Skip to main content

Predictive Smart Grid Control with Exact Aggregated Power Constraints

  • Chapter
Smart Power Grids 2011

Part of the book series: Power Systems ((POWSYS))

Abstract

This chapter deals with hierarchical model predictive control (MPC) of smart grid systems. The design consists of a high-level MPC controller, a second level of so-called aggregators, which reduces the computational and communicationrelated load on the high-level control, and a lower level of autonomous consumers.

The control system is tasked with balancing electric power production and consumption within the smart grid, and makes active use of the flexibility of a large number of power producing and/or power consuming units. The load variations on the grid arise on one hand from varying consumption, and on the other hand from natural variations in power production from e.g. wind turbines.

The consumers represent energy-consuming units such as heat pumps, car batteries etc. These units obviously have limits on how much power and energy they can consume at any given time, which impose constraints on the optimisation taking place at the higher levels of the control system. This chapter presents a novel method for computing the aggregated constraints without approximation, yielding better utilisation of the units when the load variations are large.

The method is demonstrated through simulation of a smart grid containing consumers with very different characteristics. It is demonstrated how the novel aggregation method makes it possible for the top level controller to treat all these as one big consumer, significantly simplifying the optimisation.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Banakar, H., Luo, C., Ooi, B.: Impacts of Wind Power Minute-to-Minute Variations on Power System Operation. IEEE Trans. Power Syst. 23, 150–160 (2008)

    Article  Google Scholar 

  2. Cai, J.: Control of Refrigeration Systems for Trade-off between Energy Consumption and Food Quality Loss. PhD thesis, Aalborg University (2008)

    Google Scholar 

  3. Energi, D.: Smart grid i Danmark. Energinet.dk (2010)

    Google Scholar 

  4. Gritzmann, P., Sturmfels, B.: Minkowski addition of polytopes: computational complexity and applications to Gröbner bases. SIAM J. Discrete Math. 6, 246–269 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  5. Grünbaum: Convex Polytopes, 2nd edn. Springer, Heidelberg (2003)

    Book  Google Scholar 

  6. Jarventausta, P., Repo, S., Rautiainen, A., Partanen, J.: Smart grid power system control in distributed generation environment. Annual Rev. Control 34, 277–286 (2010)

    Article  Google Scholar 

  7. Kvasnica, M., Grieder, P., Baotic, M.: Multi-Parametric Toolbox (MPT) (2004), http://control.ee.ethz.ch/~mpt/ (accessed April 01, 2011)

  8. Maciejowski, J.: Predictive Control with Constraints. Prentice-Hall, Englewood Cliffs (2002)

    Google Scholar 

  9. Mohsenian-Rad, A., Wong, W., Jatskevich, J., Schober, R., Leon-Garcia, A.: Autonomous demand-side management based on game-theoretic energy consumption scheduling for the future smart grid. IEEE Trans. Smart Grid 1, 320–331 (2010)

    Article  Google Scholar 

  10. Moslehi, K., Kumar, R.: A reliability perspective of the smart grid. IEEE Trans. Smart Grid 1, 57–64 (2010)

    Article  Google Scholar 

  11. Picasso, B., De Vito, D., Scattolini, R., Colaneri, P.: An MPC approach to the design of two-layer hierarchical control systems. Automatica 46, 823–831 (2010)

    Article  MATH  Google Scholar 

  12. Rossiter, J.: Model-based predictive control. CRC Press, Boca Raton (2003)

    Google Scholar 

  13. Scattolini, R.: Architectures for distributed and hierarchical model predictive control – a review. J. Process Control 19, 723–731 (2009)

    Article  Google Scholar 

  14. Trangbaek, K., Bendtsen, J., Stoustrup, J.: Hierarchical model predictive control for resource distribution. In: Proc. of 49th IEEE Conf Decision and Control (2010)

    Google Scholar 

  15. Wade, N., Taylor, P., Lang, P., Jones, P.: Evaluating the benefits of an electrical energy storage system in a future smart grid. Energy Policy 38, 7180–7188 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Klaus Trangbaek .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Trangbaek, K., Pedersen, M., Bendtsen, J., Stoustrup, J. (2012). Predictive Smart Grid Control with Exact Aggregated Power Constraints. In: Keyhani, A., Marwali, M. (eds) Smart Power Grids 2011. Power Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21578-0_21

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21578-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21577-3

  • Online ISBN: 978-3-642-21578-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics