Method and system for solving electric field of lightning rod based on unstructured grid

Abstract

The invention discloses a method and a system for solving an electric field of a lightning rod based on an unstructured grid. The method comprises the following steps: calculating an initial numerical solution of the electric field of the lightning rod by using a cellular method; using the lightning rod electric field initial numerical solution to obtain an electric field distribution function in a lightning rod electric field solution domain; correcting a constitutive matrix in the constitutive equation of the lightning rod electric field by using the electric field distribution function to obtain a global constitutive matrix; and updating a coefficient matrix of the lightning rod electric field by using the global constitutive matrix and the topological matrix of the lightning rod electric field, and recalculating the lightning rod electric field to obtain a numerical solution of the lightning rod electric field. According to the method, the calculation precision of an original method can be remarkably improved, grid subdivision is kept unchanged in the correction process, the scale of a coefficient matrix is not increased, the matrix bandwidth is not increased, and only the cellular method constitutive equation needs to be reconstructed and corrected, so that high-precision solution of the lightning rod electric field can be realized under the condition that the grid is not encrypted; and the calculation efficiency and precision are effectively considered.

Description

technical field [0001] The invention relates to the field of computational electromagnetics, in particular to a method and system for solving the electric field of a lightning rod based on an unstructured grid. Background technique [0002] Lightning rods are widely used in the lightning protection of buildings and electrical equipment. The basic principle is to form a distorted space electric field on the top of the lightning rod, thereby guiding the lightning to discharge to the lightning rod, and then lead the lightning into the earth through the grounding lead to protect the surrounding objects from lightning strikes. The calculation of the electric field distribution around the lightning rod is of great significance for lightning protection and lightning rod structure design. Therefore, how to efficiently and accurately calculate the electric field of the lightning rod is a realistic demand that needs to be solved. [0003] Since the French scholar Tonti proposed the ...

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Problems solved by technology

[0004] In order to overcome the shortcomings of the prior art in calculating the electric field of lightning rods, the present invention provides a method and system for solving the electric field of lightning rods based on unstructured grids. The subdivision remains unchanged, neither the scale of the coefficient matrix nor the bandwidth of the matrix is ​​increased, and only the constitutive equation of the cellular method needs to be reconstructed and corrected, so that the high-precision solution of the electric field of the lightning rod can be realized without refining the grid , effectively taking into account both computational efficiency and accuracy

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