电力系统恢复过程中存在着大量的不确定因素,待恢复节点的实际负荷量与预期值往往存在偏差,现有的负荷恢复模型在解决负荷不确定问题时存在一定局限。为解决此问题,文中采用梯形模糊参数表示待恢复节点的负荷接入量,将确定性的约束条件改为模糊参数下的机会约束,综合考虑负荷恢复效益和负荷过载风险对负荷优选的影响,建立了网架重构后期的负荷恢复优化模型。在计算负荷权重时,引入模糊熵量化负荷的不确定性,将负荷重要度和不确定度纳入负荷评价指标。最后,采用模糊机会约束的清晰等价类将负荷恢复的不确定模型转化为确定性的0-1规划问题,并采用混合整数规划方法求解。仿真算例表明所提模型能够平衡恢复过程中的负荷恢复效益和负荷过载风险,得到的决策方案对负荷的模糊不确定性具有更好的适应性。
Owing to the various uncertain factors during power system restoration,there are always deviations between the actual recovered load amounts and the predicted values.In order to overcome the shortcomings of existing deterministic load restoration model,trapezoidal fuzzy parameters are used to express the injected recovered load amounts.And the deterministic safety constraints are substituted by the chance constraints based on fuzzy parameters.By taking into account the influences of load restoration benefit and overload risk on load optimization,a load restoration optimization model for the last stage of network reconfiguration is proposed.To calculate the load weights,the fuzzy entropy is introduced to quantify the load uncertainty,and the load importance and load uncertainty are used as load evaluation indices.Finally,clear equivalent forms are used to change the uncertain load restoration model into a deterministic 0-1programming problem which can be solved by the mixed integer programming method.Case studies show that the proposed model is able to balance the restoration benefit and the overload risk,and the decisions obtained are better adapted to load fuzzy uncertainty.