Control of Energy Storage with Market Impact: Lagrangian Approach and Horizons

References

• Ahuja RK, Magnanti TL, Orlin JB (1993) Network Flows: Theory, Algorithms and Applications (Prentice Hall, Englewood Cliffs, NJ).Google Scholar
• Bannister CH, Kaye RJ (1991) A rapid method for optimization of linear systems with storage. Oper. Res. 39(2):220–232.Link, Google Scholar
• Bäuerle N, Riess V (2016) Gas storage valuation with regime switching. Energy Systems 7(3):499–528.Crossref, Google Scholar
• Boyd S, Vandenberghe L (2004) Convex Optimization (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• Chand S, Hsu VN, Sethi S (2002) Forecast, solution, and rolling horizons in operations management problems: A classified bibliograph. Manufacturing Service Oper. Management 4(1):25–43.Link, Google Scholar
• Chaton C, Durand-Viel L (2013) Real asset valuation under imperfect competition: Can we forget about market fundamentals? J. Econom. Management Strategy 22(1):125–139.Crossref, Google Scholar
• Courcoubetis C, Weber R (2003) Pricing Communication Networks: Economics, Technology and Modelling (Wiley, Chichester, UK).Crossref, Google Scholar
• Cruise JR, Gibbens RJ, Zachary S (2014) Optimal control of storage for arbitrage, with applications to energy systems. Proc. 48th Annual Conf. Inform. Sci. Systems (CISS IEEE, Princeton, NJ), 1–6.Crossref, Google Scholar
• Felix B, Woll O, Weber C (2012) Gas storage valuation under limited market liquidity: An application in Germany. Eur. J. Finance 19(7–8):715–733.Crossref, Google Scholar
• Garcia A, Smith R (2000) Solving nonstationary infinite horizon dynamic optimization problems. J. Math. Anal. Appl. 244(2):304–317.Crossref, Google Scholar
• Hartl RF (1986) A forward algorithm for a generalized wheat trading model. Zeitschrift Oper. Res. 30(3):A135–A144.Google Scholar
• Hartl RF (1988) On forward algorithms for a generalized wheat trading model. Engrg. Costs Production Econom. 15:367–370.Crossref, Google Scholar
• Lai G, Margot F, Secomandi N (2010) An approximate dynamic programming approach to benchmark practice-based heuristics for natural gas storage valuation. Oper. Res. 58(3):564–582.Link, Google Scholar
• Manuel W (2014) Turlock irrigation district: Energy storage study 2014. Accessed December 19, 2017, http://www.energy.ca.gov/assessments/ab2514_reports/Turlock_Irrigation_District/2014-10-28_Turlock_Irrigation_District_Energy_Storage_Study.pdf.Google Scholar
• Modigliani F, Hohn FE (1955) Production planning over time and the nature of the expectation and planning horizon. Econometrica 23(1):46–66.Crossref, Google Scholar
• National Grid (2012) Personal communication. March 1, 2012.Google Scholar
• Booz & Company, Newbery DM, Strbac G, Pudjianto D, Noel P, LeighFisher (2013) Benefits of an integrated european energy market: Final report for DG ENER. Accessed October 26, 2016, https://ec.europa.eu/energy/sites/ener/files/documents/20130902_energy_integration_benefits.pdf.Google Scholar
• Secomandi N (2010) Optimal commodity trading with a capacitated storage asset. Management Sci. 56(3):449–467.Link, Google Scholar
• Secomandi N (2015) Merchant commodity storage practice revisited. Oper. Res. 63(5):1131–1143.Link, Google Scholar
• Secomandi N, Lai G, Margot F, Scheller-Wolf A, Seppi D (2015) Merchant commodity storage and term-structure model error. Manufacturing Service Oper. Management 17(3):302–320.Link, Google Scholar
• Sethi SP, Thompson GL (2000) Optimal Control Theory: Applications to Management Science and Economics, 2nd ed. (Springer, Berlin).Google Scholar
• Sioshansi R (2010) Welfare impacts of electricity storage and the implications of ownership structure. Energy J. 31(2):173–198.Crossref, Google Scholar
• Sioshansi R (2014) When energy storage reduces social welfare. Energy Econom. 41:106–116.Crossref, Google Scholar
• Steffen B, Weber C (2016) Optimal operation of pumped-hydro storage plants with continuous time-varying power prices. Eur. J. Oper. Res. 252(1):308–321.Crossref, Google Scholar
• Whittle P (1971) Optimization Under Constraints: Theory and Applications of Nonlinear Programming (Wiley, Chichester, UK).Google Scholar
• Wu OQ, Wang DD, Qin Z (2012) Seasonal energy storage operations with limited flexibility: The price-adjusted rolling intrinsic policy. Manufacturing Service Oper. Management 14(3):455–471.Link, Google Scholar
• Zhou Y, Scheller-Wolf A, Secomandi N, Smith S (2016) Electricity trading and negative prices: Storage vs. disposal. Management Sci. 62(3):880–898.Link, Google Scholar