In this paper a security-cost relationship analysis from the perspective of Transient Stability Constraints Optimal Power Flow (TSCOPF) is presented. The main objective of this paper is to analyze the security-cost relationship under N-1 contingencies in the Electric Power System (EPS). The Center of Inertia (COI) concept of rotor angle generators is used to obtain a time-varying trajectory equivalent of each contingency. A severity index is proposed to evaluate the power system security. At the end of this paper, the generation cost related of each contingency is computed to identify the costly contingencies. The feasibility of the proposed analysis is demonstrated on the IEEE 30-bus test system.
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