Analysis of Nonlinear Circuits Using Impedance Concepts

An LRC series circuit containing a nonlinear inductor and a nonlinear capacitor is analyzed in terms of equivalent impedances which are functions of current; the range of validity is discussed. The circuit equations are also put into dimensionless form, and a set of curves is presented in terms of these variables. A method for extending the results to more general circuits by use of Thévenin's theorem is outlined. Experimental results are given and shown to be in fair agreement with theory.