Derivation and application of an analytical sensitivity of transient energy margin to generator power

The sensitivity of transient stability margin to generator output power plays an important role in transient stability preventive control. An analytical sensitivity of transient energy margin to generator power is derived. The structure preserving model of power systems with constant power active load and constant impedance reactive load is adopted. An analytical formula of the sensitivity of transient energy margin to generator power is derived. There are no other assumptions except the adopted power system model and the assumption that output powers of generators are constant during the fault. The sensitivity is easy to calculate and applicable to power system detailed models. The sensitivities can be used for transient stability preventive control. Simulation results verify the validity of sensitivity and its applicability in transient stability preventive control.