Sensitivity calculation of homotopy method in partial pole assignment

WU Jing-ying， WANG Guan-nan
（School of Electrical Engineering， Zhejiang University， Hangzhou 310027， China）

Abstract： Aiming at the large power grid interconnected leads to the low frequency oscillation of power system，an method based on power system stabilizer（PSS） was proposed to improve the damping of the system. In order to solve the problem that at the newton method needs a starting point that is very close to final solution during the parameter configuration of power system stabilizer（PSS），the homotopy method on partial pole assignment was introduced. Especially，the eigen-sensitivity was analyzed carefully. The first-order eigenvalue sensitivity，second-order eigenvalue sensitivity and eigenvector sensitivity were calculated separately，and three algorithms of eigenvector sensitivity were compared. To verify the effectiveness of the algorithm，the classic 3-machine-9-bus system and the New England 10-machine-39-bus system were adopted for simulation. The results indicate that the parameter K，Ta and the poles are configured to the target location and the suggested method is proved to be feasible and effective. The NELSON method is proved to be universal and robust.
Key words： eigen-sensitivity； small signal stability； probability-one homotopy method； pole assignment； power system stabilizer（PSS）