A finite element solution method for transformer eddy current field based on sinc function

Abstract

The invention discloses a transformer vortex field finite element solving method based on a sinc function. According to the method, first, a model is established for a transformer, and then meshing isperformed on the established model according to a finite element method; the finite element method is adopted to calculate a stiffness matrix and a damping matrix of the model according to unit nodeinformation obtained through meshing; and a magnetic vector potential and a scalar potential are selected to serve as an unknown function of a vortex field mathematical model, a discretization formatis exported through a Galerkin finite element method, a discretization equation set is established, solutions of the discretization equation set are solved through a sinc interpolation method, electric field distribution and magnetic field distribution in a transformer solving domain can be obtained according to the solutions of the equation set, and therefore vortex distribution and loss of the transformer can be calculated. The method is simple in design, easy to implement and easy to popularize, provides more precise analysis for vortex field and loss calculation of large and ultra-large power transformers, provides a basis for transformer design and manufacturing and improves the security and stability of transformer operation.

Description

technical field [0001] The invention relates to a finite element solution method for a transformer eddy current field based on a sinc function. Background technique [0002] With the rapid development of modern electrical and electronic industries, the voltage level of high-voltage and large-capacity power transformers has reached 1000kV, and the capacity of a single unit has exceeded 1000MVA. The power transformer contains a large number of metal components, and the eddy current loss induced by the change of the leakage magnetic field is one of the important heat sources for the temperature rise of the transformer. Accurate calculation of the eddy current field distribution and the loss generated in the conductive material is essential for the optimal design of the transformer. and safe operation are essential. In order to obtain the operating characteristics of the product such as loss and electromagnetic force through electromagnetic field analysis, in addition to the ca...

AI Technical Summary

Problems solved by technology

The calculation time is very long, often have to adopt the strategy of oversimplification of the actual problem, otherwise the calculation cannot be completed within a reasonable calculation time

[0007] The existing commercial software for electromagnetic field analysis mostly uses single-step iterative algorithms such as backward Euler method and central difference method to solve discretized equations, which takes a long time for calculation, slow convergence, and the accuracy cannot meet the demand

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