Catastrophe theory applied to transient stability assessment of power systems

The application of catastrophe theory to the steady-state stability analysis of power systems has been reported previously. The paper details the use of catastrophe theory to assess the transient stability of power systems. It is shown that the stability region can be easily defined, using catastrophe theory, and is valid for changing load conditions and fault locations so that the stability of the system can be easily assessed. The method has been applied to a single cylindrical-rotor machine connected to an infinite bus. The results are applicable to the transient stability analysis of the system as well as the steady-state (dynamic) stability analysis of the system.