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The transient stability constrained optimal power flow (TSC-OPF) is a big challenge in the field of power systems. Due to the deregulation of electricity markets, power systems tend to operate closer to stability limits. Optimal power flow (OPF) is a powerful tool to weaken the conflict between economy and security, but the main obstacle faced is that, the complexity involved for OPF with transient stability constraints is several orders of magnitude higher than that of conventional OPF with merely static constraints.