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

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

Active Publication Date: 2019-03-01
HARBIN INST OF TECH
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  • Abstract
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  • Claims
  • Application Information

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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 one: this embodiment provides a finite element solution method of a two-dimensional nonlinear static magnetic field model based on a black-box transmission line model, and 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 expressions in the two-dimensional axisymmetric nonlinear static magnetic field and form a different...

specific Embodiment approach 2

[0075] Specific embodiment two: 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, and 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 axisymmetric structure contactor. 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, the s...

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Abstract

The invention discloses a two-dimensional static magnetic field parallel finite element acceleration method based on black box transmission line model. The method includes steps of 1, determining a to-be-solved variant and a solution domain; 2, establishing a rz rectangular coordinate system; 3, the governing equations and boundary conditions in the two-dimensional axisymmetric nonlinear static magnetic field are listed and a differential equation group is formed. 4, dividing that solution domain into networks; 5, calculating the coefficient matrix of the finite element; 6, the equivalent black box circuit model is established. 7, inserting a transmission line segment between that black box circuit model and the linear circuit; 8, carrying out transmission line method iteration; 9, repeating that iteration until the iteration result converges to a fixed error and the solution is end. The invention can solve the problem in parallel, and can be used for solving the complex finite elementnetwork model, thereby solving the problem of long solving time and low efficiency when Newton iterative method is used for solving the finite element non-linear problem.

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 Applications(China)
IPC IPC(8): G06F17/50
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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