Modified nonlinear algorithm for solving time stepping finite element system equations

Hui Juan Liu, Jun Wang, Yue Hao, Weinong Fu

Research output: Journal article publicationJournal articleAcademic researchpeer-review


In order to reduce numerical error of nonlinear iterations and noisy spikes of the derivative quantities the backward Euler's method was used to solve the time stepping finite element system equations, and a modified algorithm which can reduce the numerical error of the discrete variables and the noisy spikes of the derivative quantities was presented. According to the deformed matrix format of the time stepping finite element system equations of the transient process for electromagnetic devices, the new coefficient matrix of the system equations and the recurrence formulation of the nonlinear iterations were derived, and the calculation formula of the nonlinear iteration error was also deduced. The proposed method is applied to simulate an induction motor. Computed results of the back emf and eddy-current loss obtained by the traditional method and the proposed method are compared and reported. All the results show that the new method can successfully remove the spikes in the calculated waveforms.
Original languageChinese (Simplified)
Pages (from-to)74-79
Number of pages6
JournalDianji yu Kongzhi Xuebao/Electric Machines and Control
Issue number9
Publication statusPublished - 1 Jan 2014


  • Field-circuit coupled
  • Nonlinear iterations
  • Numerical error
  • Time stepping finite element method
  • Transient electromagnetic field

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Energy Engineering and Power Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering

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