CHAOS IN FERRORESONANT WOUND VOLTAGE TRANSFORMERS - EFFECT OF CORE LOSSES AND UNIVERSAL CIRCUIT BEHAVIOR

The damping effects of transformer core losses upon the ferroresonant behaviour of wound instrument transformers, fed from a sinusoidal supp ly through circuit breaker grading capacitance, are studied using nonl inear dynamical methods. The system is shown to exhibit three types of ferroresonance; fundamental frequency ferroresonance, subharmonic fer roresonance and chaotic ferroresonance. It is also shown that this fer roresonant circuit can be driven into chaotic behaviour through a sequ ence of period-doubling bifurcations. Values of Feigenbaum universal n umber delta are calculated and are shown to be in good agreement with those reported from various other disciplines.