Compositional Models for Power Systems

John S. Nolan
(University of Maryland)
Blake S. Pollard
(National Institute of Standards and Technology)
Spencer Breiner
(National Institute of Standards and Technology)
Dhananjay Anand
(National Institute of Standards and Technology)
Eswaran Subrahmanian
(Carnegie Mellon University)

The problem of integrating multiple overlapping models and data is pervasive in engineering, though often implicit. We consider this issue of model management in the context of the electrical power grid as it transitions towards a modern 'Smart Grid.' We present a methodology for specifying, managing, and reasoning within multiple models of distributed energy resources (DERs), entities which produce, consume, or store power, using categorical databases and symmetric monoidal categories. Considering the problem of distributing power on the grid in the presence of DERs, we show how to connect a generic problem specification with implementation-specific numerical solvers using the paradigm of categorical databases.

In John Baez and Bob Coecke: Proceedings Applied Category Theory 2019 (ACT 2019), University of Oxford, UK, 15-19 July 2019, Electronic Proceedings in Theoretical Computer Science 323, pp. 149–160.
Published: 15th September 2020.

ArXived at: http://dx.doi.org/10.4204/EPTCS.323.10 bibtex PDF
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