Power system static voltage stability analysis considering all active and reactive power controls - Singular value approach

This paper presents a novel approach for analyzing power system static voltage stability considering all possible active and reactive power controls based on the multi-input multi-output (MIMO) transfer function. By applying the voltage magnitudes of critical buses as output and feasible controls as input signals, the MIMO transfer function of multi-machine power system can be developed. The analyses are carried out by means of the singular value decomposition (SVD). The proposed approach takes the advantages of the classical static voltage stability analysis and the modern multi-variable feedback control theory. Not only the influences of reactive power controls on the static voltage stability, which can be achieved by the classic method, the influence of active power modulation can also be analyzed. The output singular vectors provide an overview of the most critical buses that affected by the static voltage stability. The magnitudes of the input singular vectors show that which input signal has the largest effect on the most critical bus. The proposed approach is simple and easy to be implemented into large power systems.