Prediction of power system stability by catastrophe theory

The use of catastrophe theory to model multimachine power systems to predict transient stability is presented. The equations for a multimachine power system are manipulated into the form of a swallowtail catastrophe and applied to the transient stability analysis of a simple power system. It is shown that good results on stability assessment can be quickly obtained by consideration of the operating conditions of the system before, during and after a fault. In online monitoring applications, these values could be metered and used as data input for stability prediction. The extension of the method to the voltage stability analysis of a power system discussed