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Robust Optimization-Based Energy Procurement

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Robust Energy Procurement of Large Electricity Consumers

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Abstract

In this chapter, the robust optimization approach (ROA), which is one of the most popular uncertainty modeling methods, is used to solve the power procurement problem of a large consumer under the power price uncertainty considering 30% variation in the price. In contrast to stochastic optimization, ROA is rather a deterministic and set-based method. In addition, the robust optimization method investigates the effect of an uncertain parameter on the optimal result, which aims to reduce the sensitivity of the optimal result to the uncertain parameter. To solve the problem, the standard MILP formulation of proposed model based on deterministic formulation is provided and solved under CLPX solver in GAMS optimization program. The comparing obtained results with the deterministic case show that by increasing the power price in the pool market, the large consumer seeks to procure its required demand using other sources as self-generating units, which makes the consumer robust against the price volatility of the market.

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References

  1. H.A. Bagal, Y.N. Soltanabad, M. Dadjuo, K. Wakil, N. Ghadimi, Risk-assessment of photovoltaic-wind-battery-grid based large industrial consumer using information gap decision theory. Sol. Energy 169, 343–352 (2018)

    Article  Google Scholar 

  2. N. Ghadimi, A new hybrid algorithm based on optimal fuzzy controller in multimachine power system. Complexity 21(1), 78–93 (2015)

    Article  MathSciNet  Google Scholar 

  3. D. Bertsimas, M. Sim, The price of robustness. Oper. Res. 52(1), 35–53 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  4. D. Bertsimas, D.B. Brown, C. Caramanis, Theory and applications of robust optimization. SIAM Rev. 53(3), 464–501 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. 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 

  6. I. Ahmadian, O. Abedinia, N. Ghadimi, 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 (2014)

    Article  Google Scholar 

  7. Z. Haider, H. Charkhgard, C. Kwon, A robust optimization approach for solving problems in conservation planning. Ecol. Model. 368, 288–297 (2018)

    Article  Google Scholar 

  8. A. Noruzi, T. Banki, O. Abedinia, N. Ghadimi, A new method for probabilistic assessments in power systems, combining Monte Carlo and stochastic-algebraic methods. Complexity 21(2), 100–110 (2015)

    Article  MathSciNet  Google Scholar 

  9. Y. Zhang, J. Tang, A robust optimization approach for itinerary planning with deadline. Transp. Res. E Logist. Transp. Rev. 113, 56–74 (2018)

    Article  Google Scholar 

  10. R.M. Lima, A.Q. Novais, A.J. Conejo, Weekly self-scheduling, forward contracting, and pool involvement for an electricity producer. An adaptive robust optimization approach. Eur. J. Oper. Res. 240(2), 457–475 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  11. Z. Geng, A.J. Conejo, Q. Chen, C. Kang, Power generation scheduling considering stochastic emission limits. Int. J. Electr. Power Energy Syst. 95, 374–383 (2018)

    Article  Google Scholar 

  12. S. Nojavan, H. Allah Aalami, Stochastic energy procurement of large electricity consumer considering photovoltaic, wind-turbine, micro-turbines, energy storage system in the presence of demand response program. Energy Convers. Manag. 103, 1008–1018 (2015)

    Article  Google Scholar 

  13. N. Sayyad, B. Mohammadi-Ivatloo, K. Zare, Optimal bidding strategy of electricity retailers using robust optimisation approach considering time-of-use rate demand response programs under market price uncertainties. IET Gener. Transm. Distrib. 9(4), 328–338 (2015)

    Article  Google Scholar 

  14. A.J. Conejo, M. Carrión, J.M. Morales, Decision Making Under Uncertainty in Electricity Markets, vol 153 (Springer, Boston, 2010)

    MATH  Google Scholar 

  15. A. Najafi-Ghalelou, S. Nojavan, K. Zare, Heating and power hub models for robust performance of smart building using information gap decision theory. Int. J. Electr. Power Energy Syst. 98, 23–35 (2018)

    Article  Google Scholar 

  16. R. Wang, P. Wang, G. Xiao, A robust optimization approach for energy generation scheduling in microgrids. Energy Convers. Manag. 106, 597–607 (2015)

    Article  Google Scholar 

  17. Y. Zhang, N. Gatsis, G.B. Giannakis, Robust energy management for microgrids with high-penetration renewables. IEEE Trans. Sustain. Energy 4(4), 944–953 (2013)

    Article  Google Scholar 

  18. W. Wu, J. Chen, B. Zhang, H. Sun, A robust wind power optimization method for look-ahead power dispatch. IEEE Trans. Sustain. Energy 5(2), 507–515 (2014)

    Article  Google Scholar 

  19. E. Craparo, M. Karatas, D.I. Singham, A robust optimization approach to hybrid microgrid operation using ensemble weather forecasts. Appl. Energy 201, 135–147 (2017)

    Article  Google Scholar 

  20. L. Baringo, A.J. Conejo, Offering strategy via robust optimization. IEEE Trans. Power Syst. 26(3), 1418–1425 (2011)

    Article  Google Scholar 

  21. 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 

  22. 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 

  23. R. Jiang, J. Wang, Y. Guan, Robust unit commitment with wind power and pumped storage hydro. IEEE Trans. Power Syst. 27(2), 800–810 (2012)

    Article  Google Scholar 

  24. 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 

  25. A. Street, F. Oliveira, J.M. Arroyo, Contingency-constrained unit commitment with $n - K$ security criterion: a robust optimization approach. IEEE Trans. Power Syst. 26(3), 1581–1590 (2011)

    Article  Google Scholar 

  26. H. Ye, Y. Ge, M. Shahidehpour, Z. Li, Uncertainty marginal price, transmission reserve, and day-ahead market clearing with robust unit commitment. IEEE Trans. Power Syst. 32(3), 1782–1795 (2017)

    Article  Google Scholar 

  27. C. Wang, B. Jiao, L. Guo, Z. Tian, J. Niu, S. Li, Robust scheduling of building energy system under uncertainty. Appl. Energy 167, 366–376 (2016)

    Article  Google Scholar 

  28. M. Mazidi, H. Monsef, P. Siano, Robust day-ahead scheduling of smart distribution networks considering demand response programs. Appl. Energy 178, 929–942 (2016)

    Article  Google Scholar 

  29. R.A. Jabr, Robust transmission network expansion planning with uncertain renewable generation and loads. IEEE Trans. Power Syst. 28(4), 4558–4567 (2013)

    Article  Google Scholar 

  30. H. Yu, C.Y. Chung, K.P. Wong, Robust transmission network expansion planning method with Taguchi’s orthogonal array testing. IEEE Trans. Power Syst. 26(3), 1573–1580 (2011)

    Article  Google Scholar 

  31. CPLEX 12. [Online]. Available: https://www.gams.com/latest/docs/S_CPLEX.html. Accessed 15 Jul 2018

  32. A. Brooke, D. Kendrick, A. Meeraus, R. Raman, R.E. Rosenthal, GAMS A User’s Guide Introduction 1 (GAMS Development Corporation, Washington, DC, 1998)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

    Mahdi Mir

  2. Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

    Noradin Ghadimi

  3. Department of Electrical Engineering, Budapest University of Technology and Economics, Budapest, Hungary

    Oveis Abedinia

  4. Department of Industrial Management, Faculty of Management, University of Tehran, Tehran, Iran

    Sayed Ahmad Reza Shokrani

Authors
  1. Mahdi Mir
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  2. Noradin Ghadimi
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  3. Oveis Abedinia
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  4. Sayed Ahmad Reza Shokrani
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Corresponding author

Correspondence to Noradin Ghadimi .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Bonab, Bonab, Iran

    Sayyad Nojavan

  2. Sharif University of Technology, Knowledge Management Office, Tehran, Iran

    Mahdi Shafieezadeh

  3. Young Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, Iran

    Noradin Ghadimi

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Mir, M., Ghadimi, N., Abedinia, O., Shokrani, S.A.R. (2019). Robust Optimization-Based Energy Procurement. 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_4

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  • DOI: https://doi.org/10.1007/978-3-030-03229-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03228-9

  • Online ISBN: 978-3-030-03229-6

  • eBook Packages: EnergyEnergy (R0)

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