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

Statistical Channel Modeling of Overhead Low Voltage Broadband over Power Lines (OV LV BPL) Networks – Part 2: The Numerical Results of Class Map Footprints of Real OV LV BPL Topologies, Branch Line Faults and Hook Style Energy Thefts

“…In accordance with the iSHM definition [14], [15], the BPMN diagram of iSHM, which describes its operation, is given in Fig. 2(a) of [1]. As the CASD MLEs of iSHM are concerned, these are computed at the MLE computation module of Phase C of the iSHM BPMN diagram thus affecting all the remaining iSHM operation.…”

“…In SG applications, ICT is their key aspect while among the available ICT solutions, BPL technology presents some natural advantages that render the related BPL networks as the most suitable implementation for SG applications [2]. However, BPL networks operate across a hostile medium for communications since transmission and distribution power grid infrastructure and equipment have been designed to deliver power rather than information [1], [3]- [7].…”

“…The interaction results of the deterministic framework, which is represented by the DHM [3], [4], [8]- [13], and the recently proposed statistical framework, which is characterized by the SHM operation [14]- [19], for the OV LV BPL networks are presented in this paper with respect to the class maps and the footprint area concept that have been first presented for OV LV BPL networks in [1]. In detail, the numerical results of the application of iSHM and mSHM are presented while the performance of different CASDs among the available ones of iSHM and mSHM is here assessed.…”

“…Then, the definition procedure is going to be applied in OV LV BPL networks enriching the corresponding topology classes with topology subclasses whose respective virtual indicative OV LV BPL topologies are statistically defined in terms of the applied SHM version and its corresponding successful CASD parameters (i.e., MLEs and CDF for iSHM and mSHM CASDs, respectively). On the basis of the most successful CASDs of iSHM and mSHM, the definition procedure gives as output the class maps of OV LV BPL networks that illustrate the borders between the BPL topology classes and also corresponds each CASD parameter pair to its BPL topology subclass average capacity for given power grid type, SHM version, CASD, coupling scheme, IPSD limits and noise levels [1]. By taking into account OV LV BPL topologies, the numerical results concerning the footprints on the class maps, which have been theoretically defined in [1] and may allow the impact investigation of critical events of the operation of OV LV power grids, are here presented, namely: (i) The footprint of the real OV LV BPL topologies is going to first be illustrated on the class maps thus separating the real OV LV BPL topologies from the virtual ones of class maps by exploiting the TIM database [20]; (ii) for given real indicative OV LV BPL topology, the footprint of all the corresponding OV LV BPL topologies with a sole branch line fault is going to be shown on class maps by exploiting the FIIM database [20]; and (iii) for given real indicative OV LV BPL topology, the footprint of all the corresponding OV LV BPL topologies with a single hook for energy theft are going to be demonstrated on class maps by exploiting the HS-DET method [21].…”

“…

In [1], the theoretical framework for the interoperability of DHM, iSHM, mSHM, the definition procedure and the class maps has been first presented for OV LV BPL networks. But the main interest of the first paper has focused on the theory of the OV LV BPL topology footprints of TIM, FIIM and HS-DET method on the class maps.

…”