Selection of installing locations and feedback signals of FACTS-based stabilisers in multimachine power systems by reduced-order modal analysis

A reduced-order method of modal analysis, based on the extended Phillips-Heffron model, is proposed for the selection of installing locations and feedback signals of FACTS-based stabilisers in multimachine power systems. The method proposed is not only as accurate as the conventional method of modal analysis, but also guarantees that the order of all matrices involved in the reduced-order modal analysis is low, being not higher than the number of machines in the power system. Hence, the numerical difficulty of the eigensolution of high-dimensional matrices is successfully avoided and the computational effort is greatly reduced. The method is demonstrated on a sample three-machine power system for the selection of stabilising signal and installing location of a static VAr compensator (SVC).