Compositional models for power systems

Published

September 8, 2019

Author(s)

Dhananjay Anand, Blake S. Pollard, Spencer J. Breiner, John S. Nolan, Eswaran Subrahmanian

Abstract

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 from centralized generation with unidirectional power flow towards a more decentralized `Smart Grid.' Considering the problem of distributing power on the grid, we show how to connect a generic problem specification with implementation specific numerical solvers using the paradigm of categorical databases. Zooming in to the device level, we define a symmetric monoidal category of distributed energy resources (DERs), i.e. entities which produce, consume, or store power. The tensor product in this category gives a way of aggregating such devices and their feasible operating regimes.

Proceedings Title

COMPOSITIONALITY - Special issue on Category Theory

Conference Dates

July 15-19, 2019

Conference Location

Oxford

Conference Title

Applied Category Theory

Pub Type

Conferences

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Keywords

power systems, compositionality, solvers

Citation

Anand, D. , Pollard, B. , Breiner, S. , Nolan, J. and Subrahmanian, E. (2019), Compositional models for power systems, COMPOSITIONALITY - Special issue on Category Theory, Oxford, -1, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=928184 (Accessed October 9, 2025)