Trajectory sensitivity analysis based on second-order sensitivity for hydroelectric systems dynamic simulation

Trajectory sensitivities complement time domain simulation in the analysis of large disturbance dynamic behavior of the simulation model of power system. Because of hydroelectric systems is a nonlinear non-smooth dynamics of complex systems, sometimes it is very difficult to meet the need by using the linear approximation for the dynamic simulation analysis, it also needs to use Taylor series of the second-order. This paper presents the applications of second-order sensitivity as an extension to the established linear sensitivity approach on the hydro-power plant simulation. Second-order sensitivity and first sensitivity are used in the time-domain simulation analysis for the effect of controllers on hydroelectric systems dynamics. A comparison between the two approaches in terms of accuracy is carried out, and the results show that the proposed method improves the accuracy of trajectory by roughly one order sensitivity.