Electromagnetic field simulation analysis method

Abstract

The invention discloses an electromagnetic field simulation analysis method which comprises the following steps: step 1, establishing a three-dimensional model for an object to be analyzed, and performing mesh generation to the three-dimensional model by adopting a edge element; step 2, adopting the lagrangian multiplier method to apply constraint conditions to the three-dimensional model; step 3, calculating the element matrix of the edge element and the constraint matrix of the lagrangian multiplier method, and integrating the element matrix; and step 4, solving the integrated overall matrix equation with constraint conditions, obtaining analysis results of an electromagnetic field and displaying the analysis results through a display. According to the electromagnetic field simulation analysis method provided by the invention, a new constraint equation is introduced into the analysis field, a scalar multiplier space meeting the inf-sub condition is introduced, and the lagrangian multiplier method is adopted to realize constraints and ensure the uniqueness of the solution. The adaptability, reliability, and the accuracy of the solution of the electromagnetic field simulation analysis method are simultaneously ensured. The electromagnetic field simulation analysis method is applicable to a node vector potential unit and an edge vector potential unit, and is applicable to multi-field trans-boundary coupling problems.

Description

technical field [0001] The invention belongs to the field of computer-aided engineering (CAE), and is an effective electromagnetic field simulation analysis method. Background technique [0002] The current electromagnetic field simulation analysis system is realized by using the node vector potential method, or the combination of edge element and Tree Gauge. [0003] The node vector potential method uses the vector potential of the finite element grid node as the system degree of freedom, and uses the Coulomb Gauge method to ensure the uniqueness of the solution. This method is widely used in the field of electromagnetic field analysis. The continuity of the vector potential in the three directions of x, y, and z is guaranteed at the cell interface, but the limitation is that in the case of the analysis of non-homogeneous materials with regional characteristics, it is only required physically along the The continuity of the tangent direction of the interface and the contin...

AI Technical Summary

Problems solved by technology

However, the more prominent problem of the edge element is the uniqueness of the solution, that is, there is a zero solution space in the overall matrix equation, and reasonable constraints need to be introduced to ensure the uniqueness of the solution.

[0005] In order to solve the problem of the uniqueness of edge element solutions, two methods have been proposed in the prior art: one is to use the coordination field for the current density and the CG iterative solver for the equation system. This method can obtain reasonable solutions in non-unique solution spaces. Electromagnetic potential field, but there are two serious problems: 1) The current density field needs to be re-solved, which increases the calculation amount and reduces the calculation accuracy

2) There is a convergence problem in the CG iteration method, especially for multi-domain problems or parallel technology using the domain segmentation method, interface coupling or Lagrangian multiplier space is required, and the convergence problem becomes more serious at this time. protrude

Another method is to use the Spanning Tree Gauge method, that is, to establish a Spanning Tree in the grid space to be analyzed, such as figure 1 As shown, the degree of freedom of the node electromagnetic potential on the Spanning Tree is constrained to ensure the uniqueness of the solution. The main disadvantages of this method are: 1) The construction of the Spanning Tree is not unique, although an unreasonable Tree can guarantee the uniqueness of the solution Uniqueness but will affect the accuracy of the electromagnetic potential, and it is difficult to construct the optimal Tree for complex problems; 2) For multi-domain coupling problems such as the processing of the motor rotation-slip interface, the technical difficulty of reasonable Tree construction across the coupling interface has not been resolved

Images