Abstract
Ferroresonance is characterised by the existence of multiple periodic and non periodic steady states. Depending upon the initial condition the response of a ferroresonant circuit may settle to any one of the following: fundamental, subharmonic, quasi-periodic or chaotic. This paper is concerned with the isolated subharmonic ferroresonant solutions. The initial conditions are obtained by a class of temporal methods and it is referred to here as ‘temporal bifurcation diagram’ approach. Starting with initial conditions provided by temporal bifurcation diagram, a continuation procedure predicts multiple subharmonic solutions. Analysis of isolated subharmonic solutions reveals that in general they form a closed loop. Further, odd symmetric subharmonic solutions give rise to pitchfork bifurcations. The paper also reports the effect of core loss nonlinearity and transformer saturation on the isolated subharmonic solutions. Copyright © 2010 John Wiley & Sons, Ltd.
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