Analytical Model of Open-Circuit Air-Gap Field Distribution in Interior Permanent Magnet Machines Based on Magnetic Equivalent Circuit Method and Boundary Conditions of Macroscopic Equations

Ma, Chunfeng; Zhang, Jingjing; Wang, Jianfeng; Yang, Na; Liu, Qinghe; Zuo, Shuguang; Wu, Xudong; Wang, Puwei; Li, Jiaming; Fang, Jianguang

doi:10.1109/tmag.2021.3051498

Cited by 23 publications

(14 citation statements)

References 18 publications

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“…where i is the ith winding of phase A, B, and C, N is the number of turns per coil, a is the parallel-circuits per phase, Bg0 is the no-load air-gap flux density. In (23), Bg0(θr) is the air-gap flux density at the position of the ith winding in air-gap. Add up the induced EMF of all windings in this phase to get the no-load back EMF of this phase [23].…”

Section: B No-load Back Emfmentioning

confidence: 99%

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Analysis of Permanent Magnet-assisted Synchronous Reluctance Motor Based on Equivalent Reluctance Network Model

Wang

Liu

et al. 2022

Trans. Electr. Mach. Syst.

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In this paper, the equivalent reluctance network model (ERNM) is used to calculate the magnetic circuit of a permanent magnet-assisted synchronous reluctance motor (PMASynRM) and calculate no-load air-gap magnetic field and electromagnetic torque. Iteration method is used to solve the relative permeability of iron core. A novel reluctance network model based on actual distribution of the magnetic flux inside the motor is established. The magnetomotive force (MMF) generated by armature winding affects the relative permeability of iron core, which is considered in the calculation of ERNM to improve the accuracy when the motor is under load. ERNM can be used to measure air-gap flux density, no-load back electromotive force (EMF), the average value of motor torque, the armature winding voltage under load, and power factor. The method of calculating the motor performance is proposed. The results of calculation are consistent with finite element method (FEM) and the computational complexity is much less than that of the FEM. The results of ERNM has been verified, which will provide a simple method for motor design and analysis.

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Section: B No-load Back Emfmentioning

confidence: 99%

“…In (23), Bg0(θr) is the air-gap flux density at the position of the ith winding in air-gap. Add up the induced EMF of all windings in this phase to get the no-load back EMF of this phase [23].…”

Section: B No-load Back Emfmentioning

confidence: 99%

Analysis of Permanent Magnet-assisted Synchronous Reluctance Motor Based on Equivalent Reluctance Network Model

Wang

Liu

et al. 2022

Trans. Electr. Mach. Syst.

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“…The FEM can derive an accurate magnetic field distribution, but it takes a long time, and it is difficult to analyze intuitive design parameters. Many studies have analyzed the magnetic field distribution in the air gap using an analytical circuit model to predict accuracy results [12][13][14]. To provide intuitive solutions in extremely short times, field quantities such as leakage flux paths and saturation, which are important in iron loss calculations, are evaluated using analytical circuit methods [15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Analysis of an IPMSM Hybrid Magnetic Equivalent Circuit

Song

Kim

2021

Energies

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The most common type of electric vehicle traction motor is the interior permanent magnet synchronous motor (IPMSM). For IPMSM designs, engineers make use of the magnetic equivalent circuit method, which is a lumped constant circuit method, and the finite element method, which is a distributed constant circuit method. The magnetic equivalent circuit method is useful for simple design through fast and intuitive parameters, but it cannot derive the distribution of the magnetic field. The finite element method can derive an accurate magnetic field distribution, but it takes a long time and is difficult to use for analysis of intuitive design parameters. In this study, the magnetic equivalent circuit method and Carter’s coefficient were combined for rotor structure design and accurate identification and analysis of circuit constants. In this paper, this design method is called the hybrid magnetic equivalent circuit method. Intuitive design parameters are derived through this hybrid magnetic equivalent circuit method. The air gap flux density distribution according to rotor shape, no-load-induced voltage, and cogging torque was analyzed and compared to results of the finite element method. The proposed method was found to achieve a short solving time and acceptably accurate results.

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“…The FEM is used in order to verify the theory and the expertise of the designer is required in order to properly utilize the FEM. In other words, the advantages and limitations of existing design techniques are clear [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…Figure 6. the air gap flux line distribution per slot when there are slots.The function of the air gap length of the slot open region is expressed as equation(16). In order to derive function of the slot fator, the magnetic circuit equation obtained by functionalizing the air gap length is divided into the magnetic circuit equation before functionalization.…”

mentioning

confidence: 99%

Analysis Study of Hybrid Magnetic Equivalent Circuit of IPMSM

Song¹,

B²,

Kim³

2021

Preprint

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Recently, the demand for electric vehicle is increasing worldwide due to eco-friendly policies and stricter emission regulations. As a traction motor for electric vehicle, interior permanent magnet synchronous motors are mainly used. For the design of the interior permanent magnet synchronous motor, the magnetic equivalent circuit method, which is a method of lumped constant circuit, and the finite element method, which is a method of distributed constant circuit, mainly are used. Magnetic equivalent circuit method is useful for simple design through fast and intuitive parameters, but it cannot derive the distribution of magnetic field. The finite element method can derive an accurate magnetic field distribution, but it takes a long time to analyze and it is difficult to analyze intuitive design parameters. In this paper, magnetic equivalent circuit method and Carter coefficient are mixed for rotor structure design. This design method will be called the hybrid magnetic equivalent circuit method. Intuitive design parameters are derived through this hybrid magnetic equivalent circuit method. We will derive the Air gap flux density distribution according to rotor shape, no-load induced voltage, and cogging torque, and compare and verify it with the finite element method.

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Analytical Model of Open-Circuit Air-Gap Field Distribution in Interior Permanent Magnet Machines Based on Magnetic Equivalent Circuit Method and Boundary Conditions of Macroscopic Equations

Cited by 23 publications

References 18 publications

Analysis of Permanent Magnet-assisted Synchronous Reluctance Motor Based on Equivalent Reluctance Network Model

Analysis of Permanent Magnet-assisted Synchronous Reluctance Motor Based on Equivalent Reluctance Network Model

Analysis of an IPMSM Hybrid Magnetic Equivalent Circuit

Analysis Study of Hybrid Magnetic Equivalent Circuit of IPMSM

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