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Title: Power of Ensemble Diversity and Randomization for Energy Aggregation

Abstract

We study an ensemble of diverse (inhomogeneous) thermostatically controlled loads aggregated to provide the demand response (DR) services in a district-level energy system. Each load in the ensemble is assumed to be equipped with a random number generator switching heating/cooling on or off with a Poisson rate, r, when the load leaves the comfort zone. Ensemble diversity is modeled through inhomogeneity/disorder in the deterministic dynamics of loads. Approached from the standpoint of statistical physics, the ensemble represents a non-equilibrium system driven away from its natural steady state by the DR. The ability of the ensemble to recover by mixing faster to the steady state after its DR’s use is advantageous. The trade-off between the level of the aggregator’s control, commanding the devices to lower the rate r, and the phase-space-oscillatory deterministic dynamics is analyzed. Then, we study the effect of the load diversity, investigating four different disorder probability distributions (DPDs) ranging from the case of the Gaussian DPD to the case of the uniform with finite support DPD. We show that stronger regularity of the DPD results in faster mixing, which is similar to the Landau damping in plasma physics. Our theoretical analysis is supported by extensive numerical validation.

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Skoltech, Moscow (Russia)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Electricity Delivery and Energy Reliability (OE)
OSTI Identifier:
1511609
Report Number(s):
LA-UR-18-28172
Journal ID: ISSN 2045-2322
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 9; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English

Citation Formats

Metivier, David Maurice Roger, Chertkov, Michael, and Luchnikov, Ilia. Power of Ensemble Diversity and Randomization for Energy Aggregation. United States: N. p., 2019. Web. doi:10.1038/s41598-019-41515-4.
Metivier, David Maurice Roger, Chertkov, Michael, & Luchnikov, Ilia. Power of Ensemble Diversity and Randomization for Energy Aggregation. United States. doi:10.1038/s41598-019-41515-4.
Metivier, David Maurice Roger, Chertkov, Michael, and Luchnikov, Ilia. Thu . "Power of Ensemble Diversity and Randomization for Energy Aggregation". United States. doi:10.1038/s41598-019-41515-4. https://www.osti.gov/servlets/purl/1511609.
@article{osti_1511609,
title = {Power of Ensemble Diversity and Randomization for Energy Aggregation},
author = {Metivier, David Maurice Roger and Chertkov, Michael and Luchnikov, Ilia},
abstractNote = {We study an ensemble of diverse (inhomogeneous) thermostatically controlled loads aggregated to provide the demand response (DR) services in a district-level energy system. Each load in the ensemble is assumed to be equipped with a random number generator switching heating/cooling on or off with a Poisson rate, r, when the load leaves the comfort zone. Ensemble diversity is modeled through inhomogeneity/disorder in the deterministic dynamics of loads. Approached from the standpoint of statistical physics, the ensemble represents a non-equilibrium system driven away from its natural steady state by the DR. The ability of the ensemble to recover by mixing faster to the steady state after its DR’s use is advantageous. The trade-off between the level of the aggregator’s control, commanding the devices to lower the rate r, and the phase-space-oscillatory deterministic dynamics is analyzed. Then, we study the effect of the load diversity, investigating four different disorder probability distributions (DPDs) ranging from the case of the Gaussian DPD to the case of the uniform with finite support DPD. We show that stronger regularity of the DPD results in faster mixing, which is similar to the Landau damping in plasma physics. Our theoretical analysis is supported by extensive numerical validation.},
doi = {10.1038/s41598-019-41515-4},
journal = {Scientific Reports},
issn = {2045-2322},
number = 1,
volume = 9,
place = {United States},
year = {2019},
month = {4}
}

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Works referenced in this record:

Tapping the energy storage potential in electric loads to deliver load following and regulation, with application to wind energy
journal, May 2009