Non-heuristic selection criterion for transient stability-constrained optimal power flow analysis

A novel approach based on both single machine equivalent (SIME) and trajectory sensitivity methods is proposed to formulate a transient stability-constrained optimal power flow (TSC-OPF) in the Euclidian space, where only one single stability constraint is necessary in the optimization problem to represent all dynamic and transient stability constraints of the multi-machine system, resulting in a tractable approach to the preventive control of transient stability in realistic power systems. A unified framework of time domain analysis is proposed, where the transient stability, trajectory sensitivity and SIME analyses are all combined to assess the system´s stability and to compute the sensitivity coefficients of the proposed transient stability constraint. Based on these sensitivity coefficients, a non-heuristic selection criterion is proposed to perform the preventive control by rescheduling only a selected number of generators, which is the commonly accepted practice followed by the system´s operators. The validity and the effectiveness of the proposed method is numerically demonstrated in the Mexican 46-machine, 190-bus system.