Email this article 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
Abstract
This second paper investigates the role of the number of monotonic sections during the mitigation of measurement differences in overhead medium-voltage broadband over power lines (OV MV BPL) transfer functions. The performance of two well-known piecewise monotonic data approximations that are based on the number of monotonic sections (i.e., L1PMA and L2WPMA) is assessed in comparison with the occurred measurement differences and L2CXCV, which is a piecewise monotonic data approximation without considering monotonic sections.
The contribution of this paper is double. First, further examination regarding the definition of the optimal number of monotonic section is made so that the accuracy of L1PMA can be significantly enhanced. In fact, the goal is to render piecewise monotonic data approximations that are based on the optimal number of monotonic sections as the leading approximation against the other ones without monotonic sections. Second, a generic framework concerning the definition of an adaptive number of monotonic sections is proposed for given OV MV BPL topology.
Citation: Lazaropoulos, A. G. (2017). 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, 3(1), 33-60. DOI: 10.17737/tre.2017.3.1.0030
Keywords
Full Text:
FULL TEXT (PDF)References
A Homeplug, Technology Gains Momentum, 2013, [Online]. Available: http://www.businesswire.com
Homeplug, AVWhitepaper, 2007, [Online]. Available: http://www.homeplug.org/techresources/resources/
Homeplug, AV2Whitepaper, 2011, [Online]. Available: http://www.homeplug.org/techresources/resources/
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, “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. 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. DOI: 10.17737/tre.2017.3.1.0029
A. G. Lazaropoulos, “Factors Influencing Broadband Transmission Characteristics of Underground Low-Voltage Distribution Networks,â€
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, “Broadband transmission and statistical performance properties of overhead high-voltage transmission networks,â€HindawiJournal of Computer Networks and Commun., 2012, article ID 875632, 2012. [Online]. Available: http://www.hindawi.com/journals/jcnc/aip/875632/
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, 17 pages, 2012. [Online]. Available: http://www.isrn.com/journals/sp/aip/121628/
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, “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, “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. DOI: 10.17737/tre.2016.2.3.0026
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. DOI: 10.17737/tre.2016.2.3.0027
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 Approximationâ€, 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 ð¿1 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,â€Ph.D. Dissertation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, 1985.
I. C. Demetriou, “Best L1 Piecewise Monotonic Data Modelling,â€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, “Designing Broadband over Power Lines Networks Using the Techno-Economic Pedagogical (TEP) Method – Part II: Overhead Low-Voltage and Medium-Voltage Channels and Their Modal Transmission Characteristics,†Trends in Renewable Energy, vol. 1, no. 2, pp. 59-86, Jun. 2015. DOI: 10.17737/tre.2015.1.2.006
DOI: http://dx.doi.org/10.17737/tre.2017.3.1.0030
Refbacks
- There are currently no refbacks.
Copyright (c) 2017 Athanasios G. Lazaropoulos
This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 License.Copyright @2014-2024 Trends in Renewable Energy (ISSN: 2376-2136, online ISSN: 2376-2144)