電網(wǎng)絡(luò)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(wǎng)絡(luò)圖回路與節(jié)點(diǎn)關(guān)聯(lián)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(diǎn)矩陣與節(jié)點(diǎn)矩陣的乘積等于回路岔集矩陣的定理。定義了回路岔集導(dǎo)納矩陣,假設(shè)回路岔集電壓矢量作為中間計算量,導(dǎo)出了回路岔集方程,并提出了對電網(wǎng)絡(luò)的回路岔集分析法。
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關(guān)鍵詞:
- 電網(wǎng)絡(luò); 矩陣; 回路岔集; 回路節(jié)點(diǎn)矩陣
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. -
W. K. Chen, Applied Graph Theory, Amsterdam, North Holand, 1967, pp. 36-76.[2]陳樹柏等, 網(wǎng)絡(luò)圖論及其應(yīng)用,科學(xué)出版社,1982年,第186-240頁.[3]v樓世博等,圖論及其應(yīng)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(xí)題解答,人民教育出版社,1981年,第164頁. -
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