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A two-dimensional static magnetic field parallel finite element acceleration method based on black-box transmission line model

A technology of transmission line model and static magnetic field, applied in design optimization/simulation, special data processing applications, etc., can solve problems such as long solution time and low efficiency, and achieve the effect of reducing iteration time

Active Publication Date: 2022-01-18
HARBIN INST OF TECH
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Problems solved by technology

[0004] The purpose of the present invention is to provide a finite element solution method of a two-dimensional nonlinear static magnetic field model based on a black-box transmission line model, which can solve and calculate the required problem in parallel, and can be used for complex finite element subnetting In the solution of the model, it includes triangular elements and quadrilateral elements, etc., so as to solve the problems of long solution time and low efficiency when Newton iterative method is used to solve finite element nonlinear problems

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  • A two-dimensional static magnetic field parallel finite element acceleration method based on black-box transmission line model
  • A two-dimensional static magnetic field parallel finite element acceleration method based on black-box transmission line model
  • A two-dimensional static magnetic field parallel finite element acceleration method based on black-box transmission line model

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specific Embodiment approach 1

[0053] Specific Embodiment 1: This embodiment provides a finite element solution method for a two-dimensional nonlinear static magnetic field model based on a black-box transmission line model. The method includes the following steps:

[0054] 1. Determine the variable to be solved and the solution domain. The variable to be solved is the magnetic potential A of a two-dimensional axisymmetric nonlinear static magnetic field. The two-dimensional axisymmetric nonlinear static magnetic field is generated by the current in the energized coil. Each component is a ferromagnetic material, and the solution domain is the area where the two-dimensional axisymmetric nonlinear static magnetic field is located.

[0055] 2. Establish a rz Cartesian coordinate system, where r is the horizontal axis and z is the vertical axis.

[0056] 3. List the governing equations and boundary condition formulas in the two-dimensional axisymmetric nonlinear static magnetic field and form a differential equat...

specific Embodiment approach 2

[0075] Embodiment 2: This embodiment provides a finite element solution method for a two-dimensional nonlinear static magnetic field model based on a black-box transmission line model. The specific implementation steps of the method are as follows:

[0076] 1. Determine the variable to be solved and the solution domain. The variable to be solved is the magnetic potential A of a two-dimensional axisymmetric nonlinear static magnetic field. The two-dimensional axisymmetric nonlinear static magnetic field is generated by the current in the energized coil. Each component is a ferromagnetic material, and the solution domain is the area where the two-dimensional axisymmetric nonlinear static magnetic field is located. In this embodiment, the calculation is performed for a certain type of contactor with axisymmetric structure. The appearance of the model is as follows Image 6 As shown, the cross-sectional view is shown in Figure 7 shown. Simplify it, and model it, simplifying the...

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Abstract

The invention discloses a finite element solution method for a two-dimensional nonlinear static magnetic field model based on a black-box transmission line model. The method includes the following steps: 1. Determine the variable to be solved and the solution domain; 2. Establish an rz rectangular coordinate system ; 3. List the governing equations and boundary conditions in the two-dimensional axisymmetric nonlinear static magnetic field and form a differential equation system; 4. Divide the solution domain; 5. Calculate the coefficient matrix of the finite element; 6. Establish, etc. 7. Insert a transmission line segment between the black-box circuit model and the linear circuit; 8. Iterate the transmission line method; 9. Repeat the iteration until the iteration result converges to a fixed error, and the solution ends. The present invention can solve and calculate the required problem in parallel, and can be used in solving complex finite element sub-network models, so as to solve the problems of long solution time and low efficiency brought about by the Newton iterative method for solving finite element nonlinear problems .

Description

technical field [0001] The invention belongs to the technical field of electromagnetic field numerical calculation, and relates to a finite element solution method for a two-dimensional nonlinear static magnetic field model, in particular to a method for converting a two-dimensional nonlinear static magnetic field finite element problem into an equivalent black-box circuit problem, And by means of the transmission line iterative method, the method of parallel accelerated solution to the finite element of the two-dimensional nonlinear static magnetic field is realized. Background technique [0002] The finite element method is the most widely used numerical calculation method in the industrial field, and is adopted by many commercial simulation software. However, with the increasing complexity of the solution model and the increasing number of sub-network units, the nonlinear finite element solution method based on the traditional Newton iterative method is facing the problem...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23
CPCG06F30/23
Inventor 杨文英彭飞郭久威邱子澜翟国富
Owner HARBIN INST OF TECH
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