Multimachine eigenvalue sensitivities of power system parameters

Many publications have discussed the design/tuning of controllers (e.g. PSS) to increase system damping, but the effect of general system parameters appears to be ignored. This paper enables these effects to be accurately assessed by the first and second order eigenvalue sensitivities with respect to any arbitrary system operating parameter (e.g. nodal injection, PV-voltage) or power network parameter (line impedance or transformer tap etc). Based on a highly versatile multimachine modeling technique that any practical system components (such as generators, SVC, series compensator etc) can be incorporated, the system matrix A can be expressed as a function of each system parameter of a multimachine system. The sensitivity approach is applied on an 8-machine system to discuss the system parameter effects and to take account of the range of operating condition in terms of multi-load levels by a probabilistic approach