期刊
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
卷 45, 期 12, 页码 1942-1957出版社
WILEY
DOI: 10.1002/cta.2366
关键词
complex network; equivalent transform; nonlinear difference equation; Kirchhoff's laws; negative resistance
资金
- Natural Science Foundation of Jiangsu Province [BK20161278]
We consider a multipurpose n-step network with cross resistors that is a profound problem that has not been resolved before. This network contains a number of different types of resistor network model. This problem is resolved by three steps: First of all, we simplify a complex graphics into a simple equivalent model; next, we use Kirchhoff's laws to analyse the network and establish a nonlinear difference equation; and finally, we construct the method of equivalent transformation to obtain the general solution of the nonlinear difference equation. In this paper, we created a new concept of negative resistance for the needs of the equivalent conversion and obtain two general resistance formulae of a multipurpose ladder network of cross resistors. As applications, several interesting specific results are produced. In particular, an n-step impedance LC network is discussed. Our method and the results are suitable for the research of complex impedance network as well. Copyright (c) 2017 John Wiley & Sons, Ltd.
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