
Differential‐privacy preserving optimal power flow in smart grid
Author(s) -
Yang Zequ,
Cheng Peng,
Chen Jiming
Publication year - 2017
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2017.0141
Subject(s) - smart grid , differential privacy , computer science , leverage (statistics) , smart meter , power flow , grid , electricity pricing , demand response , sensitivity (control systems) , electric power system , computer security , mathematical optimization , electricity , power (physics) , data mining , electricity market , electrical engineering , engineering , artificial intelligence , mathematics , electronic engineering , physics , geometry , quantum mechanics
In smart grid, the smart meters improve the grids’ efficiency but imply the sensitive residential information. Hence, how to prevent privacy leakage of smart meter data has drawn lots of researchers’ attentions. Yet, it is non‐trivial to quantify the relation between privacy protection behaviours and system utility loss. To this end, the authors leverage the notion of differential privacy (DP) to measure the privacy‐protection strength, under the framework of optimal power flow (OPF). Specifically, once the noise is injected to hide the actual demand, the solutions of OPF problem are probably affected, which undermine the grid utility. In this study, the authors are the first quantitatively investigating DP preserving OPF problem. Starting with re‐modelling the noise‐injected OPF problem, the authors rigorously prove OPF solution's sensitivity with respect to the uncertainty of demand. Moreover, aiming at OPF‐based pricing mechanism, locational marginal pricing (LMP), the respective privacy‐protection's contribution on LMPs is explicitly expressed. Subsequently, based on the extensive experiments, it is illustrated that the quantitative correlation between the privacy‐protection strength and the gird system performance. Furthermore, by combining the grid topology and privacy‐protection strength, a novel billing system to fairly charge the extra payment to subsidise the privacy‐insensitive customers is proposed.