Solution techniques for transient stability constrained optimal power flow – Part I

This series of studies present the state-of-the-art for the solution of the transient stability constrained optimal power flow problem (TSC-OPF). Three different classes of solution techniques: dynamic optimisation-based, SIME method, and computational intelligence, are discussed in detail. Moreover, discussed are issues to consider while solving such problems, various application areas, and future directions in this research area. A comprehensive resource of the available literature, publicly available test systems, and relevant numerical libraries is also provided. This study presents the TSC-OPF formulation and discusses various dynamic optimisation-based approaches. Two optimisation techniques, full-space and reduced-space method, are presented for solving the resulting non-linear optimisation problem