Nonlinear dynamics and switching time bifurcations of a thyristor controlled reactor

The authors study a thyristor controlled reactor circuit used for static volt ampere reactive (VAR) control of electric power systems. The circuit exhibits switching times which jump or bifurcate. The nonlinear dynamics of the circuit are studied using a Poincare´ map and it is demonstrated that the Poincare´ map has discontinuities and is not invertible. These novel properties illustrate some of the basic features of dynamical systems theory for switching circuits