Skip to main content

Advertisement

Springer Nature Link
Log in

Optimal placement and sizing of capacitor using Limaçon inspired spider monkey optimization algorithm

  • Regular Research Paper
  • Published:
Memetic Computing Aims and scope Submit manuscript

Abstract

The power system is a complex interconnected network which can be subdivided into three components: generation, distribution, and transmission. Capacitors of specific sizes are placed in the distribution network so that losses in transmission and distribution is minimum. But the decision of size and position of capacitors in this network is a complex optimization problem. In this paper, Limaçon curve inspired local search strategy (LLS) is proposed and incorporated into spider monkey optimization (SMO) algorithm to deal optimal placement and the sizing problem of capacitors. The proposed strategy is named as Limaçon inspired SMO (LSMO) algorithm. In the proposed local search strategy, the Limaçon curve equation is modified by incorporating the persistence and social learning components of SMO algorithm. The performance of LSMO is tested over 25 benchmark functions. Further, it is applied to solve optimal capacitor placement and sizing problem in IEEE-14, 30 and 33 test bus systems with the proper allocation of 3 and 5-capacitors. The reported results are compared with a network without a capacitor (un-capacitor) and other existing methods.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Bansal JC, Sharma H, Arya KV, Nagar A (2013) Memetic search in artificial bee colony algorithm. Soft Comput 17(10):1911–1928

  2. Bansal JC, Sharma H, Jadon SS, Clerc M (2014) Spider monkey optimization algorithm for numerical optimization. Memet Comput 6(1):31–47

    Article  Google Scholar 

  3. Chen X, Ong YS, Lim MH, Tan KC (2011) A multi-facet survey on memetic computation. IEEE Trans Evolut Comput 15(5):591–607

    Article  Google Scholar 

  4. Clerc M, Kennedy J (2011) Standard pso 2011. Particle swarm central site [online] http://www.particleswarm.info. Accesed Feb 2015

  5. Lawrence JD (1972) A catalog of special plane curves. Dover Publications, New York

    MATH  Google Scholar 

  6. Gallego R, Monticelli AJ, Romero R (2001) Optimal capacitor placement in radial distribution networks. Power Syst IEEE Trans 16(4):630–637

    Article  Google Scholar 

  7. Hansen N (2006) The cma evolution strategy: a comparing review. In : Lozano JA, Larranaga P, Inza I, Bengoetxea E (eds) Towards a new evolutionary computation, vol 192. Springer, Berlin, Heidelberg, pp 75–102

  8. Holland JH (1975) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. U. Michigen Press, Oxford, England

    MATH  Google Scholar 

  9. Isac SJ, Kumar KS (2015) Optimal capacitor placement in radial distribution system to minimize the loss using fuzzy logic control and hybrid particle swarm optimization. In: Power electronics and renewable energy systems, vol 326, c. kamalakannan edition. Springer India, pp 1319–1329

  10. Karaboga D (2005) An idea based on honey bee swarm for numerical optimization. Technical report TR06, Erciyes University Press, Erciyes

  11. Krasnogor N, Gustafson S (2002) Toward truly “memetic” memetic algorithms: discussion and proofs of concept. In: Advances in nature-inspired computation: the PPSN VII workshops. PEDAL (Parallel, Emergent and Distributed Architectures Lab). University of Reading. ISBN 0-9543481-0-9. icalp. tex; 9/12/2003; 16: 52, Natalio Krasnogor, Steven Gustafson. Citeseer, pp 21–22

  12. Krivoshapko S, Ivanov VN (2015) Encyclopedia of analytical surfaces. Springer, Switzerland

  13. Kumar P, Singh AK (2015) Soft computing techniques for optimal capacitor placement. In: Zhu Q, Azar AT (eds) Complex system modelling and control through intelligent soft computations. Springer, pp 597–625

  14. Lee CS, Ayala HVH, dos Santos Coelho L (2015) Capacitor placement of distribution systems using particle swarm optimization approaches. Int J Electr Power Energy Syst 64:839–851

    Article  Google Scholar 

  15. Lim MH, Gustafson S, Krasnogor N, Ong YS (2009) Editorial to the first issue. Memet Comput 1(1):1–2

    Article  Google Scholar 

  16. Mininno E, Neri F (2010) A memetic differential evolution approach in noisy optimization. Memet Comput 2(2):111–135

    Article  Google Scholar 

  17. Neri F, Tirronen V (2009) Scale factor local search in differential evolution. Memet Comput Springer 1(2):153–171

    Article  Google Scholar 

  18. Ng HN, Salama MMA, Chikhani AY (2000) Capacitor allocation by approximate reasoning: fuzzy capacitor placement. Power Deliv IEEE Trans 15(1):393–398

    Article  Google Scholar 

  19. Nguyen QH, Ong YS, Lim MH (2009) A probabilistic memetic framework. IEEE Trans Evolut Comput 13(3):604–623

    Article  Google Scholar 

  20. Ong YS, Lim M, Chen X (2010) Research frontier: memetic computation-past, present and future. Comput Intell Mag IEEE 5(2):24–31

    Article  Google Scholar 

  21. Ong YS, Lim MH, Zhu N, Wong KW (2006) Classification of adaptive memetic algorithms: a comparative study. Syst Man Cybern Part B: Cybern IEEE Trans 36(1):141–152

    Article  Google Scholar 

  22. Ong YS, Nair PB, Keane AJ (2003) Evolutionary optimization of computationally expensive problems via surrogate modeling. AIAA J 41(4):687–696

    Article  Google Scholar 

  23. Prakash K, Sydulu M (2007) Particle swarm optimization based capacitor placement on radial distribution systems. In: Power Engineering Society general meeting, 2007. IEEE, Tampa, pp 1–5

  24. Rao RS, Narasimham SVL, Ramalingaraju M (2008) Optimization of distribution network configuration for loss reduction using artificial bee colony algorithm. Int J Electr Power Energy Syst Eng 1(2):116–122

    Google Scholar 

  25. Sharma A, Sharma H, Bhargava A, Sharma N (2016) Power law-based local search in spider monkey optimisation for lower order system modelling. Int J Syst Sci 1–11. doi:10.1080/00207721.2016.1165895

  26. Sharma H, Bansal JC, Arya KV (2013) Opposition based lévy flight artificial bee colony. Memet Comput 5(3):213–227

    Article  Google Scholar 

  27. Sharma H, Bansal JC, Arya KV, Yang X-S (2015) Lévy flight artificial bee colony algorithm. Int J Syst Sci 47(11):1–19

    MATH  Google Scholar 

  28. Storn R, Price K (1997) Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359

    Article  MATH  MathSciNet  Google Scholar 

  29. Sundhararajan S, Pahwa A (1994) Optimal selection of capacitors for radial distribution systems using a genetic algorithm. Power Syst IEEE Trans 9(3):1499–1507

    Article  Google Scholar 

  30. Vermeij GJ (1995) A natural history of shells. Princeton University Press, Princeton New Jersey, USA

  31. Zhu G, Kwong S (2010) Gbest-guided artificial bee colony algorithm for numerical function optimization. Appl Math Comput 217(7):3166–3173

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Rajasthan Technical University, Kota, India

    Ajay Sharma, Harish Sharma, Annapurna Bhargava & Nirmala Sharma

  2. South Asian University, New Delhi, India

    Jagdish Chand Bansal

Authors
  1. Ajay Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Harish Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Annapurna Bhargava
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nirmala Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Jagdish Chand Bansal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ajay Sharma.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sharma, A., Sharma, H., Bhargava, A. et al. Optimal placement and sizing of capacitor using Limaçon inspired spider monkey optimization algorithm. Memetic Comp. 9, 311–331 (2017). https://doi.org/10.1007/s12293-016-0208-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12293-016-0208-z

Keywords