NDLI: Dispersionless charge transfer on lumped-element transmission lines synthesized via resonant frequency assignment

Content Provider	IEEE Xplore Digital Library
Author	Buchenauer, C.J.
Copyright Year	2015
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of New Mexico, Albuquerque, NM, USA (Buchenauer, C.J.)
Abstract	The uniform lumped element transmission line that exhibits translational symmetry is an inherently dispersive network. The dispersion properties can be transformed by imposing a harmonic symmetry that requires all of the resonant frequencies of the network to be integral multiples of some fundamental frequency. The resulting line will have spatially varying component values, thus breaking the network's translational symmetry. If mirror symmetry is imposed on the line such that right and left sides of the line have identical components, the natural resonant modes of the line will then be either spatially even or spatially odd. The even harmonic frequencies may be assigned to the spatially even modes, and the odd harmonic frequencies may be assigned to the spatially odd modes by methods similar to those used for Marx networks [1], [2], [3], [4]. The resulting network can then be shown to have several important properties: (a) All voltages and currents will be periodic in time with the fundamental period. (b) Starting with zero initial currents and finite charge voltages, the mirror image of the initial conditions on each side of the line will appear on the opposite sides at odd multiples of the half period. (c) A similar result can be stated when starting with zero initial voltages and finite initial currents. While many solutions can be found, the smoothly varying regular solution is of special interest. It possesses the property of having relatively spatially uniform impedance with a cutoff frequency that decreases away from the line center. Thus, higher frequency waves, which travel more slowly, are reflected further from the ends of the line, such that any narrow-band wave packet is reflected periodically without dispersing. This network may be used for efficiently transporting capacitive stored energy on ordinary transmission lines. The lumped-element line is cut at the symmetry plane, and an arbitrary length of conventional transmission line of appropriate impedance is inserted in the gap. Discharging the end capacitor into the resulting network generates a Gaussian-like pulse on the transmission line that is later converted to the identical capacitive charge on the network at the other end of the line.
Starting Page	1
Ending Page	6
File Size	1073531
Page Count	6
File Format	PDF
e-ISBN	9781479984039
DOI	10.1109/PPC.2015.7296903
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-05-31
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Resonant frequency Capacitors Power transmission lines Impedance Mirrors Energy exchange Generators
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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