Differentially Private Smart Metering: Implementation, Analytics, and Billing

Smart power grids offer to revolutionize power distribution by sharing granular power usage data, though this same data sharing can reveal a great deal about users, and there are serious privacy concerns for customers. In this paper, we address these concerns using differential privacy. Differential privacy is a statistical notion of privacy that adds noise to provide privacy guarantees. One privacy threat is the aggregation of time series data, and we therefore apply a trajectory-level form of differential privacy to guard against such privacy threats. In particular, we consider input-perturbation privacy, which adds noise directly to sensitive data streams before sharing them. We apply it in this work to provide privacy guarantees on an individual basis. We then address the impact of privacy upon two key grid stakeholders: the utility and the accuracy of its analytics of interest, as well as customers and the financial impact upon their utility bills. Both impacts are shown to be modest, even with strong privacy guarantees. Simulation results are provided using actual power usage data, demonstrating the viability of this approach in practice.

[1]  Georgios Kalogridis,et al.  Smart Grid Privacy via Anonymization of Smart Metering Data , 2010, 2010 First IEEE International Conference on Smart Grid Communications.

[2]  L. S. Nelson,et al.  The Folded Normal Distribution , 1961 .

[3]  Fernando Pérez-González,et al.  Privacy-preserving data aggregation in smart metering systems: an overview , 2013, IEEE Signal Processing Magazine.

[4]  Alexis Kwasinski,et al.  Experimental and data collection methods for a large-scale smart grid deployment: Methods and first results , 2014 .

[5]  George J. Pappas,et al.  Differentially Private Filtering , 2012, IEEE Transactions on Automatic Control.

[6]  Feller William,et al.  An Introduction To Probability Theory And Its Applications , 1950 .

[7]  Khosrow Moslehi,et al.  A Reliability Perspective of the Smart Grid , 2010, IEEE Transactions on Smart Grid.

[8]  David P. Varodayan,et al.  Smart meter privacy using a rechargeable battery: Minimizing the rate of information leakage , 2011, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[9]  Aaron Roth,et al.  The Algorithmic Foundations of Differential Privacy , 2014, Found. Trends Theor. Comput. Sci..

[10]  Peng Liu,et al.  Secure Information Aggregation for Smart Grids Using Homomorphic Encryption , 2010, 2010 First IEEE International Conference on Smart Grid Communications.

[11]  Imrich Chlamtac,et al.  Smart Meter Data Privacy: A Survey , 2017, IEEE Communications Surveys & Tutorials.

[12]  H. Vincent Poor,et al.  Smart Meter Privacy: A Theoretical Framework , 2013, IEEE Transactions on Smart Grid.

[13]  Magnus Egerstedt,et al.  Cloud-Enabled Multi-Agent Optimization with Constraints and Differentially Private States , 2015 .

[14]  George Danezis,et al.  Differentially Private Billing with Rebates , 2011 .

[15]  Giacomo Verticale,et al.  Privacy-preserving smart metering with multiple data Consumers , 2013, Comput. Networks.

[16]  S. Chatterjee Superconcentration and Related Topics , 2014 .

[17]  Dominik Engel,et al.  Differential privacy for real smart metering data , 2017, Computer Science - Research and Development.

[18]  Shaojie Tang,et al.  Smoothing the energy consumption: Peak demand reduction in smart grid , 2013, 2013 Proceedings IEEE INFOCOM.

[19]  Austin Jones,et al.  Privacy in Feedback: The Differentially Private LQG , 2017, 2018 Annual American Control Conference (ACC).

[20]  I. Shevtsova On the absolute constants in the Berry-Esseen-type inequalities , 2011, 1111.6554.

[21]  Claude Castelluccia,et al.  I Have a DREAM! (DiffeRentially privatE smArt Metering) , 2011, Information Hiding.

[22]  Jing Zhao,et al.  Achieving differential privacy of data disclosure in the smart grid , 2014, IEEE INFOCOM 2014 - IEEE Conference on Computer Communications.

[23]  Seul-Ki Kim,et al.  Impact of Smart Grid Technologies on Peak Load to 2050 , 2011 .

[24]  Henrik Sandberg,et al.  Differentially private state estimation in distribution networks with smart meters , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).