Accurate Prediction of Magnetic Field and Magnetic Forces in Permanent Magnet Motors Using an Analytical Solution

Liu, Z.J.; Li, J.T.

doi:10.1109/tec.2008.926034

Cited by 114 publications

(50 citation statements)

References 20 publications

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“…Analytical approaches for the magnetic field computation in classical ferromagnetic machines have been studied recently by many authors as Bellara et al [1], Dubas and Espanet [6], Liu and Li [10], Chebak et al [4], Tiegna et al [16], Zhu et al [17] for permanent magnets machines and Lubin et al [11] for reluctance motor. A general formulation has been proposed by Gysen et al [8].…”

Section: Problem Description and Assumptionsmentioning

confidence: 99%

Analytical calculation of the flux density distribution in a superconducting reluctance machine with HTS bulks rotor

Male

Lubin

Mezani

et al. 2013

Mathematics and Computers in Simulation

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This paper deals with the analytical computation of the magnetic field distribution in a wholly superconducting reluctance motor. The rotor is made with high temperature superconductor bulks which nearly present a diamagnetic behavior under zero-field cooling. The stator consists of superconducting armature windings fed by AC currents of high amplitude. The superconducting stator winding can generate a high rotating magnetic field without the need of ferromagnetic material in the rotor. The electromagnetic torque is obtained by the interaction between the rotating magnetic field created by the superconducting stator windings and the variable reluctance due to the superconducting bulks. The proposed analytical method is based on the resolution of Laplace's equation (by the separation of variables method) for each sub-domain, i.e. rotor shaft, holes between superconducting bulks and air-gap. The global solution is obtained using boundary and continuity conditions. Magnetic field distribution and electromagnetic torque obtained by the analytical method are compared with those obtained from finite element analyses.

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Section: Problem Description and Assumptionsmentioning

confidence: 99%

Analytical calculation of the flux density distribution in a superconducting reluctance machine with HTS bulks rotor

Male

Lubin

Mezani

et al. 2013

Mathematics and Computers in Simulation

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“…In particular two important aspects have to be taken into consideration during the design and analysis process: accuracy and computational time [1]. Many analytical models [2]- [4] have been developed. Such models are very useful for an initial design, but they cannot be adopted for accurate representation of the machine due to complex geometric shapes and nonlinear materials.…”

Section: Introductionmentioning

confidence: 99%

A computational technique for iron losses in electrical machines

Bottesi

Alberti

Sabariego

et al. 2016

2016 IEEE Energy Conversion Congress and Exposition (ECCE)

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“…Liu [11,12] presents an analytical model suitable for analyzing permanent magnet motors with slotted stator core which calculate the air-gap flux density taking into account the effect of the interaction between the pole transitions and slot openings and solving the governing functions. In [7], the interface of magnet field between slots and air gap was obtained in form of Fourier series.…”

Section: Introductionmentioning

confidence: 99%

“…In [7], and [11][12][13][14], the field domain was divided into some types of subdomains, and calculated according to interface and boundary condition. The radial and circumferential components of magnet magnetization were expressed in the form of Fourier series to solve Possion equation in the concentric permanent magnet.…”

Section: Introductionmentioning

confidence: 99%

Improved Method for Calculating Magnetic Field of Surface-Mounted Permanent Magnet Machines Accounting for Slots and Eccentric Magnet Pole

Zhou¹,

Li²,

Wang³

et al. 2015

Journal of Electrical Engineering and Technology

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-This paper presented an improved analytical method for calculating the open-circuit magnetic field in the surface-mounted permanent magnet machines accounting for slots and eccentric magnet pole. Magnetic field produced by radial and parallel permanent magnet is equivalent to that produced by surface current according to equivalent surface-current method of permanent magnet. The model is divided into two types of subdomains. The field solution of each subdomain is obtained by applying the interface and boundary conditions. The magnet field produced by equivalent surface current is superposed according to superposition principle of vector potential. The investigation shows harmonic contents of radial flux density can be reduced a lot by changing eccentric distance of eccentric magnet poles compared with conventional surface-mounted permanent-magnet machines with concentric magnet poles. The FE(finite element) results confirm the validity of the analytical results with the proposed model.

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Accurate Prediction of Magnetic Field and Magnetic Forces in Permanent Magnet Motors Using an Analytical Solution

Cited by 114 publications

References 20 publications

Analytical calculation of the flux density distribution in a superconducting reluctance machine with HTS bulks rotor

Analytical calculation of the flux density distribution in a superconducting reluctance machine with HTS bulks rotor

A computational technique for iron losses in electrical machines

Improved Method for Calculating Magnetic Field of Surface-Mounted Permanent Magnet Machines Accounting for Slots and Eccentric Magnet Pole

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