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A Regularized Finite Element Numerical Method for Computing the Static Magnetic Field

A numerical method and static magnetic field technology, applied in design optimization/simulation, special data processing applications, etc., to achieve good accuracy and efficiency, avoid false solutions, and good robustness

Active Publication Date: 2020-04-24
INTESIM DALIAN
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  • Abstract
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  • Claims
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Problems solved by technology

Among them, the divergence constraints are imposed on the original problem by introducing Lagrange multipliers; edge element basis function interpolation is used for magnetic vector potential or electric field, and nodal element basis function interpolation is used for scalar Lagrange multipliers; however, the hybrid element method The equation obtained by discretization is often an ill-conditioned saddle point problem

Method used

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  • A Regularized Finite Element Numerical Method for Computing the Static Magnetic Field
  • A Regularized Finite Element Numerical Method for Computing the Static Magnetic Field
  • A Regularized Finite Element Numerical Method for Computing the Static Magnetic Field

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[0064] In order to make the objectives, technical solutions and advantages of the present invention clearer, the technical solutions of the present invention will be described clearly and completely in conjunction with the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are part of the implementation of the present invention. Examples, not all examples. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative work shall fall within the protection scope of the present invention.

[0065] The present invention proposes a method to solve the static magnetic field problem by using a regularization method, such as Image 6 , Which includes the following steps:

[0066] Step 1. Establish the magnetic vector potential equation corresponding to the static magnetic field problem to be analyzed, that is, use the magnetic vector potential equation to describ...

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Abstract

The invention discloses a method for calculating regularized finite element numerical values of static magnetic fields. The method comprises the following steps of: 1, establishing a magnetic vector potential equation corresponding to a to-be-analyzed static magnetic field problem; 2, establishing a corresponding constraint variational formula; 3, carrying out numerical discretization on the constraint variational formula by adoption of a finite element method so as to obtain a corresponding discrete saddle point system; 4, converting the corresponding saddle point system into a constraint-free minimum problem, reducing a Lagrange multiplier degree of freedom of the corresponding saddle point system to obtain a symmetric positive definite system, and solving the corresponding symmetric positive definite system by adoption of a preprocessed conjugate gradient method; and 5, post-processing the obtained calculation result. The method has relatively good precision and calculation efficiency.

Description

Technical field [0001] The present invention relates to the field of electronic and electrical field and numerical simulation method field of computer-aided engineering. Specifically, it is a regularized finite element numerical method for calculating static magnetic field. The technology can be used to solve the problem of static magnetic field calculation in electronic and electrical equipment. Background technique [0002] The static magnetic field numerical simulation technology has important industrial applications in the electrical and electronic fields. As a commonly used method for numerical calculation of static magnetic field, because it effectively overcomes the problem of poor accuracy of node elements at the material interface, see the literature [Jin JM.The finite element method in electromagnetics[M].John Wiley&Sons,2014], Therefore, the edge element method of magnetic vector potential is widely used. One of the characteristics of this element is that the unknown d...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23
CPCG06F30/23
Inventor 江鹏张群
Owner INTESIM DALIAN
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