A 3D finite element analysis of large-scale nonlinear dynamic electromagnetic problems by harmonic balancing and domain decomposition

Wang Yao; Jian Ming Jin; Philip T. Krein

doi:10.1002/jnm.2060

A 3D finite element analysis of large-scale nonlinear dynamic electromagnetic problems by harmonic balancing and domain decomposition

Wang Yao, Jian Ming Jin, Philip T. Krein

Research output: Contribution to journal › Article › peer-review

Abstract

The dual-primal finite element tearing and interconnecting (FETI-DP) method is applied together with the harmonic balance method and the fixed-point (FP) method to improve the efficiency of three-dimensional finite element analysis of large-scale nonlinear dynamic electromagnetic problems. The FETI-DP method decomposes the original problem into smaller subdomains problems. Combined with parallel computing techniques, the total computation time can be reduced significantly. To account for nonlinear B-H characteristics, the FP method is applied together with the polarization formulation. Because the FP method assumes a constant reluctivity, it decouples the systems of different harmonics. The FETI-DP method can then be applied to speed up the simulation of each harmonic in each FP iteration. Two benchmark problems and a three-phase inductor are simulated by the proposed method to validate the formulation and demonstrate its performance.

Original language	English (US)
Pages (from-to)	166-180
Number of pages	15
Journal	International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume	29
Issue number	2
DOIs	https://doi.org/10.1002/jnm.2060
State	Published - Mar 1 2016

Keywords

FEA
FETI-DP
Nonlinear

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications
Electrical and Electronic Engineering

Online availability

10.1002/jnm.2060

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A 3D finite element analysis of large-scale nonlinear dynamic electromagnetic problems by harmonic balancing and domain decomposition. / Yao, Wang; Jin, Jian Ming ; Krein, Philip T.
In: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 29, No. 2, 01.03.2016, p. 166-180.

Research output: Contribution to journal › Article › peer-review

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abstract = "The dual-primal finite element tearing and interconnecting (FETI-DP) method is applied together with the harmonic balance method and the fixed-point (FP) method to improve the efficiency of three-dimensional finite element analysis of large-scale nonlinear dynamic electromagnetic problems. The FETI-DP method decomposes the original problem into smaller subdomains problems. Combined with parallel computing techniques, the total computation time can be reduced significantly. To account for nonlinear B-H characteristics, the FP method is applied together with the polarization formulation. Because the FP method assumes a constant reluctivity, it decouples the systems of different harmonics. The FETI-DP method can then be applied to speed up the simulation of each harmonic in each FP iteration. Two benchmark problems and a three-phase inductor are simulated by the proposed method to validate the formulation and demonstrate its performance.",

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AB - The dual-primal finite element tearing and interconnecting (FETI-DP) method is applied together with the harmonic balance method and the fixed-point (FP) method to improve the efficiency of three-dimensional finite element analysis of large-scale nonlinear dynamic electromagnetic problems. The FETI-DP method decomposes the original problem into smaller subdomains problems. Combined with parallel computing techniques, the total computation time can be reduced significantly. To account for nonlinear B-H characteristics, the FP method is applied together with the polarization formulation. Because the FP method assumes a constant reluctivity, it decouples the systems of different harmonics. The FETI-DP method can then be applied to speed up the simulation of each harmonic in each FP iteration. Two benchmark problems and a three-phase inductor are simulated by the proposed method to validate the formulation and demonstrate its performance.

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A 3D finite element analysis of large-scale nonlinear dynamic electromagnetic problems by harmonic balancing and domain decomposition

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