A method for obtaining the state equations of electrical circuits based on network theorems : its analytical and practical implementations and verification by computer simulations 6

ABSTRACT : This paper presents an alternative method for obtaining the state equations of a dynamic but passive RLC network (resistive-inductive-capacitive-network) using DC analysis by deriving from it a resistive multiple - port network and then applying on the derived network the well-known network theorems, such as the superposition, thevenins and Norton's Theorems to compute network functions that correspond to certain two-port network parameters such as z-,y-,h- and g parameters. The network functions are then used together with parameters of the energy-storage elements to determine the coefficients of the required state equations. A significant advantage of this method is that it is readily amenable to practical implementations using DC test input signals and meter instruments. Calculations of the network functions can also be done using standard software packages such as PSpice, Circuit Maker, and Electronic Workbench. Once the state equations are determined, the solution or output can then be obtained either analytically or by computer simulations using Matlab. 56

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