Power system stability response and control using small signal analysis

Small signal stability analysis involves the investigation of small perturbation impacts in the operating point of power systems on system stability. Small signal stability is typically related to the generator and load properties. The purpose of this investigation is to examine the effects of small disturbances on system stability and determine the best locations to place power system stabilizers in order to avoid instability due to these disturbances. This will be accomplished by evaluating the eigenvalues and eigenvectors of the linearized differential and algebraic equations of the system. These calculations facilitate determination of the so called participation factors, which will then be used to identify the relevant modes of the system that are pushing the system towards instability. Finally, best locations for power system stabilizers to minimize the effects of these dominant modes and to stabilize the system will be identified. IEEE 39 Bus test system will be used to illustrate the stability analysis as well as the effective stabilization of the system by proper placement of power system stabilizers for various power system contingencies.