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A New Improved Hybrid Algorithm for Multi-objective Capacitor Allocation in Radial Distribution Networks

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Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 816))

Abstract

Capacitor allocation is one of the complex and challenging problems in modern power system operation. Several benefits including reduction of system loss and improvement of bus voltage profile can be achieved by optimal capacitor allocation. It is a complex nonlinear constrained optimization problem, and many modern meta-heuristic techniques have been applied to solve the problem. However, one of the major difficulties in modern population-based meta-heuristic techniques is the selection of control parameters which are normally problem-dependent. As reported in the literature, a wrong parameter selection may result in premature convergence and even lead to stagnation. This paper introduces a new improved algorithm using chaos enhanced differential evolution (DE) for optimal capacitor allocation to avoid premature convergence. Logistic map chaotic sequence is used for self-adjustment of control parameters of DE. A multi-objective framework for the capacitor allocation problem is presented considering active power loss, cumulative voltage deviation (CVD) and system cost with a set of equality and inequality constraints. A 69-bus radial distribution is selected for demonstration and validation purpose.

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References

  1. Ng, H.N., Salama, M.M.A., Chikhani, A.Y.: Classification of capacitor allocation techniques. IEEE Trans. Power Del. 15(1), 387–392 (2000)

    Article  Google Scholar 

  2. Nojavan, S., Jalali, M., Zare, K.: Optimal allocation of capacitors in radial/mesh distribution systems using mixed integer nonlinear programming approach. Int. J. Electr. Power Energy Syst. 107, 119–124 (2014)

    Article  Google Scholar 

  3. Das, D.: Optimal placement of capacitors in radial distribution system using a fuzzy-GA method. Electr. Power Energy Syst. 30, 361–367 (2008)

    Article  Google Scholar 

  4. El-Fergany, A.A., Abdelaziz, A.Y.: Multi-objective capacitor allocations in distribution networks using artificial bee colony algorithm. J. Electr. Eng. Technol. 9(2), 441–451 (2014)

    Article  Google Scholar 

  5. Mohamed Imran, A., Kowsalya, M.: Optimal size and siting of multiple distributed generators in distribution system using bacteria foraging optimization. Swarm Evol. Comput., pp. 58–65 (2014)

    Google Scholar 

  6. Sultana, S., Roy, P.K.: Optimal capacitor placement in radial distribution systems using teaching learning based optimization. Int. J. Electr. Power Energy Syst. 54, 387–398 (2014)

    Article  Google Scholar 

  7. El-Fergany, A.A., Abdelaziz, A.Y.: Cuckoo search-based algorithm for optimal shunt capacitors allocations in distribution networks. Electr. Power Compon. Syst. 41, 1567–1581 (2013)

    Article  Google Scholar 

  8. El-Ela, A.A.A., El-Sehiemy, R.A., Kinawy, A.M., Mouwafi, M.T.: Optimal capacitor placement in distribution systems for power loss reduction and voltage profile improvement. IET Gener. Transm. Distrib. 10(5), 1209–1221 (2016)

    Article  Google Scholar 

  9. Lee, C.S., Ayala, H.V.H., Coelho, L.S.: Capacitor placement of distribution systems using particle swarm optimization approaches. Int. J. Electr. Power Energy Syst. 64, 839–851 (2015)

    Article  Google Scholar 

  10. Das, P., Banerjee, S.: Optimal sizing and placement of capacitor in a radial distribution system using loss sensitivity factor and firefly algorithm. Int. J. Eng. Comput. Sci. 3(4), 5346–5352 (2014)

    Google Scholar 

  11. Karimi, H., Dash, R.: Comprehensive framework for capacitor placement in distribution networks from the perspective of distribution system management in a restructured environment. Int. J. Electr. Power Energy Syst. 82, 11–18 (2016)

    Article  Google Scholar 

  12. Abril, I.P.: Algorithm of inclusion and interchange of variables for capacitors placement. Electr. Power Syst. Res. 148, 117–126 (2017)

    Article  Google Scholar 

  13. Storn, R., Price, K.: Differential evolution: a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report TR-95-012, Berkeley, USA: International Computer Science Institute (1995)

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  15. Jia, D., Zhenga, G., Khan, M.K.: An effective memetic differential evolution algorithm based on chaotic local search. Inf. Sci. 181, 3175–3187 (2011)

    Article  Google Scholar 

  16. Gandomia, A.H., Yang, X.-S., Talatahari, S., Alavi, A.H.: Firefly algorithm with chaos. Commun. Nonlinear Sci. Numer. Simulat. 18, 89–98 (2013)

    Article  MathSciNet  Google Scholar 

  17. El-Fergany, A.: Optimal capacitor allocations using integrated evolutionary algorithms. IET Gener. Transm. Distrib. 7(6), 593–601 (2013)

    Article  Google Scholar 

  18. Prakash, K., Sydulu, M.: Particle swarm optimization based capacitor placement on radial distribution systems. IEEE PES General Meeting, Tampa, FL, pp. 1–5 (2007)

    Google Scholar 

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Correspondence to K. K. Mandal .

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Mandal, S., Mandal, K.K., Tudu, B., Chakraborty, N. (2019). A New Improved Hybrid Algorithm for Multi-objective Capacitor Allocation in Radial Distribution Networks. In: Bansal, J., Das, K., Nagar, A., Deep, K., Ojha, A. (eds) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 816. Springer, Singapore. https://doi.org/10.1007/978-981-13-1592-3_46

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