Wind power optimal power flow based on linear cone programming
                                                                XUE Zhuo cheng, YANG Bing fang
          （Department of Electrical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China）

Abstract: Aiming at the optimization problem of optimal power flow containing wind power, the asynchronous motor steady state model, wind speed stochastic model and wind power optimal power flow model were studied. Meanwhile, the advantages and disadvantages of the optimal wind power optimization method were summarized. The second order cone programming method (SOCP) in convex optimization theory was put forward, and the second order cone relaxation (SOC) optimization theory was combined to establish a multidimensional nonlinear optimization model with economic optimization as its objective. IEEE 9 bus and IEEE 14 bus systems were adopted to simulate and calculate the change trend of generation cost under different wind speeds. The results indicate that the model can quantify the effects of different wind speeds on the cost of power generation; compared with the results of the chaos optimization algorithm and the linear programming method, the cone programming method is more economical to calculate the optimal wind power flow.

Key words: power system; wind farm; optimal power flow; twoorder cone programming