Circuit network analysis based on MATLAB

Abstract

This dissertation is based on MATLAB, which derives, analyzes, and verifies the relationship between S and T parameters for cascaded multi-port imbalanced networks. According to the requirements, this dissertation analyzes the properties of these two parameters by examining the relationship between the S matrix and T matrix of the balanced network. In an imbalanced network, fake nodes are added based on the number of input and output ports, so that it can be supplemented as a balanced network. In order to solve the problem of singular matrices, all zeros that affect the matrix operation results are replaced. After obtaining an accurate expression, numerical results are calculated. The verification results of MATLAB demonstrate the accuracy of this derivation method, which can obtain relatively accurate S and T matrix parameters whether it is in cases where the input is less than the output or in cases where the input is greater than the output. The focus of this dissertation is to solve the problem of non square matrix calculation of S and T matrices in imbalanced network analysis, as well as the huge error problem of using pseudo inverse matrices in singular matrix inversion. Through this derivation method, the analysis results of the network can be more accurate, greatly reducing errors. This dissertation also has significant implications for real-world industrial scenarios. Nowadays, radio frequency and microwave networks are widely used, and it is crucial to conduct more accurate network analysis. Therefore, it can greatly improve the efficiency of industrial production and life, and reduce costs.