CN115632589A - Fractional slot concentrated winding V-shaped permanent magnet synchronous motor electromagnetic torque quantitative decomposition method - Google Patents
Fractional slot concentrated winding V-shaped permanent magnet synchronous motor electromagnetic torque quantitative decomposition method Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
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- H—ELECTRICITY
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- H—ELECTRICITY
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- H02P25/00—Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details
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Abstract
The invention discloses a fractional slot concentrated winding V-shaped permanent magnet synchronous motor electromagnetic torque quantitative decomposition method which is used for quantitatively decomposing the electromagnetic torque, the magnetic gear torque and the reluctance torque of a traditional permanent magnet synchronous motor in the fractional slot concentrated winding V-shaped permanent magnet synchronous motor electromagnetic torque for the first time and lays a foundation for improving the fractional slot concentrated winding V-shaped permanent magnet synchronous motor electromagnetic torque output by controlling armature winding current. The invention provides a method for quantitatively decomposing the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor, and provides an idea for researching the electromagnetic torque generation mechanism of different types of permanent magnet synchronous motors.
Description
Technical Field
The invention relates to the technical field of permanent magnet synchronous motors, in particular to a quantitative decomposition method for electromagnetic torque of a fractional-slot concentrated winding V-shaped permanent magnet synchronous motor.
Background
The fractional-slot concentrated winding permanent magnet synchronous motor has the characteristics of high power density/efficiency, high slot fullness rate, good fault tolerance and the like, and is widely applied to the fields of space shuttles, electric automobiles and the like. Compared with the integer slot distributed winding permanent magnet synchronous motor, the fractional slot concentrated winding permanent magnet synchronous motor has richer armature reaction magnetomotive force harmonic waves, and the armature reaction magnetomotive force harmonic waves are important causes of parasitic effects such as high eddy current loss, electromagnetic vibration and the like of the fractional slot concentrated winding permanent magnet synchronous motor. The traditional method for analyzing the electromagnetic torque of the fractional-slot concentrated winding permanent magnet synchronous motor mainly analyzes the electromagnetic torque according to a fundamental wave armature reaction magnetic field which is generated after an armature winding is electrified and has the same pole pair number as a permanent magnet magnetic field, but the method does not consider the contribution of air gap magnetic field harmonic waves to the electromagnetic torque. Therefore, the research on the influence of the armature reaction magnetomotive force harmonic waves of the fractional-slot concentrated winding permanent magnet synchronous motor on the electromagnetic torque is of great significance
Disclosure of Invention
Aiming at the defects and shortcomings of the prior art, the invention provides a quantitative decomposition method for electromagnetic torque of a fractional slot concentrated winding V-shaped permanent magnet synchronous motor.
In order to achieve the purpose, the invention specifically adopts the following technical scheme:
a fractional slot concentrated winding V-shaped permanent magnet synchronous motor electromagnetic torque quantitative decomposition method is characterized by comprising the following steps:
step S1: establishing a magnetomotive force model and a magnetic conductance model of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor based on the stator slot modulation effect, and determining the pole pair number and the rotating speed of modulated permanent magnet air gap flux density harmonic waves and armature reaction air gap flux density harmonic waves;
step S2: analyzing the phase and amplitude of the air gap flux density harmonic when the fractional slot concentrated winding V-shaped permanent magnet synchronous motor generates stable electromagnetic torque, and according to the stabilityAn electromagnetic torque generation mechanism decomposes the electromagnetic torque of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor into the electromagnetic torque T of the traditional permanent magnet synchronous motor t And magnetic gear torque T m ；
And step S3: establishing an equivalent current surface model of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor to meet the requirement of the equivalent front and rear air gap flux density P r Keeping the amplitude and phase of the subharmonic unchanged, and reacting the modulated partial armature with air gap flux density P r Recovery of subharmonic to armature reaction magnetomotive force N s -P r Sub-harmonic, analytic armature reaction magnetomotive force P r Sub sum N s -P r A sub-harmonic content;
and step S4: determining armature reaction magnetomotive force P according to the equivalent current surface model of the fractional slot concentrated winding V-type permanent magnet synchronous motor r Sub sum N s -P r Rotational speed of subharmonic wave, establishing P of sinusoidal magnetization r Counter electrode, N s -P r Calculating the electromagnetic torque T of the traditional permanent magnet synchronous motor by using the antipodal equivalent permanent magnet model t And magnetic gear torque T m ；
Step S5: considering magnetic saturation of rotor core, P is respectively r Counter electrode, N s -P r Freezing the magnetic conductivity of the stator and the rotor of the antipodal equivalent permanent magnet model, and concentrating the fractional slot into the electromagnetic torque T of the winding V-shaped permanent magnet synchronous motor e Quantitatively decomposing out permanent magnet torque T of traditional permanent magnet synchronous motor tf Permanent magnet torque T of magnetic gear mf Reluctance torque T r 。
Further, the permanent magnet magnetomotive force model of the V-shaped permanent magnet synchronous motor established in step S1 is:
in the formula (1), F i Represents the ith harmonic amplitude of the permanent magnet magnetomotive force, i is the harmonic frequency of the permanent magnet magnetomotive force, P r Representing the number of pole pairs, omega, of the permanent magnet r The mechanical angular speed of the rotor, t is time, and theta is a phase angle;
the established stator magnetic conductance model of the V-shaped permanent magnet synchronous motor is as follows:
in the formula (2), Λ k Represents the kth harmonic amplitude of the stator magnetic conductance, k is the harmonic number of the stator magnetic conductance, N s Representing the number of stator slots;
the expression of the permanent magnet air gap flux density obtained by multiplying the permanent magnet magnetomotive force of the V-shaped permanent magnet synchronous motor and the magnetic conductance of the stator is as follows:
according to the formula (3), after the modulation of the stator slots, the pole pair number generated by the permanent magnet is | iP r ±kN s I, rotational speed of
The magnetic density harmonic of the permanent magnet air gap; the armature reaction magnetomotive force generated by the armature winding is as follows:
in the formula (4), j and m are positive integers determined according to the phase splitting of the armature winding, F j And F m Respectively representing j-th harmonic amplitude and m-th harmonic amplitude of the armature reaction magnetomotive force, and multiplying the armature reaction magnetomotive force and the stator magnetic conductance to obtain an expression of armature reaction air gap flux density:
after modulation of the stator slots, the armature winding generates a pole pair number of j (m) +/-kN s At a rotational speed of
The armature of (c) reflects air gap flux density harmonics.
Further, when the permanent magnetic field and the armature reaction magnetic field act together to generate a stable torque in step S2, the permanent magnetic air gap flux density harmonic and the armature reaction air gap flux density harmonic should satisfy the following relationship:
in the formula (6), n represents the number of stator magnetic conductance harmonics for modulating permanent magnet magnetomotive force, when P r When the torque is not less than j, the permanent magnetic field and the armature reaction magnetic field interact to generate stable torque to react the armature with magnetomotive force P r Separation of torque generated by subharmonic into electromagnetic torque T of traditional permanent magnet synchronous motor t (ii) a When P is r When j is not equal, m = N of magnetic gear torque generation mechanism is satisfied s -P r And the frequencies f of the two magnetic fields are equal, the stator slot reacts the armature with the magnetomotive force N s -P r Subharmonic modulation to armature reaction air gap flux density P r The subharmonic wave and the permanent magnetic field act together to generate stable torque to react the armature with magnetomotive force N s -P r Separation of subharmonic generated torque into magnetic gear torque T m 。
Further, in step S3, the equivalent current surface model is obtained by setting a virtual equivalent current surface with infinitesimal thickness distributed inside the air gap of the stator slot to replace the armature current, selecting the equivalent current surface as the only excitation source of the motor without considering the modulation effect of the stator slot, analyzing the magnetic density harmonic of the armature reaction air gap of the equivalent current surface model, and calculating the armature reaction magnetomotive force P r And N s -P r The subharmonic content.
Further, in step S4, the equivalent permanent magnet model is obtained by taking the number of pole pairs P into account without considering the modulation effect of the stator slots r At a rotational speed of ω r The sine magnetizing permanent magnet equivalent armature reaction magnetomotive force P r A sub-harmonic; using number of pole pairs as N s -P r At a rotational speed of
The sine magnetizing permanent magnet equivalent armature reaction magnetomotive force N s -P r A sub-harmonic; to P r Solving the equivalent permanent magnet model to obtain the electromagnetic torque T of the traditional permanent magnet synchronous motor t (ii) a To N s -P r Solving the equivalent permanent magnet model of the antipode to obtain the torque T of the magnetic gear m 。
Further, P is frozen in step S5 r Obtaining the permanent magnet torque T of the traditional permanent magnet synchronous motor by the magnetic conductivity of the stator and rotor cores of the antipodal equivalent permanent magnet model tf And the reluctance torque T of the traditional permanent magnet synchronous motor tr (ii) a Freezing N s -P r Obtaining the permanent magnet torque T of the magnetic gear by the magnetic conductivity of the stator and rotor cores of the antipode equivalent permanent magnet model mf And magnetic gear reluctance torque T mr Calculating the reluctance torque T of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor r Is composed of
T r ＝T tr +T mr (7)
Electromagnetic torque T of V-shaped permanent magnet synchronous motor with quantitatively decomposed fractional slot concentrated windings e The proportion of the permanent magnet torque of the traditional permanent magnet synchronous motor is obtained
The permanent magnet torque of the magnetic gear accounts for the ratio of
Reluctance torque ratio of
Compared with the prior art, the invention and the optimized scheme thereof have the following beneficial effects:
(1) The electromagnetic torque, the magnetic gear torque and the reluctance torque of the traditional permanent magnet synchronous motor in the electromagnetic torque of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor are quantitatively decomposed for the first time, and a foundation is laid for improving the electromagnetic torque output of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor by controlling the armature winding current.
(2) The quantitative decomposition method for the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor provides an idea for the research of the electromagnetic torque generation mechanism of different types of permanent magnet synchronous motors.
Drawings
FIG. 1 is a schematic diagram of a fractional-slot concentrated winding V-type permanent magnet synchronous motor model in an embodiment of the present invention;
FIG. 2 is a schematic diagram of an equivalent current surface model in accordance with an embodiment of the present invention;
FIG. 3 is a schematic diagram of an equivalent permanent magnet model in an embodiment of the present invention;
FIG. 4 shows the electromagnetic torque T of the fractional-slot concentrated winding V-type PMSM in the embodiment of the present invention e Quantitative decomposition results.
Detailed Description
In order to make the features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in detail as follows:
it should be noted that the following detailed description is exemplary and is intended to provide further explanation of the disclosure. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
As shown in fig. 1 to fig. 4, the present embodiment provides a method for quantitatively decomposing electromagnetic torque of a fractional-slot concentrated winding V-type permanent magnet synchronous motor, including the following steps:
step S1: as shown in fig. 1, a 12-slot 10-pole fractional-slot concentrated winding V-type permanent magnet synchronous motor model is established, based on a stator slot modulation effect, a magnetomotive force model and a magnetic conductance model of the fractional-slot concentrated winding V-type permanent magnet synchronous motor are established, and the pole pair number and the rotating speed of a modulated permanent magnet air gap flux density harmonic and an armature reaction air gap flux density harmonic are determined;
step S2: analyzing the phase and amplitude of air gap flux density harmonic when the fractional slot concentrated winding V-shaped permanent magnet synchronous motor generates stable electromagnetic torque, and decomposing the electromagnetic torque of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor into an electromagnetic torque component T of the traditional permanent magnet synchronous motor according to a stable electromagnetic torque generation mechanism t And magnetic gear torque component T m ；
And step S3: building fractional slot setsAn equivalent current surface model of the middle winding V-shaped permanent magnet synchronous motor is shown in figure 2, and the equivalent front and rear air gap flux density P is satisfied r Keeping the amplitude and phase of the subharmonic unchanged, and enabling the modulated partial armature reaction air gap flux density P r Recovery of subharmonic to armature reaction magnetomotive force N s -P r Subharmonic, analysis of armature reaction magnetomotive force P r Sub sum N s -P r A sub-harmonic content;
and step S4: determining armature reaction magnetomotive force P according to the equivalent current surface model of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor r Sub sum N s -P r Rotational speed of subharmonic wave, establishing P of sinusoidal magnetization r Counter electrode, N s -P r Calculating the electromagnetic torque T of the traditional permanent magnet synchronous motor by using the antipodal equivalent permanent magnet model t And magnetic gear torque T m ；
Step S5: considering magnetic saturation of rotor core, P is respectively r Counter electrode, N s -P r Freezing the magnetic conductivity of the stator and the rotor of the antipodal equivalent permanent magnet model, and concentrating the fractional slot into the electromagnetic torque T of the winding V-shaped permanent magnet synchronous motor e Quantitatively decomposing permanent magnet torque T of traditional permanent magnet synchronous motor tf Permanent magnet torque T of magnetic gear mf Reluctance torque T r 。
As a preferable scheme, the step S1 specifically includes the following steps:
the permanent magnet magnetomotive force model of the V-shaped permanent magnet synchronous motor is as follows:
in the formula (1), F i Represents the ith harmonic amplitude of the permanent magnet magnetomotive force, i is the harmonic frequency of the permanent magnet magnetomotive force, P r Representing the number of pole pairs, omega, of the permanent magnet r The mechanical angular speed of the rotor, t is time, and theta is a phase angle.
In the step S1, a stator flux guide model of the V-shaped permanent magnet synchronous motor is:
in the formula (2), Λ k Representing the amplitude of kth harmonic of stator magnetic conductance, k being the harmonic number of stator magnetic conductance, N s Indicating the number of stator slots.
In the step S1, the permanent magnet magnetomotive force of the V-shaped permanent magnet synchronous motor is multiplied by the magnetic conductance of the stator to obtain the expression of the permanent magnet air gap flux density:
as can be seen from the formula (3), after the modulation of the stator slots, the pole pair number generated by the permanent magnet is | iP r ±kN s I, rotational speed of
The magnetic density harmonic of the permanent magnet air gap; the armature reaction magnetomotive force generated by the armature winding is as follows:
in the formula (4), j and m are positive integers determined according to the phase splitting of the armature winding, F j And F m Respectively representing j th harmonic amplitude and m th harmonic amplitude of the armature reaction magnetomotive force, and multiplying the armature reaction magnetomotive force and the stator magnetic conductance to obtain an expression of armature reaction air gap flux density
After being modulated by the stator slots, the armature winding generates the pole pair number of | j (m) ± kN s I, rotational speed of
The armature reaction air gap flux density harmonic of (a).
The step S2 specifically includes the following steps:
when the permanent magnetic field and the armature reaction magnetic field act together to generate stable torque, the permanent magnetic air gap flux density harmonic wave and the armature reaction air gap flux density harmonic wave satisfy the following relationship:
in the formula (6), n represents the number of stator magnetic conductance harmonics for modulating permanent magnet magnetomotive force, when P r When the torque is not less than j, the permanent magnetic field and the armature reaction magnetic field interact to generate stable torque to react the armature with magnetomotive force P r Separation of torque generated by subharmonic into electromagnetic torque T of traditional permanent magnet synchronous motor t (ii) a When P is present r When j is not equal, m = N of magnetic gear torque generation mechanism is satisfied s -P r And the frequencies f of the two magnetic fields are equal, the stator slot reacts the armature with the magnetomotive force N s -P r Subharmonic modulation to armature reaction air gap flux density P r The subharmonic and the permanent magnetic field act together to generate stable torque to react the armature with magnetomotive force N s -P r Separation of subharmonic generated torque into magnetic gear torque T m 。
The step S3 specifically includes the following steps:
the equivalent current surface model is characterized in that an armature current is replaced by an equivalent current surface with infinitesimal thickness distributed in an air gap of a stator notch, the modulation effect of the stator slot is not considered, the equivalent current surface is selected as the only excitation source of the motor, the equivalent current surface model armature reaction air gap flux density harmonic is analyzed, and the armature reaction magnetomotive force P is calculated r And N s -P r The subharmonic content.
The step S4 specifically includes the following steps:
the equivalent permanent magnet model shown in FIG. 3 is implemented by using P pole pairs r At a rotational speed of ω r The sine magnetizing permanent magnet equivalent armature reaction magnetomotive force P r A sub-harmonic; using number of pole pairs as N s -P r At a rotational speed of
The sine magnetizing permanent magnet equivalent armature reaction magnetomotive force N s -P r A sub-harmonic. To P r Solving the pole equivalent permanent magnet model to obtain the electromagnetic torque T of the traditional permanent magnet synchronous motor t (ii) a To N s -P r Solving the equivalent permanent magnet model of the antipode to obtain the torque T of the magnetic gear m 。
The step S5 specifically includes the following steps:
freezing P r Obtaining the permanent magnet torque T of the traditional permanent magnet synchronous motor by the permeability of the stator and rotor cores of the antipode equivalent permanent magnet model tf And the reluctance torque T of the traditional permanent magnet synchronous motor tr (ii) a Freezing N s -P r Obtaining the permanent magnet torque T of the magnetic gear by the magnetic conductivity of the stator and rotor cores of the antipodal equivalent permanent magnet model mf And magnetic gear reluctance torque T mr Calculating the reluctance torque T of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor r Is composed of
T r ＝T tr +T mr (7)
Electromagnetic torque T of V-shaped permanent magnet synchronous motor with quantitatively decomposed fractional slot concentrated windings e As shown in fig. 4, the ratio of the permanent magnet torque of the conventional permanent magnet synchronous motor is obtained
77.3 percent and the permanent magnet torque of the magnetic gear is in proportion
16.7% and a reluctance torque ratio of
It was found to be 5.1%.
While the invention has been described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the scope of the invention. However, any simple modification, equivalent change and modification of the above embodiments according to the technical essence of the present invention are within the protection scope of the technical solution of the present invention.
The present invention is not limited to the above-mentioned preferred embodiments, and any other quantitative method for decomposing electromagnetic torque of V-type permanent magnet synchronous motor with fractional slot concentrated winding in various forms can be obtained according to the teaching of the present invention.
Claims (6)
1. A quantitative decomposition method for electromagnetic torque of a fractional-slot concentrated winding V-shaped permanent magnet synchronous motor is characterized by comprising the following steps:
step S1: establishing a magnetomotive force model and a magnetic conductance model of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor based on the stator slot modulation effect, and determining the pole pair number and the rotating speed of modulated permanent magnet air gap flux density harmonic waves and armature reaction air gap flux density harmonic waves;
step S2: analyzing the phase and amplitude of air gap flux density harmonic when the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor generates stable electromagnetic torque, and decomposing the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor into the electromagnetic torque T of the traditional permanent magnet synchronous motor according to a stable electromagnetic torque generation mechanism t And magnetic gear torque T m ；
And step S3: establishing an equivalent current surface model of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor to meet the requirement of the equivalent front and rear air gap flux density P r Keeping the amplitude and phase of the subharmonic unchanged, and enabling the modulated partial armature reaction air gap flux density P r Recovery of subharmonic to armature reaction magnetomotive force N s -P r Sub-harmonic, analytic armature reaction magnetomotive force P r Sub sum N s -P r Sub-harmonic content;
and step S4: determining armature reaction magnetomotive force P according to the equivalent current surface model of the fractional slot concentrated winding V-type permanent magnet synchronous motor r Sub sum N s -P r Rotational speed of subharmonic, establishing P of sinusoidal magnetization r Counter electrode, N s -P r Calculating the electromagnetic torque T of the traditional permanent magnet synchronous motor by using the antipodal equivalent permanent magnet model t And magnetic gear torque T m ；
Step S5: considering magnetic saturation of rotor core, P is respectively r Counter electrode, N s -P r Freezing the magnetic conductivity of the stator and the rotor of the antipodal equivalent permanent magnet model, and concentrating the fractional slot into the electromagnetic torque T of the winding V-shaped permanent magnet synchronous motor e Quantitatively decomposing permanent magnet torque T of traditional permanent magnet synchronous motor tf Permanent magnet torque T of magnetic gear mf Reluctance torque T r 。
2. The quantitative decomposition method for the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor according to claim 1 is characterized in that:
the permanent magnet magnetomotive force model of the V-shaped permanent magnet synchronous motor established in the step S1 is as follows:
in the formula (1), F i Represents the ith harmonic amplitude of the permanent magnet magnetomotive force, i is the harmonic frequency of the permanent magnet magnetomotive force, P r Representing the number of pole pairs, omega, of the permanent magnet r The mechanical angular speed of the rotor, t is time, and theta is a phase angle;
the established stator magnetic conductance model of the V-shaped permanent magnet synchronous motor is as follows:
in the formula (2), Λ k Represents the kth harmonic amplitude of the stator magnetic conductance, k is the harmonic number of the stator magnetic conductance, N s Representing the number of stator slots;
the expression of the permanent magnet air gap flux density obtained by multiplying the permanent magnet magnetomotive force of the V-shaped permanent magnet synchronous motor and the stator magnetic conductance is as follows:
according to the formula (3), after the modulation of the stator slot, the permanent magnet generates the pole pair number of | iP r ±kN s At a rotational speed of
The magnetic density harmonic of the permanent magnet air gap; the armature reaction magnetomotive force generated by the armature winding is as follows:
in the formula (4), j and m are positive integers determined according to the phase splitting of the armature winding, F j And F m Respectively representing j-th harmonic amplitude and m-th harmonic amplitude of the armature reaction magnetomotive force, and multiplying the armature reaction magnetomotive force and the stator magnetic conductance to obtain an expression of armature reaction air gap flux density:
after being modulated by the stator slots, the armature winding generates the pole pair number of | j (m) ± kN s I, rotational speed of
The armature of (c) reflects air gap flux density harmonics.
3. The quantitative decomposition method for the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor according to claim 1 is characterized in that:
when the permanent magnetic field and the armature reaction magnetic field act together to generate stable torque in the step S2, the permanent magnetic air gap flux density harmonic and the armature reaction air gap flux density harmonic should satisfy the following relation:
in the formula (6), n represents the number of stator magnetic conductance harmonics for modulating permanent magnet magnetomotive force, when P r When the torque is not less than j, the permanent magnetic field and the armature reaction magnetic field interact to generate stable torque to react the armature with magnetomotive force P r Torque generated by subharmonicSeparated into electromagnetic torque T of traditional permanent magnet synchronous motor t (ii) a When P is present r When j is not equal, m = N of magnetic gear torque generation mechanism is satisfied s -P r And the frequencies f of the two magnetic fields are equal, the stator slot reacts the armature with the magnetomotive force N s -P r Subharmonic modulation to armature reaction air gap flux density P r The subharmonic and the permanent magnetic field act together to generate stable torque to react the armature with magnetomotive force N s -P r Separation of subharmonic generated torque into magnetic gear torque T m 。
4. The quantitative decomposition method for the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor according to claim 1 is characterized in that: in the step S3, the equivalent current surface model is that the armature current is replaced by the virtual equivalent current surface with infinitesimal thickness distributed in the stator notch air gap, the modulation effect of the stator slot is not considered, the equivalent current surface is selected as the only excitation source of the motor, the equivalent current surface model armature reaction air gap flux density harmonic wave is analyzed, and the armature reaction magnetomotive force P is calculated r And N s -P r The subharmonic content.
5. The quantitative decomposition method for the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor according to claim 1 is characterized in that: in step S4, the equivalent permanent magnet model does not consider the modulation effect of the stator slot, and utilizes the number of pole pairs as P r Rotational speed of omega r The sine magnetizing permanent magnet equivalent armature reaction magnetomotive force P r A sub-harmonic; using number of pole pairs as N s -P r At a rotational speed of
The sine magnetizing permanent magnet equivalent armature reaction magnetomotive force N s -P r A sub-harmonic; to P r Solving the equivalent permanent magnet model to obtain the electromagnetic torque T of the traditional permanent magnet synchronous motor t (ii) a To N s -P r Solving the pole equivalent permanent magnet model to obtain the torque T of the magnetic gear m 。
6. The quantitative decomposition method for the electromagnetic torque of the fractional-slot concentrated winding V-shaped permanent magnet synchronous motor according to claim 1 is characterized in that:
freezing P in step S5 r Obtaining the permanent magnet torque T of the traditional permanent magnet synchronous motor by the magnetic conductivity of the stator and rotor cores of the antipodal equivalent permanent magnet model tf And the reluctance torque T of the traditional permanent magnet synchronous motor tr (ii) a Freezing N s -P r Obtaining the permanent magnet torque T of the magnetic gear by the magnetic conductivity of the stator and rotor cores of the antipode equivalent permanent magnet model mf And magnetic gear reluctance torque T mr Calculating the reluctance torque T of the fractional slot concentrated winding V-shaped permanent magnet synchronous motor r Is composed of
T r ＝T tr +T mr (7)
Electromagnetic torque T of V-shaped permanent magnet synchronous motor with quantitatively decomposed fractional slot concentrated windings e The proportion of the permanent magnet torque of the traditional permanent magnet synchronous motor is obtained
The permanent magnet torque of the magnetic gear is in proportion
Reluctance torque ratio of
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