
Winding coefficient k at this timewvFor wherein kwvRepresent winding coefficient:
kwv=kyv*kqv (5)
K at this timeyv、kqv、kwvIt is all to change as v increases, and in the period with symmetrical, wherein withK is positive integer in formula, humorous
The maximum absolute value of wave winding coefficient;In the case where the number of turns, electric current are certain, the magnetomotive force amplitude and winding coefficient of each harmonic
It is positively correlated, so fractional-slot concentratred winding has a pair of leading number of pole-pairs (p1、p2) harmonic wave magnetomotive force maximum;
For being chosen in all cooperations of the pole slot included in formula (2) of the pole slot cooperation in stator slot and two rotor slots;
2) selection of stator winding pole slot
According to formula (2), the pole slot of stator slot winding cooperates arbitrarily selects one of which from three kinds of situations, determines that this pole slot cooperates
Leading number of pole-pairs p3、p4;
3) one of rotor pole flowing current separation takes
Rotor slot is chosen, using winding function, using space harmonics magnetic field number of pole-pairs and slippage as independent variable, constructs two-dimensional fixed turn
The operation interval of sub- magnetic induction intensity determines the amplitude and frequency, rotor sense of rotor induction magnetic linkage respectively in the section
Answer the amplitude of electromotive force;
Dominating number of pole-pairs when rotor-side mid-score slot concentratred winding is p5、p6, it is necessary to meet formula (6):
{p5、p6}∩{p3、p4}=1 (6)
4) another rotor pole flowing current separation takes
The selection mode of another rotor-side winding is identical as one of rotor;
When the leading number of pole-pairs of another rotor-side winding is { p7、p8When, it is necessary to meet formula (7),
{p7、p8}∩{p3、p4}=1 and { p7、p8}∩{p5、p6}=0 (7)
By above step 1) -4) know, it is necessary to while meeting formula (2), (6), (7), the stator selected at this time and two rotors are real
Selected by border.
8. multifrequency according to claim 7 couples straight drive double feedback electric engine structure pole slot design method, feature to pole field
It is,
Breadth coefficient under three kinds of pole slots are as follows:
In formula: setting α0=2 π/Q, INT1And INT2Respectively numerical value [k/2] and [(k+1)/2] are rounded.
9. multifrequency according to claim 7 couples straight drive double feedback electric engine structure pole slot design method, feature to pole field
It is,
In step 3), by formula (4), the three-phase synthesis magnetomotive force of each harmonic is derived:
Influence of the slot effect to magnetic field is not considered, is introduced revolutional slip, is obtained the magnetic induction intensity under different slippages
Wherein lagGas length, s are revolutional slip, μ0Space permeability, f (θ) are that three-phase synthesizes magnetomotive force, B (θ)
For the radial component of air gap flux density relative motion.
It is identical as magnetomotive force waveform caused by winding as winding function, therefore winding function Fourier decomposition is obtained:
Therefore by obtaining formula (13) for formula (10) and (11) substitution (12):
Known in addition to the harmonic wave of v=1 or 3k-1 by formula (13), the magnetic linkage amplitude that each harmonic magnetomotive force is generated in rotor-side:
It brings formula (13) into formula (14), obtains formula (15)
Known in addition to the harmonic wave of v=1 or 3k-1 by formula (16), the induced voltage that remaining each harmonic magnetomotive force is generated in rotor-side
Amplitude:
In formula, QsRespectively motor stator and rotor slot number;M number of motor phases;ψrA-vThe magnetic that rotor open circuit v subharmonic is generated in A phase
Chain;BS(θ) is the radial component for the air gap flux density relative motion that stator generates;NrA(θ) stator and rotor A phase winding function;R around
Group radius;lefStator core;NSA、nrAStator and rotor umber of turn;ks-wv、kr-wvRespectively stator winding and rotor windings excitation
The lower magnetomotive winding coefficient of certain subharmonic;S revolutional slip;ErA-vThe induced electromotive force that rotor open circuit v subharmonic is generated in A phase, |
ψrA-v| it is each harmonic wave magnetic linkage amplitude, | ErA-v| it is each harmonic wave induced voltage amplitude.
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CN110417215A (en) * | 2019-08-01 | 2019-11-05 | 上海大学 | A kind of axial flux permanent magnet synchronous motor of multipole slot cooperation |
CN111817521A (en) * | 2019-09-24 | 2020-10-23 | 哈尔滨工业大学 | Axial magnetic field double-rotor AC motor |
CN112737160A (en) * | 2020-12-29 | 2021-04-30 | 东南大学 | Method for improving power factor of concentrated winding outer rotor vernier motor |
CN117828244A (en) * | 2024-03-06 | 2024-04-05 | 华中科技大学 | Linear induction motor chain type equivalent circuit and characteristic analysis method |
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Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN110417215A (en) * | 2019-08-01 | 2019-11-05 | 上海大学 | A kind of axial flux permanent magnet synchronous motor of multipole slot cooperation |
CN111817521A (en) * | 2019-09-24 | 2020-10-23 | 哈尔滨工业大学 | Axial magnetic field double-rotor AC motor |
CN111817521B (en) * | 2019-09-24 | 2022-11-08 | 哈尔滨工业大学 | Axial magnetic field double-rotor AC motor |
CN112737160A (en) * | 2020-12-29 | 2021-04-30 | 东南大学 | Method for improving power factor of concentrated winding outer rotor vernier motor |
CN112737160B (en) * | 2020-12-29 | 2022-04-19 | 东南大学 | Method for improving power factor of concentrated winding outer rotor vernier motor |
CN117828244A (en) * | 2024-03-06 | 2024-04-05 | 华中科技大学 | Linear induction motor chain type equivalent circuit and characteristic analysis method |
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