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Energy Procurement via Hybrid Robust-Stochastic Approach

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Robust Energy Procurement of Large Electricity Consumers
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Abstract

High computational burden is the main disadvantage of the stochastic programming. Also, obtained results are not guaranteed the global optimal solution. On the other hand, by using robust optimization method, only one uncertain parameter can be modeled. In this chapter, a novel hybrid robust-stochastic approach is introduced to benefit advantages of the robust and stochastic methods and overcome the abovementioned problems. The application of the robust-stochastic approach is investigated in the power procurement problem of a large consumer, considering uncertainty of load demand, power price, and power output of renewable energy sources as wind turbine and photovoltaic system. The uncertainty load demand and generation of renewable energy sources are modeled by a set of discrete scenarios, while the robust optimization method is used to model power price uncertainty in the pool market. Using considered case study in the previous chapter, the power procurement problem is solved under severe uncertainty, and the numerical analysis is presented.

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References

  1. J.R. Birge, F. Louveaux, Introduction to Stochastic Programming (Springer, New York, 2011)

    Book  Google Scholar 

  2. M. Gheydi, A. Nouri, N. Ghadimi, Planning in microgrids with conservation of voltage reduction. IEEE Syst. J., 12(3), 2782–2790 (2017)

    Google Scholar 

  3. S. Nojavan, A. Najafi-Ghalelou, M. Majidi, K. Zare, Optimal bidding and offering strategies of merchant compressed air energy storage in deregulated electricity market using robust optimization approach. Energy 142, 250–257 (2018)

    Article  Google Scholar 

  4. P. Beraldi, A. Violi, G. Carrozzino, M.E. Bruni, A stochastic programming approach for the optimal management of aggregated distributed energy resources. Comput. Oper. Res. 96, 200–212 (2018)

    Article  Google Scholar 

  5. M. Peker, A.S. Kocaman, B.Y. Kara, A two-stage stochastic programming approach for reliability constrained power system expansion planning. Int. J. Electr. Power Energy Syst. 103, 458–469 (2018)

    Article  Google Scholar 

  6. M.-C. Hu, S.-Y. Lu, Y.-H. Chen, Stochastic–multiobjective market equilibrium analysis of a demand response program in energy market under uncertainty. Appl. Energy 182, 500–506 (2016)

    Article  Google Scholar 

  7. S. Nojavan, H. Ghesmati, K. Zare, Robust optimal offering strategy of large consumer using IGDT considering demand response programs. Electr. Power Syst. Res. 130, 46–58 (2016)

    Article  Google Scholar 

  8. R.S. Ferreira, L.A. Barroso, M.M. Carvalho, Demand response models with correlated price data: A robust optimization approach. Appl. Energy 96, 133–149 (2012)

    Article  Google Scholar 

  9. M. Rahimiyan, L. Baringo, Strategic bidding for a virtual power plant in the day-ahead and real-time markets: a price-taker robust optimization approach. IEEE Trans. Power Syst. 31(4), 2676–2687 (2016)

    Article  Google Scholar 

  10. S. Nojavan, B. Mohammadi-Ivatloo, K. Zare, Robust optimization based price-taker retailer bidding strategy under pool market price uncertainty. Int. J. Electr. Power Energy Syst. 73, 955–963 (2015)

    Article  Google Scholar 

  11. P. Xiong, P. Jirutitijaroen, C. Singh, A distributionally robust optimization model for unit commitment considering uncertain wind power generation. IEEE Trans. Power Syst. 32(1), 39–49 (2017)

    Article  Google Scholar 

  12. A. Sadeghi-Mobarakeh, A. Shahsavari, H. Haghighat, H. Mohsenian-Rad, Optimal market participation of distributed load resources under distribution network operational limits and renewable generation uncertainties. IEEE Trans. Smart Grid, 1–1 (2018), https://doi.org/10.1109/TSG.2018.2830751

  13. J. Ma, Z. Song, Y. Zhang, Y. Zhao, J.S. Thorp, Robust stochastic stability analysis method of DFIG integration on power system considering virtual inertia control. IEEE Trans. Power Syst. 32(5), 4069–4079 (2017)

    Article  Google Scholar 

  14. Q. Huang, Q.-S. Jia, X. Guan, Robust scheduling of EV charging load with uncertain wind power integration. IEEE Trans. Smart Grid 9(2), 1043–1054 (2018)

    Article  Google Scholar 

  15. Y. Sasaki, N. Yorino, Y. Zoka, I. Farid, Robust stochastic dynamic load dispatch against uncertainties. IEEE Trans. Smart Grid, 9(6), 5535–5542 (2017)

    Google Scholar 

  16. N.-N. Yan, L.-L. Ma, B. Liu, Research on robust stochastic optimization of multi-retailer competition under demand uncertainty, in 2008 International Conference on Machine Learning and Cybernetics, 2008, pp. 1699–1704

    Google Scholar 

  17. A.R. Doodman, M. Fesanghary, R. Hosseini, A robust stochastic approach for design optimization of air cooled heat exchangers. Appl. Energy 86(7–8), 1240–1245 (2009)

    Article  Google Scholar 

  18. Z. Tan et al., The optimization model for multi-type customers assisting wind power consumptive considering uncertainty and demand response based on robust stochastic theory. Energy Convers. Manag. 105, 1070–1081 (2015)

    Article  Google Scholar 

  19. L. Ji, D.X. Niu, G.H. Huang, An inexact two-stage stochastic robust programming for residential micro-grid management-based on random demand. Energy 67, 186–199 (2014)

    Article  Google Scholar 

  20. S.Z. Moghaddam, T. Akbari, Network-constrained optimal bidding strategy of a plug-in electric vehicle aggregator: A stochastic/robust game theoretic approach. Energy 151, 478–489 (2018)

    Article  Google Scholar 

  21. S. Nojavan, K. Zare, B. Mohammadi-Ivatloo, Robust bidding and offering strategies of electricity retailer under multi-tariff pricing. Energy Econ. 68, 359–372 (2017)

    Article  Google Scholar 

  22. G. He, Q. Chen, C. Kang, Q. Xia, Optimal offering strategy for concentrating solar power plants in joint energy, reserve and regulation markets. IEEE Trans. Sustain. Energy 7(3), 1245–1254 (2016)

    Article  Google Scholar 

  23. R. Dominguez, L. Baringo, A.J. Conejo, Optimal offering strategy for a concentrating solar power plant. Appl. Energy 98, 316–325 (2012)

    Article  Google Scholar 

  24. N. Ghadimi, An adaptive neuro-fuzzy inference system for islanding detection in wind turbine as distributed generation. Complexity 21(1), 10–20 (2015)

    Article  MathSciNet  Google Scholar 

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Asl, R.M., Zargin, E. (2019). Energy Procurement via Hybrid Robust-Stochastic Approach. In: Nojavan, S., Shafieezadeh, M., Ghadimi, N. (eds) Robust Energy Procurement of Large Electricity Consumers . Springer, Cham. https://doi.org/10.1007/978-3-030-03229-6_6

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  • DOI: https://doi.org/10.1007/978-3-030-03229-6_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03228-9

  • Online ISBN: 978-3-030-03229-6

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