Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast

Luminita Cristiana Totu; Rafal Wisniewski

doi:10.3182/20140824-6-ZA-1003.02439

Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast

Luminita Cristiana Totu, Rafal Wisniewski

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

9 Citations (Scopus)

363 Downloads (Pure)

Abstract

Demand response is an important Smart Grid concept that aims at facilitating the integration of volatile energy resources into the electricity grid. This paper considers the problem of managing large populations of thermostat-based devices with on/off operation. The objective is to enable demand response capabilities within the intrinsic flexibility of the population. A temperature distribution model based on Fokker-Planck partial differential equations is used to capture the behavior of the population. To ensure probability conservation and high accuracy of the numerical solution, Finite Volume Method is used to spatially discretize these equations. Next, a broadcast strategy with two switching-fraction signals is proposed for actuating the population. This is applied in an open-loop scenario for tracking a power reference by running an optimization with a multilinear objective.

Original language	English
Title of host publication	Proceedings of the 19th IFAC World Congress, 2014
Volume	19
Publisher	IFAC Publisher
Publication date	2014
Edition	1
Pages	9956-9961
ISBN (Electronic)	978-3-902823-62-5
DOIs	https://doi.org/10.3182/20140824-6-ZA-1003.02439
Publication status	Published - 2014
Event	19th IFAC World Congress 2014 - Cape Town, South Africa Duration: 24 Aug 2014 → 29 Aug 2014

Conference

Conference	19th IFAC World Congress 2014
Country/Territory	South Africa
City	Cape Town
Period	24/08/2014 → 29/08/2014

Series	Proceedings of the 19th IFAC World Congress, 2014

Keywords

Smart grids
thermostatic loads
stochastic hybrid systems
optimization

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10.3182/20140824-6-ZA-1003.02439

FINAL--paper_after_reviewAccepted author manuscript, 668 KB

http://www.ifac-papersonline.net/Detailed/68421.html

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Smart and Cool
Wisniewski, R., Bendtsen, J. D., Stoustrup, J., Leth, J., Juelsgaard, M., Totu, L. C. & Shafiei, S. E.
15/08/2011 → 31/12/2014
Project: Research

Cite this

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title = "Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast",

abstract = "Demand response is an important Smart Grid concept that aims at facilitating the integration of volatile energy resources into the electricity grid. This paper considers the problem of managing large populations of thermostat-based devices with on/off operation. The objective is to enable demand response capabilities within the intrinsic flexibility of the population. A temperature distribution model based on Fokker-Planck partial differential equations is used to capture the behavior of the population. To ensure probability conservation and high accuracy of the numerical solution, Finite Volume Method is used to spatially discretize these equations. Next, a broadcast strategy with two switching-fraction signals is proposed for actuating the population. This is applied in an open-loop scenario for tracking a power reference by running an optimization with a multilinear objective.",

keywords = " Smart grids, thermostatic loads, stochastic hybrid systems, optimization",

author = "Totu, {Luminita Cristiana} and Rafal Wisniewski",

year = "2014",

doi = "10.3182/20140824-6-ZA-1003.02439",

language = "English",

volume = "19",

series = "Proceedings of the 19th IFAC World Congress, 2014",

pages = "9956--9961",

booktitle = "Proceedings of the 19th IFAC World Congress, 2014",

publisher = "IFAC Publisher",

edition = "1",

note = "19th IFAC World Congress 2014 ; Conference date: 24-08-2014 Through 29-08-2014",

}

Totu, LC & Wisniewski, R 2014, Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast. in Proceedings of the 19th IFAC World Congress, 2014 . 1 edn, vol. 19, IFAC Publisher, Proceedings of the 19th IFAC World Congress, 2014, pp. 9956-9961, 19th IFAC World Congress 2014, Cape Town, South Africa, 24/08/2014. https://doi.org/10.3182/20140824-6-ZA-1003.02439

Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast. / Totu, Luminita Cristiana; Wisniewski, Rafal.
Proceedings of the 19th IFAC World Congress, 2014 . Vol. 19 1. ed. IFAC Publisher, 2014. p. 9956-9961 (Proceedings of the 19th IFAC World Congress, 2014).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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AU - Totu, Luminita Cristiana

AU - Wisniewski, Rafal

PY - 2014

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N2 - Demand response is an important Smart Grid concept that aims at facilitating the integration of volatile energy resources into the electricity grid. This paper considers the problem of managing large populations of thermostat-based devices with on/off operation. The objective is to enable demand response capabilities within the intrinsic flexibility of the population. A temperature distribution model based on Fokker-Planck partial differential equations is used to capture the behavior of the population. To ensure probability conservation and high accuracy of the numerical solution, Finite Volume Method is used to spatially discretize these equations. Next, a broadcast strategy with two switching-fraction signals is proposed for actuating the population. This is applied in an open-loop scenario for tracking a power reference by running an optimization with a multilinear objective.

AB - Demand response is an important Smart Grid concept that aims at facilitating the integration of volatile energy resources into the electricity grid. This paper considers the problem of managing large populations of thermostat-based devices with on/off operation. The objective is to enable demand response capabilities within the intrinsic flexibility of the population. A temperature distribution model based on Fokker-Planck partial differential equations is used to capture the behavior of the population. To ensure probability conservation and high accuracy of the numerical solution, Finite Volume Method is used to spatially discretize these equations. Next, a broadcast strategy with two switching-fraction signals is proposed for actuating the population. This is applied in an open-loop scenario for tracking a power reference by running an optimization with a multilinear objective.

KW - Smart grids

KW - thermostatic loads

KW - stochastic hybrid systems

KW - optimization

U2 - 10.3182/20140824-6-ZA-1003.02439

DO - 10.3182/20140824-6-ZA-1003.02439

M3 - Article in proceeding

VL - 19

T3 - Proceedings of the 19th IFAC World Congress, 2014

SP - 9956

EP - 9961

BT - Proceedings of the 19th IFAC World Congress, 2014

PB - IFAC Publisher

T2 - 19th IFAC World Congress 2014

Y2 - 24 August 2014 through 29 August 2014

ER -

Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast

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