多导体传输线电感矩阵的直接算法

Direct Computation of Multiconductor Transmission Line Inductance Matrix

该文针对多导体电感矩阵通常需借助复杂间接方法求解的情况,提出一种多导体传输线电感矩阵的直接算法。利用双细线回路方程构建矩阵模型直接求解电感矩阵,降低了分析复杂度;并采用矩阵运算,在计算电感矩阵的同时求解多导体电流分布,解决了传统间接方法无法进行电流分析的难题。分析过程中采用非磁准近似条件和细线划分,可适用于宽频段、任意导体间距,任意横截结构情况。仿真结果表明,该算法在电感矩阵和电流分布的计算上均有较高精度。

MTL （Multiconductor Transmission Line） inductance matrix is commonly computed through complex and tiresome indirect transform method, so a novel method to directly compute the MTL inductance matrix is proposed. Double filaments circuit is utilized to construct a matrix model, and then inductance matrix is directly solved from the model by the novel method, so the complexity of the analysis is greatly reduced. Additionally, matrix transformation is adopted; therefore, currents distribution can also be supplied when inductance matrix calculation is finished, which is impossible for classical indirect method. The novel method imports nonmagnetic quasi-static hypothesis and filaments division, then it can be applied to the transmission line structure with arbitrary shaped cross-section, and arbitrary separate distance in wide frequency band. Simulations show that this method has a good precision in currents distribution and inductance matrix calculation.