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Vortex Search Algorithm for Optimal Sizing of Distributed Generators in AC Distribution Networks with Radial Topology

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Applied Computer Sciences in Engineering (WEA 2019)

Abstract

This paper proposes a vortex search algorithm (VSA) optimization for optimal dimensioning of distributed generators (DGs), in radial alternating current (AC) distribution networks. The VSA corresponds to a metaheuristic optimization technique that works in the continuous domain, to solve nonlinear, non-convex, large scale optimization problems. Here, this technique is used to determine the optimal power generation capacity of the DGs from the top-down analysis. From the bottom-up, a conventional backward/forward power flow is employed for determining the voltage behavior and calculate the power losses of the network, for each power output combination in the DGs. Numerical results demonstrate that the proposed approach is efficient and robust for reducing power losses on AC grids by optimally sizing the capacity the DGs, compared with other approaches found on literature reports. All the simulations were conducted using the MATLAB software.

This work was supported in part by the Administrative Department of Science, Technology, and Innovation of Colombia (COLCIENCIAS) through the National Scholarship Program under Grant 727-2015, in part by the Universidad Tecnológica de Bolívar under Project C2018P020 and in part by the Instituto Tecnológico Metropolitano under the project P17211.

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References

  1. Blaabjerg, F., Kjaer, S.B.: Power electronics as efficient interface in dispersed power generation systems. IEEE Trans. Power Electron. 19(5), 1184–1194 (2004)

    Article  Google Scholar 

  2. Carrasco, J.M., et al.: Power-electronic systems for the grid integration of renewable energy sources: a survey. IEEE Trans. Ind. Electron. 53(4), 1002–1016 (2006)

    Article  Google Scholar 

  3. Zhao, X., Chang, L., Shao, R., Spence, K.: Power system support functions provided by smart inverters a review. CPSS Trans. Power Electron. Appl. 3(1), 25–35 (2018)

    Article  Google Scholar 

  4. Hossain, M.J., Pota, H.R., Mahmud, M.A., Aldeen, M.: Robust control for power sharing in microgrids with low-inertia wind and PV generators. IEEE Trans. Sustain. Energy 6(3), 1067–1077 (2015)

    Article  Google Scholar 

  5. Sultana, S., Roy, P.K.: Krill herd algorithm for optimal location of distributed generator in radial distribution system. Appl. Soft Comput. 40, 391–404 (2016)

    Article  Google Scholar 

  6. Grisales-Noreña, L.F., Gonzalez-Montoya, D., Ramos-Paja, C.A.: Optimal sizing and location of distributed generators based on PBIL and PSO techniques. Energies 11(1018), 1–27 (2018)

    Google Scholar 

  7. Montoya, O.D., Grajales, A., Garces, A., Castro, C.A.: Distribution systems operation considering energy storage devices and distributed generation. IEEE Lat. Am. Trans. 15(5), 890–900 (2017)

    Article  Google Scholar 

  8. Sgouras, K.I., Bouhouras, A.S., Gkaidatzis, P.A., Doukas, D.I., Labridis, D.P.: Impact of reverse power flow on the optimal distributed generation placement problem. IET Gener. Transm. Distrib. 11(18), 4626–4632 (2017)

    Article  Google Scholar 

  9. Mahat, P., Chen, Z., Bak-Jensen, B., Bak, C.L.: A simple adaptive overcurrent protection of distribution systems with distributed generation. IEEE Trans. Smart Grid 2(3), 428–437 (2011)

    Article  Google Scholar 

  10. Chao, L., Yongting, C., Xunjun, Z.: Analysis and solution of voltage overvoltage problem in grid connection of distributed photovoltaic system. In: 2018 China International Conference on Electricity Distribution (CICED), pp. 1114–1117, September 2018

    Google Scholar 

  11. El-khattam, W., Sidhu, T.S.: Resolving the impact of distributed renewable generation on directional overcurrent relay coordination: a case study. IET Renew. Power Gener. 3(4), 415–425 (2009)

    Article  Google Scholar 

  12. Attia, A.-F., Sehiemy, R.A.E., Hasanien, H.M.: Optimal power flow solution in power systems using a novel Sine-Cosine algorithm. Int. J. Electr. Power Energy Syst. 99, 331–343 (2018)

    Article  Google Scholar 

  13. Moradi, M., Abedini, M.: A combination of genetic algorithm and particle swarm optimization for optimal DG location and sizing in distribution systems. Int. J. Electr. Power Energy Syst. 34(1), 66–74 (2012)

    Article  Google Scholar 

  14. Abido, M.A.: Optimal power flow using Tabu search algorithm. Electr. Power Compon. Syst. 30(5), 469–483 (2002)

    Article  Google Scholar 

  15. Injeti, S.K., Kumar, N.P.: A novel approach to identify optimal access point and capacity of multiple DGs in a small, medium and large scale radial distribution systems. Int. J. Electr. Power Energy Syst. 45(1), 142–151 (2013)

    Article  Google Scholar 

  16. Balachennaiah, P., Suryakalavathi, M., Nagendra, P.: Firefly algorithm based solution to minimize the real power loss in a power system. Ain Shams Eng. J. 9(1), 89–100 (2018)

    Article  Google Scholar 

  17. Kumar, Y.A., Kumar, N.P.: Optimal allocation of distribution generation units in radial distribution systems using nature inspired optimization techniques. In: 2018 International Conference on Power, Energy, Control and Transmission Systems (ICPECTS), pp. 1–6, February 2018

    Google Scholar 

  18. Sudabattula, S.K., Kowsalya, M.: Optimal allocation of solar based distributed generators in distribution system using Bat algorithm. Perspect. Sci. 8, 270–272 (2016). Recent Trends in Engineering and Material Sciences

    Article  Google Scholar 

  19. Ozkıs, A., Babalık, A.: A novel metaheuristic for multi-objective optimization problems: the multi-objective vortex search algorithm. Inf. Sci. 402, 124–148 (2017)

    Article  Google Scholar 

  20. Marini, A., Mortazavi, S., Piegari, L., Ghazizadeh, M.-S.: An efficient graph-based power flow algorithm for electrical distribution systems with a comprehensive modeling of distributed generations. Electr. Power Syst. Res. 170, 229–243 (2019)

    Article  Google Scholar 

  21. Aydin, O., Tezcan, S., Eke, I., Taplamacioglu, M.: Solving the Optimal power flow quadratic cost functions using Vortex search algorithm. IFAC-PapersOnLine 50(1), 239–244 (2017). 20th IFAC World Congress

    Article  Google Scholar 

  22. Dogan, B., Olmez, T.: Vortex search algorithm for the analog active filter component selection problem. AEU - Int. J. Electron. Commun. 69(9), 1243–1253 (2015)

    Article  Google Scholar 

  23. Huang, S., Wu, Q., Wang, J., Zhao, H.: A sufficient condition on convex relaxation of AC optimal power flow in distribution networks. IEEE Trans. Power Syst. 32(2), 1359–1368 (2017)

    Google Scholar 

  24. Venzke, A., Halilbasic, L., Markovic, U., Hug, G., Chatzivasileiadis, S.: Convex relaxations of chance constrained AC optimal power flow. IEEE Trans. Power Syst. 33(3), 2829–2841 (2018)

    Article  Google Scholar 

  25. Zamzam, A.S., Sidiropoulos, N.D., Dall’Anese, E.: Beyond relaxation and Newton-Raphson: solving AC OPF for multi-phase systems with renewables. IEEE Trans. Smart Grid 9(5), 3966–3975 (2018)

    Article  Google Scholar 

  26. Miao, Z., Fan, L., Aghamolki, H.G., Zeng, B.: Least squares estimation based SDP cuts for SOCP relaxation of AC OPF. IEEE Trans. Autom. Control 63(1), 241–248 (2018)

    Article  MathSciNet  Google Scholar 

  27. Garces, A.: A quadratic approximation for the optimal power flow in power distribution systems. Electr. Power Syst. Res. 130, 222–229 (2016). http://www.sciencedirect.com/science/article/pii/S037877961500276X

    Article  Google Scholar 

  28. Nejdawi, I.M., Clements, K.A., Davis, P.W.: An efficient interior point method for sequential quadratic programming based optimal power flow. IEEE Trans. Power Syst. 15(4), 1179–1183 (2000)

    Article  Google Scholar 

  29. Teng, J.-H.: A modified gauss-seidel algorithm of three-phase power flow analysis in distribution networks. Int. J. Electr. Power Energy Syst. 24(2), 97–102 (2002)

    Article  Google Scholar 

  30. Montoya, O.D., Gil, W.J., Garces, A.: Optimal Power Flow for radial and mesh grids using semidefinite programming. Tecno Logicas 20(40), 29–42 (2017)

    Article  Google Scholar 

  31. Ramli, M.A.M., Bouchekara, H.R.E.H.: Estimation of solar radiation on PV panel surface with optimum tilt angle using vortex search algorithm. IET Renew. Power Gener. 12(10), 1138–1145 (2018)

    Article  Google Scholar 

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Correspondence to Oscar Danilo Montoya .

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Montoya, O.D., Grisales-Noreña, L.F., Amin, W.T., Rojas, L.A., Campillo, J. (2019). Vortex Search Algorithm for Optimal Sizing of Distributed Generators in AC Distribution Networks with Radial Topology. In: Figueroa-García, J., Duarte-González, M., Jaramillo-Isaza, S., Orjuela-Cañon, A., Díaz-Gutierrez, Y. (eds) Applied Computer Sciences in Engineering. WEA 2019. Communications in Computer and Information Science, vol 1052. Springer, Cham. https://doi.org/10.1007/978-3-030-31019-6_21

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  • DOI: https://doi.org/10.1007/978-3-030-31019-6_21

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  • Online ISBN: 978-3-030-31019-6

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