Low Rank Parity Check Codes and their application in Power Line Communications smart grid networks

Building real Smart Metering and Smart Grid networks is very expensive and time-consuming and also it is impossible to install different technologies in the same environment only for comparison. Therefore, simulation and experimental pilot measurements are an easy, economical, and time-affordable solution for a first comparison and evaluation of different technologies and solutions. The local area networks (LAN) are the core of Smart Metering and Smart Grid networks. The two predominant technologies are mostly sufficient for LAN networks, Power Line Communication (PLC), and radio frequency (RF) solutions. For PLC it is hard to allow prediction of the behaviour. Performance assessment for point-to-point connection is easy, but for complex PLC networks with repeaters it is quite expensive. Therefore, a simulation is an easy, fast, and cheap solution for understanding the grid configuration, influence of particular topological components, and performance possibilities. Simulation results can, thus, provide material for the design of a telecommunication infrastructure for Smart Metering. This paper presents results of such a simulation study. It is based on realistic PLC channel model implementation in Network Simulator 3, our modification and extension of this implementation for our use case scenario. It uses Shannon’s formula to calculate theoretical maximum channel capacity. In particular, it provides channel capacity and achievable distances of broadband PLC (BB-PLC). In this article we also exploit our novel idea of simple performance assessment of broadband PLC communication via simulation. It is supposed to be used to understand, evaluate, and test the grid configuration before deployment.

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Low-rank parity-check codes over Galois rings

Designs Codes and Cryptography ◽

10.1007/s10623-020-00825-9 ◽

2020 ◽

Author(s):

Julian Renner ◽

Alessandro Neri ◽

Sven Puchinger

Keyword(s):

Finite Fields ◽

Failure Probability ◽

Low Rank ◽

Galois Rings ◽

Parity Check ◽

Gabidulin Codes ◽

Rank Metric Codes ◽

Small Failure Probability ◽

Free Rank ◽

Parity Check Codes

AbstractLow-rank parity-check (LRPC) codes are rank-metric codes over finite fields, which have been proposed by Gaborit et al. (Proceedings of the workshop on coding and cryptography WCC, vol 2013, 2013) for cryptographic applications. Inspired by a recent adaption of Gabidulin codes to certain finite rings by Kamche et al. (IEEE Trans Inf Theory 65(12):7718–7735, 2019), we define and study LRPC codes over Galois rings—a wide class of finite commutative rings. We give a decoding algorithm similar to Gaborit et al.’s decoder, based on simple linear-algebraic operations. We derive an upper bound on the failure probability of the decoder, which is significantly more involved than in the case of finite fields. The bound depends only on the rank of an error, i.e., is independent of its free rank. Further, we analyze the complexity of the decoder. We obtain that there is a class of LRPC codes over a Galois ring that can decode roughly the same number of errors as a Gabidulin code with the same code parameters, but faster than the currently best decoder for Gabidulin codes. However, the price that one needs to pay is a small failure probability, which we can bound from above.

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Power Line Communications for Smart Grid Applications

Journal of Electrical and Computer Engineering ◽

10.1155/2013/712376 ◽

2013 ◽

Vol 2013 ◽

pp. 1-16 ◽

Cited By ~ 41

Author(s):

Lars Torsten Berger ◽

Andreas Schwager ◽

J. Joaquín Escudero-Garzás

Keyword(s):

Smart Grid ◽

Data Transmission ◽

Renewable Energy Sources ◽

Power Line ◽

Energy Sources ◽

Power Line Communication ◽

Electricity Supply ◽

Power Line Communications ◽

Grid Applications ◽

Electricity Infrastructure

Power line communication, that is, using the electricity infrastructure for data transmission, is experiencing a renaissance in the context ofSmart Grid. Smart Grid objectives include the integration of intermittent renewable energy sources into the electricity supply chain, securing reliable electricity delivery, and using the existing electrical infrastructure more efficiently. This paper surveyspower line communications(PLCs) in the context of Smart Grid. The specificationsG3-PLC,PRIME,HomePlug Green PHY, andHomePlug AV2, and the standardsIEEE 1901/1901.2andITU-T G.hn/G.hnemare discussed.

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