This paper presents a simple analytical model to estimate the radiated field for broadband Power line communication (PLC) or metallic wire structures. In our approach, we avoid to discretize the line and compute the current for each segment (dipole). We consider only near and far end currents and their derivatives (voltages) to express analytically the radiated electromagnetic field. The case of multiple conductor power line is considered with simplified hypothesis: cables are not insulated and the surrounding media is homogenous. The basic electromagnetic equations are formulated and applied to the line to provide analytical expressions able to compute fields in near and far zones which is not usually treated. The main purpose of this paper is to provide an analytical model applied to bare wires corresponding to classical outdoor transmission lines. The advantage of this method is that we do not need to know the current along the line to calculate the radiated fields; therefore, in our study we use only the currents and voltages at the terminations. The calculation time is strongly reduced compared to dipoles conventional method. Results obtained from the proposed closed-form formulation agree with Feko simulation. For indoor configurations, cables are usually insulated and the surrounding media is no more homogeneous; this case is treated with a generalized approach and will be proposed in future paper.
2. Luo, W. Q. and S. Y. Tan, "A distributed circuit model for power line communications," IEEE Trans. PWD, Vol. 23, No. 3, 1440-1445, 2007.
3. Poljak, D., V. Doric, and S. Sesnic, "Coupling from HF transmitter to power line communications system using antenna theory --- Analytical versus numerical approach," ISTET 2009, Lubeck, Germany, Jun. 2009.
4. Marthe, E., F. Rachidi, M. Ianoz, and P. Zweiacker, "Indoor radiated emission associated with power line communication systems," Proc. IEEE Int. Symp. Electromagnetic Compatibility, Vol. 1, 517-520, Aug. 2001.
5. Gobin, V., X. Ferrieres, J. Grando, B. Michielsen, J. P. Parmantier, and J. C. Alliot, "Analyse critique des outils numriques pour la CEM,", ONERA, Meudon, Sep. 5, 1996.
6. Berenger, J. L., "Perfectly matched layer for the FDTD solution of wave-structure interaction problem," IEEE Transaction on Antenna and Propagation, Vol. 44, 110-117, 1996.
7. Marino, M. F. and J. P. Estienne, "General formalism to treat apertures & cavities using the method of moments," ICEAA 1995, Turin, Italy, Sep. 12-15, 1995.
8. Chaaban, M., K. El Khamlichi Drissi, C. Pasquier, G. Bousaleh, R. Hage, and A. Ismail, "Rayonnement en zone proche d'un CPL en espace libre," 5th International Conference: Sciences of Electronic, Technologies of Information and Telecommunications, SETIT 2009, Tunisia, Mar. 22-26, 2009.
9. King, R. W. P., G. J. Fikioris, and R. B. Mack, "Cylindrical antennas and arrays,", 2002, www.cambridge.org/9780521431071.
10. Paul, C. R., Analysis of Multiconductor Transmission Lines, TK7872.T74P38, A Wiley-interscience Publication, John Wlley & Sons, 1994, ISBN 0-471-02080-X (alk. paper).
11. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover Publication, Inc., New York, 1970.
12. Boyer, A., "Getting started with FEKO software,", National Institute of Applied Sciences Toulouse, Nov. 2008, alexandre.boyerffinsa-toulouse.fr.
13. Vukicevic, A., "Electromagnetic compatibility of power line communication systems,", Thesis No. 4094 (2008), EPFL, Suisse, Jun. 6, 2008.