A Novel Energy Relation in Eigen Modes of Transmission Line and its Application to the Derivation of Variational Expression for Propagation Constant

2005 ◽  
Author(s):  
K. Araki ◽  
Y. Naito
Keyword(s):  
Transmission Line ◽  
Propagation Constant ◽  
Energy Relation ◽  
Modes Of Transmission ◽  
Variational Expression

Transmission Line Theories for the Analysis of Electromagnetic Transients in Coil Windings

2013 ◽  
pp. 1-44
Author(s):  
Akihiro Ametani ◽  
Teruo Ohno
Keyword(s):  
Transmission Line ◽  
Propagation Constant ◽  
Characteristic Impedance ◽  
Electromagnetic Transients ◽  
Distributed Parameter ◽  
System A ◽  
Three Phase ◽  
Distributed Parameter Circuit ◽  
Transformer Winding ◽  
Phase Transmission

The chapter contains the basic theory of a distributed-parameter circuit for a single overhead conductor and for a multi-conductor system, which corresponds to a three-phase transmission line and a transformer winding. Starting from a partial differential equation of a single conductor, solutions of a voltage and a current on the conductor are derived as a function of the distance from the sending end. The characteristics of the voltage and the current are explained, and the propagation constant (attenuation and propagation velocity) and the characteristic impedance are described. For a multi-conductor system, a modal theory is introduced, and it is shown that the multi-conductor system is handled as a combination of independent single conductors. Finally, a modeling method of a coil is explained by applying the theories described in the chapter.

Transmission Line

2020 ◽  
pp. 43-71
Keyword(s):  
Transmission Line ◽  
Transmission Lines ◽  
Magnetic Energy ◽  
Propagation Constant ◽  
Characteristic Impedance ◽  
Electric Energy ◽  
Electromagnetic Energy ◽  
The Other ◽  
Electrical Characteristics ◽  
Lumped Elements

A transmission line (TL) is simply a medium that is capable of guiding or propagating electromagnetic energy. The transmission line stores the electric (E) and magnetic (M) energies and distributes them in space by alternating them between the two forms. This means that at any point along a TL, energy is stored in a mixture of E and M forms and, for an alternating signal at any point on the TL, converted from one form to the other as time progresses. Transmission line is usually modelled using lumped elements (i.e., inductors for magnetic energy, capacitors for electric energy, and resistors for modelling losses). The electrical characteristics of a TL such as the propagation constant, the attenuation constant, the characteristic impedance, and the distributed circuit parameters can only be determined from the knowledge of the fields surrounding the transmission line. This chapter gives a brief overview of various transmission lines, with more detailed discussions on the microstrip and the SIW.

scholarly journals Symmetrical Components of Transmission Line Parameters based on the Installed Tower Ground Resistivity

2020 ◽  
Vol 8 (6) ◽  
pp. 1987-1993
Keyword(s):  
Transmission Line ◽  
Distribution Systems ◽  
Power Transmission ◽  
Sea Water ◽  
Propagation Constant ◽  
Electric Power System ◽  
Transmission Tower ◽  
Earth Resistivity ◽  
Symmetrical Component ◽  
Regular Line

Transmission is a component of the electric power system alongside the generation and distribution systems. Effective and efficient planning is often required in system design and operation to ensure consistent and reliable supply of power to the Customers. Thus, transmission line parameters analysis needs to be carried out to ensure this proper planning. One of the crucial equipment used in transmission’s overhead lines is Tower supports which are of different configuration considering the Structural design, voltage ratings and current transmission. Very often, towers are randomly installed to carry lines of the chosen voltage and current rating without considering the effects of earth resistivity on which the tower is installed. This paper presents the transmission line symmetrical component parameters evaluation of a chosen Transmission tower. An algorithm was developed, and python software program was used to implement this algorithm for the analysis. In achieving target, the selected tower was imagined having been erected on six different earth resistivity ground which include, sea water, swampy ground, pure slate, sandstone and general average ground. Symmetrical component parameters evaluated includes impedance, characteristics impedance, propagation constant, shunt admittance and capacitive suceptances as they were found to be important in the effective monitoring of power transmission and distribution. The results of the analysis are presented and discussed. These results show that capacitive suceptances are independent on tower earth resistivity and vary for different tower structural configurations while other parameters vary with earth resistivity value of the tower. Furthermore, regular line parameters monitoring is a measure minimizing power transmission losses in networks

scholarly journals Applying the Retarded Solutions of Electromagnetic Fields to Transmission Line RLGC Modeling

2017 ◽  
Vol 6 (1) ◽  
pp. 56
Author(s):  
P. Ye ◽  
B. Gore ◽  
P. Huray
Keyword(s):  
Transmission Line ◽  
Transmission Lines ◽  
Analytical Approach ◽  
Propagation Constant ◽  
Unit Length ◽  
Characteristic Impedance ◽  
Simulation Methods ◽  
Arbitrary Length ◽  
Small Segment ◽  
Numerical Simulation Methods

The RLGC model, and its variations, is one of the most common techniques to simulate Transmission Lines. The RLGC model uses circuit network elements consisting of Resistance R, Inductance L, Conductance G and Capacitance C (per unit length) to represent a small segment of the Transmission Line, and then cascades multiple segments to simulate the Transmission Line of arbitrary length. Typically the parameters in RLGC model are extracted from the propagation constant and characteristic impedance of the transmission line, which are found using numerical simulation methods. These resulting RLGC parameters for multi-GHz signaling are usually frequency-dependent. This paper introduces an analytical approach to extract RLGC parameters to simulate transmission line, which results in a different model, the RLGC(p) model.

Propagation constant of a transmission line

1932 ◽  
Vol 51 (2) ◽  
pp. 128-129
Author(s):  
W. J. Creamer
Keyword(s):  
Transmission Line ◽  
Propagation Constant

ON THE THEORY OF A COAXIAL TRANSMISSION LINE CONSISTING OF ELLIPTIC CONDUCTORS

1956 ◽  
Vol 34 (4) ◽  
pp. 354-361 ◽  
Author(s):  
J. Y. Wong
Keyword(s):  
Transmission Line ◽  
Propagation Constant ◽  
Practical Interest ◽  
Elliptic Cylinder ◽  
Coaxial Line ◽  
Physical Parameters ◽  
Approximate Theory ◽  
Higher Order Modes ◽  
Flat Strip ◽  
Limiting Case

A coaxial transmission line consisting of conductors of elliptic cross-section is treated as a boundary-value problem. Using elliptic-cylinder wave functions, a formula is derived for the propagation constant of the allowed symmetric modes of propagation. A condition for the generation of the higher-order modes is established in terms of the physical parameters. The analysis is restricted to the case where both the inner and outer conductors are confocal. A configuration of practical interest follows for the limiting case of the inner conductor consisting of a flat strip. The resulting structure can be regarded as constituting a form of shielded "strip" transmission line. The analysis may be used to provide an approximate theory for the "rectangular" coaxial line.

Variational expression of the propagation constant for leaky modes

1978 ◽  
Vol 14 (3) ◽  
pp. 73 ◽  
Author(s):  
Shojiro Kawakami ◽  
Kazuhiko Ogusu
Keyword(s):  
Propagation Constant ◽  
Leaky Modes ◽  
Variational Expression
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