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Multi-area economic dispatching using improved grasshopper optimization algorithm

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Abstract

In this study a new optimization algorithm is presented to solve the multi-area economic dispatching (MAED) problem. The studied system includes the tie-line constraints including transmission losses, prohibited operating zones, multiple fuels, and valve-point loading. For optimized solving the MAED algorithm, grasshopper optimization algorithm (GOA) is utilized. GOA is a newly introduced swarm-based optimization algorithm that is inspired by the swarming behavior of the grasshopper insects. For validating the proposed method, it is compared with three different case studies and the results have been compared with some different meta-heuristics such as particle swarm optimization, artificial bee colony, evolutionary programming, and differential evolution to demonstrate the capability of the presented system to solve the MAED problems.

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References

  • Abedinia O, Amjady N, Ghadimi N (2018) Solar energy forecasting based on hybrid neural network and improved metaheuristic algorithm. Comput Intell 34:241–260

    Article  MathSciNet  Google Scholar 

  • Aghajani Gholamreza, Ghadimi Noradin (2018) Multi-objective energy management in a micro-grid. Energy Rep 4:218–225

    Article  Google Scholar 

  • Ahmadian I, Abedinia O, Ghadimi N (2014) Fuzzy stochastic long-term model with consideration of uncertainties for deployment of distributed energy resources using interactive honey bee mating optimization. Front Energy 8(4):412–425

    Article  Google Scholar 

  • Akbary P et al (2019) Extracting appropriate nodal marginal prices for all types of committed reserve. Comput Econ 53(1):1–26

    Article  Google Scholar 

  • Bandaghiri PS, Moradi N, Tehrani SS (2016) Optimal tuning of PID controller parameters for speed control of DC motor based on world cup optimization algorithm. Parameters 1:2

    Google Scholar 

  • Basu M (2013) Artificial bee colony optimization for multi-area economic dispatch. Int J Electr Power Energy Syst 49:181–187

    Article  Google Scholar 

  • Chiang C-L (2005) Improved genetic algorithm for power economic dispatch of units with valve-point effects and multiple fuels. IEEE Trans Power Syst 20:1690–1699

    Article  Google Scholar 

  • Eskandari NM et al (2014) A new multiobjective allocator of capacitor banks and distributed generations using a new investigated differential evolution. Complexity 19(5):40–54

    Article  MathSciNet  Google Scholar 

  • Fister I Jr, Perc M, Kamal SM, Fister I (2015) A review of chaos-based firefly algorithms: perspectives and research challenges. Appl Math Comput 252:155–165

    MathSciNet  MATH  Google Scholar 

  • Gaing Z-L (2003) Particle swarm optimization to solving the economic dispatch considering the generator constraints. IEEE Trans Power Syst 18:1187–1195

    Article  Google Scholar 

  • Ghasemi M, Aghaei J, Akbari E, Ghavidel S, Li L (2016) A differential evolution particle swarm optimizer for various types of multi-area economic dispatch problems. Energy 107:182–195

    Article  Google Scholar 

  • Gollou AR, Noradin G (2017) A new feature selection and hybrid forecast engine for day-ahead price forecasting of electricity markets. J Intell Fuzzy Syst 32(6):4031–4045

    Article  Google Scholar 

  • Jalili Aref, Ghadimi Noradin (2016) Hybrid harmony search algorithm and fuzzy mechanism for solving congestion management problem in an electricity market. Complexity 21(S1):90–98

    Article  MathSciNet  Google Scholar 

  • Kang Q, Sheng W, An J, Han J (2018) Power economic dispatching subject to DG uncertainty via bare-bones PSO. J Chin Inst Eng 41:503–511

    Article  Google Scholar 

  • Kocarev L, Jakimoski G (2001) Logistic map as a block encryption algorithm. Phys Lett A 289:199–206

    Article  MathSciNet  Google Scholar 

  • Liu B, Wang L, Jin Y-H, Tang F, Huang D-X (2005) Improved particle swarm optimization combined with chaos. Chaos Solitons Fractals 25:1261–1271

    Article  Google Scholar 

  • Luo J, Chen H, Xu Y, Huang H, Zhao X (2018) An improved grasshopper optimization algorithm with application to financial stress prediction. Appl Math Model 64:654–668

    Article  MathSciNet  Google Scholar 

  • Manoharan P, Kannan P, Baskar S, Iruthayarajan MW (2009) Evolutionary algorithm solution and KKT based optimality verification to multi-area economic dispatch. Int J Electr Power Energy Syst 31:365–373

    Article  Google Scholar 

  • Mitić M, Vuković N, Petrović M, Miljković Z (2015) Chaotic fruit fly optimization algorithm. Knowl Based Syst 89:446–458

    Article  Google Scholar 

  • Moallem P, Razmjooy N (2012) Optimal threshold computing in automatic image thresholding using adaptive particle swarm optimization. J Appl Res Technol 10:703–712

    Article  Google Scholar 

  • Mohammadi M, Talebpour F, Safaee E, Ghadimi N, Abedinia O (2018) Small-scale building load forecast based on hybrid forecast engine. Neural Process Lett 48:329–351

    Article  Google Scholar 

  • Mokarram M, Nayeripour M, Niknam T, Waffenschmidt E (2018) Multi-area economic dispatch considering generation uncertainty. In: 2018 7th International energy and sustainability conference (IESC), 2018, pp 1–6

  • Morsali R et al (2014) A new multi-objective procedure for solving nonconvex environmental/economic power dispatch. Complexity 20(2):47–62

    Article  MathSciNet  Google Scholar 

  • Morsali R et al (2015) Solving a novel multiobjective placement problem of recloser and distributed generation sources in simultaneous mode by improved harmony search algorithm. Complexity 21(1):328–339

    Article  MathSciNet  Google Scholar 

  • Noruzi A et al (2015) A new method for probabilistic assessments in power systems, combining Monte Carlo and stochastic-algebraic methods. Complexity 21(2):100–110

    Article  MathSciNet  Google Scholar 

  • Price K, Storn RM, Lampinen JA (2006) Differential evolution: a practical approach to global optimization. Springer Science & Business Media, New York

    MATH  Google Scholar 

  • Rahnamayan S, Tizhoosh HR, Salama MM (2008) Opposition-based differential evolution. IEEE Trans Evol Comput 12:64–79

    Article  Google Scholar 

  • Razmjooy N, Ramezani M (2016) Training wavelet neural networks using hybrid particle swarm optimization and gravitational search algorithm for system identification. Int J Mechtron Electr Comput Technol 6:2987

    Google Scholar 

  • Razmjooy N, Shahrezaee M (2019) Solving ordinary differential equations using world cup optimization algorithm. In: 49th annual Iranian mathematics conference

  • Razmjooy N, Khalilpour M, Ramezani M (2016) A new meta-heuristic optimization algorithm inspired by FIFA world cup competitions: theory and its application in PID designing for AVR system. J Control Autom Electr Syst 27:419–440

    Article  Google Scholar 

  • Razmjooy N, Madadi A, Ramezani M (2017) Robust control of power system stabilizer using world cup optimization algorithm. Int J Inf Secur Syst Manag 5:7

    Google Scholar 

  • Rim C, Piao S, Li G, Pak U (2018) A niching chaos optimization algorithm for multimodal optimization. Soft Comput 22:621–633

    Article  Google Scholar 

  • Saremi S, Mirjalili S, Lewis A (2017) Grasshopper optimisation algorithm: theory and application. Adv Eng Softw 105:30–47

    Article  Google Scholar 

  • Shahrezaee M (2017) Image segmentation based on world cup optimization algorithm. Majlesi J Electr Eng 11:2

    Google Scholar 

  • Sharifi S et al (2017) Environmental economic dispatch using improved artificial bee colony algorithm. Evol Syst 8(3):233–242

    Article  Google Scholar 

  • Sharma M, Pandit M, Srivastava L (2011) Reserve constrained multi-area economic dispatch employing differential evolution with time-varying mutation. Int J Electr Power Energy Syst 33:753–766

    Article  Google Scholar 

  • Shoults RR, Chang SK, Helmick S, Grady WM (1980) A practical approach to unit commitment, economic dispatch and savings allocation for multiple-area pool operation with import/export constraints. In: IEEE Transactions on power apparatus and systems, pp 625–635, 1980

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

    Article  Google Scholar 

  • Sudhakar A, Chandram K, Jayalaxmi A (2013) Multi area economic dispatch using secant method. J Electr Eng Technol 8:744–751

    Article  Google Scholar 

  • Xiang T, Liao X, Wong K-W (2007) An improved particle swarm optimization algorithm combined with piecewise linear chaotic map. Appl Math Comput 190:1637–1645

    MathSciNet  MATH  Google Scholar 

  • Yang D, Li G, Cheng G (2007) On the efficiency of chaos optimization algorithms for global optimization. Chaos Solitons Fractals 34:1366–1375

    Article  MathSciNet  Google Scholar 

  • Yang J, Jiang Q, Wang L, Liu S, Zhang Y-D, Li W et al (2019) An adaptive encoding learning for artificial bee colony algorithms. J Comput Sci 30:11–27

    Article  Google Scholar 

  • Yazdandoost M, Khazaei P, Saadatian S, Kamali R (2018) Distributed optimization strategy for multi area economic dispatch based on electro search optimization algorithm. In: 2018 World Automation Congress (WAC), 2018, pp 1–6

  • Zhang B, Yan N (2018) Research on economic dispatching method of active distribution network based on multi-microgrids. In: 2018 IEEE International conference on applied superconductivity and electromagnetic devices (ASEMD), 2018, pp 1–2

  • Zhu J, Momoh JA (2001) Multi-area power systems economic dispatch using nonlinear convex network flow programming. Electr Power Syst Res 59:13–20

    Article  Google Scholar 

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Correspondence to Peng Zhang.

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Zhang, P., Ma, W., Dong, Y. et al. Multi-area economic dispatching using improved grasshopper optimization algorithm. Evolving Systems 12, 837–847 (2021). https://doi.org/10.1007/s12530-019-09320-6

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