Multiconductor Transmission Lines and the Green's Matrix (Short Papers)

Gruner, L.

doi:10.1109/tmtt.1974.1128356

Cited by 6 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…al. [2], and is similar to work by Paul [7,8] and Grunner [9] to characterize crosstalk on telecommunication cables and apparatus. This model is extended to cover three phase power distribution lines.…”

Section: A Paper Recommended and Approvedmentioning

confidence: 83%

A model for communication signal propagation on three phase power distribution lines

Hardy¹,

Ardalan

O'Neal³

et al. 1991

IEEE Trans. Power Delivery

View full text Add to dashboard Cite

The purpose of this paper is to describe a theoretical m o d e l f o r d e t e r m i n i n g i h e signal s t r e n g t h of communication signals on three phase power distribution lines.This model has bcen implemented in software. The model is used to compute voltage and current as functions of the distance from the signal source for several different power line configurations.The data so generated are compared with measurements.

show abstract

Section: A Paper Recommended and Approvedmentioning

confidence: 83%

A model for communication signal propagation on three phase power distribution lines

Hardy¹,

Ardalan

O'Neal³

et al. 1991

IEEE Trans. Power Delivery

View full text Add to dashboard Cite

show abstract

“…(x) for this model is given by 8 Substituting I(x) = I,(x) into (12) and integrating by parts leads to a Volterra integral equation given by …”

Section: Related By a Simple Interchange Of Z ( X ) And Y ( X )mentioning

confidence: 99%

Transmission parameter representation of non‐uniform transmission line Green's functions

Haley

1981

Circuit Theory & Apps

View full text Add to dashboard Cite

The Green's function G(x, x') of a non‐uniform transmission line is formulated exactly in terms of partial transmission matrix parameters associated with different segments of the line. Exact differential expressions relate the transmission parameters to each other, and it is shown that G(x, x') can be expressed entirely in terms of a single transmission parameter B(x, x') and its derivatives. The voltage response V(x) on any doubly‐terminated line with arbitrary current source density along the line is given. A new perturbation technique, based on a Volterra integral equation, is developed which determines V(x) in terms of known functions and arbitrary perturbing immittances on the line.

show abstract

“…Alternatively, the Green's function matrix (15,16] While equation (5) holds for both distributed and point sources located anywhere along the lines, voltage sources located at one end of each line are of i'mmediate interest. When it is observed that the determination of the scattering parameters calls for the calculation of voltage transfer ratios and input impedances, we infer that the scattering parameters may be deduced with the aid of Gj1(x,t) and G21(x,t) evaluated at E=O and x0O or x=L, as appli cable.…”

Section: Theorymentioning

confidence: 99%

Nonsymmetrical Three-Line Microstrip Couplers

Gruner

1981

11th European Microwave Conference, 1981

Self Cite

View full text Add to dashboard Cite

The Green's function matrix facilitates the study of multiconductor transmission lines, including nonsynmetrical three-line microstrip couplers, since the effect of terminating impedances upon the input immittances as well as voltage and current ratios can be incorporated. Hence scattering parameters can be computed in an efficient manner. THEORYThere is a vast literature discussing general properties of multiconductor transmission lines and the paper by Marx [1] dealing with lossless lines surrounded by inhomogeneous dielectrics is particularly relevant to microstrip applications.In addition, a large number of papers concerned with the transmission of power has been published and, while not directly applicable, some are of indirect interest. Apart from topological differences, in power applications multiconductor transmission lines are in general lossy and surrounded by a homogeneous dielectric as distinct from lossless conductors in inhomogeneous dielectric media, of concern to the designer of microstrip circuitry. Referring to coupled microstrip lines, Tripathl [2,31, Pavlidis and Hartnagel [41, Azizi [51 as well as Rigg and Carroll [61 describe special cases of interest, viz. a nonsymmetrical pair of microstrip lines [21 as well as symmetrical three-line couplers [3,4,5]. The determination of the scattering parameters of symmetrical three-line couplers has been discussed by Pavlidis and Hartnagel [4], Collier and El-Deeb [71 as well as Tripathi [ 81.Finally, a quite recent paper by Chang [9] dealing with the computer aided characterisatlon of coupled TEM lines, illustrated with reference to a three-line symmetrlcal microstrip coupler, should be mentioned.In all cases the theory is based on the classical telegrapher's equations whlch are known to hold exactly for uniform lossless lines. Their solution and hence the determination of the individual voltages and currents leads to an eigenvalue problem. Thus dI -Y 1 1 IS

show abstract

Multiconductor Transmission Lines and the Green's Matrix (Short Papers)

Cited by 6 publications

References 5 publications

A model for communication signal propagation on three phase power distribution lines

A model for communication signal propagation on three phase power distribution lines

Transmission parameter representation of non‐uniform transmission line Green's functions

Nonsymmetrical Three-Line Microstrip Couplers

Contact Info

Product

Resources

About