A fuzzy Markov model for scalable reliability analysis of advanced metering infrastructure

Saman A. Zonouz, Robin Berthier, Parisa Haghani

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

The capabilities of smart meters and the potential vulnerabilities they introduce make the Advanced Metering Infrastructure (AMI) a critical components of the Smart Grid. A virus propagating among meters and massively issuing remote disconnect commands could have catastrophic consequences. To understand and assess the risk posed by a given set of meter devices getting compromised, we introduce a novel modeling approach based on fuzzy Markov chain. Markov modeling is one of the main approaches used to analyze the reliability of critical systems. Markov models are usually analyzed using mathematical approaches or Monte-Carlo Simulation. For large and complex systems, traditional Markov models suffer from the state explosion problem and quickly become intractable. The key idea of our approach to solve this issue in the context of the smart grid is to leverage the hierarchical topology of AMI to build a high-level model where components represent Neighborhood Area Networks (NAN) instead of individual meters. The fuzzy Markov formalism enables our solution to take into account gradual component degradation. We propose a Fuzzy Markov Model (FMM) for reliability analysis of a Smart Grid. The reliability of each NAN is represented by a number in [0, 1] which denotes the state of that component in the FMM.We define the transition probabilities between states of the fuzzy Markov model based on the fuzzy time-to-failure value for each NAN. We utilize the Fuzzy Monte Carlo Simulation (FMCS) approach to calculate the fuzzy time-to-failure value of each NAN. Our proposed method enables us to assess the reliability of the entire AMI at the meter level while keeping the model manageable.

Original languageEnglish
Title of host publication2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012
DOIs
StatePublished - May 16 2012
Event2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012 - Washington, DC, United States
Duration: Jan 16 2012Jan 20 2012

Other

Other2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012
CountryUnited States
CityWashington, DC
Period1/16/121/20/12

Fingerprint

Advanced metering infrastructures
Reliability analysis
Smart meters
Viruses
Markov processes
Explosions
Large scale systems
Topology
Degradation

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

Cite this

Zonouz, S. A., Berthier, R., & Haghani, P. (2012). A fuzzy Markov model for scalable reliability analysis of advanced metering infrastructure. In 2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012 [6175770] https://doi.org/10.1109/ISGT.2012.6175770

A fuzzy Markov model for scalable reliability analysis of advanced metering infrastructure. / Zonouz, Saman A.; Berthier, Robin; Haghani, Parisa.

2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012. 2012. 6175770.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zonouz, SA, Berthier, R & Haghani, P 2012, A fuzzy Markov model for scalable reliability analysis of advanced metering infrastructure. in 2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012., 6175770, 2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012, Washington, DC, United States, 1/16/12. https://doi.org/10.1109/ISGT.2012.6175770
Zonouz SA, Berthier R, Haghani P. A fuzzy Markov model for scalable reliability analysis of advanced metering infrastructure. In 2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012. 2012. 6175770 https://doi.org/10.1109/ISGT.2012.6175770
Zonouz, Saman A. ; Berthier, Robin ; Haghani, Parisa. / A fuzzy Markov model for scalable reliability analysis of advanced metering infrastructure. 2012 IEEE PES Innovative Smart Grid Technologies, ISGT 2012. 2012.
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