Author(s)

Vasil G. Angelov, Marin Hristov

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The paper deals with a lossy transmission line terminated at both ends by non-linear RCL 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.

Lossy Transmission Line, RCL-Nonlinear Loads, Fixed Point, Periodic Solution

V. Angelov and M. Hristov, "Distortionless Lossy Transmission Lines Terminated by in Series Connected RCL-Loads," Circuits and Systems, Vol. 2 No. 4, 2011, pp. 297-310. doi: 10.4236/cs.2011.24042.