Sensitivity analysis of power system trajectories: recent results

The development of trajectory sensitivity analysis for power systems is presented in this paper. A hybrid system model which has a differential-algebraic-discrete structure is proposed. Crucial to the analysis is the development of jump conditions describing the behaviour of sensitivities at discrete events, such as switching and state resetting. A power system example which involves a mix of continuous and discrete behaviour is presented to illustrate various aspects of the theory. It is shown that trajectory sensitivities provide insights into system behaviour which cannot be obtained from traditional simulations