八字槽漏泄同轴电缆电容的有限差分法计算

摘要

用三维有限差分法对漏泄同轴电缆的电容进行了计算。文中首先由拉普拉斯方程导出封闭段和开槽段漏缆电位的差分方程，结合各分界面处的边界条件进行离散化，得到了电位的计算式，进而得到电容的计算式。讨论了该方法的计算精度对计算结果的影响，并与同规格漏缆实测值比较，验证了该方法的有效性。最后研究了漏缆缝隙角度对电容值的影响情况。%The capacitance of the Leaky Coaxial Cable （LCX） with eight-shaped slot is calculated by the Three-Dimensional Finite Difference Method. The differential equation of electrical potential in the Closed segment and Slotted segment of the LCX is derived from Laplace equation. The boundary conditions between interfaces and their discrete forms are given. The expressions for electrical potential and capacitance are obtained. The effect of the accuracy of this method on the calculation result is discussed. The result is compared with the measured value of LCX with the same specifications, which validates the effectiveness of this method. Finally, the influence of the slot angle on the capacitance of the LCX is analyzed.