Modeling Populations of Thermostatic Loads with Switching Rate Actuation

Luminita Cristiana Totu; Rafal Wisniewski; John-Josef Leth

doi:10.4204/EPTCS.174.2

Modeling Populations of Thermostatic Loads with Switching Rate Actuation

Luminita Cristiana Totu, Rafal Wisniewski, John-Josef Leth

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

Abstract

We model thermostatic devices using a stochastic hybrid description, and introduce an external actuation mechanism that creates random switch events in the discrete dynamics. We then conjecture the form of the Fokker-Planck equation and successfully verify it numerically using Monte Carlo simulations. The actuation mechanism and subsequent modeling result are relevant for power system operation.

Original language	English
Title of host publication	Proceedings 4th Workshop on Hybrid Autonomous Systems (HAS 2014)
Editors	Manuela Bujorianu, Rafael Wisniewski
Volume	174
Publisher	EPTCS
Publication date	22 Jan 2015
Pages	13-21
DOIs	https://doi.org/10.4204/EPTCS.174.2
Publication status	Published - 22 Jan 2015
Event	4th Workshop on Hybrid Autonomous Systems (HAS 2014) - Grenoble, France Duration: 12 Apr 2014 → 13 Apr 2014

Conference

Conference	4th Workshop on Hybrid Autonomous Systems (HAS 2014)
Country/Territory	France
City	Grenoble
Period	12/04/2014 → 13/04/2014

Series	Electronic Proceedings in Theoretical Computer Science
ISSN	2075-2180

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10.4204/EPTCS.174.2

http://eptcs.web.cse.unsw.edu.au/paper.cgi?HAS2014.2

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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 = "Modeling Populations of Thermostatic Loads with Switching Rate Actuation",

abstract = "We model thermostatic devices using a stochastic hybrid description, and introduce an external actuation mechanism that creates random switch events in the discrete dynamics. We then conjecture the form of the Fokker-Planck equation and successfully verify it numerically using Monte Carlo simulations. The actuation mechanism and subsequent modeling result are relevant for power system operation.",

author = "Totu, {Luminita Cristiana} and Rafal Wisniewski and John-Josef Leth",

year = "2015",

month = jan,

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doi = "10.4204/EPTCS.174.2",

language = "English",

volume = "174",

series = "Electronic Proceedings in Theoretical Computer Science",

publisher = "EPTCS",

pages = "13--21",

editor = "Manuela Bujorianu and Rafael Wisniewski",

booktitle = "Proceedings 4th Workshop on Hybrid Autonomous Systems (HAS 2014)",

note = "4th Workshop on Hybrid Autonomous Systems (HAS 2014) ; Conference date: 12-04-2014 Through 13-04-2014",

}

Totu, LC, Wisniewski, R & Leth, J-J 2015, Modeling Populations of Thermostatic Loads with Switching Rate Actuation. in M Bujorianu & R Wisniewski (eds), Proceedings 4th Workshop on Hybrid Autonomous Systems (HAS 2014). vol. 174, EPTCS, Electronic Proceedings in Theoretical Computer Science, pp. 13-21, 4th Workshop on Hybrid Autonomous Systems (HAS 2014), Grenoble, France, 12/04/2014. https://doi.org/10.4204/EPTCS.174.2

Modeling Populations of Thermostatic Loads with Switching Rate Actuation. / Totu, Luminita Cristiana; Wisniewski, Rafal ; Leth, John-Josef.
Proceedings 4th Workshop on Hybrid Autonomous Systems (HAS 2014). ed. / Manuela Bujorianu; Rafael Wisniewski. Vol. 174 EPTCS, 2015. p. 13-21 (Electronic Proceedings in Theoretical Computer Science).

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

TY - GEN

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AU - Totu, Luminita Cristiana

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AU - Leth, John-Josef

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N2 - We model thermostatic devices using a stochastic hybrid description, and introduce an external actuation mechanism that creates random switch events in the discrete dynamics. We then conjecture the form of the Fokker-Planck equation and successfully verify it numerically using Monte Carlo simulations. The actuation mechanism and subsequent modeling result are relevant for power system operation.

AB - We model thermostatic devices using a stochastic hybrid description, and introduce an external actuation mechanism that creates random switch events in the discrete dynamics. We then conjecture the form of the Fokker-Planck equation and successfully verify it numerically using Monte Carlo simulations. The actuation mechanism and subsequent modeling result are relevant for power system operation.

U2 - 10.4204/EPTCS.174.2

DO - 10.4204/EPTCS.174.2

M3 - Article in proceeding

VL - 174

T3 - Electronic Proceedings in Theoretical Computer Science

SP - 13

EP - 21

BT - Proceedings 4th Workshop on Hybrid Autonomous Systems (HAS 2014)

A2 - Bujorianu, Manuela

A2 - Wisniewski, Rafael

PB - EPTCS

T2 - 4th Workshop on Hybrid Autonomous Systems (HAS 2014)

Y2 - 12 April 2014 through 13 April 2014

ER -

Modeling Populations of Thermostatic Loads with Switching Rate Actuation

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