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Sine-Cosine Algorithm for OPF Analysis in Distribution Systems to Size Distributed Generators

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Applied Computer Sciences in Engineering (WEA 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1052))

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Abstract

This paper addresses the analysis the optimal power flow (OPF) problem in alternating current (AC) radial distribution networks by using a new metaheuristic optimization technique known as a sine-cosine algorithm (SCA). This combinatorial optimization approach allows for solving the nonlinear non-convex optimization OPF problem by using a master-slave strategy. In the master stage, the soft computing SCA is used to define the power dispatch at each distributed generator (dimensioning problem). In the slave stage, it is used a conventional radial power flow formulated by incidence matrices is used for evaluating the total power losses (objective function evaluation). Two conventional highly used distribution feeders with 33 and 69 nodes are employed for validating the proposed master-slave approach. Simulation results are compared with different literature methods such as genetic algorithm, particle swarm optimization, and krill herd algorithm. All the simulations are performed in MATLAB programming environment, and their results show the effectiveness of the proposed approach in contrast to previously reported methods.

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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Notes

  1. 1.

    \(^{\star }\) represent the conjugate operator in complex numbers.

References

  1. Keane, A., et al.: State-of-the-art techniques and challenges ahead for distributed generation planning and optimization. IEEE Trans. Power Syst. 28(2), 1493–1502 (2013)

    Article  Google Scholar 

  2. Montoya, O.D., Garces, A., Castro, C.A.: Optimal conductor size selection in radial distribution networks using a mixed-integer non-linear programming formulation. IEEE Lat. Am. Trans. 16(8), 2213–2220 (2018)

    Article  Google Scholar 

  3. Zeng, B., Zhang, J., Yang, X., Wang, J., Dong, J., Zhang, Y.: Integrated planning for transition to low-carbon distribution system with renewable energy generation and demand response. IEEE Trans. Power Syst. 29(3), 1153–1165 (2014)

    Article  Google Scholar 

  4. Li, R., Wang, W., Xia, M.: Cooperative planning of active distribution system with renewable energy sources and energy storage systems. IEEE Access 6, 5916–5926 (2018)

    Article  Google Scholar 

  5. 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 

  6. Bai, X., Qu, L., Qiao, W.: Robust AC optimal power flow for power networks with wind power generation. IEEE Trans. Power Syst. 31(5), 4163–4164 (2016)

    Article  Google Scholar 

  7. Gabash, A., Li, P.: Active-reactive optimal power flow in distribution networks with embedded generation and battery storage. IEEE Trans. Power Syst. 27(4), 2026–2035 (2012)

    Article  Google Scholar 

  8. Wang, Y., Zhang, N., Li, H., Yang, J., Kang, C.: Linear three-phase power flow for unbalanced active distribution networks with PV nodes. CSEE J. Power Energy Syst. 3(3), 321–324 (2017)

    Article  Google Scholar 

  9. 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 

  10. 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 

  11. 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 

  12. Garces, A.: A linear three-phase load flow for power distribution systems. IEEE Trans. Power Syst. 31(1), 827–828 (2016)

    Article  MathSciNet  Google Scholar 

  13. Lisboa, A., Guedes, L., Vieira, D., Saldanha, R.: A fast power flow method for radial networks with linear storage and no matrix inversions. Int. J. Electr. Power Energy Syst. 63, 901–907 (2014)

    Article  Google Scholar 

  14. 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 

  15. 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 

  16. 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 

  17. 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 

  18. 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 

  19. 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  MATH  Google Scholar 

  20. Oliveira, E.J., Oliveira, L.W., Pereira, J., Honório, L.M., Silva, I.C., Marcato, A.: An optimal power flow based on safety barrier interior point method. Int. J. Electr. Power Energy Syst. 64, 977–985 (2015)

    Article  Google Scholar 

  21. Yang, J., He, L., Fu, S.: An improved PSO-based charging strategy of electric vehicles in electrical distribution grid. Appl. Energy 128, 82–92 (2014)

    Article  Google Scholar 

  22. Todorovski, M., Rajicic, D.: An initialization procedure in solving optimal power flow by genetic algorithm. IEEE Trans. Power Syst. 21(2), 480–487 (2006)

    Article  Google Scholar 

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

    Article  Google Scholar 

  24. Kılıc, U., Ayan, K.: Optimizing power flow of AC–DC power systems using artificial bee colony algorithm. Int. J. Electr. Power Energy Syst. 53, 592–602 (2013)

    Article  Google Scholar 

  25. 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 

  26. Montoya, O.D., Garrido, V.M., Gil-González, W., Grisales-Noreña, L.F.: Power flow analysis in DC grids: two alternative numerical methods. IEEE Trans. Circuits Syst. II, 1 (2019)

    Google Scholar 

  27. Garces, A.: Uniqueness of the power flow solutions in low voltage direct current grids. Electr. Power Syst. Res. 151, 149–153 (2017)

    Article  Google Scholar 

  28. 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 

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Author information

Authors and Affiliations

  1. Programa de Ingeniería Eléctrica e Ingeniería Electrónica, Universidad Tecnológica de Bolívar, Cartagena, Colombia

    María Lourdes Manrique, Oscar Danilo Montoya & Víctor Manuel Garrido

  2. Departamento de Electromecánica y Mecatrónica, Instituto Tecnológico Metropolitano, Medellín, Colombia

    Luis Fernando Grisales-Noreña

  3. Programa de Ingeniería Eléctrica, Universidad Tecnológica de Pereira, Pereira, Colombia

    Walter Gil-González

Authors
  1. María Lourdes Manrique
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  2. Oscar Danilo Montoya
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  3. Víctor Manuel Garrido
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  4. Luis Fernando Grisales-Noreña
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  5. Walter Gil-González
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Corresponding author

Correspondence to Oscar Danilo Montoya .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia

    Juan Carlos Figueroa-García

  2. Universidad Antonio Nariño, Bogotá, Colombia

    Mario Duarte-González

  3. Universidad Antonio Nariño, Bogotá, Colombia

    Sebastián Jaramillo-Isaza

  4. Universidad del Rosario, Bogotá, Colombia

    Alvaro David Orjuela-Cañon

  5. Corporación Unificada Nacional CUN, Bogotá, Colombia

    Yesid Díaz-Gutierrez

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Manrique, M.L., Montoya, O.D., Garrido, V.M., Grisales-Noreña, L.F., Gil-González, W. (2019). Sine-Cosine Algorithm for OPF Analysis in Distribution Systems to Size Distributed Generators. 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_3

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  • DOI: https://doi.org/10.1007/978-3-030-31019-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31018-9

  • Online ISBN: 978-3-030-31019-6

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