一般線性網(wǎng)絡(luò)的混合分析法
THE MIXED ANALYSIS METHOD OF GENERAL LINEAR NETWORKS
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摘要: 本文應(yīng)用網(wǎng)絡(luò)圖論提出了圈-離集混合基矩陣的概念、混合基中基爾霍夫定律的矩陣表示和一般線性網(wǎng)絡(luò)的混合基方程,進(jìn)而建立了一般線性網(wǎng)絡(luò)的圈電流-離集電壓混合分析法。這個(gè)方法把文獻(xiàn)[4]關(guān)于無源和無互感網(wǎng)絡(luò)的混合分析法推廣到包括有源和有互感網(wǎng)絡(luò)在內(nèi)的一般的線性時(shí)不變集總參數(shù)網(wǎng)絡(luò)的情況。
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關(guān)鍵詞:
Abstract: In this paper, by applying the network graph theory, the concept of cycle-seg mixed basis matrix, the matrix representation of Kirchhoff s law in the mixed basis and the mixed basis equations of general linear networks are presented. Then the cycle current-seg voltage mixed analysis method of general linear networks is established. By this way, the mixed analysis method for passive networks without mutual inductances in referenee [4] is extended to one for active networks with mutual inductances. -
W. K. Chen, Applied Graph Theory, North-Holland Publishing Company, Amsterdam, London,1971, p. 36-76.[4]王春華,圖論與網(wǎng)絡(luò)拓?fù)浞治?計(jì)算機(jī)輔助設(shè)計(jì),科學(xué)技術(shù)文獻(xiàn)出版社重慶分社,1979年,第1-15頁.[5]張惠廉、莊鎮(zhèn)泉,電子線路的計(jì)算機(jī)輔助設(shè)計(jì),上冊(cè),人民教育出版社,1979年,第86-121頁.[6]邱關(guān)源,網(wǎng)絡(luò)圖論簡介,人民教育出版社,1978.[7]Claude Berge, Graphs and Hypergraphs, North-Fholland Publishing Company, Amsterdam, London,1973, p. 3-17. -
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