Power systems transient stability assessment using catastrophe theory

The stability of integrated power systems has a major role, particularly in online system security and planning. Catastrophe theory as a qualitative mathematical tool has been used previously for studying both steady state stability and transient state stability of power systems. By applying catastrophe theory to the transient stability of a power system, the equivalent machine system has been derived. The author presents a technique for applying catastrophe theory with the aim of defining the stability regions for multimachine cylindrical rotor systems. This technique is performed in such a way that the individual machine energies are balanced. It is valid for any fault type or location and is effective for online transient stability assessment