中文摘要：

提出一种考虑风电场风速的区间相关性,含可调度负荷和风电的电力系统区间最优潮流（interval optimal power flow,IOPF）模型,并采用基于随机空间仿射变换的蒙特卡罗（Monte Carlo,MC）法加以求解。首先,将风速区间相关性用＂相关角＂的概念表达;然后,建立随机仿射空间坐标系,利用仿射变换将相关区间变量转化为仿射空间内独立区间变量;最后,由MC法获得IOPF待求量的区间分布。IEEE-118和300节点系统的计算结果表明,IOPF结果可定性和定量分析区间变量不确定性和相关性对电力系统最优潮流的影响,用以研究用户侧与系统侧、不确定性与确定性调度资源的协调配合潜力,为实现用户与电网的友好互动提供参考。同时所提的仿射变换MC法能较为精确地实现区间变量去相关化,具有广阔的应用前景。

英文摘要：

Considering the correlated interval distribution of wind speed,an interval optimal power flow（IOPF） model of power system with wind power and dispatchable load was proposed,and the model was solved by Monte Carlo（MC） based on random space affine transformation.The correlation between wind speed interval variables was expressed using the concept of ‘relative angle＇,and stochastic affine space coordinates was established,then the correlated interval variables was transformed into the independent interval variable under affine space.Finally,the MC method was applied to obtain the interval distribution of the objective and unknown variables in IOPF.The numerical results of IEEE-118 and 300 systems indicate that,the results of IOPF can be used to analyze the uncertainty and correlation of interval variables effect on the OPF qualitatively and quantitatively,and to study the potential coordination of the demand side and system side,uncertain and deterministic scheduling resources in power system,which also provides a reference for realizing friendly interaction between power consumers and power grid.And the proposed MC method based on random space affine transformation can realizes handling correlation between interval variables more exactly,has wide application prospect.