Abstract
This paper proposes a Linear Adaptive Genetic Algorithm (LAGA) for optimal power flow (OPF) problem. The proposed approach offers faster convergence than the standard genetic algorithm. In this study, LAGA is applied to the 6-bus system and the IEEE 14-bus power system. Shunt capacitance, transformer taps and generator voltages are used as control system variables to minimize the system power loss. The output of the systems under investigation is compared with the output of a classical nonlinear optimization routine to evaluate the impact of LAGA technique to OPF. Moreover, to validate the performance of LAGA approach, a demonstration and comparison with earlier published results is presented. Simulation results are found to be effective and promising.
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Huneault, M.; Galiana, F.D.: A survey of the optimal power flow literature. IEEE Trans. Power Syst. 6, 762–770 (1991)
Lebow, M.; Rouhani, R.; Nadira, R.; Usoro, B.; Mehra, K.; Sobieski, W.; Pal, K. And Bhavaraju, P.: A hierarchical approach to reactive volt ampere (VAR) optimization system planning. IEEE Trans. Power Appl. Syst. 104, 2051–2057 (1985)
Iba, K.; Suzuki, H.; Suzuki, K. i.; Suzuki, K.: Practical reactive power allocation/operation planning using successive linear programming. IEEE Trans. Power Syst. 3, 558–566 (1988)
Mamandur K.: Emergency adjustments to var control variables to alleviate over-voltages, under-voltages and generator VAR limit violations. IEEE Trans. Power Appl. Syst. 101, 1040–1047 (1982)
Deeb, N.; Shahidehpour, S.: Linear reactive power optimization in a large power network using the decomposition approach. IEEE Trans. Power Syst. 5, 428–438 (1990)
Dommel, H.W.; Tinney, W.F.: Optimal power flow solutions. IEEE Trans. Power Appar. Syst. 87(10), 1866–1876. (1968). doi:10.1109/TPAS.1968.292150
Bhattacharya, A.; Chattopadhyay, P.K.: Biogeography-based optimization for solution of optimal power flow problem. In: International Conference on Electrical Engineering/Electronics Computer Telecommunications and Information Technology (ECTI-CON), pp. 435–439 (2010)
Rahul, J.; Sharma, Y.; Birla, D.: A new attempt to optimize optimal power flow based transmission losses using genetic algorithm. In: 4th International Conference on Computing Intelligent and Communication Networks (CICN), pp. 566–570. (2012). doi:10.1109/CICN.2012.212
Lai, L.; Ma, J.: Improved genetic algorithms for optimal power flow under both normal and contingent operation states. Int. J. Electr. Power Energy Syst. 19, 287–292 (1997)
Wu, Q.; Cao, Y.; Wen, J.: Optimal reactive power dispatch using an adaptive genetic algorithm. Int. J. Electr. Power Energy Syst. 20, 563–569 (1998)
Kılı ç, U.; Ayan, K.:Optimal power flow solution of two-terminal HVDC systems using genetic algorithm. J. Electr. Eng. (2013). doi:10.1007/s00202-013-0277-7
Ghanizadeh, T.; Babaei, E.: Optimal power flow using iteration particle swarm optimization. IEEE 5th India International Conference on Power Electronics (IICPE) (2012). doi:10.1109/IICPE.2012.6450403
Smita, P.; Vaidya, B.: Particle swarm optimization based optimal power flow for reactive loss minimization. In: IEEE Student’s Conference on Electrical, Electronics and Computer Science (SCEECS), pp. 1-4 (2012). doi:10.1109/SCEECS.2012.6184743
Neelima, S.; Subramanyam, P.: Optimal capacitor placement in distribution networks for loss reduction using differential evolution incorporating dimension reducing load flow for different load levels. In: IEEE Energytech, pp. 1–7 (2012). doi:10.1109/EnergyTech.2012.6304693
Ravi, C.; Rajan, C.; Christober, A.: A comparative analysis of differential evolution and genetic algorithm for solving optimal power flow. IEEE 5th Power India Conference (2012). doi:10.1109/PowerI.2012.6479488
Wu, Q.; Ma, J.: Power system optimal reactive dispatch using evolutionary programming. IEEE Trans. Power Syst. 10, 1243–1249 (1995)
Bhattacharya, A.; Chattopadhyay, K.: Biogeography-based optimization for different economic load dispatch problems. IEEE Trans. Power Syst. (2010). doi:10.1109/TPWRS.2009.2034525
Silas Stephen,D.; Somasundaram, P.: Solution for multi-objective reactive power optimization using fuzzy guided tabu search. Arab. J. Sci. Eng. 37(8), 2231–2241 (2012)
Abusorrah, A.; Attia, A.; Al-Turki, Y.: Optimal power flow based on Linear Adapted Genetic Algorithm. 9th WSEAS, International Conference on Application of Electrical Engineering, pp. 199–203 (2010)
Al-Hajri, M.; Abido, M.: Assessment of genetic algorithm selection, crossover and mutation techniques in reactive power optimization. IEEE Congress on Evolution Computing (CEC) (2009)
Holland, H.: Adaptation in Natural and Artificial Systems. MIT Press, Ann Arbor (1992)
Bäck, Th.: Self-adaptation in genetic algorithms. Proceedings of the First European Conference on Artificial Life, pp. 263–271 (1992)
Attia, A.; Horá ček, P.: Adaptation of genetic algorithms for optimization problem solving. 7th International Mendel Conference on Soft Computing, pp. 36–41 (2001)
Goldberg, D.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA (1989). ISBN: 0201157675
Srinivas, M.; Patnaik, L.: Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Trans. Syst. Man Cybern. 24, 656–667 (1994)
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Abusorrah, A.M. The Application of the Linear Adaptive Genetic Algorithm to Optimal Power Flow Problem. Arab J Sci Eng 39, 4901–4909 (2014). https://doi.org/10.1007/s13369-014-1164-x
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DOI: https://doi.org/10.1007/s13369-014-1164-x