Probability interval optimization for optimal power flow considering wind power integrated

This paper presents a probabilistic interval optimization (PIO) model for evaluating the problem of optimal power flow considering wind power integrated (OPFWP). In PIO model, the wind power is deemed as a probability interval variable to assess its profit and risk simultaneously. To be precise, the profit is manifested by the net decrease of generation cost between the same power system with and without wind power integrated, and the risk is assessed by the distribution probability of wind power. Then the optimization objective of OPFWP is formulated as the conditional expectation of profit. Numerical tests obtained based on a modified IEEE 30-bus system demonstrate the effectiveness of the PIO model for evaluating OPFWP.