scholarly journals On Heaviside's contributions to transmission line theory: waves, diffusion and energy flux

2018 ◽  
Vol 376 (2134) ◽  
pp. 20170457
Author(s):  
Christopher Donaghy-Spargo
Keyword(s):  
Transmission Line ◽  
Transmission Lines ◽  
Physical Nature ◽  
Electromagnetic Theory ◽  
Electrical Transmission ◽  
Important Work ◽  
Transmission Line Theory ◽  
Energy Current ◽  
Electrical Transmission Line ◽  
Line Theory

This paper surveys some selected contributions of Oliver Heaviside FRS (1850–1925) to classical electromagnetic theory and electrical engineering science. In particular, the paper focuses on his contributions to the development of electrical transmission line theory and his deep insights into the ‘physical’ nature of the phenomena relating to nineteenth century telegraphic problems. Following a brief historical introduction to the life of Heaviside to put his achievements in context, we explore his contributions to the reformulation of Maxwell's equations and the understanding of electromagnetic wave propagation along the external region of transmission lines. This leads naturally to his researches regarding the electromagnetic diffusion process inside the line conductors and his subsequent realization that the circuital parameters, usually assumed constant, are not always so. Finally, taking both these internal and external viewpoints of the conductors, his important work regarding the flow of energy described by his ‘energy current’ concept is presented. This article is part of the theme issue ‘Celebrating 125 years of Oliver Heaviside's ‘Electromagnetic Theory’’.

scholarly journals Potentials of the Application of the Electrical Transmission Line Theory for Thermal Investigations on Cables

2021 ◽  
Vol 19 ◽  
pp. 31-40
Author(s):  
Anika Henke ◽  
Stephan Frei
Keyword(s):  
Transmission Line ◽  
Thermal Effects ◽  
Electrical Transmission ◽  
Transmission Line Theory ◽  
Electrical Transmission Line ◽  
Thermal Investigations ◽  
Measurement Results ◽  
The Laplace Transform ◽  
Line Theory ◽  
Similarities And Differences

Abstract. In this contribution, similarities and differences between electrical and thermal effects on cables are investigated. In the electrical transmission line theory, a wide variety of methods is known to describe the voltage and current along cables. The potential for the adaption of some of those methods to thermal problems is discussed. Exemplarily, for an unshielded single cable, an analytical solution based on the Laplace transform and an approach based on cascaded equivalent circuits are compared with a numerical reference solution and measurement results.

scholarly journals Resonant Behaviour of an Acoustical Transmission Line

1962 ◽  
Vol 15 (4) ◽  
pp. 513 ◽  
Author(s):  
HF Pollard
Keyword(s):  
Transmission Line ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Infinite Cylinder ◽  
Electrical Transmission ◽  
Transmission Line Theory ◽  
Electrical Transmission Line ◽  
Continuous Waves ◽  
Line Theory ◽  
Electromagnetic Waveguide

In the passage of elastic waves through a cylindrical rod, phenomena are exhibited that closely resemble those occurring in an electromagnetic waveguide. Following a discussion of the classical Pochhammer-Chree theory for an infinite cylinder, elastic wave propagation in a finite rod is considered under conditions ~hen the rod may be regarded as analogous to an electrical transmission line. In the case of a resonant system, normal mode analysis provides a simplified treatment and it is shown that the results are in agreement with transmission-line theory. A brief discussion is given regarding the identity of the pulse response of a system and its response to continuous waves.

Prediction of Silencer Performance Using Transmission Line Theory

1971 ◽  
Vol 93 (4) ◽  
pp. 404-410
Author(s):  
R. J. Wells ◽  
R. B. Tatge
Keyword(s):  
Gas Turbine ◽  
Transmission Lines ◽  
Low Frequency ◽  
Frequency Range ◽  
Electrical Transmission ◽  
Transmission Line Theory ◽  
One Dimensional ◽  
Line Theory ◽  
Gas Turbine Exhaust ◽  
Turbine Exhaust

The size and cost of gas turbine exhaust silencers are largely set by low-frequency requirements. In that frequency range, the silencer cross-dimensions are small compared to the wavelength; it can therefore be considered to be one dimensional. Equations analogous to those governing electrical transmission lines can be written to predict the acoustical performance. Agreement between measured and predicted attenuation is good.

scholarly journals Analogue Hawking Radiation in Nonlinear LC Transmission Lines

Universe ◽  
2021 ◽  
Vol 7 (9) ◽  
pp. 334
Author(s):  
Haruna Katayama ◽  
Noriyuki Hatakenaka ◽  
Ken-ichi Matsuda
Keyword(s):  
Black Holes ◽  
Electromagnetic Wave ◽  
Transmission Line ◽  
Transmission Lines ◽  
Hawking Radiation ◽  
Reductive Perturbation Method ◽  
Electrical Transmission ◽  
Third Order ◽  
Nonlinear Transmission Lines ◽  
Electrical Transmission Line

Analogue systems are used to test Hawking radiation, which is hard to observe in actual black holes. One such system is the electrical transmission line, but it suffers the inevitable issue of excess heat that collapses the successfully generated analogue black holes. Soliton provides a possible solution to this problem due to its stable propagation without unnecessary energy dissipation in nonlinear transmission lines. In this work, we propose analogue Hawking radiation in a nonlinear LC transmission line including nonlinear capacitors with a third-order nonlinearity in voltage. We show that this line supports voltage soliton that obeys the nonlinear Schrödinger equation by using the discrete reductive perturbation method. The voltage soliton spatially modifies the velocity of the electromagnetic wave through the Kerr effect, resulting in an event horizon where the velocity of the electromagnetic wave is equal to the soliton velocity. Therefore, Hawking radiation bears soliton characteristics, which significantly contribute to distinguishing it from other radiation.

scholarly journals Development of a Mobile Application for Teaching Transmission Line Theory

2019 ◽  
Vol 13 (02) ◽  
pp. 78 ◽  
Author(s):  
Khalid Salmi ◽  
Hamid Magrez ◽  
Hanane Sefraoui ◽  
Abdelhak Ziyyat
Keyword(s):  
Transmission Line ◽  
Transmission Lines ◽  
Mobile Application ◽  
Travelling Waves ◽  
Transmission Line Theory ◽  
Practical Applications ◽  
Load Matching ◽  
Virtual Tools ◽  
Line Theory ◽  
At Home

<p>The teaching of transmission line theory in electrical engineering courses must be tailored to an audience which is increasingly reluctant to adhere to abstract disciplines. In our opinion, the best solution to make transmission line courses more attractive is to offer practical applications and intensively use of mathematical computer-aided teaching tools to overcome, at the beginning, the difficulties linked to the theory. Indeed, transmission line theory comes alive when the travelling waves are animated on a screen (smartphone, tablets, laptop, etc.). Fundamental concepts such as “progressive wave”, “reflected wave” and “load matching” could be easily demonstrated in the classroom or at home. Transmission line simulations are applied to problems using connections to shunt, open, matched and unmatched loads, and show how the signal waveforms arise from one end to another. The proposed Android-based animations are used with a sinusoidal generator to illustrate the evolution to the sinusoidal steady state and allow learners to easily handle the corresponding Smith chart. Students are encouraged to run those applications at home as a computational laboratory to verify their solutions to homework problems. <br />This article introduces simple Android-based virtual tools for the investigation and visualization in real time of waves traveling along a terminated finite-length transmission line, without and with faults between the source and the load. The package can be used as an educational tool in various lectures or homework to aid teaching high frequency electronics and transmission lines theory.</p>

Frequency Response of Blocked Annular Fluid Transmission Lines

1981 ◽  
Vol 103 (4) ◽  
pp. 366-369
Author(s):  
M. E. Franke ◽  
G. R. Farney ◽  
E. F. Moore
Keyword(s):  
Transmission Line ◽  
Frequency Response ◽  
Transmission Lines ◽  
Transmission Line Theory ◽  
Line Theory ◽  
Theory And Experiment

Frequency response measurements on blocked annular pneumatic transmission lines with five different radius ratios have been obtained and compared with annular transmission line theory. The agreement between theory and experiment was good.

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