### Smart Energy and Spectral Efficiency (SE) of Distribution Broadband over Power Lines (BPL) Networks – Part 2: L1PMA, L2WPMA and L2CXCV for SE against Measurement Differences in Overhead Medium-Voltage BPL Networks

#### Abstract

This second paper assesses the performance of piecewise monotonic data approximations, such as L1PMA, L2WPMA and L2CXCV, against the measurement differences during the spectral efficiency (SE) calculations in overhead medium-voltage broadband over power lines (OV MV BPL) networks. In this case study paper, the performance of the aforementioned three already known piecewise monotonic data approximations, which are considered as countermeasure techniques against measurement differences, is here extended during the SE computations. The indicative BPL topologies of the first paper are again considered while the 3-30 MHz frequency band of the BPL operation is assumed.

**Citation:** Lazaropoulos, A. G. (2018). Smart Energy and Spectral Efficiency (SE) of Distribution Broadband over Power Lines (BPL) Networks – Part 2: L1PMA, L2WPMA and L2CXCV for SE against Measurement Differences in Overhead Medium-Voltage BPL Networks. Trends in Renewable Energy, 4, 185-212. DOI: 10.17737/tre.2018.4.2.0077

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M. Emmanuel and R. Ramesh, “Evolution of Dispatchable Photovoltaic System Integration with the Electric Power Network for Smart Grid Applications: A Review,” Elsevier Renewable and Sustainable Energy Reviews, vol. 67, pp. 207-224, Jan. 2017.

C. Zhao, J. He; P. Cheng and J. Chen, “Consensus-based Energy Management in Smart Grid with Transmission Losses and Directed Communication,” IEEE Trans. on Smart Grid, vol. 8, no. 5, pp. 2049-2061, Sep. 2017.

Y. Yoldaş, A. Önen, S. M. Muyeen, A. V., Vasilakos, and İ. Alan, “Enhancing Smart Grid with Microgrids: Challenges and Opportunities,” Elsevier Renewable and Sustainable Energy Reviews, vol. 72, pp. 205-214, May 2017.

A. G. Lazaropoulos, “Smart Energy and Spectral Efficiency (SE) of Distribution Broadband over Power Lines (BPL) Networks – Part 1: The Impact of Measurement Differences on SE Metrics,” Trends in Renewable Energy, under review.

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, vol. 2012, Article ID 121628, pp. 1-17, 2012. [Online]. Available: http://www.hindawi.com/isrn/sp/2012/121628/

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 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.

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, “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.

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

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/

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. 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.

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.

H. Meng, S. Chen, Y. L. Guan, C. L. Law, P. L. So, E. Gunawan, and T. T. Lie, “Modeling of transfer characteristics for the broadband power line communication channel,” IEEE Trans. Power Del., vol. 19, no. 3, pp. 1057-1064, Jul. 2004.

B. Li, D. Mansson, and G. Yang, “An efficient method for solving frequency responses of power-line networks,” Progress In Electromagnetics Research B, Vol. 62, 303-317, 2015. doi:10.2528/PIERB15013008 http://www.jpier.org/pierb/pier.php?paper=15013008

M. Chaaban, K. El KhamlichiDrissi, and D. Poljak, “Analytical model for electromagnetic radiation by bare-wire structures,” Progress In Electromagnetics Research B, Vol. 45, 395-413, 2012. doi:10.2528/PIERB12091102 http://www.jpier.org/pierb/pier.php?paper=12091102

Y. H. Kim, S. Choi, S. C. Kim, and J. H. Lee, “Capacity of OFDM two-hop relaying systems for medium-voltage power-line access networks,” IEEE Trans. Power Del., vol. 27, no. 2, pp. 886-894, Apr. 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.

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.

I. C. Demetriou, “Algorithm 863: L2WPMA, a Fortran 77 package for weighted least-squares piecewise monotonic data approximation,” ACM Transactions on Mathematical Software (TOMS), vol. 33, no.1, pp. 6, 2007.

I. C. Demetriou, “L2CXCV: A Fortran 77 package for least squares convex/concave data smoothing,” Computer physics communications, vol. 174, no.8,pp. 643-668, 2006.

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. [Online]. Available: https://www.hindawi.com/journals/jcengi/2016/6762390/cta/

A. G. Lazaropoulos, “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, vol. 2, no. 3, pp. 85 – 112, Oct. 2016.

A. G. Lazaropoulos, “Measurement Differences, Faults and Instabilities in Intelligent Energy Systems – Part 2: Fault and Instability Prediction in Overhead High-Voltage Broadband over Power Lines Networks by Applying Fault and Instability Identification Methodology (FIIM),” Trends in Renewable Energy, vol. 2, no. 3, pp. 113 – 142, Oct. 2016. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/27/33

A. G. Lazaropoulos, “Power Systems Stability through Piecewise Monotonic Data Approximations – Part 1: Comparative Benchmarking of L1PMA, L2WPMA and L2CXCV in Overhead Medium-Voltage Broadband over Power Lines Networks,” Trends in Renewable Energy, vol. 3, no. 1, pp. 2 – 32, Jan. 2017. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/29/34

A. G. Lazaropoulos, “Power Systems Stability through Piecewise Monotonic Data Approximations – Part 2: Adaptive Number of Monotonic Sections and Performance of L1PMA, L2WPMA and L2CXCV in Overhead Medium-Voltage Broadband over Power Lines Networks,” Trends in Renewable Energy, vol. 3, no. 1, pp. 33 – 60, Jan. 2017. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/30/35

A. G. Lazaropoulos, “Main Line Fault Localization Methodology in Smart Grid – Part 1: Extended TM2 Method for the Overhead Medium-Voltage Broadband over Power Lines Networks Case,” Trends in Renewable Energy, vol. 3, no. 3, pp. 2-25, Dec. 2017. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/36

A. G. Lazaropoulos, “Main Line Fault Localization Methodology in Smart Grid – Part 2: Extended TM2 Method, Measurement Differences and L1 Piecewise Monotonic Data Approximation for the Overhead Medium-Voltage Broadband over Power Lines Networks Case,” Trends in Renewable Energy, vol. 3, no. 3, pp. 26-61, Dec. 2017. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/37

A. G. Lazaropoulos, “Main Line Fault Localization Methodology in Smart Grid – Part 3: Main Line Fault Localization Methodology (MLFLM),” Trends in Renewable Energy, vol. 3, no. 3, pp. 62-81, Dec. 2017. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/38

A. G. Lazaropoulos, “Improvement of Power Systems Stability by Applying Topology Identification Methodology (TIM) and Fault and Instability Identification Methodology (FIIM) – Study of the Overhead Medium-Voltage Broadband over Power Lines (OV MV BPL) Networks Case,” Trends in Renewable Energy, vol. 3, no. 2, pp. 102-128, Apr. 2017. [Online]. Available: http://futureenergysp.com/index.php/tre/article/view/34

http://cpc.cs.qub.ac.uk/summaries/ADRF

http://www.cpc.cs.qub.ac.uk/summaries/ADXM_v1_0.html

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.

M. Gebhardt, F. Weinmann, and K. Dostert, “Physical and regulatory constraints for communication over the power supply grid,” IEEE Commun. Mag., vol. 41, no. 5, pp. 84-90, May 2003.

P. S. Henry, “Interference characteristics of broadband power line communication systems using aerial medium voltage wires,” IEEE Commun. Mag., vol. 43, no. 4, pp. 92-98, Apr. 2005.

Ofcom, “Amperion PLT Measurements in Crieff,” Ofcom, Tech. Rep., Sept. 2005.

NATO, “HF Interference, Procedures and Tools (Interférences HF, procédures et outils) Final Report of NATO RTO Information Systems Technology,” RTO-TR-ISTR-050, Jun. 2007, [Online]. Available: http://ftp.rta.nato.int/public/PubFullText/RTO/TR/RTO-TR-IST-050/$$TR-IST-050-ALL.pdf

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, Jul. 2008.

Ofcom, “DS2 PLT Measurements in Crieff,” Ofcom, Tech. Rep. 793 (Part 2), May 2005.

Ofcom, “Ascom PLT Measurements in Winchester,” Ofcom, Tech. Rep. 793 (Part 1), May 2005.

DOI: http://dx.doi.org/10.17737/tre.2018.4.2.0077

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