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发表时间：2022-10-10

发表刊物：电工技术学报

卷号：33

期号：5

页面范围：1167-1176

ISSN号：1000-6753

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.

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