電網絡的回路岔集分析法
ANALYSIS OF THE ELECTRIC NETWORK BY THE BRANCH SET METHOD
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摘要: 本文定義了描述網絡圖回路與節(jié)點關聯狀況的矩陣D,定義了回路岔集和回路岔集矩陣。提出并證明了回路節(jié)點矩陣與節(jié)點矩陣的乘積等于回路岔集矩陣的定理。定義了回路岔集導納矩陣,假設回路岔集電壓矢量作為中間計算量,導出了回路岔集方程,并提出了對電網絡的回路岔集分析法。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]陳樹柏等, 網絡圖論及其應用,科學出版社,1982年,第186-240頁.[3]v樓世博等,圖論及其應用,人民郵電出版社,1982年,第46-81頁.[4]S. Seshu, M. B. Reed, Linear Graph and Electrical Networks, Reading, Mass., 1961, ch.4.[5]成震國等,電路基本理論習題解答,人民教育出版社,1981年,第164頁. -
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