Transient stability constrained optimal power flow based on trajectory sensitivity for power dispatch of distributed synchronous generators

This paper is focused on the transient stability constrained optimal power flow (TSC-OPF) problem and its application for determining the optimal dispatch of active and reactive powers of distributed synchronous generators. In order to deal with uncertainties related to the actual active and reactive load values and the network topology configuration, this paper proposes a TSC- OPF formulation that incorporates a set of mathematical constraints based on the trajectory sensitivity analysis (TSA) that represents the impact of different load scenarios and network topologies on the transient stability of the system. The TSC-OPF is solved by an iterative algorithm based on the primal-dual interior point method and the concept of rotor angle first swing (FS) stability. The proposed TSC-OPF is applied for a distribution network constituted by nine buses and two distributed synchronous generators.