Abstract
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 paper presents a technique for applying catastrophe theory with the aim of defining the stability regions for multimachine cylindrical rotor type 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.
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