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Nonlinear magnetic equivalent circuit of the hybrid magnetic bearing

Nonlinear magnetic equivalent circuit of the hybrid magnetic bearing The purpose of this paper is to create a reliable nonlinear magnetic equivalent circuit (NMEC) of the hybrid magnetic bearing (HMB). Commonly used magnetic equivalent circuits of HMB omit a saturation effect of the magnetic material as well as the leakage and fringing flux. It results in imprecise modelling of the magnetic field distribution. On the other hand, only 3D finite element analysis (FEA) can be used to precisely simulate the magnetic field in this type of the magnetic bearing. The proposed NMEC incorporates the saturation effect of the magnetic material, as well as the leakage and fringing flux.Design/methodology/approachThe magnetic equivalent circuit of presented HMB is proposed to obtain a reliable model that ensures short calculation time. Developed NMEC incorporates the phenomena as the saturation effect, as well as the leakage and fringing flux. The reluctance of the air gap that includes the fringing flux was calculated using 3D FEA. Kirchhoffs’ laws were used to create a set of nonlinear equations that were iteratively solved by Broyden’s method.FindingsIncorporating into NMEC of the HMB a saturation effect of the magnetic material, as well as the leakage and fringing flux, resulted in the accurate model that was in good agreement with 3 D finite element model and the real object. The developed NMEC offers the calculation time in the range of miliseconds, therefore can be successfully used in the engineering design instead of the FEM.Originality/valuePresented NMEC can be considered as a fundamental model that can be successfully used for accurate and fast simulation of the HMB. Proposed NMEC includes considerable factors that decide about the model accuracy such as the saturation effect of the ferromagnetic material and the leakage and fringing flux. The developed NMEC can be used in the optimization procedures and for simulations of dynamic responses. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Nonlinear magnetic equivalent circuit of the hybrid magnetic bearing

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Publisher
Emerald Publishing
Copyright
© Emerald Publishing Limited
ISSN
0332-1649
DOI
10.1108/compel-10-2018-0423
Publisher site
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Abstract

The purpose of this paper is to create a reliable nonlinear magnetic equivalent circuit (NMEC) of the hybrid magnetic bearing (HMB). Commonly used magnetic equivalent circuits of HMB omit a saturation effect of the magnetic material as well as the leakage and fringing flux. It results in imprecise modelling of the magnetic field distribution. On the other hand, only 3D finite element analysis (FEA) can be used to precisely simulate the magnetic field in this type of the magnetic bearing. The proposed NMEC incorporates the saturation effect of the magnetic material, as well as the leakage and fringing flux.Design/methodology/approachThe magnetic equivalent circuit of presented HMB is proposed to obtain a reliable model that ensures short calculation time. Developed NMEC incorporates the phenomena as the saturation effect, as well as the leakage and fringing flux. The reluctance of the air gap that includes the fringing flux was calculated using 3D FEA. Kirchhoffs’ laws were used to create a set of nonlinear equations that were iteratively solved by Broyden’s method.FindingsIncorporating into NMEC of the HMB a saturation effect of the magnetic material, as well as the leakage and fringing flux, resulted in the accurate model that was in good agreement with 3 D finite element model and the real object. The developed NMEC offers the calculation time in the range of miliseconds, therefore can be successfully used in the engineering design instead of the FEM.Originality/valuePresented NMEC can be considered as a fundamental model that can be successfully used for accurate and fast simulation of the HMB. Proposed NMEC includes considerable factors that decide about the model accuracy such as the saturation effect of the ferromagnetic material and the leakage and fringing flux. The developed NMEC can be used in the optimization procedures and for simulations of dynamic responses.

Journal

COMPEL: Theinternational Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing

Published: Aug 14, 2019

Keywords: Field analysis; Magnetic bearing; Magnetic equivalent circuit

References

  • Determination of forces and linearized parameters of radial active magnetic bearings by finite element technique
    Antila, M.; Lantto, E.; Arkkio, A.
  • Research on a low power consumption six-pole heteropolar hybrid magnetic bearing
    Ji, L.; Xu, L.; Jin, C.
  • Design and optimization of a radial magnetic bearing for high-speed motor with flexible rotor
    Le, Y.; Fang, J.; Wang, K.
  • Design of a WFSM for an electric vehicle based on a nonlinear magnetic equivalent circuit
    Lee, J.-J.; Lee, J.; Kim, K.-S.
  • Computer-aided simulation analysis of a novel structure hybrid magnetic bearing
    Li, Y.; Li, W.; Lu, Y.
  • Practical quasi-newton methods for solving nonlinear systems
    Martinez, J.M.
  • Active magnetic suspension and bearing
    Piłat, A.; Petrone, G.
  • Variations of active magnetic bearings linearized model parameters analyzed by finite element computation
    Polajzer, B.; Stumberger, G.; Ritonja, J.; Dolinar, D.
  • Reluctance network method based dynamic model of radial active magnetic bearings
    Pollanen, W.; Nerg, J.; Pyrhonen, O.
  • Integrated design and optimization method of an asymmetric hybrid thrust magnetic bearing with secondary Air-Gap
    Ren, X.; Le, Y.; Wang, C.
  • The influence of the leg cutting on the core losses in the amorphous modular transformers
    Tomczuk, B.; Koteras, D.; Waindok, A.
  • Calculation models of the electrodynamic accelerator (railgun)
    Waindok, A.; Piekielny, P.
  • Reluctance network model of a permanent magnet tubular motor
    Waindok, A.; Tomczuk, B.
  • Simulation for the determination of the hybrid magnetic bearing's electromagnetic parameters
    Wajnert, D.; Tomczuk, B.
  • Nonlinear magnetic equivalent circuit of the hybrid magnetic bearing
    Wajnert, D.; Tomczuk, B.
  • An improved magnetic circuit model of a 3-DOF magnetic bearing considering leakage and cross-coupling effects
    Zhong, Y.; Wu, L.; Huang, X.; Fang, Y.; Zhang, J.