基于非线性整数规划的配网负荷转供优化建模

摘要

A load transfer optimization model is established in this paper based on the topological structure of distribution networks. The objective is to minimize the loss of load for a certain fault, which can be formulated as the sum of unbalanced power of all nodes. The nonlinear integer programming model is established to obtain the optimal solution, with the combination of the open/close state of all the switches in the distribution network, and thus the states of the switches behave as the optimization variables. The constraints of tree-structure topology, allowable voltage deviation as well as the maximum current-carrying capacity are all considered in the model. The model is solved by the general optimization calculation tool GAMS, which is greatly practical by avoiding series of complex mathematical processing such as node classification encoding, transfer judgment, frequent topological analysis, setting up searching rules,and so on. The results by GAMS were compared with the results by Genetic Algorithm. The feasibility of the model is verified by an example at the end of this paper.%以配电网络拓扑结构为基础，建立故障时负荷转供的优化模型，其目标是对于配电网内指定故障情况下全网停电损失最小，停电损失用节点的不平衡功率之和来表示。在考虑各连通子图树状拓扑约束、节点允许电压偏移约束及馈线载流量约束的情况下，以配电网内开关支路的开断组合为优化变量，构成约束问题的非线性整数规划，提出了基于非线性整数规划的配电网负荷转供优化计算模型，使用通用的优化计算工具GAMS求解优化模型，避免了进行节点分类编码、转供判断、频繁拓扑分析和建立搜索规则等复杂的操作，具有较强的实用性，并将GAMS求解结果与遗传算法求解结果进行对比。算例结果验证了该方法的可行性。