Maithem Hassen Kareem
This manuscript presents a new technique to derive an accurate Transient Stability Boundary which can be readily used in multiple applications related to ensuring dynamic security of a power system. The intended applications of the proposed boundary are: (a) using it as a constraint in a dynamic security constrained optimal power flow program, (b) fast transient security assessment and control, and (c) redispatch of generation for preventive control. The proposed method approximates the ideal transient Stability boundary with an accuracy specified by the user. As the transient stability boundary is not perfect, some stable operating points may be classified as unstable and some unstable operating points may be classified as stable. For the applications stated above, the misclassification of operating points must be minimized and any misclassified cases must be confined to marginal cases. Further, the estimated Transient Stability Boundary must be expressed in terms of the pre-contingency operating point. In this manuscript 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. Numerical example of sugar 7machine power systems shows a very good agreement with the time solution in the practical range of first swing stability analysis. The method presented in this manuscript fulfills all the requirements for on-line assessment of transient stability of power systems.