規(guī)范化分段線性化電阻網(wǎng)絡(luò)多解的實用算法
A PRACTICAL ALGORITHM FOR MULTIPLE SOLUTIONS OF CANONICAL PIECEWISE-LINEAR RESISTIVE NETWORKS
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摘要: 本文采用虛區(qū)域的概念和解曲線的基本性質(zhì),提出了求規(guī)范化分段線性化電阻鋼絡(luò)多解的實用算法。它的特點是整個求解過程沒有重復(fù)無效的迭代步驟,不論網(wǎng)絡(luò)有多少個解,求出全部解的總迭代步驟數(shù)僅取決于定義域Rn由超平面分割而成的區(qū)域總數(shù)。它所依據(jù)的概念簡單,易編程序,在一般微機上能解多個非線性元件的網(wǎng)絡(luò),比較實用。Abstract: With the help of the concept of virtual regions and the character of solution curve, a practical algorithm is presented for finding the multiple solutions of DC canonical piecewise-linear resistive networks. The advantage of this algorithm is that there is no repeatedly noneffective iterative procedure throughout the complete operation. Regardless of how many solutions being in the network, the total number of iterative steps is only dependent on the number of the regions made up of the hyperplanes in the Rn.This algorithm is simaple in concept and easy in programing. It can be used to find all solutions of pieewise-linear resistive networks with a common microcomputer.
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S. M. Lee, K. S. Chao, IEEE Trans. on CAS, CAS-30(1983)2, 84-88.[2]M. .J. Chien, IEEE Trans. on CAS, CAS-26(1978)10, 817-827.[3]L. O. Chua, IEEE Trans. on CT, CT-18(1971)1, 73-85.[4]L. O. Chua, R. L. P. Ying, IEEE Trans. on CAS, CAS-30(1983)3, 125-141.[5]溫鄭銓,華東冶金學(xué)院學(xué)報,1989年,第1期,第69-79頁. -
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