SUBHARMONIC FERRORESONANCE IN AN LCR CIRCUIT WITH HYSTERESIS

We use the Preisach model of magnetic hysteresis to model the inductan ce in a series LCR circuit. By introducing a hysteresis parameter into the Preisach functions used, we are able to continuously vary the wid th of the hysteresis loop and thereby investigate the effects of magne tic hysteresis on the circuit's behavior. In particular, it is shown t hat the stability region of a period-3 subharmonic ferroresonant solut ion can increase significantly as the hysteresis losses are reduced, T he bifurcations leading to the appearance and disappearance of this su bharmonic solution are examined, Also, strong numerical evidence is pr ovided for the unsuitability of single-valued M - H curves in the anal ysis of ferroresonant phenomena.