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Optimal Distributed Generation Allocation Using a New Metaheuristic

  • Francisco C. R. Coelho
  • Ivo C. da Silva Junior
  • Bruno H. DiasEmail author
  • Wesley B. Peres
Article

Abstract

The optimal placement of distributed generation in power distribution systems problem consists of defining the most appropriate sites to install those generators and their optimal sizing, aiming to optimize the system performance. From the mathematical point of view, it is a complex nonlinear optimization problem, containing continuous and discrete variables. The present paper deals with the optimal placement and sizing of distributed generators for real power losses minimization in distribution systems. For this purpose, a new metaheuristic approach called War Optimization is proposed. The best sites to place these generators are defined by the War Optimization method, and the sizing is given by an optimal power flow tool. A set of simulations is run using radial distribution test systems containing 69 and 476 busbars. A detailed comparison between War Optimization and other metaheuristics (including Particle Swarm Optimization) shows that the proposed method is efficient, as it presents better solutions more often.

Keywords

Distributed generation Power losses minimization War optimization Optimal power flow Metaheuristics 

List of Symbols

\(P_\mathrm{A} \)

Active power losses (kW).

\(P_i \)

Active power injection in busbar i (kW).

\(Q_i \)

Reactive power injection in busbar i (kV Ar).

\(P_j \)

Active power injection in busbar j (kW).

\(Q_j \)

Reactive power injection in busbar j kV Ar.

n

Number of busbars in the system.

\(R_{ij} \)

Electrical resistance of line between busbars i and j (\(\Omega )\).

\(V_i \)

Voltage in busbar i (V).

\(\delta _i \)

Angle in busbar i (rad).

\(V_j \)

Voltage in busbar j (V).

\(\delta _j\)

Angle in busbar j (rad).

\(V_j \)

Voltage in busbar j (V).

\(\mathrm{CH}_i \)

Binary variable representing the allocation of DG in busbar i.

\(P_{\mathrm{GD}i} \)

Active power generated by DG in busbar i(kW).

\(P_{\mathrm{G}i} \)

Active power generated in busbar i(kW).

\(P_{\mathrm{D}i} \)

Active load in busbar i(kW).

\(f_{Pij} \)

Active power flow between busbars i and j (kW).

\(Q_{\mathrm{GD}i} \)

Reactive power (kV Ar) generated by DG in busbar i(kV Ar).

\(Q_{\mathrm{G}i} \)

Reactive power generated in busbar i(kV Ar).

\(Q_{\mathrm{D}i} \)

Reactive load in busbar i (kV Ar).

\(f_{Qij} \)

Reactive power flow between busbars i and j (kV Ar).

\(P_{\mathrm{GD}i}^\mathrm{min} ;P_{\mathrm{GD}i}^\mathrm{max} \)

Lower and upper bounds of active power generated by the DG in busbar i.

\(Q_{\mathrm{GD}i}^\mathrm{min} ;Q_{\mathrm{GD}i}^\mathrm{max} \)

Lower and upper bounds of reactive power generated by the DG in busbar i.

Z

Represents all other variables of the formulation.

\(Z^\mathrm{min};Z^\mathrm{max}\)

Z variables lower and upper bounds.

Notes

Acknowledgements

The authors thank the “Foundation for Supporting Research in of Minas Gerais” (FAPEMIG), “Coordination for the Improvement of Higher Education Personnel” (CAPES), “Brazilian National Research Council” (CNPq) and “Electric Power National Institute” (INERGE) for supporting this work. This paper is part of GOHB, Heuristics and Bioinspired Optimization Research Group from the Federal University of Juiz de Fora.

References

  1. Agência Nacional de Energia Elétrica - ANEEL (2014). Procedimentos de Distribuição de Energia Elétrica no Sistema Elétrico Nacional, PRODIST, Módulo 8 - Qualidade da Energia Elétrica. Revisão 9.Google Scholar
  2. Babu, P. S., & Mohan, R. M. (2015). Optimal performance enhancement of DG for loss. In International Conference on Electrical, Electronics, Signals, Communication and Optimization (EESCO), Visakhapatnam.Google Scholar
  3. Baran, M., & Wu, F. (1989). Optimal capacitor placement on radial distribution systems. In IEEE Transactions on Power Delivery, 725–734.Google Scholar
  4. Coelho, F. C. R., Silva Junior, I. C., Dias, B. H., & Peres, W. (2015). Otimização via Mobilização Militar. In XI Congreso Chileno de Investigación Operativa, OPTIMA 2015, Antofagasta.Google Scholar
  5. Devia, S., & Geethanjalib, M. (2014). Optimal location and sizing determination of distributed generation and DSTATCOM using particle swarm optimization algorithm. International Journal of Electrical Power and Energy Systems, 62, 562–570.CrossRefGoogle Scholar
  6. Dias, B. H., de Oliveira, L. W., Gomes, F. V., Silva Junior, I. C., & Oliveira, E. J. (2012). Hybrid heuristic optimization approach for optimal Distributed Generation placement and sizing. In IEEE Power and Energy Society General Meeting, San Diego: CA.Google Scholar
  7. Gallego, R. A., Monticelli, A. J., & Romero, R. (2001). Optimal capacitor placement in radial distribution networks. IEEE Transactions on Power Systems, 16, 630–637.CrossRefGoogle Scholar
  8. Gomes, F. V., Carneiro Junior, S., & Pereira, J. L. R. (2006). A new distribution system reconfiguration approach using optimal power flow and sensitivity analysis for loss reduction. IEEE Transactions on Power Systems, 21, 1616–1623.CrossRefGoogle Scholar
  9. Jordehi, A. R. (2016). Allocation of distributed generation units in electric power systems: A review. Renewable and Sustainable Energy Reviews, 56, 893–905.CrossRefGoogle Scholar
  10. Kennedy, J., & Eberhart, R. (1995). Particle swarm optimization. IEEE International Conference on Neural Networks, 4, 1942–1948.CrossRefGoogle Scholar
  11. Moravej, Z., & Akhlaghi, A. (2013). A novel approach based on cuckoo search for DG allocation in distribution network. International Journal of Electrical Power & Energy Systems, 44, 672–679.Google Scholar
  12. Murty, V. V. S. N., & Kumar, A. (2015). Optimal placement of DG in radial distribution systems based on new voltage stability index under load growth. International Journal of Electrical Power and Energy Systems, 69, 246–256.Google Scholar
  13. Olamaie J., & Niknam, T. (2006) . Daily Volt/Var control in distribution networks with regard to DGs: A comparison of evolutionary methods. In IEEE Conference on Power India, New Delhi.Google Scholar
  14. Rahmani-andebili, M. (2016). Simultaneous placement of DG and capacitor in distribution network. Electric Power Systems Research, 131, 1–10.CrossRefGoogle Scholar
  15. Rosseti, G. J. S., Oliveira, E. J., Oliveira, L. W., & Silva, I. C, Jr. (2013). Optimal allocation of distributed generation with reconfiguration in electric distribution systems. Electric Power Systems Research, 103, 178–183.CrossRefGoogle Scholar
  16. Rueda-Medina, A. C., Franco, J. F., Rider, M. J., Padilha-Feltrin, A., & Romero, R. (2013). A mixed-integer linear programming approach for optimal type, size and allocation of distributed generation in radial distribution systems. Electric Power Systems Research, 97, 133–143.CrossRefGoogle Scholar
  17. Sfikas, E. E., Katsigiannis, Y. A., & Georgilakis, P. S. (2015). Simultaneous capacity optimization of distributed generation and storage in medium voltage microgrids. International Journal of Electrical Power and Energy Systems, 67, 101–113.CrossRefGoogle Scholar
  18. Wang, Z., Chen, B., Wang, J., Kim, J., & Begovic, M. M. (2014). Robust optimization based optimal DG placement in microgrids. IEEE Transactions on Smart Grid, 5, 2173–2182.CrossRefGoogle Scholar
  19. Yang, X.-S., & Deb, S. (2009). Cuckoo search via Lévy flights. In Proceedings of World Congress on Nature and Biologically Inspired Computing (NaBIC 2009), December 2009, India. IEEE Publications: USA, pp. 210–214.Google Scholar
  20. Yang, X.-S. (2009). Firefly algorithms for multimodal optimization. In Lecture Notes in Computer Sciences Stochastic Algorithms: Foundations and Applications, SAGA, (Vol. 5792, pp. 169–178).Google Scholar
  21. Yang, X.-S. (2010). A new metaheuristic bat-inspired algorithm. Studies in Computational Intelligence, 284, 65–74.zbMATHGoogle Scholar

Copyright information

© Brazilian Society for Automatics--SBA 2017

Authors and Affiliations

  • Francisco C. R. Coelho
    • 1
    • 2
  • Ivo C. da Silva Junior
    • 1
  • Bruno H. Dias
    • 1
    Email author
  • Wesley B. Peres
    • 2
  1. 1.Department of Electrical EnergyFederal University of Juiz de Fora (UFJF)Juiz de ForaBrazil
  2. 2.Department of Electrical EngineeringFederal University of São João del-ReiSão João del-ReiBrazil

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