A Multi-objective Optimization Model for Active Power Steady-state Security Region Analysis Incorporating Wind Power

This paper presents a multi-objective optimization model based on DC power flow to maximize the active power steady-state security region whilst minimizing the total generation cost. The stochastic and fluctuant nature of wind power is incorporated into the model as well. Regarding the cost of wind power, the concepts involving opportunity costs of wind power shortage and surplus are introduced in accordance with a probabilistic analytical model describing the uncertainty of wind farm power output. A modified non-dominated sorting genetic algorithm II (NSGA-II) is applied to solve the proposed model with highly nonlinear and stochastic nature. Finally, case studies are carried out on the standard IEEE 30-bus test system as benchmark to verify the validity of the proposed model and method.