基于<em>A-λ</em>混合单元法的静磁场数值求解

doi:10.19595/j.cnki.1000-6753.tces.162025

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Abstract This paper proposes to adopt mixed finite element method to eliminate spurious solution in simulatingmagnetostatic problems. By introducing a scalar Lagrange multiplier, Coulomb gauge is incorporated into magnetic vector potential formulation based on constrained variational principle, leading toA-λ mixed formulation. Furthermore, the gradient of the scalar Lagrange multiplier is identified as the incompatible component of exciting current source. By means of Newton-Raphson method, iterative strategyis established for material nonlinearity problems. Edge elements are employed to discretize magnetic vector potential, and nodal elements are employed to discretize Lagrange multiplier. By augmented Lagrange multiplier technique, the saddle point problem arising from mixed finite element discretization can be transferred to an equivalent problem whichcan be iteratively solved by Uzawa method. Compared with conventional nodal element and edge element, the mixed element can suppress potential spurious solutions, and obtain a more accurate solution.

Key words： Magnetostatics mixed finite element method Coulomb gauge Lagrange multiplier method Uzawa method

Received: 31 December 2016 Published: 14 March 2018

PACS:

TM153+.1

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	Jiang Peng
	Li Jing
	Zhang Qun
	Luo Linshan
	Guan Zhenqun

Cite this article:

Jiang Peng,Li Jing,Zhang Qun等. Numerical Simulation for Magnetostatic Problems Based on A-λMixed Finite Element Method[J]. Transactions of China Electrotechnical Society, 2018, 33(5): 1167-1176.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.162025 OR https://dgjsxb.ces-transaction.com/EN/Y2018/V33/I5/1167

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