Numerical Simulation for Magnetostatic Problems Based on A-λ Mixed Finite Element Method

被引：0
|
作者：
Jiang P. [1 ]
Li J. [1 ]
Zhang Q. [2 ]
Luo L. [3 ]
Guan Z. [1 ]
机构：
[1] State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineeing Mechanics, Dalian University of Technology, Dalian
[2] INTESIM (Dalian) Co. Ltd, Dalian
[3] Anhui Electric Power Transmission and Transformation Engineering Company, Hefei
来源：
Diangong Jishu Xuebao/Transactions of China Electrotechnical Society | 2018年 / 33卷 / 05期
关键词：
Coulomb gauge; Lagrange multiplier method; Magnetostatics; Mixed finite element method; Uzawa method;
D O I：
10.19595/j.cnki.1000-6753.tces.162025
中图分类号：
学科分类号：
摘要：
This paper proposes to adopt mixed finite element method to eliminate spurious solution in simulating magnetostatic problems. By introducing a scalar Lagrange multiplier, Coulomb gauge is incorporated into magnetic vector potential formulation based on constrained variational principle, leading to A-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 strategy is 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 which can 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. © 2018, Electrical Technology Press Co. Ltd. All right reserved.
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页码：1167 / 1176
页数：9
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