线电荷与带有低脊的接地导体薄圆筒所形成的电场及其数值模拟(上)

Electric Field of a Line Charge and a Thin Grounding Cylinder with Low Ridge and Its Numerical Simulation

通过保角变换研究线电荷带与有低脊接地导体薄圆筒所形成的电场,给出其电势分布函数,并利用数学软件Matlab对场分布进行数值模拟,绘制出电场线和等势线(面)图,实现了电场分布的可视化。为边界复杂的静电场边值问题的求解提供了一种思路与方法,可供电线电缆中相关问题的研究借鉴和参考。

By conformal mapping method,the electric field of a line charge and a thin cylinder with low ridge grounding conductor is studied,and its electric potential distribution function is given. Furthermore,its electric field distribution is numerically simulated by using mathematical software MATLAB,and the electric field lines and equipotential lines (surfaces) are plotted,the visualization of electric field distribution is realized. This paper provides an idea and method for solving the boundary value problem of electrostatic field with complex boundary,which can be used for reference in the research of related problems in wires and cables.