Pricing Under Uncertainty in Multi-Interval Real-Time Markets

References

• Baldick R (2006) Applied Optimization: Formulation and Algorithms for Engineering Systems (Cambridge University Press, Cambridge, UK).Crossref, Google Scholar
• Biggar D, Hesamzadeh M (2020) Do we need to implement multi-interval real-time markets? Energy J. 43(2):111.Google Scholar
• Bottou L (2012) Stochastic gradient descent tricks. Neural Networks: Tricks of the Trade 421–436.Crossref, Google Scholar
• Bouffard F, Galiana FD, Conejo AJ (2005) Market-clearing with stochastic security. IEEE Trans. Power Syst. 20(4):1818–1826.Crossref, Google Scholar
• Danskin JM (1967) The Theory of Max-Min and Its Application to Weapons Allocation Problems (Springer Science & Business Media, Berlin, Germany).Crossref, Google Scholar
• EC (2017) Commission regulation (EU) 2017/2195 of 23 November 2017 establishing a guideline on electricity balancing (Official Journal of the European Union, Brussels).Google Scholar
• Guo Y, Chen C, Tong L (2019) Pricing multi-interval dispatch under uncertainty part i: Dispatch-following incentives. IEEE Trans. Power Syst. 36(5):3865–3877.Crossref, Google Scholar
• Guo Y, Chen C, Tong L (2021) Pricing multi-interval dispatch under uncertainty part ii: Generalization and performance. IEEE Trans. Power Syst. 36(5): 3878–3886Google Scholar
• Hogan W (2016) Electricity market design: Optimization and market equilibrium. Presentation, http://helper.ipam.ucla.edu/publications/enec2016/enec2016_12776.pdf.Google Scholar
• Hogan W (2020) Electricity market design: Multi-interval pricing models. Presentation, https://scholar.harvard.edu/files/whogan/files/hogan_hepg_multi_period_062220.pdf.Google Scholar
• Hua B, Schiro DA, Zheng T, Baldick R, Litvinov E (2019) Pricing in multi-interval real-time markets. IEEE Trans. Power Syst. 34(4):2696–2705.Crossref, Google Scholar
• Krishnamurthy D, Li W, Tesfatsion L (2016) An 8-zone test system based on ISO New England data: Development and application. IEEE Trans. Power Syst. 31(1):234–246.Crossref, Google Scholar
• Mickey J (2015) Multi-interval real-time market overview. Board of Directors Meeting, ERCOT Public.Google Scholar
• Morales JM, Zugno M, Pineda S, Pinson P (2014) Electricity market clearing with improved scheduling of stochastic production. European J. Oper. Res. 235(3):765–774.Crossref, Google Scholar
• Nemirovski A, Juditsky A, Lan G, Shapiro A (2009) Robust stochastic approximation approach to stochastic programming. SIAM J. Optim. 19(4):1574–1609.Crossref, Google Scholar
• Papavasiliou A, Oren SS (2013) Multiarea stochastic unit commitment for high wind penetration in a transmission constrained network. Oper. Res. 61(3):578–592.Link, Google Scholar
• Papavasiliou A, Smeers Y (2017) Remuneration of flexibility using operating reserve demand curves: A case study of Belgium. Energy J. 38(6):105–136.Crossref, Google Scholar
• Philpott A, Ferris M (2021) Dynamic risked equilibrium. Oper. Res. https://pubsonline.informs.org/doi/pdf/10.1287/opre.2019.1958.Google Scholar
• Philpott A, Ferris M, Wets R (2016) Equilibrium, uncertainty and risk in hydro-thermal electricity systems. Math. Program. 157(2):483–513.Crossref, Google Scholar
• Polyak BT, Juditsky AB (1992) Acceleration of stochastic approximation by averaging. SIAM J. Control Optim. 30(4):838–855.Crossref, Google Scholar
• Pritchard G, Zakeri G, Philpott A (2010) A single-settlement, energy-only electric power market for unpredictable and intermittent participants. Oper. Res. 58(4):1210–1219.Link, Google Scholar
• Ralph D, Smeers Y (2015) Risk trading and endogenous probabilities in investment equilibria. SIAM J. Optim. 25(4):2589–2611.Crossref, Google Scholar
• Robbins H, Monro S (1951) A stochastic approximation method. Annals of Math. Stat. 22(3):400–407.Crossref, Google Scholar
• Rockafellar RT, Wets RJB (1991) Scenarios and policy aggregation in optimization under uncertainty. Math. Oper. Res. 16(1):119–147.Link, Google Scholar
• Schiro DA (2017) Flexibility procurement and reimbursement: A multi-period pricing approach (FERC Technical Conference). https://cms.ferc.gov/sites/default/files/2020-05/20170623123635-Schiro_FERC2017_Final.pdf.Google Scholar
• Schiro DA, Zheng T, Zhao F, Litvinov E (2016) Convex hull pricing in electricity markets: Formulation, analysis, and implementation challenges. IEEE Trans. Power Syst. 31(5):4068–4075.Crossref, Google Scholar
• Shapiro A (2012) Time consistency of dynamic risk measures. Oper. Res. Lett. 40(6):436–439.Crossref, Google Scholar
• Wang B, Hobbs BF (2015) Real-time markets for flexiramp: A stochastic unit commitment-based analysis. IEEE Trans. Power Syst. 31(2):846–860.Crossref, Google Scholar
• Zavala VM, Kim K, Anitescu M, Birge J (2017) A stochastic electricity market clearing formulation with consistent pricing properties. Oper. Res. 65(3):557–576.Link, Google Scholar
• Zhao J, Zheng T, Litvinov E (2019) A multi-period market design for markets with intertemporal constraints. IEEE Trans. Power Syst. 35(4):3015–3025.Crossref, Google Scholar