Larouci Benyekhlef, Sitayeb Abdelkader, Boudjella Houari, Ayad Ahmed Nour El Islem

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The essential objective of optimal power flow is to find a stable operating point which minimizes the cost of the production generators and its losses, and keeps the power system acceptable in terms of limits on the active and reactive powers of the generators. In this paper, we propose the nature-inspired Cuckoo search algorithm (CSA) to solve economic/emission dispatch problems with the incorporation of FACTS devices under the valve-point loading effect (VPE). The proposed method is applied on different test systems cases to minimize the fuel cost and total emissions and to see the influence of the integration of FACTS devices. The obtained results confirm the efficiency and the robustness of the Cuckoo search algorithm compared to other optimization techniques published recently in the literature. In addition, the simulation results show the advantages of the proposed algorithm for optimizing the production fuel cost, total emissions and total losses in all transmission lines.


Combined economic emission dispatch, OPF, Cuckoo search algorithm, VPE, FACTS devices.

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J. Olamaei, et al. "Economic environmental unit commitment for integrated CCHP-thermal-heat only system with considerations for valve-point effect based on a heuristic optimization algorithm", Energy, vol. 159, pp. 737-750, Sep. 2018.

G. D. Surywanshi, et al, "4-E and life cycle Analyses of a Supercritical Coal Direct Chemical Looping Combustion Power Plant with Hydrogen and Power Co-generation", Energy, vol. 217, p. 119418, 2020.

T. Calheiros-Cabral, et al, "Evaluation of the annual electricity production of a hybrid breakwater-integrated wave energy converter", Energy, vol. 213, p. 118845, Dec. 2020.

A. Skorek-Osikowska, et al, "Thermodynamic, economic and environmental assessment of energy systems including the use of gas from manure fermentation in the context of the Spanish potential", Energy, vol.200, 117452, June 2020.

W. W. Clark, Agile Energy Systems: Global Distributed On-Site and Central Grid Power. Elsevier, 2017.

X. P. Zhang, "A framework for operation and control of smart grids with distributed generation", In Proceedings of IEEE Power and Energy Society General Meeting-Conversion and Delivery of Electrical Energy in the 21st Century, IEEE, 2008, pp. 1-5.

B. Larouci, et al, "Amélioration de l’influence des variations paramétriques sur les performances de l’UPFC", Acta Electrotehnica, vol. 53, pp. 187–191, May 2012.

L. J. Cai, et al, "Optimal choice and allocation of FACTS devices in deregulated electricity market using genetic algorithms". In Proceedings of the IEEE PES Power Systems Conference and Exposition, IEEE, 2004, pp. 201-207.

B. Sereeter, et al, "Optimal power flow formulations and their impacts on the performance of solution methods", In Proceedings of the IEEE Power & Energy Society General Meeting (PESGM), IEEE, 2019, pp. 1-5.

X. S. Yang, et al, "From swarm intelligence to metaheuristics: nature-inspired optimization algorithms", Computer, vol. 49, pp. 52-59, Sept. 2016.

S. Binitha and SS. Sathya, "A survey of bio inspired optimization algorithms", Int. J. Soft Comput. Eng., vol. 2, pp. 137-151, May 2012.

L. N. de Castro, "Fundamentals of natural computing", Phys. Life Rev., vol. 4, pp. 1-36, 2007.

A. A. El-Fergany and H. M. Hasanien, "Salp swarm optimizer to solve optimal power flow comprising voltage stability analysis", Neural Comput. Appl., vol. 32, pp. 5267-5283, May 2020.

E. H. Talbi, et al, "Solution of Economic and Environmental Power Dispatch Problem of an Electrical Power System using BFGS-AL Algorithm", Procedia Comput. Sci., vol. 170, pp. 857-862, April 2020.

K. Srilakshmi, et al, "An enhanced most valuable player algorithm based optimal power flow using Broyden's method", Sustain. Energy Technol. Assess., vol. 42, pp. 100801, Sept. 2020.

E. Mohagheghi, et al, "A survey of real-time optimal power flow ", Energies, vol. 11, pp. 3142, Nov. 2018.

H. J.Touma, "Study of the economic dispatch problem on IEEE 30-bus system using whale optimization algorithm", Int. Journal Eng. Technol. Sci., vol. 5, pp. 11-18, June 2016.

S. Espinosa, D. A. Cazco and M. Y. Salcedo, "Economic dispatch hydrothermal system with CO2 emissions constraints", IEEE Latin America Trans., vol. 15, pp. 2090-2096, Nov. 2017.

H. Bouchekara, "Solution of the optimal power flow problem considering security constraints using an improved chaotic electromagnetic field optimization algorithm", Neural Comput. Appl., vol. 32, pp. 2683-2703, April 2020.

Z. Yang, et al, "Optimal power flow in AC DC grids with discrete control devices", IEEE Trans. Power Syst., vol. 33, pp. 1461-1472, March 2017.

A. F. Attia, R. A. El Sehiemy and H. M. Hasanien, "Optimal power flow solution in power systems using a novel Sine-Cosine algorithm", Int. J. Electr. Power Energy Syst., vol. 99, pp. 331-343, July 2018.

Y. Tang, K. Dvijotham and S. Low, "Real-time optimal power flow", IEEE Trans. Smart Grid, vol. 8, pp. 2963-2973, Nov. 2017.

O. Herbadji, L. Slimani and T. Bouktir, "Optimal power flow with four conflicting objective functions using multiobjective ant lion algorithm: a case study of the Algerian electrical network", Iran. J. Electr. Electron. Eng., vol. 15, pp. 94-113, March 2019.

C. L. Chiang, "Artificial Immune System for Economic Dispatch Problems Considering Power Generators having Valve-Point Loadings", In Proceedings of the 7th International Conference on Control, Decision and Information Technologies (CoDIT), IEEE, 2020, pp. 501-504.

H. Boudjella, et al, "Solution of Economic Load Dispatch Problems Using Novel Improved Harmony Search Algorithm", Int. J. Electr. Eng. Inform., vol. 13, no. 1, pp. 218-241, March 2021.

Y. Yang, et al, "Chaos firefly algorithm with self-adaptation mutation mechanism for solving large-scale economic dispatch with valve-point effects and multiple fuel options", IEEE Access, vol. 6, pp. 45907-45922, Aug. 2018.

C. L. Chiang, "An optimal economic dispatch algorithm for large scale power systems with cogeneration units", Eur. J. Eng. Res. Sci., vol. 1, pp. 10-16, 2016.

L. H. Pham, et al, "Adaptive cuckoo search algorithm based method for economic load dispatch with multiple fuel options and valve point effect", Int. J. Hybrid Inf. Technol., vol. 9, no. 1, pp. 41-50, Dec. 2016.

I. N. Trivedi, et al, "An economic load dispatch and multiple environmental dispatch problem solution with microgrids using interior search algorithm", Neural Comput. Appl., vol. 30, pp. 2173-2189, Oct. 2018.

P. Balachandar, S. Ganesan, N. Jayakumar and S. Subramanian, "Economic/environmental dispatch of an interconnected power system considering Multiple Fuel Sources", In Proceedings of the International Conference on Circuit, Power and Computing Technologies (ICCPCT), IEEE, 2017, pp. 1-7.

F. Jabari, M. Shamizadeh and B. Mohammadi‐Ivatloo, "Risk‐constrained day‐ahead economic and environmental dispatch of thermal units using information gap decision theory", Int. Trans. Electr. Energy Syst., vol. 29, pp. e2704, Feb. 2019.

F. P. Mahdi, et al, "A quantum‐inspired particle swarm optimization approach for environmental/economic power dispatch problem using cubic criterion function", Int. Trans. Electr. Energy Syst., vol. 28, pp. e2497, March 2018.

Z. Xin-gang, et al, "Economic-environmental dispatch of microgrid based on improved quantum particle swarm optimization", Energy, vol. 195, pp. 117014, March 2020.

M. Basu, "Economic environmental dispatch using multi-objective differential evolution", Appl. Soft Comput., vol. 11, no. 2, pp. 2845-2853, March 2011.

B. Gjorgiev and M. Čepin, "A multi-objective optimization based solution for the combined economic-environmental power dispatch problem", Eng. Appl. Artif. Intell., vol. 26, no. 1, pp. 417-429, Jan. 2013.

M. Saravanan, et al, "Application of particle swarm optimization technique for optimal location of FACTS devices considering cost of installation and system loadability", Electr. Power Syst. Res., vol. 77, pp. 276-283, March 2007.

M. Saravanan, et al, "Application of PSO technique for optimal location of FACTS devices considering system loadability and cost of installation", In Proceedings of the International Power Engineering Conference, IEEE, 2005, pp. 716-721.

P. K. Tiwari and Y. R. Sood, "Optimal location of FACTS devices in power system using genetic algorithm", In Proceedings of the World Congress on Nature & Biologically Inspired Computing (NaBIC), IEEE, pp. 1034-1040, 2009.

A. A. Alabduljabbar and J. V. Milanović, "Assessment of techno-economic contribution of FACTS devices to power system operation", Electr. Power Syst. Res., vol. 80, no. 10, pp. 1247-1255, Oct. 2010.

H. R. Baghaee, et al, "Security/cost-based optimal allocation of multi-type FACTS devices using multi-objective particle swarm optimization ", Simulation, vol. 88, pp. 999-1010, March 2012.

M. Ćalasan, et al, "Optimal Allocation of Static Var Compensators in Electric Power Systems", Energies, vol. 13, pp. 3219, June 2020.

M. Lima and S. L. Nilsson, Technical Description of Static Var Compensators (SVC): Flexible AC Transmission Systems FACTS. Springer, 2020, Chapter 3, pp. 155-206.

B. Larouci, L. Benasla, A. Belmadani and M. Rahli, "Cuckoo search algorithm for solving economic power dispatch problem with consideration of FACTS devices", Sci. Bull. series C – Electri. Eng. Comput. Sci., vol. 79, pp. 43-54, 2017.

X. S. Yang, and S. Deb, "Cuckoo search: recent advances and applications", Neural Comput. Appl., vol. 24, pp. 169-174, Jan. 2014.

X. S. Yang and S. Deb, Suash, "Multiobjective cuckoo search for design optimization". Comput. Oper. Res., vol. 40, pp. 1616-1624, June 2013.

X. S. Yang and S. Deb, "Cuckoo search via Lévy flights", In Proceedings of the World congress on nature & biologically inspired computing (NaBIC), IEEE, 2009, pp. 210-214.

X. S. Yang and S. Deb, "Engineering optimisation by cuckoo search", Int. J. Math. Model. Numer. Optim., vol. 1, pp. 330-343, Dec. 2010.

X. S. Yang, S. Deb, M. Karamanoglu and X. He, "Cuckoo search for business optimization applications", In Proceedings of the National Conference on Computing and Communication Systems, IEEE, 2012, pp. 1-5.

R. L. Kherfane, et al, "Solving economic dispatch problem using hybrid GA-MGA", Energy Procedia, vol. 50, pp. 937-944, 2014.

A. N. Afandi and H. Miyauchi, "A New Evolutionary Method for Solving Combined Economic and Emission Dispatch", Energy Power Eng., vol. 5, pp. 774, July 2013.

H. Boudjella "Calcul de la répartition optimale des puissances dans un réseau électrique par les méthodes métaheuristiques", Ph.D thesis, University of Science and Technology of Mohammed Boudiaf Oran USTO, Algeria, 2021.

A. Gil, J. Segura and N. M. Temme, Numerical methods for special functions. Society for Industrial and Applied Mathematics, 2007.


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