Probability interval power flow calculation method for distribution network considering correlation of distributed wind power output
In order to simulate the impact of distributed wind power access on the uncertain power flow dis-tribution of distribution network more accurately,a probability interval power flow calculation method for distribution network considering correlation is proposed.The interval of distributed wind power output is di-vided into several sub-intervals and corresponding probabilities are assigned to the sub-intervals,and a fo-cal element model of distributed wind power output is constructed.Combining the affine arithmetic,the probability interval power flow model of distribution network based on the focal element model is trans-formed into an affine optimization model.The parallelogram model,convex polygon model,and ellipsoid model are used to describe the correlation of distributed wind power output,and the correlation model is trans-formed into the affine constraint conditions through coordinate transformation,which are embedded into the affine optimization model for simultaneous solution.The probability boundary of probability interval power flow solution for distribution network is obtained according to the synthesis rules of evidence theory.The simulative results of two distribution network examples show that the established model can describe the uncertainty of power flow solution through maximum and minimum probabilities,and the ellipsoidal model is more accurate in modeling correlation than the other two methods.
distribution networkprobability interval power flowcorrelationaffine optimization modelevi-dence theory