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Statistical Model Checking for Distributed Probabilistic-Control Hybrid Automata with Smart Grid Applications

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Formal Methods and Software Engineering (ICFEM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6991))

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Abstract

The power industry is currently moving towards a more dynamical, intelligent power grid. This Smart Grid is still in its infancy and a formal evaluation of the expensive technologies and ideas on the table is necessary before committing to a full investment. In this paper, we argue that a good model for the Smart Grid must match its basic properties: it must be hybrid (both evolve over time, and perform control/computation), distributed (multiple concurrently executing entities), and allow for asynchronous communication and stochastic behaviour (to accurately model real-world power consumption). We propose Distributed Probabilistic-Control Hybrid Automata (Dpcha) as a model for this purpose, and extend Bounded LTL to Quantified Bounded LTL in order to adapt and apply existing statistical model-checking techniques. We provide an implementation of a framework for developing and verifying DPCHAs. Finally, we conduct a case study for Smart Grid communications analysis.

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Martins, J., Platzer, A., Leite, J. (2011). Statistical Model Checking for Distributed Probabilistic-Control Hybrid Automata with Smart Grid Applications. In: Qin, S., Qiu, Z. (eds) Formal Methods and Software Engineering. ICFEM 2011. Lecture Notes in Computer Science, vol 6991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24559-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-24559-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24558-9

  • Online ISBN: 978-3-642-24559-6

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