Type of Document	Master's Thesis
Author	Zorn, Nicholas Vaughn
Author's Email Address	nvzst@pitt.edu
URN	etd-04062003-162311
Title	A Study of Current-Dependent Resistors in Nonlinear Circuits
Degree	Master of Science in Electrical Engineering
Program	Electrical Engineering
School	School of Engineering
Advisory Committee	Advisor Name Title Dr. Marwan A. Simaan Committee Chair Dr. J. Robert Boston Committee Member Dr. Luis F. Chaparro Committee Member
Keywords	circuit theory modeling nanofluidics
Date of Defense	2003-04-11
Availability	unrestricted
Abstract Nonlinear electrical circuits can be used to model fluid flow in pipe networks when the resistance of any element in the network is assumed to be dependent on the flow rate through that element. This relationship is often assumed in classical models of pressure drops at orifices and through valves. More recently, it has also been used to model blood flow through vessels, and may potentially have applications in nano-fluid systems. Motivated by these applications, in this thesis we investigate circuits where the resistors have linear and affine (linear plus offset) dependence on current. Rules for their reduction in series and parallel are derived for the general case as well as for special cases of their linear coefficients and offset terms. Other adapted circuit analysis and manipulation techniques are also discussed, including mesh current analysis and delta-wye transformation, and avenues for further investigation of this topic are illuminated. The methods developed in this thesis may have potential applications in simplifying the analysis of complex nonlinear flow networks in cardiovascular systems, especially those at the nano-scale.
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