Estimation of the characteristic impedance of a transmission line by variational methods

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.

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A Tunable Transmission Line With Controllable Phase Shifting and Characteristic Impedance

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2019.2946307 ◽

2020 ◽

Vol 67 (10) ◽

pp. 1720-1724 ◽

Cited By ~ 1

Author(s):

Han Ren ◽

Mi Zhou ◽

Yixin Gu ◽

Bayaner Arigong

Keyword(s):

Transmission Line ◽

Characteristic Impedance ◽

Phase Shifting

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Transmission Line

Practical Approach to Substrate Integrated Waveguide (SIW) Diplexer - Advances in Mechatronics and Mechanical Engineering ◽

10.4018/978-1-7998-2084-0.ch002 ◽

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.

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Attenuation constant and characteristic impedance calculation of top metal-covered CPW transmission line using neural networks

Journal of Computational Electronics ◽

10.1007/s10825-019-01380-w ◽

2019 ◽

Vol 18 (4) ◽

pp. 1342-1346

Author(s):

Amit Kumar Sahu ◽

Dhruba Charan Panda ◽

Nihar Kanta Sahoo

Keyword(s):

Neural Networks ◽

Transmission Line ◽

Characteristic Impedance ◽

Attenuation Constant ◽

Impedance Calculation

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Solving the Complexity Problem in the Electronics Production Process by Reducing the Sensitivity of Transmission Line Characteristics to Their Parameter Variations

Complexity ◽

10.1155/2019/6301326 ◽

2019 ◽

Vol 2019 ◽

pp. 1-11 ◽

Cited By ~ 2

Author(s):

Talgat R. Gazizov ◽

Indira Ye. Sagiyeva ◽

Sergey P. Kuksenko

Keyword(s):

Transmission Line ◽

Production Process ◽

Transmission Lines ◽

Unit Length ◽

Characteristic Impedance ◽

Optimal Choice ◽

Wide Range ◽

Complexity Problem ◽

Parameter Variations ◽

Parameter Values

In this paper we consider the complexity problem in electronics production process. Particularly, we investigate the ways to reduce sensitivity of transmission line characteristics to their parameter variations. The reduction is shown for the per-unit-length delay and characteristic impedance of several modifications of microstrip transmission lines. It can be obtained by means of making an optimal choice of parameter values, enabling proper electric field redistribution in the air and the substrate. To achieve this aim we used an effective simulation technique and software tools. Taken together, for the first time, they have allowed formulating general approach which is relevant to solve a wide range of similar tasks.

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