Robust Optimization With Box Set for Maximum Installed Capacity of Wind Farm Connected to Grid

In allusion to the randomness of wind power generator sets,by use of robust optimization theory the uncertainty of wind speed is expressed by cassette uncertain sets,and taking wind speed as random variable,an optimization model for maximum installed capacity of wind farm under a certain security constraints is built.To solve the proposed model conveniently,the proposed model is simplified by optimized duality theory and the uncertain quantities in the constraints are turned into the form of certain quantities as well as the proposed model into linear programming model.Analysis on calculation results of IEEE 30-bus system shows that the position of grid-connected node,fluctuation region of wind speed and parameters of wind turbine greatly influence on maximum installed capacity of wind farm,and the proposed robust optimization based model and method to determine maximum installed capacity of wind farm is feasible,effective and efficient.