Multistable Circuits Using Nonlinear Reactances

This paper presents some results in the asymmetric resonant circuit, which is constructed by applying a dc voltage and a sinusoidal voltage to a series resonant circuit containing a nonlinear capacitance. The circuit is analyzed using the Ritz-Galerkin method. Assuming that the first approximation for the charge takes on the form , the curves , , and , are obtained. It is shown that the asymmetric circuit is a tristable circuit with respect to these parameters, while the usual ferroresonant circuit is a bistable circuit. The influence of the dc voltage upon the circuit is studied in particular, and an interesting phenomenon, called "residual jump phenomenon," may occur in the circuit only when is changed and others fixed. Furthermore, the study shows how to construct a multistable circuit using nonlinear reactances. Combining some nonlinear reactances with suitable bias voltages, circuits having two, three, four or five stable solutions are obtained.