[1] Zhu Faxi, Yu Haitao, Hu Minqiang,. Preconditioned BiCGSTAB algorithm and its applicationsto eddy current solutions [J]. Journal of Southeast University (English Edition), 2009, 25 (3): 362-366. [doi:10.3969/j.issn.1003-7985.2009.03.016]

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Preconditioned BiCGSTAB algorithm and its applicationsto eddy current solutions()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

25

Issue:

2009 3

Page:

362-366

Research Field:

Electrical Engineering

Publishing date:

2009-09-30

Info

Title:

Preconditioned BiCGSTAB algorithm and its applicationsto eddy current solutions

Author(s):

Zhu Faxi;  Yu Haitao;  Hu Minqiang

School of Electrical Engineering, Southeast University, Nanjing 210096, China

Keywords:

preconditioned bi-conjugate gradient stabilized(BiCGSTAB)algorithm;  incomplete LU decomposition;  orthogonal list;  finite element method(FEM);  eddy current

PACS:

TM154

DOI:

10.3969/j.issn.1003-7985.2009.03.016

Abstract:

A new favorable iterative algorithm named as PBiCGSTAB(preconditioned bi-conjugate gradient stabilized)algorithm is presented for solving large sparse complex systems.Based on the orthogonal list, the special technique of only storing non-zero elements is carried out.The incomplete LU factorization without fill-ins is adopted to reduce the condition number of the coefficient matrix.The BiCGSTAB algorithm is extended from the real system to the complex system and it is used to solve the preconditioned complex linear equations.The locked-rotor state of a single-sided linear induction machine is simulated by the software programmed with the finite element method and the PBiCGSTAB algorithm.Then the results are compared with those from the commercial software ANSYS, showing the validation of the proposed software.The iterative steps required for the proposed algorithm are reduced to about one-third, when compared to the BiCG method, therefore the algorithm is fast.

References:

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Memo

Memo:

Biographies: Zhu Faxi(1984—), male, graduate;Yu Haitao(corresponding author), male, doctor, professor, htyu@seu.edu.cn.
Citation: Zhu Faxi, Yu Haitao, Hu Minqiang.Preconditioned BiCGSTAB algorithm and its applications to eddy current solutions[J].Journal of Southeast University(English Edition), 2009, 25(3):362-366.

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