电网络的回路岔集分析法
ANALYSIS OF THE ELECTRIC NETWORK BY THE BRANCH SET METHOD
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摘要: 本文定义了描述网络图回路与节点关联状况的矩阵D,定义了回路岔集和回路岔集矩阵。提出并证明了回路节点矩阵与节点矩阵的乘积等于回路岔集矩阵的定理。定义了回路岔集导纳矩阵,假设回路岔集电压矢量作为中间计算量,导出了回路岔集方程,并提出了对电网络的回路岔集分析法。Abstract: The matrix D describing the relations of the loops to the nodes in the graph, the branch set based on the independent loops, and their matrix Q are defined. The theorem in which the product of the loop-node matrix D multiplied by the incidence matri A is equal to the matrix Q is put forward and proved. The admittance matrix Ytc of the branch set is defined, and it is assumed that the vector voltage of the branch set,Vle is a calculative quantity. So the equation of the branch set is derived and the branch set is derived and the branch set method is put forward.
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W. K. Chen, Applied Graph Theory, Amsterdam, North Holand, 1967, pp. 36-76.[2]陈树柏等, 网络图论及其应用,科学出版社,1982年,第186-240页.[3]v楼世博等,图论及其应用,人民邮电出版社,1982年,第46-81页.[4]S. Seshu, M. B. Reed, Linear Graph and Electrical Networks, Reading, Mass., 1961, ch.4.[5]成震国等,电路基本理论习题解答,人民教育出版社,1981年,第164页. -
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