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On the Value of Dual-Firing Power Generation Under Uncertain Gas Network Access

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Modeling and Optimization: Theory and Applications (MOPTA 2017)

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Abstract

This work is concerned with the impact of gas network disruptions on dual-firing power generation. The question is addressed through the following optimization problem. Markets drive the price of gas, oil, and electricity. The log-prices evolve as correlated mean-reverting processes in discrete time. A generating unit has dual-firing capabilities, here in the sense that it can convert either gas or oil to electricity. Oil and gas are subject to different constraints and uncertainties. Gas is obtained in real time through the gas network. Due to gas supply disruptions, gas access is not guaranteed. Oil is stored locally and available in real time. The oil storage capacity is limited onsite. Oil can be reordered to replenish the oil tank, with a lead time between the order time and the delivery time. Oil is paid for at the order time price. In this paper, we formulate the stochastic optimization problem for a risk-neutral operator, and study the sensitivity of the value of the dual-firing generating unit to the gas network availability parameters.

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References

  1. Bonnans, J., Shapiro, A.: Perturbation Analysis of Optimization Problems. Springer, New York (2000)

    Book  MATH  Google Scholar 

  2. Borovkova, S., Schmeck, M.: Electricity price modeling with stochastic time change. Energy Econ. 63, 51–65 (2017)

    Article  Google Scholar 

  3. Carmona, R., Durrleman, V.: Pricing and hedging spread options. SIAM Rev. 45(4), 627–685 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  4. Carmona, R., Durrleman, V.: Generalizing the Black-Scholes formula to multivariate contingent claims. J. Comput. Financ. 9, 42–63 (2005)

    Article  Google Scholar 

  5. Deng, S.: Pricing electricity derivatives under alternative stochastic spot price models. In: 33rd Annual Hawaii International Conference on System Sciences (HICSS), pp. 10–20 (2000)

    Google Scholar 

  6. Total Electric Power Industry Summary: U.S. Energy Information Administration. https://www.eia.gov/electricity/annual/

  7. Escribano, A., Ignacio Peña, J., Villaplana, P.: Modelling electricity prices: international evidence. Oxford Bull. Econ. Stat. 73(5), 622–650 (2011)

    Article  Google Scholar 

  8. Fiacco, A.V., Kyparisis, J.: Convexity and concavity properties of the optimal value function in parametric nonlinear programming. J. Optim. Theory Appl. 48(1), 95–126 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  9. Fleten, S.E., Näsäkkälä, E.: Gas-fired power plants: investment timing, operating flexibility and CO\(_2\) capture. Energy Econ. 32(4), 805–816 (2010)

    Google Scholar 

  10. Geman, H.: Mean reversion versus random walk in oil and natural gas prices. In: Advances in Mathematical Finance, pp. 219–228. Springer (2007)

    Google Scholar 

  11. Golub, G., Meyer Jr., C.: Using the QR factorization and group inversion to compute, differentiate, and estimate the sensitivity of stationary probabilities for Markov chains. SIAM J. Algebr. Discret. Methods 7(2), 273–281 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  12. Haneveld, W., Stougie, L., van der Vlerk, M.: Simple integer recourse models: convexity and convex approximations. Math. Program. 108(2), 435–473 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  13. Jaillet, P., Ronn, E., Tompaidis, S.: Valuation of commodity-based swing options. Manag. Sci. 50(7), 909–921 (2004)

    Article  MATH  Google Scholar 

  14. Knittel, C., Roberts, M.: Financial models of deregulated electricity prices: an application to the California market. Energy Econ. 27(5), 791–817 (2005)

    Article  Google Scholar 

  15. Koeppel, G., Andersson, G.: The influence of combined power, gas, and thermal networks on the reliability of supply. In: 6th World Energy System Conference, pp. 10–12. Torino, Italy (2006)

    Google Scholar 

  16. Kong, N., Schaefer, A., Ahmed, S.: Totally unimodular stochastic programs. Math. Program. 138(1–2), 1–13 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  17. Laporte, G., Louveaux, F.: The integer L-shaped method for stochastic integer programs with complete recourse. Oper. Res. Lett. 13(3), 133–142 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  18. Li, T., Eremia, M., Shahidehpour, M.: Interdependency of natural gas network and power system security. IEEE Trans. Power Syst. 23(4), 1817–1824 (2008)

    Article  Google Scholar 

  19. Lien, D.: Moments of ordered bivariate log-normal distributions. Econ. Lett. 20(1), 45–47 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  20. Lucia, J., Schwartz, E.: Electricity prices and power derivatives: evidence from the Nordic power exchange. Rev. Deriv. Res. 5(1), 5–50 (2002)

    Article  MATH  Google Scholar 

  21. Margrabe, W.: The value of an option to exchange one asset for another. J. Financ. 33(1), 177–186 (1978)

    Article  Google Scholar 

  22. Munoz, J., Jimenez-Redondo, N., Perez-Ruiz, J., Barquin, J.: Natural gas network modeling for power systems reliability studies. In: Proceedings of the 2003 IEEE Power Tech Conference, pp. 1–8. Bologna, Italy (2003)

    Google Scholar 

  23. Special Reliability Assessment: Potential bulk power system impacts due to severe disruptions on the natural gas system. North American Electric Reliability Corporation (2017)

    Google Scholar 

  24. Ross, S., Zhu, Z.: On the structure of a swing contract’s optimal value and optimal strategy. J. Appl. Probab. 45(1), 1–15 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  25. Schwartz, E.: The stochastic behavior of commodity prices: implications for valuation and hedging. J. Financ. 52(3), 923–973 (1997)

    Article  Google Scholar 

  26. Seneta, E.: Sensitivity of finite Markov chains under perturbation. Stat. Probab. Lett. 17(2), 163–168 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  27. Shapiro, A.: Analysis of stochastic dual dynamic programming method. Eur. J. Oper. Res. 209(1), 63–72 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  28. Shapiro, A., Dentcheva, D., Ruszczyński, A.: Lectures on stochastic programming: modeling and theory. SIAM, Philadelphia, PA (2009)

    Book  MATH  Google Scholar 

  29. Sun, R., Shylo, O., Schaefer, A.: Totally unimodular multistage stochastic programs. Oper. Res. Lett. 43(1), 29–33 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  30. Webster, M., Schmalensee, R.: Growing concerns, possible solutions: the interdependency of natural gas and electricity systems. Technical report, MIT Energy Initiative (2014)

    Google Scholar 

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Acknowledgements

This material is based upon work supported by the National Science Foundation under Grant No. 1610825.

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Authors and Affiliations

  1. Department of Industrial and Systems Engineering, Lehigh University, 200 W Packer Ave, Bethlehem, PA, 18015, USA

    Boris Defourny & Shu Tu

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  1. Boris Defourny
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  2. Shu Tu
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Correspondence to Boris Defourny .

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Editors and Affiliations

  1. Dept of Industrial & Systems Engineering, Lehigh University, Bethlehem, PA, USA

    János D. Pintér

  2. Dept of Industrial & Systems Engineering, Lehigh University, Bethlehem, PA, USA

    Tamás Terlaky

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Defourny, B., Tu, S. (2019). On the Value of Dual-Firing Power Generation Under Uncertain Gas Network Access. In: Pintér, J.D., Terlaky, T. (eds) Modeling and Optimization: Theory and Applications. MOPTA 2017. Springer Proceedings in Mathematics & Statistics, vol 279. Springer, Cham. https://doi.org/10.1007/978-3-030-12119-8_2

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