Skip to main content

A Fuzzy Bilevel Model and a PSO-Based Algorithm for Day-Ahead Electricity Market Strategy Making

  • Conference paper
Knowledge-Based and Intelligent Information and Engineering Systems (KES 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5712))

Abstract

This paper applies bilevel optimization techniques and fuzzy set theory to model and support bidding strategy making in electricity markets. By analyzing the strategic bidding behavior of generating companies, we build up a fuzzy bilevel optimization model for day-ahead electricity market strategy making. In this model, each generating company chooses the bids to maximize the individual profit. A market operator solves an optimization problem based on the minimization purchase electricity fare to determine the output power for each unit and uniform marginal price. Then, a particle swarm optimization (PSO)-based algorithm is developed for solving problems defined by this model.

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 129.00
Price excludes VAT (USA)
  • Available as 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zhang, G., Lu, J., Gao, Y.: An algorithm for fuzzy multi-objective multi-follower partial cooperative bilevel programming. International Journal of Intelligent & Fuzzy Systems 19, 303–319 (2008)

    MATH  Google Scholar 

  2. Zhang, G., Lu, J., Gao, Y.: Fuzzy bilevel programming: Multi-objective and multi-follower with shared variables. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16, 105–133 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  3. Sakawa, M., Nishizaki, I.: Interactive fuzzy programming for two-level nonconvex programming problems with fuzzy parameters through genetic algorithms. Fuzzy Sets and Systems 127, 185–197 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Lu, J., Shi, C., Zhang, G.: An extended branch-and-bound algorithm for bilevel multi-follower decision making in a referential-uncooperative situation. International Journal of Information Technology and Decision Making 6, 371–388 (2006)

    Article  MATH  Google Scholar 

  5. Rudkevich, A.: Supply Function Equilibrium: Theory and Applications. In: Proceedings of the 36th Annual Hawaii International Conference on System Sciences, January 6-9 (2003)

    Google Scholar 

  6. Tao, L.: Mohammad Shahidehpour, Strategic bidding of transmission-constrained GENCOs with incomplete information. IEEE Transactions on Power Systems 20, 437–447 (2005)

    Article  Google Scholar 

  7. Haghighat, H., Seifi, H., Ashkan, R.K.: Gaming Analysis in Joint Energy and Spinning Reserve Markets. IEEE Transactions on Power Systems 22, 2074–2085 (2007)

    Article  Google Scholar 

  8. Wen, F., Kumar, A.: Optimal bidding strategies and modeling of imperfect information among competitive generators. IEEE Transactions on Power Systems 16, 15–21 (2001)

    Article  Google Scholar 

  9. James, D.W., Thomas, J.O., James, D.W., Thomas, J.O.: An Individual Welfare Maximization Algorithm for Electricity Markets. IEEE Transactions on Power Systems 17, 590–596 (2002)

    Article  Google Scholar 

  10. Pang, J., Fukushima, M.: Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games. Computational Management Science 2, 21–56 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  11. Bjøndal, M., Jørnsten, K.: The Deregulated Electricity Market Viewed as a Bilevel Programming Problem. Journal of Global Optimization 33, 465–475 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  12. Lee, E.S., Li, R.L.: Comparison of fuzzy numbers based on the probability measure of fuzzy events. Comput. Math. Appl. 15, 887–896 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  13. Parsopoulos, K.E., Vrahatis, M.N.: Recent approaches to global optimization problems through particle swarm optimization. Natural Computing 1, 235–306 (2002)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, G., Zhang, G., Gao, Y., Lu, J. (2009). A Fuzzy Bilevel Model and a PSO-Based Algorithm for Day-Ahead Electricity Market Strategy Making. In: Velásquez, J.D., Ríos, S.A., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2009. Lecture Notes in Computer Science(), vol 5712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04592-9_91

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04592-9_91

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04591-2

  • Online ISBN: 978-3-642-04592-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics