IDEAS home Printed from https://ideas.repec.org/a/hin/complx/5031505.html
   My bibliography  Save this article

A Stability Analysis of Thermostatically Controlled Loads for Power System Frequency Control

Author

Listed:
  • Ellen Webborn
  • Robert S. MacKay

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. 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 very minimal 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.

Suggested Citation

  • Ellen Webborn & Robert S. MacKay, 2017. "A Stability Analysis of Thermostatically Controlled Loads for Power System Frequency Control," Complexity, Hindawi, vol. 2017, pages 1-26, December.
    • Handle: RePEc:hin:complx:5031505
    DOI: 10.1155/2017/5031505
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2017/5031505.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/8503/2017/5031505.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2017/5031505?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Pandey, Shashi Kant & Mohanty, Soumya R. & Kishor, Nand, 2013. "A literature survey on load–frequency control for conventional and distribution generation power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 25(C), pages 318-334.
    2. Kremers, Enrique & González de Durana, José Marı´a & Barambones, Oscar, 2013. "Emergent synchronisation properties of a refrigerator demand side management system," Applied Energy, Elsevier, vol. 101(C), pages 709-717.
    3. Cappers, Peter & Goldman, Charles & Kathan, David, 2010. "Demand response in U.S. electricity markets: Empirical evidence," Energy, Elsevier, vol. 35(4), pages 1526-1535.
    4. Fabio Bagagiolo & Dario Bauso, 2014. "Mean-Field Games and Dynamic Demand Management in Power Grids," Dynamic Games and Applications, Springer, vol. 4(2), pages 155-176, June.
    5. Zarnikau, Jay W., 2010. "Demand participation in the restructured Electric Reliability Council of Texas market," Energy, Elsevier, vol. 35(4), pages 1536-1543.
    6. Dehghanpour, Kaveh & Afsharnia, Saeed, 2015. "Electrical demand side contribution to frequency control in power systems: a review on technical aspects," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 1267-1276.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lechl, Michael & Fürmann, Tim & de Meer, Hermann & Weidlich, Anke, 2023. "A review of models for energy system flexibility requirements and potentials using the new FLEXBLOX taxonomy," Renewable and Sustainable Energy Reviews, Elsevier, vol. 184(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tang, Yi & Li, Feng & Chen, Qian & Li, Mengya & Wang, Qi & Ni, Ming & Chen, Gang, 2018. "Frequency prediction method considering demand response aggregate characteristics and control effects," Applied Energy, Elsevier, vol. 229(C), pages 936-944.
    2. Liu, Yingqi, 2017. "Demand response and energy efficiency in the capacity resource procurement: Case studies of forward capacity markets in ISO New England, PJM and Great Britain," Energy Policy, Elsevier, vol. 100(C), pages 271-282.
    3. Burger, Scott P. & Luke, Max, 2017. "Business models for distributed energy resources: A review and empirical analysis," Energy Policy, Elsevier, vol. 109(C), pages 230-248.
    4. Nikzad, Mehdi & Mozafari, Babak & Bashirvand, Mahdi & Solaymani, Soodabeh & Ranjbar, Ali Mohamad, 2012. "Designing time-of-use program based on stochastic security constrained unit commitment considering reliability index," Energy, Elsevier, vol. 41(1), pages 541-548.
    5. Zhou, Kaile & Yang, Shanlin, 2015. "Demand side management in China: The context of China’s power industry reform," Renewable and Sustainable Energy Reviews, Elsevier, vol. 47(C), pages 954-965.
    6. Dehghanpour, Kaveh & Afsharnia, Saeed, 2015. "Electrical demand side contribution to frequency control in power systems: a review on technical aspects," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 1267-1276.
    7. Shan, Kui & Wang, Shengwei & Zhuang, Chaoqun, 2021. "Controlling a large constant speed centrifugal chiller to provide grid frequency regulation: A validation based on onsite tests," Applied Energy, Elsevier, vol. 300(C).
    8. Dong, Jun & Xue, Guiyuan & Li, Rong, 2016. "Demand response in China: Regulations, pilot projects and recommendations – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 59(C), pages 13-27.
    9. Meyabadi, A. Fattahi & Deihimi, M.H., 2017. "A review of demand-side management: Reconsidering theoretical framework," Renewable and Sustainable Energy Reviews, Elsevier, vol. 80(C), pages 367-379.
    10. Narendra Kumar Jena & Subhadra Sahoo & Binod Kumar Sahu & Amiya Kumar Naik & Mohit Bajaj & Stanislav Misak & Vojtech Blazek & Lukas Prokop, 2023. "Impact of a Redox Flow Battery on the Frequency Stability of a Five-Area System Integrated with Renewable Sources," Energies, MDPI, vol. 16(14), pages 1-29, July.
    11. Yunhan Huang & Quanyan Zhu, 2022. "Game-Theoretic Frameworks for Epidemic Spreading and Human Decision-Making: A Review," Dynamic Games and Applications, Springer, vol. 12(1), pages 7-48, March.
    12. Fernández-Guillamón, Ana & Gómez-Lázaro, Emilio & Muljadi, Eduard & Molina-García, Ángel, 2019. "Power systems with high renewable energy sources: A review of inertia and frequency control strategies over time," Renewable and Sustainable Energy Reviews, Elsevier, vol. 115(C).
    13. Peter Warren, 2018. "Demand-side policy: Global evidence base and implementation patterns," Energy & Environment, , vol. 29(5), pages 706-731, August.
    14. Eleftherios Vlahakis & Leonidas Dritsas & George Halikias, 2019. "Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems," Energies, MDPI, vol. 12(14), pages 1-28, July.
    15. Eric L. Prentis, 2014. "Deregulation & Privatization: Texas Electric Power Market Evidence," Review of Business and Finance Studies, The Institute for Business and Finance Research, vol. 5(2), pages 117-126.
    16. Athira M. Mohan & Nader Meskin & Hasan Mehrjerdi, 2020. "A Comprehensive Review of the Cyber-Attacks and Cyber-Security on Load Frequency Control of Power Systems," Energies, MDPI, vol. 13(15), pages 1-33, July.
    17. Dreidy, Mohammad & Mokhlis, H. & Mekhilef, Saad, 2017. "Inertia response and frequency control techniques for renewable energy sources: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 69(C), pages 144-155.
    18. Farboud Khatami & Erfan Goharian, 2022. "Beyond Profitable Shifts to Green Energies, towards Energy Sustainability," Sustainability, MDPI, vol. 14(8), pages 1-28, April.
    19. Eid, Cherrelle & Koliou, Elta & Valles, Mercedes & Reneses, Javier & Hakvoort, Rudi, 2016. "Time-based pricing and electricity demand response: Existing barriers and next steps," Utilities Policy, Elsevier, vol. 40(C), pages 15-25.
    20. Anh-Tuan Tran & Bui Le Ngoc Minh & Van Van Huynh & Phong Thanh Tran & Emmanuel Nduka Amaefule & Van-Duc Phan & Tam Minh Nguyen, 2021. "Load Frequency Regulator in Interconnected Power System Using Second-Order Sliding Mode Control Combined with State Estimator," Energies, MDPI, vol. 14(4), pages 1-17, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:5031505. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.