Abstract
Guided TEM waves have been extensively investigated between 2 conductors. The multiconductor case, in spite of some important publications in this direction, did not get into the mainstream of the electromagnetic education, and therefore deserves some more attention. The simple case of lossless multiconductor TEM waves in homogeneous media is a good approximation for many practical cases and is easily derivable by usage of potentials only. In this work we derive the formalism for lossless multiconductor TEM waves in homogeneous media, and show several examples for the usage of this formalism.
Highlights
IntroductionThe purpose of this work is to show a simple derivation for TEM waves guided between many perfect conductors, in a homogeneous media and to develop multiconductor models and applications for several geometries
The purpose of this work is to show a simple derivation for TEM waves guided between many perfect conductors, in a homogeneous media and to develop multiconductor models and applications for several geometries.Multiconductor transmission lines have been first analyzed in the orientation of power systems
The last matrices multiplication results in 1, and we identify V0Z0/(Z0 + Zg) as the voltage on each phase Vph of the matched load Zph = Z0, resulting in the usual 3 phase power 3|Vph|2/Zph. This result is valid for the same load we considered above, on any geometry of 3 phase transmission line, provided the length is short compared to the wavelength, so that the characteristic impedance does not count when reflecting the load toward the generator
Summary
The purpose of this work is to show a simple derivation for TEM waves guided between many perfect conductors, in a homogeneous media and to develop multiconductor models and applications for several geometries. Traveling waves phenomena in polyphase systems have been analyzed by Wedepohl (1963) and Galloway (1964) Those works generalized the telegraph equations for more than one dimension, and introduced the term of characteristic self impedance and characteristic mutual impedance between phases. The waveguide modes are represented by N dimensional transmission lines techniques - see Olyslager et al (1994) This subject did not get yet into the main stream of electromagnetic education, and simple derivations for lossless multiconductor TEM are not available.
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