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Transient Stability Assessment of Multi-Machine Power System Using Swallowtail Catastrophe Theory

Maithem Hassen Kareem

Transient Stability Assessment of Multi-Machine Power System Using Swallowtail Catastrophe Theory

Now a day’s transient stability study constitute the major analytical approach to the study of power system electromechanical dynamic behavior. Transient stability study of a power system is required to determine whether the system will remain stable or not after major disturbances such as sudden load changes (induction motors starting), loss of generating units, transmission system faults or line switching. The degree of the system stability is an important factor in the planning of new facilities and interconnection. In this study, a method for online Transient Stability Assessment (TSA) of large scale power systems is proposed.The method namely catastrophe theory is used to determine the transient stability regions. Taylor series expansion is used to find the energy balance equation in terms of clearing time and system transient parameters. The energy function is then put in the form of swallowtail catastrophe manifold from which the bifurcation set is extracted. The bifurcation set represents the transient stability region in terms of the power system transient parameters bounded by the transient stability limits. The transient stability regions determined are valid for any changes in loading conditions and fault location.