This paper considers broadband signal transmission and statistical performance properties of high-voltage/broadband over power lines (HV/BPL) channels associated with overhead power transmission. The overhead HV/BPL transmission channel is investigated with regard to its spectral behavior, its end-to-end signal attenuation, and its statistical performance metrics. It is found that the above features depend critically on the frequency, the overhead HV power grid type (150?kV, 275?kV, or 400?kV and single- or double-circuit), the coupling scheme applied, the physical properties of the cables used, the MTL configuration, and the type of branches existing along the end-to-end BPL signal propagation. The contribution of this paper is threefold. First, the significant broadband transmission potential of overhead HV lines is revealed. The results demonstrate that, regardless of overhead HV power grid type, the overhead HV grid is a potentially excellent communications medium, offering low-loss characteristics, flat-fading features, and low multipath dispersion over a 25?km repeater span well beyond 100?MHz. Second, regarding the statistical properties of various overhead HV/BPL transmission channels, two fundamental correlations of several wireline systems, for example, coaxial cables and xDSL, are also validated in the case of overhead HV/BPL transmission channels, namely, (i) end-to-end channel attenuation in relation with root-mean-square delay spread (RMS-DS) and (ii) coherence bandwidth (CB) in relation with RMS-DS. Third, fitting the numerical results and other field trial measurements, two regression distributions suitable for each fundamental correlation are proposed. 1. Introduction The ubiquitous presence of the low-voltage (LV), medium-voltage (MV), and high-voltage (HV) power grids is the key to developing an advanced smart grid (SG) power network, offering a plethora of potential SG applications, such as ubiquitous grid surveillance at small cost, continuous monitoring, real-time adjustment of sensitive loads, and optimal response to power demand during critical circumstances [1, 2]. Moreover, the deployment of broadband over power lines (BPL) networks through the entire grid forms a potentially convenient and inexpensive communication medium for delivering broadband last mile access in remote and/or underdeveloped areas [3]. With the goal of providing operational telephone services and data communications across large geographical distances, the first power line communications (PLC) efforts were put in place by power utilities over HV power grid
References
[1]
H. Ferreira, L. Lampe, J. Newbury, and T. G. Swart, Power Line Communications, Theory and Applications for Narrowband and Broadband Communications over Power Lines, John Wiley & Sons, New York, NY, USA, 2010.
[2]
OPERA1, “D44: report presenting the architecture of PLC system, the electricity network topologies, the operating modes and the equipment over which PLC access system will be installed,” IST Integr. Project No 507667, 2005.
[3]
NATO, “HF interference, procedures and tools (Interférences HF, procédures et outils) final report of NATO RTO information systems technology,” RTO-TR-ISTR-050, 2007, http://ftp.rta.nato.int/public/PubFullText/RTO/TR/RTO-TR-IST-050/%%TR-IST-050-ALL.pdf.
[4]
R. Aquilué, I. Gutierrez, J. L. Pijoan, and G. Sánchez, “High-voltage multicarrier spread-spectrum system field test,” IEEE Transactions on Power Delivery, vol. 24, no. 3, pp. 1112–1121, 2009.
[5]
R. Aquilué, J. L. Pijoan, and G. Sánchez, “High voltage channel measurements and field test of a low power OFDM system,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '08), pp. 1–6, Jeju Island, South Korea, April 2008.
[6]
N. Suljanovi?, A. Muj?i?, M. Zajc, and J. F. Tasi?, “Corona noise characteristics in high voltage PLC channel,” in Proceedings of the IEEE International Conference on Industrial Technology, vol. 2, pp. 1036–1039, Maribor, Slovenia, March 2003.
[7]
A. Muj?i?, N. Suljanovi?, M. Zajc, and J. F. Tasi?, “Design of channel coding methods in HV PLC communications,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '04), pp. 379–384, Zaragoza, Spain, March 2004.
[8]
A. Muj?i?, N. Suljanovi?, M. Zajc, and J. F. Tasi?, “High-voltage PLC roles in packet-switching networks of power utilities,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '07), pp. 204–209, Pisa, Italy, March 2007.
[9]
R. Pighi and R. Raheli, “On multicarrier signal transmission for high-voltage power lines,” in Proceedings of the International Symposium on Power Line Communications and Its Applications (ISPLC '05), pp. 32–36, Vancouver, Canada, April 2005.
[10]
K. Dostert, Powerline Communications, Prentice Hall, Upper Saddle River, NJ, USA, 2001.
[11]
N. Suljanovi?, A. Muj?i?, M. Zajc, and J. F. Tasi?, “Computation of high-frequency and time characteristics of corona noise on HV power line,” IEEE Transactions on Power Delivery, vol. 20, no. 1, pp. 71–79, 2005.
[12]
N. Suljanovi?, A. Muj?i?, M. Zajc, and J. F. Tasi?, “Integrated communication model of the HV power-line channel,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '04), pp. 79–84, Zaragoza, Spain, March 2004.
[13]
N. Suljanovi?, A. Muj?i?, M. Zajc, and J. F. Tasi?, “Approximate computation of high-frequency characteristics for power line with horizontal disposition and middle-phase to ground coupling,” Electric Power Systems Research, vol. 69, no. 1, pp. 17–24, 2004.
[14]
A. G. Lazaropoulos and P. G. Cottis, “Capacity of overhead medium voltage power line communication channels,” IEEE Transactions on Power Delivery, vol. 25, no. 2, pp. 723–733, 2010.
[15]
A. G. Lazaropoulos and P. G. Cottis, “Broadband transmission via underground medium-voltage power lines—part II: capacity,” IEEE Transactions on Power Delivery, vol. 25, no. 4, pp. 2425–2434, 2010.
[16]
M. Gebhardt, F. Weinmann, and K. Dostert, “Physical and regulatory constraints for communication over the power supply grid,” IEEE Communications Magazine, vol. 41, no. 5, pp. 84–90, 2003.
[17]
P. S. Henry, “Interference characteristics of broadband power line communication systems using aerial medium voltage wires,” IEEE Communications Magazine, vol. 43, no. 4, pp. 92–98, 2005.
[18]
S. Liu and L. J. Greenstein, “Emission characteristics and interference constraint of overhead medium-voltage broadband power line (BPL) systems,” in Proceedings of the IEEE Global Telecommunications Conference (GLOBECOM '08), pp. 1–5, New Orleans, La, USA, November 2008.
[19]
M. G?tz, M. Rapp, and K. Dostert, “Power line channel characteristics and their effect on communication system design,” IEEE Communications Magazine, vol. 42, no. 4, pp. 78–86, 2004.
[20]
D. Fenton and P. Brown, “Some aspects of benchmarking high frequency radiated emissions from wireline communications systems in the near and far fields,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '01), pp. 161–167, Malm?, Sweden, April 2001.
[21]
D. Fenton and P. Brown, “Modelling cumulative high frequency radiated interference from power line communication systems,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '02), Athens, Greece, March 2002.
[22]
M. Zimmermann and K. Dostert, “A multipath model for the powerline channel,” IEEE Transactions on Communications, vol. 50, no. 4, pp. 553–559, 2002.
[23]
S. Galli and O. Logvinov, “Recent developments in the standardization of power line communications within the IEEE,” IEEE Communications Magazine, vol. 46, no. 7, pp. 64–71, 2008.
[24]
A. G. Lazaropoulos, “Broadband transmission characteristics of overhead high-voltage power line communication channels,” Progress In Electromagnetics Research B, no. 36, pp. 373–398, 2012.
[25]
S. Galli, A. Scaglione, and Z. Wang, “For the grid and through the grid: the role of power line communications in the smart grid,” Proceedings of the IEEE, vol. 99, no. 6, pp. 998–1027, 2011.
[26]
A. G. Lazaropoulos and P. G. Cottis, “Transmission characteristics of overhead medium-voltage power-line communication channels,” IEEE Transactions on Power Delivery, vol. 24, no. 3, pp. 1164–1173, 2009.
[27]
P. Amirshahi and M. Kavehrad, “High-frequency characteristics of overhead multiconductor power lines for broadband communications,” IEEE Journal on Selected Areas in Communications, vol. 24, no. 7, pp. 1292–1303, 2006.
[28]
T. Sartenaer, Multiuser communications over frequency selective wired channels and applications to the powerline access network, Ph.D. dissertation, Université Catholique de Louvain, Louvain-la-Neuve, Belgium, 2004.
[29]
T. Calliacoudas and F. Issa, “‘Multiconductor transmission lines and cables solver,’ An efficient simulation tool for PLC channel networks development,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '02), Athens, Greece, March 2002.
[30]
S. Galli and T. Banwell, “A deterministic frequency-domain model for the indoor power line transfer function,” IEEE Journal on Selected Areas in Communications, vol. 24, no. 7, pp. 1304–1316, 2006.
[31]
S. Galli and T. Banwell, “A novel approach to the modeling of the indoor power line channel—part II: transfer function and its properties,” IEEE Transactions on Power Delivery, vol. 20, no. 3, pp. 1869–1878, 2005.
[32]
C. R. Paul, Analysis of Multiconductor Transmission Lines, John Wiley & Sons, New York, NY, USA, 1994.
[33]
J. A. B. Faria, Multiconductor Transmission-Line Structures: Modal Analysis Techniques, John Wiley & Sons, New York, NY, USA, 1994.
[34]
T. Sartenaer and P. Delogne, “Deterministic modeling of the (shielded) outdoor power line channel based on the multiconductor transmission line equations,” IEEE Journal on Selected Areas in Communications, vol. 24, no. 7, pp. 1277–1291, 2006.
[35]
T. Sartenaer and P. Delogne, “Powerline cables modelling for broadband communications,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '01), pp. 331–337, Malm?, Sweden, April 2001.
[36]
A. Pérez, A. M. Sánchez, J. R. Regué et al., “Circuital and modal characterization of the power-line network in the PLC band,” IEEE Transactions on Power Delivery, vol. 24, no. 3, pp. 1182–1189, 2009.
[37]
H. Meng, S. Chen, Y. L. Guan et al., “Modeling of transfer characteristics for the broadband power line communication channel,” IEEE Transactions on Power Delivery, vol. 19, no. 3, pp. 1057–1064, 2004.
[38]
P. Amirshahi, Broadband access and home networking through powerline networks, Ph.D. dissertation, Pennsylvania State University, University Park, Pa, USA, 2006, http://etda.libraries.psu.edu/theses/approved/WorldWideIndex/ETD-1205/index.html.
[39]
S. Galli, “A novel approach to the statistical modeling of wireline channels,” IEEE Transactions on Communications, vol. 59, no. 5, pp. 1332–1345, 2011.
[40]
S. Galli, “A simplified model for the indoor power line channel,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '09), pp. 13–19, Dresden, Germany, March 2009.
[41]
S. Galli, “A simple two-tap statistical model for the power line channel,” in Proceedings of the 14th IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '10), pp. 242–248, Rio de Janeiro, Brazil, March 2010.
[42]
F. Versolatto and A. M. Tonello, “Analysis of the PLC channel statistics using a bottom-up random simulator,” in Proceedings of the 14th IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '10), pp. 236–241, Rio de Janeiro, Brazil, March 2010.
[43]
A. M. Tonello, F. Versolatto, and C. Tornelli, “Analysis of impulsive UWB modulation on a real MV test network,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '11), pp. 18–23, Udine, Italy, April 2011.
[44]
M. Antoniali, A. M. Tonello, M. Lenardon, and A. Qualizza, “Measurements and analysis of PLC channels in a cruise ship,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '11), pp. 102–107, Udine, Italy, April 2011.
[45]
A. M. Tonello and F. Versolatto, “Bottom-up statistical PLC channel modeling—part II: inferring the statistics,” IEEE Transactions on Power Delivery, vol. 25, no. 4, pp. 2356–2363, 2010.
[46]
F. J. Ca?ete, J. A. Cortés, L. Díez, and J. T. Entrambasaguas, “A channel model proposal for indoor power line communications,” IEEE Communications Magazine, vol. 49, no. 12, pp. 166–174, 2011.
[47]
M. Tlich, A. Zeddam, F. Moulin, and F. Gauthier, “Indoor power-line communications channel characterization up to 100?MHz—part II: time-frequency analysis,” IEEE Transactions on Power Delivery, vol. 23, no. 3, pp. 1402–1409, 2008.
[48]
M. Tlich, G. Avril, and A. Zeddam, “Coherence bandwidth and its relationship with the rms delay spread for PLC channels using measurements up to 100?MHz,” in Proceedings of the International Federation for Information Processing (IFIP '08), pp. 129–142, December 2008.
[49]
N. Suljanovi?, A. Muj?i?, M. Zajc, and J. F. Tasi?, “High-frequency characteristics of high-voltage power line,” in Proceedings of the IEEE International Conference on Computer as a Tool, pp. 310–314, Ljubljana, Slovenia, September 2003.
[50]
W. Villiers, J. H. Cloete, and R. Herman, “The feasibility of ampacity control on HV transmission lines using the PLC system,” in Proceedings of the 6th IEEE Africon Conference in Africa (AFRICON '02), vol. 2, pp. 865–870, George, South Africa, October 2002.
[51]
M. Zajc, N. Suljanovi?, A. Muj?i?, and J. F. Tasi?, “Frequency characteristics measurement of overhead high-voltage power-line in low radio-frequency range,” IEEE Transactions on Power Delivery, vol. 22, no. 4, pp. 2142–2149, 2007.
[52]
J. Kuffel, E. Kuffel, and W. S. Zaengl, High-Voltage Engineering Fundamentals, Butterworth Heinemann, Woburn, Mass, USA, 2001.
[53]
M. Z. A. A. Kadir, J. Sardi, W. F. W. Ahmad, H. Hizam, and J. Jasni, “Evaluation of a 132?kV transmission line performance via transient modelling approach,” European Journal of Scientific Research, vol. 29, no. 4, pp. 533–539, 2009.
[54]
R. K. Z. Sahbudin, S. A. Fauzi, S. Hitam, and M. Mokhtar, “Investigation of electrical potential and electromagnetic field for overhead high voltage power lines in Malaysia,” Journal of Applied Sciences, vol. 10, no. 22, pp. 2862–2868, 2010.
[55]
M. D'Amore and M. S. Sarto, “A new formulation of lossy ground return parameters for transient analysis of multiconductor dissipative lines,” IEEE Transactions on Power Delivery, vol. 12, no. 1, pp. 303–309, 1997.
[56]
P. Amirshahi and M. Kavehrad, “Medium voltage overhead powerline broadband communications; transmission capacity and electromagnetic interference,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '05), pp. 2–6, Vancouver, Canada, April 2005.
[57]
M. D'Amore and M. S. Sarto, “Simulation models of a dissipative transmission line above a lossy ground for a wide-frequency range—part I: single conductor configuration,” IEEE Transactions on Electromagnetic Compatibility, vol. 38, no. 2, pp. 127–138, 1996.
[58]
M. D'Amore and M. S. Sarto, “Simulation models of a dissipative transmission line above a lossy ground for a wide-frequency range—Part II: multiconductor configuration,” IEEE Transactions on Electromagnetic Compatibility, vol. 38, no. 2, pp. 139–149, 1996.
[59]
J. Anatory and N. Theethayi, “On the efficacy of using ground return in the broadband power-line communications-A transmission-line analysis,” IEEE Transactions on Power Delivery, vol. 23, no. 1, pp. 132–139, 2008.
[60]
J. R. Carson, “Wave propagation in overhead wires with ground return,” Bell System Technical Journal, vol. 5, pp. 539–554, 1926.
[61]
H. Kikuchi, “Wave propagation along an infinite wire above ground at high frequencies,” Electrotechnical Journal of Japan, vol. 2, pp. 73–78, 1956.
[62]
H. Kikuchi, “On the transition form a ground return circuit to a surface waveguide,” in Proceedings of the International Congress on Ultra High Frequency Circuits and Antenna, pp. 39–45, Paris, France, October 1957.
[63]
F. Issa, D. Chaffanjon, E. P. de la Bathie, and A. Pacaud, “An efficient tool for modal analysis transmission lines for PLC networks development,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '02), Athens, Greece, March 2002.
[64]
W. Villiers, J. H. Cloete, L. M. Wedepohl, and A. Burger, “Real-time sag monitoring system for high-voltage overhead transmission lines based on power-line carrier signal behavior,” IEEE Transactions on Power Delivery, vol. 23, no. 1, pp. 389–395, 2008.
[65]
B. S. Yarman and A. Fettweis, “Computer-aided double matching via parametric representation of brune functions,” IEEE Transactions on Circuits and Systems, vol. 37, no. 2, pp. 212–222, 1990.
[66]
R. Araneo, S. Celozzi, G. Lovat, and F. Maradei, “Multi-port impedance matching technique for power line communications,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '11), pp. 96–101, Udine, Italy, April 2011.
[67]
E. Fortunato, A. Garibbo, and L. Petrolino, “An experimental system for digital power line communications over high voltage electric power lines–field trials and obtained results,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '03), pp. 26–31, Kyoto, Japan, March 2003.
[68]
J. Anatory, N. Theethayi, and R. Thottappillil, “Power-line communication channel model for interconnected networks—part II: multiconductor system,” IEEE Transactions on Power Delivery, vol. 24, no. 1, pp. 124–128, 2009.
[69]
FCC, “In the matter of amendment of part 15 regarding new requirements and measurement guidelines for access broadband over power line systems,” FCC 04-245 Report and Order, 2008.
[70]
NTIA, “Potential interference from broadband over power line (BPL) systems to federal government radio communications at 1.7-80?MHz Phase 1 Study Vol. 1,” NTIA Report 04–413, 2004.
[71]
L. M. Kuhn, S. Berger, I. Hammerstr?m, and A. Wittneben, “Power line enhanced cooperative wireless communications,” IEEE Journal on Selected Areas in Communications, vol. 24, no. 7, pp. 1401–1410, 2006.
[72]
J. Anatory, N. Theethayi, R. Thottappillil, M. M. Kissaka, and N. H. Mvungi, “The influence of load impedance, line length, and branches on underground cable power-line communications (PLC) systems,” IEEE Transactions on Power Delivery, vol. 23, no. 1, pp. 180–187, 2008.
[73]
J. Anatory, N. Theethayi, R. Thottappillil, M. M. Kissaka, and N. H. Mvungi, “The effects of load impedance, line length, and branches in typical low-voltage channels of the BPLC systems of developing countries: transmission-line analyses,” IEEE Transactions on Power Delivery, vol. 24, no. 2, pp. 621–629, 2009.
[74]
OPERA1, “D5: pathloss as a function of frequency, distance and network topology for various LV and MV European powerline networks,” IST Integrated Project No 507667, 2005.
B. O'Mahony, “Field testing of high-speed power line communications in North American homes,” in Proceedings of the IEEE International Symposium on Power Line Communications and Its Applications (ISPLC '06), pp. 155–159, Orlando, Fla, USA, March 2006.