“…Optimal power flow with transient stability constraints was proposed by (Tuglie, Dicorato, Scala, & Scarpellini, 2000;Chen, Tada, & Okamoto, 2001) where the differential equations are used to define the domain. The security constrained OPF method (Hur, Park, K, & Kim, 2003;Shaaban M. , Li, Yan, Ni, & Wu, 2003;Gao, Zhou, M, & Li, 2006), has also been used to solve the Steady-State Security Constrained (SSSC) ATC problem. However, the correct representation of security constraints (and even more so if post-contingency actions are to be taken into account) may cause a great increase of orders of magnitudes in problem size.…”