Analytical computation of driving point impedance in mutually coupled inhomogeneous ladder networks

Abstract

SummaryElectrical systems are traditionally modeled as homogeneous ladder networks, disregarding the inherent inhomogeneity found in real‐world systems. This can result in inaccuracies in analysis and design. The driving point impedance (DPI) is a crucial parameter for studying electrical systems, as it can be conveniently measured at the terminals. However, existing methods for calculating DPI have limitations, including increased complexity, high computational demands, convergence issues, and challenges in capturing high‐frequency effects. A new approach for computing DPI of inhomogeneous ladder networks, reducible to series and shunt impedance circuit form, is introduced in this research. The method is based on state‐space formulations and projective matrix analysis. It offers improved accuracy as compared with existing methods and can be applied to a wide range of networks. Simulation results from a six‐section mutually coupled inhomogeneous ladder network validate the effectiveness of the proposed approach. This research addresses the disregarded factors of inhomogeneity and mutual coupling within traditional approaches, presenting a significant advancement in the analysis and design of electrical systems.