ANALYSIS OF ELECTRICAL CIRCUITS WITH MESH AND NODAL ANALYSIS

Network topology is a branch of electrical circuit theory concerned with equations and theorems required to completely describe an electrical system. When a circuit is described by their mesh or nodal analysis, a linear system equation will have to be solved either by hand or by numerical analysis, such as Ax = y, where y is a vector, A is a square matrix, and x is a vector. This chapter presents an overview of circuit analysis using MATLAB for solving numerically an electrical circuit and also PSIM to find their voltages and currents using a circuit simulation. In order to solve matrix equations, one need to specify whether a pre- or post multiplication has to be done, because matrices do not obey the commutative law. A general procedure for using a nodal analysis method to solve electric circuit problems supports a matrix system by applying Kirchhoff's current law (KCL) at the major nodes in an electric circuit.