Statistical Channel Modeling of Overhead Low Voltage Broadband over Power Lines (OV LV BPL) Networks – Part 1: The Theory of Class Map Footprints of Real OV LV BPL Topologies, Branch Line Faults and Hook-Style Energy Thefts

Athanasios Lazaropoulos

doi:10.17737/tre.2020.6.1.00112

Abstract

Due to the significant volatility of Broadband over Power Lines (BPL) networks regarding their circuital and topological characteristics, channel statistical modeling recently gains special attention from the BPL communications engineers. Among the recently presented channel attenuation statistical models, initial statistical hybrid model (iSHM) and modified statistical hybrid model (mSHM) have been theoretically defined and applied to overhead medium voltage (OV MV), underground medium voltage (UN MV) and overhead high voltage (OV HV) BPL networks so far. Apart from the iSHM and mSHM definition and application, the theory of the definition procedure of new virtual distribution and transmission BPL topologies, which describes the phases towards defining statistically equivalent BPL topologies and topology subclasses to the real indicative ones, has been demonstrated as well as the class maps, which are 2D capacity contour plots with respect to the channel attenuation statistical distributions (CASDs) parameters of iSHM and mSHM. In this pair of papers, iSHM, mSHM, the definition procedure of new virtual BPL topologies and the class mapping are first applied to overhead low voltage (OV LV) BPL networks. Based on the class maps and the BPL topology database of Topology Identification Methodology (TIM), the required theory for illustrating the footprint of the real OV LV BPL topologies is first presented on class maps in this paper. On the basis of the class maps and the BPL topology database of Fault and Instability Identification Methodology (FIIM), the required theory for illustrating the footprint of the OV LV BPL topologies with branch line faults is first identified on class maps in this paper. On the basis of the class maps and the BPL topology database of hook style energy theft detection method (HS-DET method), the required theory for illustrating the footprint of the OV LV BPL topologies with a hook style energy theft is first demonstrated on class maps in this paper. Citation: Lazaropoulos, A. G. (2020). Statistical Channel Modeling of Overhead Low Voltage Broadband over Power Lines (OV LV BPL) Networks – Part 1: The Theory of Class Map Footprints of Real OV LV BPL Topologies, Branch Line Faults and Hook-Style Energy Thefts. Trends in Renewable Energy, 6, 61-87. DOI: 10.17737/tre.2020.6.1.00112

Highlights

During the recent years, the traditional power grid, which represents an omnipresent widely branched hierarchical network structure and has been designed to facilitate the one-way power delivery from producers to consumers with relatively few one-way communications modalities is transformed into the smart grid, which is based on the traditional power grid infrastructure and may support two types of flows; say, a two-way power and a two-way information flow [1]-[3]
DHM consists of two interconnected modules, say: (i) the bottom-up approach module that is based on the formality of the MTL theory and its interaction with various similarity transformations; and (ii) the top-down approach module (TM2 method) that is based on the handling of the multidimensional transmission matrices of the cascaded BPL topologies of the examined BPL networks and topologies, the coupling scheme module, which determines the way that the BPL signal is injected/extracted onto/from power lines, and the capacity module that computes the highest information rate without errors that can be achieved in the examined BPL networks
By combining the channel attenuation results of DHM and CASDs through a six-phase flowchart procedure, iSHM and mSHM may give as output capacity ranges for given MTL configuration, IPSD limit, noise PSD level, coupling scheme and BPL topology subclass where a BPL topology subclass is uniquely characterized by its respective real indicative BPL topology and consists of statistically equivalent BPL topologies to the indicative one in terms of the MLE parameters of the applied CASDs (CASD MLEs)

Summary

Introduction

The traditional power grid, which represents an omnipresent widely branched hierarchical network structure and has been designed to facilitate the one-way power delivery from producers to consumers with relatively few one-way communications modalities is transformed into the smart grid, which is based on the traditional power grid infrastructure and may support two types of flows; say, a two-way power and a two-way information flow [1]-[3]. The simulation results of the definition procedure are presented for distribution and transmission BPL networks in [44] and [45], respectively, when the most successful CASDs for given SHM version are adopted In this set of papers, iSHM, mSHM, the definition procedure and the class maps are first applied to OV LV BPL networks.

OV LV MTL Configuration and Indicative OV LV BPL Topologies

OV LV MTL Configuration

The Definition Procedure and Class Maps

Conclusions