### Measurement Differences, Faults and Instabilities in Intelligent Energy Systems – Part 1: Identification of Overhead High-Voltage Broadband over Power Lines Network Topologies by Applying Topology Identification Methodology (TIM)

#### Abstract

This first paper considers the identification of the structure of overhead high-voltage broadband over power lines (OV HV BPL) network topologies by applying the best L1 Piecewise Monotonic data Approximation (best L1PMA) to measured OV HV BPL transfer functions. Even if measurement differences occur during the determination of an OV HV BPL transfer function, the corresponding OV HV BPL network topology may be revealed through the curve similarity of the best L1PMA result compared with the available records of the proposed OV HV BPL transfer function database.

The contribution of this paper is triple. First, based on the inherent piecewise monotonicity of OV HV BPL transfer functions, best L1PMA is first applied during the determination of theoretical and measured OV HV BPL transfer functions. Second, the creation procedure of the OV HV BPL network topology database is demonstrated as well as the curve similarity performance metric (CSPM). Third, the accuracy of the proposed Topology Identification Methodology (TIM) is examined in comparison with the traditional TIM with respect to the nature of the measurement differences during the determination of OV HV BPL transfer functions.

**Citation:** Lazaropoulos, A. G. (2016). Measurement Differences, Faults and Instabilities in Intelligent Energy Systems – Part 1: Identification of Overhead High-Voltage Broadband over Power Lines Network Topologies by Applying Topology Identification Methodology (TIM). Trends in Renewable Energy, 2(3), 85-112. DOI: 10.17737/tre.2016.2.3.0026

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A. G. Lazaropoulos, “Best L1 Piecewise Monotonic Data Approximation in Overhead and Underground Medium-Voltage and Low-Voltage Broadband over Power Lines Networks: Theoretical and Practical Transfer Function Determination,” Hindawi Journal of Computational Engineering, vol. 2016, Article ID 6762390, 24 pages, 2016. DOI: 10.1155/2016/6762390.

C. Cano, A.Pittolo, D. Malone, L. Lampe, A. M.Tonello, and A. Dabak, “State-of-the-art in Power Line Communications: From the Applications to the Medium,” IEEE J. Sel. Areas Commun., vol. 34, pp. 1935-1952, 2016.

A. Milioudis, G. Andreou, and D. Labridis, “Optimum transmitted power spectral distribution for broadband power line communication systems considering electromagnetic emissions,” Elsevier Electric Power Systems Research, vol. 140, pp. 958–964, 2016. DOI: 10.1016/j.epsr.2016.03.047

T. A. Papadopoulos, A. I. Chrysochos, E. O. Kontis, and G. K. Papagiannis, “Ringdown Analysis of Power Systems Using Vector Fitting,” Electric Power Systems Research, vol. 141, pp. 100-103, 2016.

A. G. Lazaropoulos, “Broadband transmission characteristics of overhead high-voltage power line communication channels,” Progress in Electromagnetics Research B, vol. 36, pp. 373-398, 2012. [Online]. Available: http://www.jpier.org/PIERB/pierb36/19.11091408.pdf

A. G. Lazaropoulos, “Broadband transmission and statistical performance properties of overhead high-voltage transmission networks,” Hindawi Journal of Computer Networks and Commun., 2012, article ID 875632, 2012. [Online]. Available: http://www.hindawi.com/journals/jcnc/aip/875632/

A. G. Lazaropoulos, “Review and Progress towards the Common Broadband Management of High-Voltage Transmission Grids: Model Expansion and Comparative Modal Analysis,” ISRN Electronics, vol. 2012, Article ID 935286, pp. 1-18, 2012. [Online]. Available: http://www.hindawi.com/isrn/electronics/2012/935286/

A. G. Lazaropoulos, “Capacity Performance of Overhead Transmission Multiple-Input Multiple-Output Broadband over Power Lines Networks: The Insidious Effect of Noise and the Role of Noise Models.,” Trends in Renewable Energy, vol. 2, no. 2, pp. 61-82, Jan. 2016. DOI: 10.17737/tre.2016.2.2.0023

A. I. Chrysochos, T. A. Papadopoulos, A. ElSamadouny, G. K. Papagiannis, and N. Al-Dhahir, “Optimized MIMO-OFDM design for narrowband-PLC applications in medium-voltage smart distribution grids,” Electric Power Systems Research, Vol. 140, pp. 253–262, 2016. DOI: 10.1016/j.epsr.2016.06.017

A. G. Lazaropoulos and P. Lazaropoulos, “Financially Stimulating Local Economies by Exploiting Communities’ Microgrids: Power Trading and

Hybrid Techno-Economic (HTE) Model,” Trends in Renewable Energy, vol. 1, no. 3, pp. 131-184, Sep. 2015. DOI: 10.17737/tre.2015.1.3.0014

A. G. Lazaropoulos, “Wireless Sensor Network Design for Transmission Line Monitoring, Metering and Controlling: Introducing Broadband over PowerLines-enhanced Network Model (BPLeNM),” ISRN Power Engineering, vol. 2014, Article ID 894628, 22 pages, 2014. DOI:10.1155/2014/894628

A. G. Lazaropoulos, “Wireless Sensors and Broadband over PowerLines Networks: The Performance of Broadband over PowerLines-enhanced Network Model (BPLeNM) (Invited Paper),” ICAS Publishing Group Transaction on IoT and Cloud Computing, vol. 2, no. 3, pp. 1-35, 2014. [Online]. Available: http://icas-pub.org/ojs/index.php/ticc/article/view/27/17

S. S. Pappas, L. Ekonomou, D. C. Karamousantas, G. E. Chatzarakis, S. K. Katsikas, and P. Liatsis, “Electricity Demand Loads Modeling Using AutoRegressive Moving Average (ARMA) Models,” Energy, vol. 33, no. 9, pp. 1353-1360, 2008. DOI: 10.1016/j.energy.2008.05.008

A. G. Lazaropoulos and P. G. Cottis, “Transmission characteristics of overhead medium voltage power line communication channels,” IEEE Trans. Power Del., vol. 24, no. 3, pp. 1164-1173, Jul. 2009.

A. G. Lazaropoulos and P. G. Cottis, “Capacity of overhead medium voltage power line communication channels,” IEEE Trans. Power Del., vol. 25, no. 2, pp. 723-733, Apr. 2010.

A. G. Lazaropoulos and P. G. Cottis, “Broadband transmission via underground medium-voltage power lines-Part I: transmission characteristics,” IEEE Trans. Power Del., vol. 25, no. 4, pp. 2414-2424, Oct. 2010.

A. G. Lazaropoulos and P. G. Cottis, “Broadband transmission via underground medium-voltage power lines-Part II: capacity,” IEEE Trans. Power Del., vol. 25, no. 4, pp. 2425-2434, Oct. 2010.

F. Versolatto and A. M. Tonello, “An MTL theory approach for the simulation of MIMO power-line communication channels,” IEEE Trans. Power Del., vol. 26, no. 3, pp. 1710-1717, Jul. 2011.

M. Zimmermann and K. Dostert, “Analysis and modeling of impulsive noise in broad-band powerline communications,” IEEE Trans. Electromagn. Compat., vol. 44, no. 1, pp. 249-258, Feb. 2002.

A. G. Lazaropoulos, “Factors Influencing Broadband Transmission Characteristics of Underground Low-Voltage Distribution Networks,” IET Commun., vol. 6, no. 17, pp. 2886-2893, Nov. 2012.

A. G. Lazaropoulos, “Towards broadband over power lines systems integration: Transmission characteristics of underground low-voltage distribution power lines,” Progress in Electromagnetics Research B, 39, pp. 89-114, 2012. [Online]. Available: http://www.jpier.org/PIERB/pierb39/05.12012409.pdf

A. G. Lazaropoulos, “Towards modal integration of overhead and underground low-voltage and medium-voltage power line communication channels in the smart grid landscape: model expansion, broadband signal transmission characteristics, and statistical performance metrics (Invited Paper),” ISRN Signal Processing, in press, [Online]. Available: http://www.isrn.com/journals/sp/aip/121628/

A. G. Lazaropoulos, “Review and Progress towards the Capacity Boost of Overhead and Underground Medium-Voltage and Low-Voltage Broadband over Power Lines Networks: Cooperative Communications through Two- and Three-Hop Repeater Systems,” ISRN Electronics, vol. 2013, Article ID 472190, pp. 1-19, 2013. [Online]. Available: http://www.hindawi.com/isrn/electronics/aip/472190/

A. G. Lazaropoulos, “Green Overhead and Underground Multiple-Input Multiple-Output Medium Voltage Broadband over Power Lines Networks: Energy-Efficient Power Control,” Springer Journal of Global Optimization, vol. 2012 / Print ISSN 0925-5001, pp. 1-28, Oct. 2012.

P. Amirshahi and M. Kavehrad, “High-frequency characteristics of overhead multiconductor power lines for broadband communications,” IEEE J. Sel. Areas Commun., vol. 24, no. 7, pp. 1292-1303, Jul. 2006.

T. Sartenaer, “Multiuser communications over frequency selective wired channels and applications to the powerline access network” Ph.D. dissertation, Univ. Catholique Louvain, Louvain-la-Neuve, Belgium, Sep. 2004.

T. Calliacoudas and F. Issa, ““Multiconductor transmission lines and cables solver,” An efficient simulation tool for plc channel networks development,” presented at the IEEE Int. Conf. Power Line Communications and Its Applications, Athens, Greece, Mar. 2002.

A. G. Lazaropoulos, “Policies for Carbon Energy Footprint Reduction of Overhead Multiple-Input Multiple-Output High Voltage Broadband over Power Lines Networks,” Trends in Renewable Energy, vol. 1, no. 2, pp. 87-118, Jun. 2015. DOI: 10.17737/tre.2015.1.2.0011

T. Sartenaer and P. Delogne, “Deterministic modelling of the (Shielded) outdoor powerline channel based on the multiconductor transmission line equations,” IEEE J. Sel. Areas Commun., vol. 24, no. 7, pp. 1277-1291, Jul. 2006.

C. R. Paul, Analysis of Multiconductor Transmission Lines. New York: Wiley, 1994.

T. A. Papadopoulos, A. I. Chrysochos, and G. K. Papagiannis, “Narrowband Power Line Communication:Medium Voltage Cable Modeling and Laboratory Experimental Results,”Electric Power Systems Research, vol. 102, pp. 50-60, 2013.

A. N. Milioudis, G. T. Andreou, and D. P. Labridis, “Enhanced Protection Scheme for Smart Grids Using Power Line Communications Techniques—Part II: Location ofHigh Impedance Fault Position,” IEEE Trans. on Smart Grid, no. 3, vol. 4, pp. 1631-1640, 2012.

I. C. Demetriou and M. J. D. Powell, “Least squares smoothing of univariate data to achieve piecewise monotonicity,” IMA J. of Numerical Analysis, vol. 11, pp. 411-432, 1991.

I. C. Demetriou and V. Koutoulidis“On Signal Restoration by Piecewise Monotonic Approximation”, in Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2013,London, U.K., Jul. 2013, pp. 268-273.

I. C. Demetriou, “An application of best 𝐿1 piecewise monotonic data approximation to signal restoration,” IAENG International Journal of Applied Mathematics, vol. 53, no. 4, pp. 226-232, 2013.

I. C. Demetriou, “L1PMA: A Fortran 77 Package for Best L1 Piecewise Monotonic Data Smoothing,” Computer Physics Communications, vol. 151, no. 1, pp. 315-338, 2003.

I. C. Demetriou, “Data Smoothing by Piecewise Monotonic Divided Differences,” Ph.D. Dissertation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, 1985.

I. C. Demetriou, “Best L1 Piecewise Monotonic Data Modelling,”Int. Trans. Opl Res., vol. 1, no. 1, pp. 85-94,1994.

I.C. Demetriou, “L1PMA: a Fortran 77 package for best L1 piecewise monotonic data smoothing,” 2003 http://cpc.cs.qub.ac.uk/summaries/ADRF

P. Amirshahi, “Broadband access and home networking through powerline networks” Ph.D. dissertation, Pennsylvania State Univ., University Park, PA, May 2006. [Online]. Available: http://etda.libraries.psu.edu/theses/approved/WorldWideIndex/ETD-1205/index.html

N. Suljanović, A. Mujčić, M. Zajc, and J. F. Tasič, “Approximate computation of high-frequency characteristics for power line with horizontal disposition and middle-phase to ground coupling,” Elsevier Electr. Power Syst. Res., vol. 69, pp. 17-24, Jan. 2004.

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 Trans. Electromagn. Compat., vol. 38, no. 2, pp. 127-138, May 1996.

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: Multi-conductor configuration,” IEEE Trans. Electromagn. Compat., vol. 38, no. 2, pp. 139-149, May 1996.

A. G. Lazaropoulos, “The Impact of Noise Models on Capacity Performance of Distribution Broadband over Power Lines (BPL) Networks,” Hindawi Computer Networks and Communications, vol. 2016, Article ID 5680850, 14 pages, 2016. doi:10.1155/2016/5680850. [Online]. Available: http://www.hindawi.com/journals/jcnc/2016/5680850/

A. G. Lazaropoulos, “Designing Broadband over Power Lines Networks Using the Techno-Economic Pedagogical (TEP) Method – Part I: Overhead High Voltage Networks and Their Capacity Characteristics,” Trends in Renewable Energy, vol. 1, no. 1, pp. 16-42, Mar. 2015. DOI: 10.17737/tre.2015.1.1.002

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, Apr. 2005.

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, Dec. 2005.

R. Pighi and R. Raheli, “On Multicarrier Signal Transmission for High-Voltage Power Lines," in Proc. IEEE Int. Symp. Power Line Commun. Appl., Vancouver, BC, Canada, Apr. 2005, pp. 32-36.

C. de Boor, A Practical Guide to Splines. Revised Edition, NY: Springer-Verlag, Applied Mathematical Sciences, vol. 27, 2001.

M. Holschneider, Wavelets. An Analysis Tool, Oxford: Clarendon Press, 1997.

M. J. D. Powell, Approximation Theory and Methods. Cambridge, U.K.: Cambridge University Press, 1981.

A. G. Lazaropoulos, Engineering the Art through the Lens of L1PMA: A Tribute to the Modern Greek Painters, Art Book ISSUU Digital Publishing Platform, Oct. 2014. [Online]. Available: http://issuu.com/lazaropoulos/docs/l1pma

A. G. Lazaropoulos, ReEngineering the Art through the Lens of L2WPMA: A Tribute to Leonardo da Vinci’sInventions: Flying Machines, War Machines, Architect/Innovations and Water Land Machines, Art Book ISSUU Digital Publishing Platform, Nov. 2014. [Online]. Available: http://issuu.com/lazaropoulos/docs/l2wpma

A. G. Lazaropoulos, ReEngineering the Art through the Lens of L1PMA L2WPMA: The Eternal Youth ofthe Parthenon Art, Architecture, Marble Sculpture, Metallurgy Pottery, Art Book ISSUU Digital Publishing Platform, Dec. 2014. [Online]. Available: http://issuu.com/lazaropoulos/docs/l1pma_l2wpma

T. Banwell and S. Galli, “A novel approach to accurate modeling of the indoor power line channel—Part I: Circuit analysis and companion model,” IEEE Trans. Power Del., vol. 20, no. 2, pp. 655-663, Apr. 2005.

S. Galli and T. Banwell, “A novel approach to accurate modeling of the indoor power line channel — Part II: Transfer function and channel properties,” IEEE Trans. Power Del., vol. 20, no. 3, pp. 1869-1878, Jul. 2005.

S. Galli and T. Banwell, “A deterministic frequency-domain model for the indoor power line transfer function,” IEEE J. Sel. Areas Commun., vol. 24, no. 7, pp. 1304-1316, Jul. 2006.

A. G. Lazaropoulos, "Deployment Concepts for Overhead High Voltage Broadband over Power Lines Connections with Two-Hop Repeater System: Capacity Countermeasures against Aggravated Topologies and High Noise Environments," Progress in Electromagnetics Research B, vol. 44, pp. 283-307, 2012. [Online]. Available: http://www.jpier.org/PIERB/pierb44/13.12081104.pdf

DOI: http://dx.doi.org/10.17737/tre.2016.2.3.0026

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