Power system steady state stability assessment using catastrophe theory

Catastrophe theory is a mathematical technique for the qualitative analysis of system equations, defining the jump phenomena and sudden changes caused by smooth alterations in the situation. This theory has been applied previously to the study of steady state stability of power systems. The paper presents a new algorithm to derive the appropriate catastrophe manifold to which the power system can be fitted. The algorithm is deduced in terms of relevant system parameters that can be helpful for online steady state stability assessment