A finite-element-based domain decomposition method for efficient simulation of nonlinear electromechanical problems

Wang Yao, Jianming Jin, Philip T Krein, Matthew P. Magill

Research output: Contribution to journalArticle

Abstract

The dual-primal finite-element tearing and interconnecting (FETI-DP) method is combined with the Newton-Raphson method to expand the capability and improve the efficiency of 3-D finite-element analysis (FEA) of nonlinear electromechanical problems. Despite its modeling capability and high degree of accuracy, FEA has high computational complexity, especially for nonlinear analysis. The FETI-DP method is a robust domain decomposition method, which has been enhanced and applied to solve electromechanical problems involving linear materials. In this paper, the FETI-DP method is extended with the Newton-Raphson method to address problems involving nonlinearity and saturation. Using parallel computing techniques, the total computation time is reduced significantly. Linear and nonlinear regions are separated using the FETI-DP method. This further improves simulation efficiency and flexibility. Cubic splines and relaxation techniques are adopted to ensure stable and fast convergence of the Newton-Raphson method. The performance of the proposed method is compared with infolytica's MagNet, a commercial 3-D FEA solver.

Original languageEnglish (US)
Article number6774426
Pages (from-to)309-319
Number of pages11
JournalIEEE Transactions on Energy Conversion
Volume29
Issue number2
DOIs
StatePublished - Jun 2014

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Domain decomposition methods
Newton-Raphson method
Finite element method
Nonlinear analysis
Parallel processing systems
Splines
Magnets
Computational complexity

Keywords

  • Domain decomposition
  • electric machines
  • finiteelement analysis (FEA)
  • nonlinear magnetic
  • parallel algorithms

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

Cite this

A finite-element-based domain decomposition method for efficient simulation of nonlinear electromechanical problems. / Yao, Wang; Jin, Jianming; Krein, Philip T; Magill, Matthew P.

In: IEEE Transactions on Energy Conversion, Vol. 29, No. 2, 6774426, 06.2014, p. 309-319.

Research output: Contribution to journalArticle

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