Ferroresonance Occurrence Conditions in a Simple Nonlinear Circuit

This paper presents results of investigating of ferroresonance occurrence conditions in a simple RLC with a nonlinear inductance. The physical approach is used for this investigation. Ferroresonance is considered as a periodical process existing in the circuit. The real magnetizing curve of the inductance has been approximated by piecewise-linear function. Ferroresonance thus is a succession of transients with each of the inductance values, defined by approximation. The created model of ferroresonance phenomenon defines its main characteristics. Based on these characteristics, investigation resulted in analytical equations determining boundaries of ferroresonance occurrence area as a function of the circuit parameters.