Skip to main content

Large Neighborhood Search for Temperature Control with Demand Response

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 12333))

Abstract

Demand response is a control problem that optimizes the operation of electrical loads subject to limits on power consumption during times of low power supply or extreme power demand. This paper studies the demand response problem for centrally controlling the space conditioning systems of several buildings connected to a microgrid. The paper develops a mixed integer quadratic programming model that encodes trained deep neural networks that approximate the temperature transition functions. The model is solved using standard branch-and-bound and a large neighborhood search within a mathematical programming solver and a constraint programming solver. Empirical results demonstrate that the large neighborhood search coupled to a constraint programming solver scales substantially better than the other methods.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Achterberg, T., Koch, T., Martin, A.: Branching rules revisited. Oper. Res. Lett. 33(1), 42–54 (2005)

    Article  MathSciNet  Google Scholar 

  2. Anderson, R., Huchette, J., Tjandraatmadja, C., Vielma, J.P.: Strong mixed-integer programming formulations for trained neural networks. In: Lodi, A., Nagarajan, V. (eds.) IPCO 2019. LNCS, vol. 11480, pp. 27–42. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-17953-3_3

    Chapter  MATH  Google Scholar 

  3. Azuatalam, D., Mhanna, S., Chapman, A., Verbič, G.: Optimal HVAC scheduling using phase-change material as a demand response resource. In: 2017 IEEE Innovative Smart Grid Technologies-Asia (ISGT-Asia). IEEE (2017)

    Google Scholar 

  4. Bartolini, A., Lombardi, M., Milano, M., Benini, L.: Neuron constraints to model complex real-world problems. In: Lee, J. (ed.) CP 2011. LNCS, vol. 6876, pp. 115–129. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-23786-7_11

    Chapter  Google Scholar 

  5. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)

    Book  Google Scholar 

  6. Chassin, D.P., Fuller, J.C., Djilali, N.: GridLAB-D: an agent-based simulation framework for smart grids. J. Appl. Math. 2014 (2014)

    Google Scholar 

  7. Cybenko, G.: Approximation by superpositions of a sigmoidal function. Math. Control Signals Syst. 2(4), 303–314 (1989). https://doi.org/10.1007/BF02551274

  8. Feydy, T., Stuckey, P.J.: Lazy clause generation reengineered. In: Gent, I.P. (ed.) CP 2009. LNCS, vol. 5732, pp. 352–366. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-04244-7_29

    Chapter  Google Scholar 

  9. FICO: MIP formulations and linearizations (2009). https://www.fico.com/en/resource-download-file/3217

  10. Goodfellow, I., Bengio, Y., Courville, A.: Deep Learning. MIT Press, Cambridge (2016). http://www.deeplearningbook.org

  11. Kingma, D.P., Ba, J.: Adam: a method for stochastic optimization. In: ICLR 2015 (2015)

    Google Scholar 

  12. Kohlhepp, P., Harb, H., Wolisz, H., Waczowicz, S., Müller, D., Hagenmeyer, V.: Large-scale grid integration of residential thermal energy storages as demand-side flexibility resource: a review of international field studies. Renew. Sustain. Energy Rev. 101, 527–547 (2019)

    Article  Google Scholar 

  13. Motegi, N., Piette, M.A., Watson, D.S., Kiliccote, S., Xu, P.: Introduction to commercial building control strategies and techniques for demand response. Technical report California Energy Commission, PIER (2006)

    Google Scholar 

  14. de Nijs, F., Stuckey, P.J.: Risk-aware conditional replanning for globally constrained multi-agent sequential decision making. In: Proceedings of the 19th International Conference on Autonomous Agents and Multiagent Systems. IFAAMAS (2020)

    Google Scholar 

  15. Pérez-Lombard, L., Ortiz, J., Pout, C.: A review on buildings energy consumption information. Energy Build. 40(3), 394–398 (2008)

    Article  Google Scholar 

  16. Pisinger, D., Røpke, S.: Large neighborhood search. In: Gendreau, M., Potvin, J.Y. (eds.) Handbook of metaheuristics, chapter 13, pp. 399–419. Springer (2010). https://doi.org/10.1007/978-1-4419-1665-5_13

  17. Pratt, R.G., Taylor, Z.T.: Development and testing of an equivalent thermal parameter model of commercial buildings from time-series end-use data. Technical report Pacific Northwest Laboratory, Richland, Washington (1994)

    Google Scholar 

  18. Say, B., Wu, G., Zhou, Y.Q., Sanner, S.: Nonlinear hybrid planning with deep net learned transition models and mixed-integer linear programming. In: Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, IJCAI-17, pp. 750–756 (2017)

    Google Scholar 

  19. Shaw, P.: Using constraint programming and local search methods to solve vehicle routing problems. In: Maher, M., Puget, J.-F. (eds.) CP 1998. LNCS, vol. 1520, pp. 417–431. Springer, Heidelberg (1998). https://doi.org/10.1007/3-540-49481-2_30

    Chapter  Google Scholar 

  20. Vázquez-Canteli, J.R., Nagy, Z.: Reinforcement learning for demand response: A review of algorithms and modeling techniques. Appl. Energy 235, 1072–1089 (2019)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Edward Lam .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Lam, E., de Nijs, F., Stuckey, P.J., Azuatalam, D., Liebman, A. (2020). Large Neighborhood Search for Temperature Control with Demand Response. In: Simonis, H. (eds) Principles and Practice of Constraint Programming. CP 2020. Lecture Notes in Computer Science(), vol 12333. Springer, Cham. https://doi.org/10.1007/978-3-030-58475-7_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-58475-7_35

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-58474-0

  • Online ISBN: 978-3-030-58475-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics