A Solution of Interval Power Flow Considering Correlation of Wind Power

Interval power flow (IPF) is an important tool for steady state analysis of wind power system. All the existing interval power flow calculation methods require that the input interval variables are independent of each other, so the interval correlation of wind power in wind farms cannot be reasonably taken into account. In response to this question, in this article, firstly, the correlation Angle is used to describe the interval correlation of wind power output, and constructed an interval power flow model considering wind power correlation. Then, affine transformation technique is used to realize the de-correlation of wind power output and convert the wind power output into independent interval variables. Finally, monte carlo method or optimal scenario algorithm is used to solve interval power flow, and the maximum and minimum values of the power flow state quantity which are the interval distribution are obtained. Simulating in the modified ieee-14 and 118 systems, and the results verified the effectiveness and feasibility of the proposed methods.