Application of nonlinear dynamics and chaos to ferroresonance in distribution systems

Ferroresonant overvoltages or undervoltages can occur in cable-fed power transformer installations when single phase switching or interrupting is practiced. This paper identifies the ferroresonant circuit as a nonlinear dynamical system. Analysis and classification methods are presented which provide new insight into the global behavior of ferroresonance. The concepts presented offer potential for progress in the areas of transformer model development and evaluation, analysis and prediction of ferroresonance, and distribution system design and operation. Measurements from a typical five-legged core transformer installation are used to illustrate the application of nonlinear dynamics and chaotic systems to the problem of ferroresonance