Multimodal operation of a ferroresonant circuit with quintic nonlinearity

The multimodal operation (jump phenomenon) of a ferroresonant circuit of practical interest is analyzed using West's method of frequency-damping boundaries with a fifth-order approximation for the saturation curve of the nonlinear inductor. For given circuit parameters, the applied voltage range over which ferroresonance can occur is determined, and it is shown that this method gives more precise information than the incremental describing function method on the possibility that a certain applied voltage will produce the jump phenomenon.