Skip to main content

Integrating Hierarchical Clustering and Pareto-Efficiency to Preventive Controls Selection in Voltage Stability Assessment

  • Conference paper
  • First Online:
Evolutionary Multi-Criterion Optimization (EMO 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9019))

Included in the following conference series:

Abstract

Many methods to estimate the cut-off value in order to determine the actual groups from a dendrogram given via hierarchical clustering methods have been proposed in the litetarure. However, in most of the cases, the determination of this value is critical and based on heuristics. In this context, a new method based on Pareto-optimality and on the hierarchical clustering method called Data Mine of Code Repositories (DAMICORE) to determine the most promising groups in a given dendrogram is proposed. This method is called Pareto-Efficient Set Algorithm (PESA). In order to validate the proposed method, PESA was applied find the most promising groups for the preventive control selection problem in the context of voltage stability assessment in electrical power systems. PESA was able to design a set of controllers to eliminate all critical contingencies and was successfully tested in a reduced south-southeast Brazilian system composed of 107 buses.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Granville, S., Mello, J.C.O., Melo, A.C.G.: Application of interior point methods to power flow unsolvability. IEEE Transactions on Power Systems 11, 1096–1103 (1996)

    Article  Google Scholar 

  2. Bedrinana, M., Castro, C., Bedoya, D.: Maximization of voltage stability margin by optimal reactive compensation. In: 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century, pp. 1–7, July 2008

    Google Scholar 

  3. Greene, S., Dobson, I., Alvarado, F.: Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters. IEEE Transactions on Power Systems 12(1), 262–272 (1997)

    Article  Google Scholar 

  4. Zhao, J., Chiang, H.-D., Li, H., Zhang, B.: A novel preventive control approach for mitigating voltage collapse. In: Power Engineering Society General Meeting, p. 6. IEEE (2006)

    Google Scholar 

  5. Mansour, M., Alberto, L., Ramos, R.: Look-ahead based method for selection of preventive control for voltage stability analysis, pp. 469–473, March 2012

    Google Scholar 

  6. Chiang, H.-D., Wang, C.-S., Flueck, A.: Look-ahead voltage and load margin contingency selection functions for large-scale power systems. IEEE Transactions on Power Systems 12(1), 173–180 (1997)

    Article  Google Scholar 

  7. Mansour, M.R., Alberto, L.F.C., Ramos, R.A., Delbem, A.C.B.: Identifying groups of preventive controls for a set of critical contingencies in the context of voltage stability. In: ISCAS, pp. 453–456 (2013)

    Google Scholar 

  8. Sanches, A., Cardoso, J., Delbem, A.: Identifying merge-beneficial software kernels for hardware implementation. In: International Conference on Reconfigurable Computing and FPGAs (ReConFig), November 30 to December 2, 2011, pp. 74–79 (2011)

    Google Scholar 

  9. Figueira, J., Greco, S., Ehrgott, M.: Multiple criteria decision analysis: state of the art surveys. International Series in Operations Research & Management Science. Springer (2005). http://books.google.co.in/books?id=YqmvlTiMNqYC

  10. Chauhan, A., Vaish, R.: Hard coating material selection using multi-criteria decision making. Materials & Design 44, 240–245 (2013)

    Article  Google Scholar 

  11. Pedro, L.R., Takahashi, R.H.C.: Modeling decision-maker preferences through utility function level sets. In: Takahashi, R.H.C., Deb, K., Wanner, E.F., Greco, S. (eds.) EMO 2011. LNCS, vol. 6576, pp. 550–563. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  12. Pareto, V.: Manual of political economy (manuale di economia politica). Kelley, New York. Translated by Ann S. Schwier and Alfred N. Page

    Google Scholar 

  13. Morse, J.N.: Reducing the size of the nondominated set: Pruning by clustering. Computers & OR 7(1–2), 55–66 (1980)

    Article  Google Scholar 

  14. Mattson, C.A., Mullur, A.A., Messac, A.: Smart Pareto filter: obtaining a minimal representation of multiobjective design space. Engineering Optimization 36(6), 721–740 (2004)

    Article  MathSciNet  Google Scholar 

  15. Veerappa, V., Letier, E.: Understanding clusters of optimal solutions in multi-objective decision problems. In: Proceedings of the 2011 IEEE 19th International Requirements Engineering Conference, ser. RE 2011, pp. 89–98. IEEE Computer Society, Washington, DC (2011)

    Google Scholar 

  16. ONS. Submódulo 23.3: Diretrizes e critérios para estudos elétricos, November 2011. http://www.ons.org.br/procedimentos/index.aspx

  17. Cilibrasi, R., Vitányi, P.M.B.: Clustering by compression. IEEE Transactions on Information Theory 51, 1523–1545 (2005)

    Article  MATH  Google Scholar 

  18. Felsenstein, J.: Inferring Phylogenies, 2nd edn. Sinauer Associates, September 2003

    Google Scholar 

  19. Newman, M.: Networks: An Introduction. Oxford University Press Inc., New York (2010)

    Book  Google Scholar 

  20. Alves, W.F.: Proposition of test-systems to power systems analysis, Ph.D. dissertation, Universidade Federal de Fluminense, Niteroi, RJ (2007). http://www.sistemas-teste.com.br/ (in Portuguese)

  21. Chiang, H.-D., Flueck, A., Shah, K., Balu, N.: Cpflow: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations. IEEE Transactions on Power Systems 10(2), 623–634 (1995)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Moussa R. Mansour .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Mansour, M.R., Delbem, A.C.B., Alberto, L.F.C., Ramos, R.A. (2015). Integrating Hierarchical Clustering and Pareto-Efficiency to Preventive Controls Selection in Voltage Stability Assessment. In: Gaspar-Cunha, A., Henggeler Antunes, C., Coello, C. (eds) Evolutionary Multi-Criterion Optimization. EMO 2015. Lecture Notes in Computer Science(), vol 9019. Springer, Cham. https://doi.org/10.1007/978-3-319-15892-1_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-15892-1_33

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15891-4

  • Online ISBN: 978-3-319-15892-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics