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Satisfiability of Elastic Demand in the Smart Grid

Authors:
Jean-Yves Le Boudec
Dan-Cristian Tomozei

Keywords: Dynamical Systems, Smart Grids, Elastic Demand, Macroscopic Model, Stability

Abstract:
We study a stochastic model of electricity production and consumption where appliances are adaptive and adjust their consumption to the available production, by delaying their demand and possibly using batteries. The model incorporates production volatility due to renewables, ramp-up and ramp-down time, uncertainty about actual demand versus planned production, delayed and evaporated demand due to adaptation to insufficient supply. We study whether threshold policies stabilize the system. The proofs use Markov chain theory on general state space.

Pages: 163 to 168

Copyright: Copyright (c) IARIA, 2011

Publication date: May 22, 2011

Published in: conference

ISSN: 2308-412X

ISBN: 978-1-61208-136-6

Location: Venice/Mestre, Italy

Dates: from May 22, 2011 to May 27, 2011