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Economic Dispatch Using Adapted Particle Swarm Optimization

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Soft Computing for Problem Solving

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 547))

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Abstract

In power system process Economic Dispatch (ED) foremost typical task. Minimize the total fuel cost of the generating units is the key objective of this problem subjected to satisfying inequality and equality constraints. Also, it converted into nonconvex and nonlinear complicated optimization problem, due to some practical constraints like prohibited operating zones, transmission losses and ramp rate limits. Recently, particle swarm optimization (PSO) is one of the well-known algorithm for solving nonconvex optimization problems. But, particularly for multimodal problem it may suffer to trap at local minima. To overcome the issues of PSO, this paper offering an adapted particle swarm optimization (viz. aPSO) for solving ED problems. In aPSO, new factors for inertia, cognitive and social components (i.e. acceleration coefficients and inertia weight) are familiarized. As per the concerts these factors are dynamically changed and properly maintained the diversity of the PSO. The projected aPSO is implemented to solve three altered unit test structures (3, 6 and 15) of ED problem. The experimental results of aPSO compared with related algorithms. It shows that the performance of aPSO are enhanced than the other algorithms in terms of searching ability and rate of convergence.

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References

  1. Wood AJ, Wollenberg BF (1996) Power generation. In: Operation and control, 2nd ed. Wiley, New York

    Google Scholar 

  2. Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Opt 11:341–359

    Article  MathSciNet  MATH  Google Scholar 

  3. Kennedy J, Eberhart R (1995) Particle swarm optimization. In: IEEE international conference on neural networks, vol 4, pp 1942–1948

    Google Scholar 

  4. Das KN, Parouha RP (2015) An ideal tri-population approach for unconstrained optimization and applications. App Math Comput 256:666–701

    Article  MathSciNet  MATH  Google Scholar 

  5. Parouha RP, Das KN (2016) A novel hybrid optimizer for solving Economic Load Dispatch problem. Int J Electr Power Energ Syst 78:108–126

    Article  Google Scholar 

  6. Chen Y, Li L, Peng H, Xiao J, Wu Q (2018) Dynamic multi-swarm differential learning particle swarm optimizer. Swarm Evol Comput 39:209–221

    Article  Google Scholar 

  7. Espitia HE, Sofrony JI (2018) Statistical analysis for vortex particle swarm optimization. App Soft Comput 67:370–386

    Article  Google Scholar 

  8. Yu H, Tan Y, Zeng J, Sun C, Jin Y (2018) Surrogate-assisted hierarchical particle swarm optimization. Inf Sci 454–455:59–72

    Article  MathSciNet  Google Scholar 

  9. Chen Y, Li L, Xiao J, Yang Y, Liang J, Li T (2018) Particle swarm optimizer with crossover operation. Eng App Art Intel 70:59–169

    Google Scholar 

  10. Parouha RP (2019) Nonconvex/nonsmooth economic load dispatch using modified time-varying particle swarm optimization. Comput Intel 1–28. https://doi.org/10.1111/coin.12210

  11. Hosseini SA, Hajipour A, Tavakoli H (2019) Design and optimization of a CMOS power amplifier using innovative fractional-order particle swarm optimization. App Soft Comput 85:1–10

    Google Scholar 

  12. Kohler M, Vellasco MMBR, Tanscheit R (2019) PSO+: a new particle swarm optimization algorithm for constrained problems. App Soft Comput 85:1–26

    Google Scholar 

  13. Khajeh A, Ghasemi MR, Arab HG (2019) Modified particle swarm optimization with novel population initialization. J Inf Opt Sci 40(6):1167–1179

    MathSciNet  Google Scholar 

  14. Ang KM, Lim WH, Isa NAM, Tiang SS, Wong CH (2020) A constrained multi-swarm particle swarm optimization without velocity for constrained optimization problems. Exp Syst App 140:1–23

    Google Scholar 

  15. Parouha RP, Verma P (2020) An innovative hybrid algorithm to solve nonconvex economic load dispatch problem with or without valve point effects. Int Trans Elect Energ Syst 34(1):1–67

    Google Scholar 

  16. Huynh DC, Dunnigan MW (2010) Parameter estimation of an induction machine using advanced particle swarm optimization algorithms. IET J Elec Power App 4:748–760

    Article  Google Scholar 

  17. Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: Proceedings of IEEE international conference on evolutionary computation, Piscataway, New Jersey, pp 69–73

    Google Scholar 

  18. Alatas B, Akin E, Ozer AB (2009) Chaos embedded particle swarm optimization algorithms. Chaos Solitons Fractals 40:1715–1734

    Article  MathSciNet  MATH  Google Scholar 

  19. Lee T-Y, Chen C-L (2007) Unit commitment with probabilistic reserve: an IPSO approach. Energ Convers Manag 48(6):486–493

    Article  Google Scholar 

  20. Selvakumar AI, Thanushkodi K (2007) A new particle swarm optimization solution to nonconvex economic dispatch problems. IEEE Trans Power Syst 22:42–51

    Article  Google Scholar 

  21. Chaturvedi KT, Pandit M, Srivastava L (2009) Particle swarm optimization with time varying acceleration coefficients for non-convex economic power dispatch. Int J Electr Power Energ Syst 31:249–257

    Article  Google Scholar 

  22. Khokhar B, Parmar KPS, Dahiya S (2012) An efficient particle swarm optimization with time varying acceleration coefficients to solve economic dispatch problem with valve point loading. Energ Power 2(4):74–80

    Article  Google Scholar 

  23. Abdullah MN, Bakar AH, Rahim NA, Mokhlis H, Illias HA, Jamian JJ (2014) Modified particle swarm optimization with time varying acceleration coefficients for economic load dispatch with generator constraints. J Electr Eng Technol 9(1):15–26

    Article  Google Scholar 

  24. Sinha N, Chakrabarti R, Chattopadhyay PK (2003) Evolutionary programming techniques for economic load dispatch. IEEE Trans Evol Comput 7:83–94

    Article  Google Scholar 

  25. Zwe-Lee G (2003) Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans Power Syst 18:1187–1195

    Article  Google Scholar 

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Acknowledgements

This research supported by DST-SERB Govt. of India; grant number CRG/2020/000817.

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Correspondence to Raghav Prasad Parouha .

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Parouha, R.P. (2023). Economic Dispatch Using Adapted Particle Swarm Optimization. In: Thakur, M., Agnihotri, S., Rajpurohit, B.S., Pant, M., Deep, K., Nagar, A.K. (eds) Soft Computing for Problem Solving. Lecture Notes in Networks and Systems, vol 547. Springer, Singapore. https://doi.org/10.1007/978-981-19-6525-8_39

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