Transient Stability Constrained Probabilistic Optimal Power Flow in the Electricity Market Environment

In this paper, a novel transient stability constrained probabilistic optimal power flow (TSC-POPF) model is studied in the presence of uncertain wind power generation, in the restructured power systems. Various uncertain parameters such as load demand, wind power generation and the price of energy exchange with the neighbor system are treated as uncertainty sources in the proposed method. In order to handle the uncertainties, scenario based modeling is utilized in the stochastic optimization framework. Additionally, the transient stability issue is modeled using center of inertia criterion which properly reflects the transient stability requirements in the problem. To show the effectiveness of the proposed method, IEEE 39-bus test system is employed. Simulation results achieved by the proposed method are further compared with the POPF by time-domain simulations which are carried out in the DIgSILENT software. Numerical results show that including transient stability constraints in the POPF problem formulation, improves the transient stability of system without imposing significant additional costs. Besides, the critical clearing time which is an important index of transient stability is increased considerably when the proposed TSC-POPF model is performed.