Sensitivity based structured singular value approach to stability robustness of power systems

This paper presents a framework for robust stability assessment in multimachine power systems using first and second order sensitivities of the elements of the system A-matrix with respect to variations of a specified uncertain parameter. Variations in the mechanical power of critical generators are modeled and then incorporated into a framework amenable for robust stability analysis. The proposed model is then incorporated into a previously developed Structured Singular Value (SSV) based framework in order to determine the stability of power systems for given variations in the operating conditions caused by the parameter uncertainty. Simulation results on the IEEE 50 generator system have shown that the proposed method significantly reduces computational complexity and at the same time preserves the accuracy in predicting stability robustness.