Abstract
We present a stochastic dynamic capacity investment model that incorporates strategic bidding of generators, price elasticity of demand, and ramping constraints. The model is based on an iterative procedure of finding an equilibrium electricity price forecast closely depicting real-world investor behavior. We assess the robustness and the total cost of generation of a capacity market compared to an energy-only market as capacity markets are increasingly considered worldwide due to market imperfections and rising feed-in from renewables. To estimate unplanned unavailabilities, we analyze a novel data set of the European Energy Exchange describing unplanned unavailability incidents. Applying the model to the Great Britain market, we find that capacity markets are more robust to unplanned unavailabilities of conventional generation in terms of the total cost of generation and price volatility. At the same time, capacity markets induce additional costs through capacity payments. Therefore, we jointly analyze the total cost of generation and the robustness with different levels of reserve margins. Our results show that there is a promising area of efficient trade-offs between costs and robustness in the range of reserve margins between 0 and 15%.
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References
Baldick R, Helman U, Hobbs BF, O’Neill RP (2005) Design of efficient generation markets. Proc IEEE 93:1998–2012
Bloomberg (2013) Power plant capacity payments inevitable in Germany, UBS Says. http://www.bloomberg.com/news/2013-04-23/power-plant-capacity-payments-inevitable-in-germany-ubs-says.html. Accessed 23 Apr 2013
Borenstein S, Bushnell J, Knittel CR (1999) Market power in electricity markets: beyond concentration measures. Energy J 20:65–83
Bunn DW, Oliveira FS (2008) Modeling the impact of market interventions on the strategic evolution of electricity markets. Oper Res 56:1116–1130
Bushnell JB, Mansur ET, Saravia C (2008) Vertical arrangements, market structure, and competition: an analysis of restructured US electricity markets. Am Econ Rev 98:237–266
Cepeda M, Finon D (2013) How to correct for long-term externalities of large-scale wind power development by a capacity mechanism? Energy Policy 61:671–685
Chiodia A, Deaneb P, Gargiuloc M, Gallachóird B (2010) Modelling electricity generation–comparing results: from a power systems model and an energy systems model. http://energyexemplar.com/wp-content/uploads/publications/ChiodiAlessandro-Paper.pdf. Accessed 9 Oct 2014
Cramton P, Ockenfels A, Stoft S (2013) Capacity market fundamentals. Econ Energy Environ Policy 2:27–46
Cramton P, Stoft S (2005) A capacity market that makes sense. Electr J 18:43–54
Dantzig GB, Connolly TJ, Parikh SC (1978) Stanford PILOT energy: economic model. Electric Power Research Institute, Palo Alto
Day CJ, Bunn DW (2001) Divestiture of generation assets in the electricity pool of england and wales: a computational approach to analyzing market power. J Regul Econ 19:123–141
DECC (2010) Electricity market reform–consultation report. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/42636/1041-electricity-market-reform-condoc.pdf. Accessed 14 Nov 2013
DECC (2011) The carbon plan: delivering our low carbon future. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/47613/3702-the-carbon-plan-delivering-our-low-carbon-future.pdf. Accessed 14 Nov 2013
DECC (2013) Energy trends section 6: renewables. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/170698/energy_trends_6_renewables.pdf. Accessed 31 Jan 2013
DECC (2014) Carbon price floor: reform and other technical amendments. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/293849/TIIN_6002_7047_carbon_price_floor_and_other_technical_amendments.pdf. Accessed 27 May 2014
Eager D, Hobbs BF, Bialek JW (2012) Dynamic modeling of thermal generation capacity investment: application to markets with high wind penetration. IEEE Trans Power Syst 27:2127–2137
Ehrenmann A, Smeers Y (2011) Generation capacity expansion in a risky environment: a stochastic equilibrium analysis. Oper Res 59:1332–1346
European Energy Exchange (2014) Unscheduled non-usabilities of generating units of \(\ge \) 100 MW. http://www.transparency.eex.com/en/Statutory%20Publication%20Requirements%20of%20the%20Transmission%20System%20Operators/Power%20generation/Unscheduled%20non-usabilities%20of%20generating%20units%20of%20%E2%89%A5%20100%20MW. Accessed 10 Jan 2015
European Parliament (2011) Regulation (EU) No 1227/2011 on wholesale energy market integrity and transparencyText with EEA relevance. Off J Eur Union 326:1–16
EXPEXSPOT (2017) Capacity auction. http://www.epexspot.com/en/product-info/capacity_auction. Accessed 15 June 2017
Fagiani R, Barquín J, Hakvoort R (2013) Risk-based assessment of the cost-efficiency and the effectivity of renewable energy support schemes: certificate markets versus feed-in tariffs. Energy Policy 55:648–661
Filomena TP, Campos-Náñez E, Duffey MR (2014) Technology selection and capacity investment under uncertainty. Eur J Oper Res 232:125–136
Fishbone LG, Abilock H (1981) Markal, a linear-programming model for energy systems analysis: technical description of the bnl version. Energy Res 5:353–375
Galetovic A, Munoz CM, Wolak FA (2013) Capacity payments in a cost-based wholesale electricity market: the case of Chile. http://web.stanford.edu/group/fwolak/cgi-bin/sites/default/files/files/galetovic_munoz_and_wolak.pdf. Accessed 30 July 2014
Gass SI (1983) Feature article-decision-aiding models: validation, assessment, and related issues for policy analysis. Oper Res 31:603–631
Green R, Vasilakos N (2010) Market behaviour with large amounts of intermittent generation. Energy Policy 38:3211–3220
Hach D, Chyong CK, Spinler S (2016) Capacity market design options: a dynamic capacity investment model and a GB case study. Eur J Oper Res 249:691–705
Heinrich G, Basson L, Cohen B, Howells M, Petrie J (2007) Ranking and selection of power expansion alternatives for multiple objectives under uncertainty. Energy 32:2350–2369
HM Revenue and Customs (2014) Carbon price floor: reform and other technical amendments. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/293849/TIIN_6002_7047_carbon_price_floor_and_other_technical_amendments.pdf. Accessed 29 July 2014
Hobbs BF (1995) Optimization methods for electric utility resource planning. Eur J Oper Res 83:1–20
Hogan WW (2005) On an energy only electricity market design for resource adequacy. Harvard University Working Paper–Center for Business and Government, John F. Kennedy School of Government
Joskow P (2008) Capacity payments in imperfect electricity markets: need and design. Util Policy 16:159–170
Joskow P, Kahn E (2001) A quantitative analysis of pricing behavior in California’s wholesale electricity market during summer 2000. In: Power engineering society summer meeting 1
Joskow P, Tirole J (2007) Reliability and competitive electricity markets. Rand J Econ 38:60–84
Kumar N, Besuner P, Lefton S, Agan D, Hilleman D (2012) Power plant cycling costs: technical monitor. http://www.nrel.gov/docs/fy12osti/55433.pdf. Accessed 9 Oct 2014
Le Coq C, Orzen H, Schwenen S (2017) Pricing and capacity provision in electricity markets: an experimental study. J Regul Econ 51:123–158
Lijesen MG (2007) The real-time price elasticity of electricity. Energy Econ 29:249–258
London Economics (2013) The value of lost load (VoLL) for electricity in great Britain. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/224028/value_lost_load_electricty_gb.pdf. Accessed 23 Jan 2014
Loulou R, Goldstein G, Noble K (2004) Documentation for the MARKAL family of models. http://www.iea-etsap.org/web/MrklDoc-I_StdMARKAL.pdf. Accessed 9 Oct 2014
Möst D, Keles D (2010) A survey of stochastic modelling approaches for liberalised electricity markets. Eur J Oper Res 207:543–556
Mulvey JM, Vanderbei RJ, Zenios SA (1995) Robust optimization of large-scale systems. Oper Res 43:264–281
Nationalgrid (2017) Final auction results: Ea capacity market auction for 2017/18. http://www.emrdeliverybody.com. Accessed 15 June 2017
Oren SS (2005) Ensuring generation adequacy in competitive electricity markets. In: Griffin JM, Puller SL (eds) Electricity deregulation: choices and challenges. University of Chicago Press, Chicago, pp 388–414
Oxera (2011) Discount rates for low-carbon and renewable generation technologies: prepared for the committee on climate change. http://www.oxera.com/Oxera/media/Oxera/downloads/reports/Oxera-report-on-low-carbon-discount-rates.pdf?ext=.pdf. Accessed 29 Aug 2014
Parsons Brinckerhoff (2011) Electricity generation cost model–2011 update revision 1. https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/65714/2127-electricity-generation-cost-model-2011.pdf. Accessed 14 Nov 2013
PJM Interconnection (2014) 2019/2020 rpm base residual auction planning period parameters. http://pjm.com/~/media/markets-ops/rpm/rpm-auction-info/2019-2020-rpm-bra-planning-parameters-report.ashx. Accessed 27 May 2016
PJM Interconnection (2016) 2017/2018 rpm base residual auction planning period parameters. http://pjm.com/~/media/markets-ops/rpm/rpm-auction-info/2017-2018-rpm-bra-planning-parameters-report.ashx. Accessed 27 May 2016
Platts (2013) European gas-fired generation in crisis. http://www.platts.com/RSSFeedDetailedNews/RSSFeed/NaturalGas/26959916. Accessed 27 May 2013
Powell WB, George A, Simao H, Scott W, Lamont A, Stewart J (2011) SMART: a stochastic multiscale model for the analysis of energy resources, technology, and policy. INFORMS J Comput 24:665–682
Pöyry (2009) Impact of intermittency: how wind variability could change the shape of the british and irish electricity markets. http://www.uwig.org/impactofintermittency.pdf. Accessed 4 Feb 2014
Rath-Nagel S, Stocks K (1982) Energy modelling for technology assessment: the MARKAL approach. Omega 10:493–505
Reuters (2013) InterGen says could start two new UK gas-fired plants by 2018: two new gas-fired power plants with a combined capacity of 2.1 gigawatts (GW) could come online by 2018 in Britain, developer InterGen said on Monday. http://uk.reuters.com/article/2013/10/28/uk-britain-intergen-power-idUKBRE99R0II20131028. Accessed 29 Oct 2013
Samouilidis JE, Berahas SA (1984) GREPOM: an energy policy model. Omega 12:141–152
Sargent RG (2012) Verification and validation of simulation models. J Simul 7:12–24
Sioshansi R, Oren SS (2007) How good are supply function equilibrium models: an empirical analysis of the ERCOT balancing market. J Regul Econ 31:1–35
Trading Economics (2014) United Kingdom inflation rate. www.tradingeconomics.com/united-kingdom/inflation-cpi. Accessed 23 Jan 2014
UKERC (2013) The UK energy system in 2050: comparing low-carbon, resilient scenarios. http://www.ukerc.ac.uk/support/tiki-download_file.php?fileId=2976. Accessed 14 Nov 2013
VDE (2012) Erneuerbare Energie braucht flexible Kraftwerke–Szenarien bis 2020 (Renewable energy needs flexible power plants–scenarios until 2020). https://www.vde.com/de/InfoCenter/Seiten/Details.aspx?eslShopItemID=67bfb144-afc7-4d64-8656-3acdff68793a. Accessed 8 Apr 2013
Acknowledgements
The authors gratefully acknowledge the valuable input from David Newbery, Daniel Ralph, and Chi-Kong Chyong. Additionally, the authors would like to thank the Energy Policy Research Group (EPRG) at Judge Business School, University of Cambridge, for facilitating the collaboration that led to the deterministic part of the model described in this paper.
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Hach, D., Spinler, S. Robustness of capacity markets: a stochastic dynamic capacity investment model. OR Spectrum 40, 517–540 (2018). https://doi.org/10.1007/s00291-018-0509-3
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DOI: https://doi.org/10.1007/s00291-018-0509-3
Keywords
- Electricity market
- Capacity mechanism
- Stochastic electricity capacity expansion model
- Generation adequacy
- Unplanned unavailability
- Uncertainty