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A stability analysis of thermostatically-controlled loads for power system frequency control
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Webborn, Ellen and MacKay, Robert S. (2017) A stability analysis of thermostatically-controlled loads for power system frequency control. Complexity, 2017 . 5031505. doi:10.1155/2017/5031505 ISSN 1076-2787.
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Official URL: https://doi.org/10.1155/2017/5031505
Abstract
Thermostatically-controlled loads (TCLs) are a flexible demand resource with the potential to play a significant role in supporting electricity grid operation. We model a large number of identical TCLs acting autonomously according to a deterministic control scheme to provide frequency response as a population of coupled oscillators. We perform stability analysis to explore the danger of the TCL temperature cycles synchronising: an emergent phenomenon often found in populations of coupled oscillators, and predicted in this type of demand response scheme. We take identical TCLs as it can be assumed to be the worst case. We find that the uniform equilibrium is stable and the fully synchronised periodic cycle is unstable, suggesting that synchronisation might not be as serious a danger as feared. Then detailed simulations are performed to study the effects of a population of frequency-sensitive TCLs acting under real system conditions using historic system data, and the potential reduction in frequency response services required from other providers is determined, for both homogeneous and heterogeneous populations. For homogeneous populations, we find significant synchronisation, but a very small amount of diversity removes the synchronisation effects. In summary, we combine dynamical systems stability analysis with large-scale simulations to offer new insights into TCL switching behaviour.
| Item Type: | Journal Article | ||||||
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| Subjects: | T Technology > TK Electrical engineering. Electronics Nuclear engineering | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Electric power distribution -- Simulation methods, Wind power plants, Photovoltaic power systems | ||||||
| Journal or Publication Title: | Complexity | ||||||
| Publisher: | Hindawi Publishing Corporation | ||||||
| ISSN: | 1076-2787 | ||||||
| Official Date: | 6 December 2017 | ||||||
| Dates: |
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| Volume: | 2017 | ||||||
| Article Number: | 5031505 | ||||||
| DOI: | 10.1155/2017/5031505 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Date of first compliant deposit: | 13 October 2017 | ||||||
| Date of first compliant Open Access: | 26 February 2018 | ||||||
| RIOXX Funder/Project Grant: |
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