Application of Duhamel integrals in power system transient stability analysis

WU Tong-xing， LV Xiao-xiang， WANG Jian-quan
（College of Electrical Engineering， Zhejiang University， Hangzhou 310027， China）

Abstract： The algorithm based on the duhamel integrals has been widely applied to solve non-linear system. Aiming at overcoming the weaknesses of the implicit trapezoidal integration，the mathematical model in non-linear system was used for transient stability analysis in power system. The homogeneous team of the power system characteristic matrix was diagonalized to simplify matrix exponent function and improve the efficiency of the computation burden. Besides，the nonhomogeneous team was linearized. The simulations of power system analysis software package（PSASP） of the proposed approach and the implicit trapezoidal integration were compared in order to explain the influence of integration step. The results indicate that the proposed time-integration method is better in the calculation precision and constancy than the traditional integration method with the big integration step. The method could be prepared for the emergency and preventive control of power system for its accuracy and stability.
Key words： Duhamel integrals； power system； transient stability； numerical calculation； time-domain simulation； power system analysis software package（PSASP）