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Optimal Capacitor Placement and Sizing in Distribution Networks

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Optimization of Power System Problems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 262))

Abstract

Utilizing capacitor banks in order for local compensation of loads reactive power is common in distribution networks. Using capacitors has positive effects on networks such as power and energy loss reduction, voltage deviation and network harmonic reduction as well as improvement in network power factor. Capacitor placement is applied on the network in a form of single or multi-objective problems. Decreasing the total network loss is often the main reason for using capacitors in distribution networks. Capacitor placement approach involves the identification of location for capacitor placement and the size of the capacitor to be installed at the identified location. An optimization algorithm decides the location of the nodes where the capacitors should be placed. As we know, the capacitors are categorized in two main types of fixed and switchable capacitors. Selecting an appropriate type of capacitor is related to the topology of network, load value and economic situation. They are also different from coding point of view. In this section, the model of coding is presented at first, and then, the approach of applying is described based on optimization algorithm. The capacitors are often used for peak loads but they may be present in the network in off-peak due to the switching issues. The network voltage may be increased in off-peak with the presence of capacitors. Therefore, it is very important to consider both peak and off-peak in the capacitor sizing and placement problem. The proposed model is applied on IEEE 10 and 33-bus standard test cases in order to demonstrate the efficiency of the proposed model.

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References

  1. Bunch, J.B., Miller, R.D., Wheeler, J.E.: Distribution system integrated voltage and reactive power control. IEEE Trans. Power Apparatus Syst. 101(2), 284–289 (1982)

    Article  Google Scholar 

  2. Arcanjo, D.N., Pereira, J.L.R., Oliveira, E.J., Peres, W., de Oliveira, L.W., da Silva Junior, I.C.: Cuckoo search optimization technique applied to capacitor placement on distribution system problem. In: Proceedings of 10th IEEE/IAS International Conference on Industry Applications (2012)

    Google Scholar 

  3. Fuchs, E., Masoum, M.: Power Quality in Power Systems and Electrical Machines, pp. 261–300. Elsevier (2008)

    Google Scholar 

  4. Saric, A.T., Calovic, M.S., Djukanovic, M.B.: Fuzzy optimization of capacitors in distribution systems. In: IEE Proceedings on Generation, Transmission and Distribution (1997)

    Google Scholar 

  5. Wu, D., Tang, F., Guerrero, J.M., Vasquez, J.C.: Autonomous control of distributed generation and storage to coordinate P/Q sharing in islanded microgrids-an approach beyond droop control. In: Proceeding of International Energy Conference (ENERGYCON) (2014)

    Google Scholar 

  6. Neagle, N.M., Samson, D.R.: Loss reduction from capacitors installed on primary feeders. Trans. Am. Instit. Electr. Eng. Part III. IEEE Trans. Power Apparatus Syst. 75(3), 1 (1956)

    Google Scholar 

  7. Cook, R.F.: Optimizing the application of shunt capacitors for reactive-volt-ampere control and loss reduction. Trans. Am. Instit. Electr. Eng. Part III. IEEE Trans. Power Apparatus Syst. 80(3), 430–441 (1961)

    Google Scholar 

  8. Grainger, J.J., Lee, S.H.: Optimum size and location of shunt capacitors for reduction of losses on distribution feeders. IEEE Trans. Power Apparatus Syst. 100(3), 1105–1118 (1981)

    Article  Google Scholar 

  9. Chang, N.E.: Locating shunt capacitors on primary feeder for voltage control and loss reduction. IEEE Trans. Power Apparatus Syst. 88(10), 1574–1577 (1969)

    Article  Google Scholar 

  10. Lee, S.H., Grainger, J.J.: Optimum placement of fixed and switched capacitors on primary distribution feeders. IEEE Trans. Power Apparatus Syst. 100(1), 345–352 (1981)

    Article  Google Scholar 

  11. Salama, M.M.A., Chikhani, A.Y., Hackam, R.: Control of reactive power in distribution systems with an end-load and fixed load condition. IEEE Power Eng. Rev. 5(10), 39–46 (1985)

    Article  Google Scholar 

  12. Civanlar, S., Grainger, J.J.: Volt/Var control on distribution systems with lateral branches using shunt capacitors and voltage regulators part II: the solution method. IEEE Trans. Power Apparatus Syst. 104(11), 3284–3290 (1985)

    Article  Google Scholar 

  13. Civanlar, S., Grainger, J.J.: Volt/Var control on distribution systems with lateral branches using shunt capacitors and voltage regulators part III: the numerical results. IEEE Trans. Power Apparatus Syst. 104(11), 3291–3297 (1985)

    Article  Google Scholar 

  14. Grainger, J.J., Civanlar, S.: Volt/Var control on distribution systems with lateral branches using shunt capacitors and voltage regulators part I: the overall problem. IEEE Trans. Power Apparatus Syst. 104(11), 3278–3283 (1985)

    Article  Google Scholar 

  15. Dura, H.: Optimum number, location, and size of shunt capacitors in radial distribution feeders a dynamic programming approach. IEEE Trans. Power Apparatus Syst. 87(9), 1769–1774 (1968)

    Article  Google Scholar 

  16. Boone, G., Chiang, H.D.: Optimal capacitor placement in distribution systems by genetic algorithm. Int. J. Electr. Power Energy Syst. 15(3), 155–161 (1993)

    Article  Google Scholar 

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

    Article  Google Scholar 

  18. Miu, K.N., Chiang, H.D., Darling, G.: Capacitor placement, replacement and control in large-scale distribution systems by a GA-based two-stage algorithm. IEEE Trans. Power Syst. 12(3), 1160–1166 (1997)

    Article  Google Scholar 

  19. Ananthapadmanabha, T., Kulkarni, A.D., Gopala Rao, A.S., Raghavendra Rao, K., Parthasarathy, K.: Knowledge-based expert system for optimal reactive power control in distribution system. Int. J. Electr. Power Energy Syst. 18(1), 27–31 (1996)

    Article  Google Scholar 

  20. Huang, T.L., Hsiao, Y.T., Chang, C.H., Jiang, J.A.: Optimal placement of capacitors in distribution systems using an immune multi-objective algorithm. Int. J. Electr. Power Energy Syst. 30(3), 184–192 (2008)

    Article  Google Scholar 

  21. Chiou, J.P., Chang, C.F., Su, C.T.: Capacitor placement in large-scale distribution systems using variable scaling hybrid differential evolution. Int. J. Electr. Power Energy Syst. 28(10), 739–745 (2006)

    Article  Google Scholar 

  22. Kavousi, Fard A., Niknam, T.: Optimal stochastic capacitor placement problem from the reliability and cost views using firefly algorithm. IET Sci. Meas. Technol. 8(5), 260–269 (2014)

    Article  Google Scholar 

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

    Article  Google Scholar 

  24. 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 

  25. Gnanasekaran, N., Chandramohan, S., Kumar, P.S., Mohamed Imran, A.: Optimal placement of capacitors in radial distribution system using shark smell optimization algorithm. Ain Shams Eng. J. 7(2), 907–916 (2016)

    Article  Google Scholar 

  26. Othman, A.M.: Optimal capacitor placement by Enhanced Bacterial Foraging Optimization (EBFO) with accurate thermal re-rating of critical cables. Electr. Power Syst. Res. 140, 671–680 (2016)

    Article  Google Scholar 

  27. Gu, Z., Rizy, D.T.: Neural networks for combined control of capacitor banks and voltage regulators in distribution systems. IEEE Trans. Power Deliv. 11(4), 1921–1928 (1996)

    Article  Google Scholar 

  28. Chin, H.C.: Optimal shunt capacitor allocation by fuzzy dynamic programming. Electr. Power Syst. Res. 35(2), 133–139 (1995)

    Article  Google Scholar 

  29. Das, D.: Optimal placement of capacitors in radial distribution system using a Fuzzy-GA method. Int. J. Electr. Power Energy Syst. 30(6), 361–367 (2008)

    Article  Google Scholar 

  30. Gautam, G.D., Pandey, A.K.: Teaching learning algorithm based optimization of Kerf deviations in pulsed Nd: YAG laser cutting of Kevlar-29 composite laminates. Infrared Phys. Technol. 89, 203–217 (2017)

    Article  Google Scholar 

  31. Falaghi, H., Singh, C.: Optimal conductor size selection in distribution systems with wind power generation. In: Wang, L., Singh, C., Kusiak, A. (eds.) Wind Power Systems: Applications of Computational Intelligence, pp. 25–51. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  32. Chung, T.S., Leung, H.C.: A genetic algorithm approach in optimal capacitor selection with harmonic distortion considerations. Int. J. Electr. Power Energy Syst. 21, 561569 (1999)

    Article  Google Scholar 

  33. Afzalan, E., Taghikhani, M.A., Sedighizadeh, M.: Optimal placement and sizing of DG in radial distribution networks using SFLA. Int. J. Energy Eng. 2(3), 73–77 (2012)

    Article  Google Scholar 

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Acknowledgements

This book chapter is gratefully dedicated to my beloved wife, Samira, who taught me how to be a better man.

Author information

Authors and Affiliations

  1. Young Researchers and Elite Club, Sepidan Branch, Islamic Azad University, Spidan, Iran

    Arsalan Najafi

  2. Faculty of Engineering, University of Shiraz, Shiraz, Iran

    Ali Masoudian

  3. Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Behnam Mohammadi-Ivatloo

Authors
  1. Arsalan Najafi
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  2. Ali Masoudian
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  3. Behnam Mohammadi-Ivatloo
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Corresponding author

Correspondence to Arsalan Najafi .

Editor information

Editors and Affiliations

  1. Postdoctoral Fellow of Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Mahmoud Pesaran Hajiabbas

  2. Associate Professor of Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Behnam Mohammadi-Ivatloo

MATLAB Code

MATLAB Code

In this part the MATLAB codes of optimal capacitor placement for the 10-bus test case is presented. The code of 33-bus test case is similar. Therefore only one of test cases is presented here. The code is separated to the some functions. Each function should be copied in a separate MATLAB m-file and then the first code should be run.

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Najafi, A., Masoudian, A., Mohammadi-Ivatloo, B. (2020). Optimal Capacitor Placement and Sizing in Distribution Networks. In: Pesaran Hajiabbas, M., Mohammadi-Ivatloo, B. (eds) Optimization of Power System Problems . Studies in Systems, Decision and Control, vol 262. Springer, Cham. https://doi.org/10.1007/978-3-030-34050-6_4

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  • DOI: https://doi.org/10.1007/978-3-030-34050-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-34049-0

  • Online ISBN: 978-3-030-34050-6

  • eBook Packages: EngineeringEngineering (R0)

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