摘要
提出了一种运用符号分析的方法进行电力系统潮流计算的新思路,根据电网络的拓扑求解方法和图论理论,将复杂网络的拓扑分析方法引入电力系统,实现潮流计算的符号化。该算法直接将电力网络元件的参数进行符号表达,通过求解网络的k-树有效地生成电力网络节点电压方程中各节点电压的符号表达式,进而获得潮流解;并通过采用广义树法系统地生成复杂网络的树组,解决生成网络全部k-树时计算量和存储量随网络顶点数目的增加而过快增长的难点,有效地提高了算法的计算速度。与传统的潮流计算方法相比,该方法不存在计算的收敛性问题及其多解现象,算例分析验证了该算法的正确性。
A new thinking of using symbolic analysis method to calculate load flow of power system is proposed. According to the topological solution method and graph theory the topological analysis method of complex network is led into power system and the symbolization of load flow calculation is implemented. By this method the parameters of components in power network are directly expressed by symbols, and through the solution of the k-tree of the network the symbolic expressions of nodal voltages in node voltage equations of power network are effectively generated, then the solution of load flow is obtained. By means of using the method of generalized tree, the tree-group of complex network is generated to solve the difficulty that the calculation amount and memory space increase too fast along with the increasement of vertex numbers of the network while all of the k-trees of the network is being generated, and the calculation of the proposed algorithm is effectively speeded up. Compared with the traditional methods for load flow calculation, there are not problems of convergence and multiresolution in the proposed method and its correctness is validated by results of calculation examples.
出处
《电网技术》
EI
CSCD
北大核心
2005年第10期25-29,共5页
Power System Technology
关键词
电力系统:潮流计算
图论
符号分析
节点导纳
矩阵
k-树
Computational methods
Electric admittance
Electric loads
Electric network topology
Graph theory
Matrix algebra
Trees (mathematics)
