Equivalent Linear Circuit for Thevenin and Norton Representation Using Superposition Theorem

Abstract

Using superposition theorem and knowing the Thevenin representation consisting of resistor, independent DC source of a network an equivalent DC network is obtained using SPICE software with linear circuit elements and independent sources and is verified. Also, similarly from the Norton representation, equivalent circuit is obtained. A procedure with Pspice methods to obtain unknown circuit elements using reciprocity theorem is described. Possible examples for (a) only resistive networks and (b) passive circuits with resistors, capacitors, and inductors, using PSPICE circuit analysis program are described. The unknown elements can be obtained using Z=V/I, where Z is the impedance, V is the voltage across Z, and I is the current through Z. Using analog behavioral models of PSPICE, a method is proposed in which the real and imaginary values of various impedance functions of known linear circuits are converted to Resistor, Inductor, Capacitor combinations in the desired frequency range for embedded circuit electronic network design. The two dependent sources of behavioral models are the Laplacian, and complex transfer function equivalent circuits. The models could be incorporated into two different linear circuits and the results can be verified by Spice linear models for capacitors, resistors, and inductors. A few branches of two circuits using spice linear elements can be converted into R+jX forms using Analogue behavioral modelling of PSpice in the desired frequency range.