Abstract
We develop and analyze a measurevalued fluid model keeping track of parking and charging requirements of electric vehicles in a local distribution grid. We show how this model arises as an accumulation point of an appropriately scaled sequence of stochastic network models. The invariant point of the fluid model encodes the electrical characteristics of the network and the stochastic behavior of its users, and it is characterized, when it exists, by the solution of a socalled Alternating Current Optimal Power Flow (ACOPF) problem.
Original language  English 

Article number  2004.05637 
Number of pages  33 
Journal  arXiv.org, ePrint Archive, Mathematics 
Volume  2020 
Publication status  Published  12 Apr 2020 
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Stochactic processes on interacting networks
Maria Vlasiou (Content manager)
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