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Distortionless Lossy Transmission Lines Terminated by in Series Connected <i>RCL</i>-Loads
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Circuits and Systems·Volume 02 (2011)·Pages 297–310·Published 17 October 2011·DOI10.4236/cs.2011.24042
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Abstract
The paper deals with a lossy transmission line terminated at both ends by non-linear <i>RCL</i> elements. The mixed problem for the hyperbolic system, describing the transmission line, to an initial value problem for a neutral equation is reduced. Sufficient conditions for the existence and uniqueness of periodic regimes are formulated. The proof is based on the finding out of suitable operator whose fixed point is a periodic solution of the neutral equation. The method has a good rate of convergence of the successive approximations even for high frequencies.
KeywordsLossy Transmission Line<i>RCL</i>-Nonlinear LoadsFixed PointPeriodic Solution
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