配电网模糊潮流计算方法及其收敛性研究

针对配电系统中存在的大量不确定因素，提出一种改进的配电网模糊潮流支路前推回代法，充分考虑负荷的模糊性对潮流计算的影响，使算法能应用于复杂的实际配电系统。算法线性收敛，计算速度快，计算结果采用梯形模糊隶属函数来表达，能更准确的反映负荷模糊性对于各个节点电压和功率的影响。对算法收敛性进行分析和证明，给出算法的收敛判据并证明当满足收敛条件时必存在唯一平衡收敛点，同时给出收敛误差方程。在美国PG&E的69节点配电系统上的仿真结果表明，与确定性支路电流法和基于蒙特卡洛随机抽样的支路前推回代法相比，模糊支路前推回代法的计算结果能更准确地反映出更多的系统信息，验证了研究结论的正确性和实用性。

Fuzzy Flow Calculation in Power Distribution System and Its Convergence

An improved fuzzy branch current calculation method is put forward aiming at a great deal of uncertainty factors in distribution system. The fuzziness of load is considered sufficiently for use in complex actual distribution system. The algorithm is linearity convergence and with less time consumption. The calculation results are described with fuzzy membership functions, which can get more accurate information of voltage and power of each node. The convergence of algorithm is analyzed and proved, and convergence criterion is given. In conclusion that there is one and only one balance convergence point is proved and convergence error equation is given when convergence condition is satisfied. The simulation on American PG&E 69 nodes distribution system proves that compared with certain branch current method and Monte Carlo branch current method, calculation results of fuzzy branch current method can reflect more system information. And result shows effectiveness and usefulness of proposed approach.