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/content/aapt/journal/ajp/83/1/10.1119/1.4895005
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11. It should be noted that condition 1 is sufficient to produce an exact model of the network. Condition 2 is necessary to produce an exact and complete model. Without this condition, the effect of node 3 on nodes 1 and 2 would not be included. See Eqs. (2) for an example.
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13.See supplementary material at http://dx.doi.org/10.1119/1.4895005 (algorithm description and implementation in MATLAB).[Supplementary Material]
14.
14. Anant Agarwal and Jeffrey Lang, Foundations of Analog and Digital Electronic Circuits ( Morgan Kaufmann, San Francisco, 2005).
15.
15. The coefficient between the ith and jth nodes, Gij, is often called the mutual conductance between the two nodes.
16.
16.This is rather obvious from Eq. (10) and its generalization; however, to the best of the authors' knowledge, the most recent mention of this fact is from a textbook published in 1966, and reiteration seems appropriate. The textbook is Charles Close, The Analysis of Linear Circuits ( Harcourt, Brace & World, New York, 1966).
17.
17. The network approach can be used in alternating current circuits with nonlinear components as well. In such a case, the resulting equations will be approximations (see Sec. V B).
18.
18.Simulations were performed with 5spice software, which can be found at <http://www.5spice.com/>.
19.
19. Donald Johnson, “ Solution of linear algebraic equations by means of equivalent electrical circuits,” Masters thesis in Electrical Engineering ( University of Wisconsin–Madison, 1953).
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/content/aapt/journal/ajp/83/1/10.1119/1.4895005
2015-01-01
2016-09-24

Abstract

Kirchhoff's laws offer a general, straightforward approach to circuit analysis. Unfortunately, their application becomes impractical for all but the simplest of circuits. This work presents an alternative procedure, based on an approach developed to analyze complex networks, thus making it appropriate for use on large, complicated circuits. The procedure is unusual in that it is not an analytic method but is based on experiment. Yet, this approach produces the same circuit equations obtained by more traditional means.

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