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2012 | OriginalPaper | Buchkapitel

Dynamic Competitive Equilibria in Electricity Markets

verfasst von : Gui Wang, Matias Negrete-Pincetic, Anupama Kowli, Ehsan Shafieepoorfard, Sean Meyn, Uday V. Shanbhag

Erschienen in: Control and Optimization Methods for Electric Smart Grids

Verlag: Springer New York

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Abstract

This chapter addresses the economic theory of electricity markets, viewed from an idealized competitive equilibrium setting, taking into account volatility and the physical and operational constraints inherent to transmission and generation. In a general dynamic setting, we establish many of the standard conclusions of competitive equilibrium theory: Market equilibria are efficient, and average prices coincide with average marginal costs. However, these conclusions hold only on average. An important contribution of this chapter is the explanation of the exotic behavior of electricity prices. Through theory and examples, we explain why, in the competitive equilibrium, sample-paths of prices can range from negative values, to values far beyond the “choke-up” price—which is usually considered to be the maximum price consumers are willing to pay. We also find that the variance of prices may be very large, but this variance decreases with increasing demand response.

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Fußnoten
1
The ISO is an entity independent of the consumers and the suppliers that coordinates, controls and monitors a large electric power transmission grid and its associated electricity markets.
 
2
Observe that prices may vary by the location. In the language of electricity markets, they are locational prices.
 
Literatur
1.
2.
Zurück zum Zitat Anderson EJ, Philpott AB (2002) Using supply functions for offering generation into an electricity market. Oper Res 50(3):477–489 MR 1910284 (2003f:91069) Anderson EJ, Philpott AB (2002) Using supply functions for offering generation into an electricity market. Oper Res 50(3):477–489 MR 1910284 (2003f:91069)
3.
Zurück zum Zitat Arrow KJ, Hahn F (1971) General competitive analysis. Holden-Day, San FranciscoMATH Arrow KJ, Hahn F (1971) General competitive analysis. Holden-Day, San FranciscoMATH
4.
Zurück zum Zitat Baldick R, Grant R, Kahn E (2004) Theory and application of linear supply function equilibrium in electricity markets. J Regul Econ 25(2):143–167CrossRef Baldick R, Grant R, Kahn E (2004) Theory and application of linear supply function equilibrium in electricity markets. J Regul Econ 25(2):143–167CrossRef
5.
Zurück zum Zitat Chen M, Cho I-K, Meyn SP (2006) Reliability by design in a distributed power transmission network. Automatica 42:1267–1281 (invited) Chen M, Cho I-K, Meyn SP (2006) Reliability by design in a distributed power transmission network. Automatica 42:1267–1281 (invited)
6.
Zurück zum Zitat Cho I-K, Meyn SP (2009) A dynamic newsboy model for optimal reserve management in electricity markets. SIAM J Contr Optim (Submitted for publication) Cho I-K, Meyn SP (2009) A dynamic newsboy model for optimal reserve management in electricity markets. SIAM J Contr Optim (Submitted for publication)
7.
Zurück zum Zitat Cho I-K, Meyn SP (2010) Efficiency and marginal cost pricing in dynamic competitive markets with friction. Theoret Econ 5(2):215–239MATHCrossRefMathSciNet Cho I-K, Meyn SP (2010) Efficiency and marginal cost pricing in dynamic competitive markets with friction. Theoret Econ 5(2):215–239MATHCrossRefMathSciNet
8.
Zurück zum Zitat Chow GC (1997) Dynamic economics: optimization by the lagrange method. Oxford University Press, USA Chow GC (1997) Dynamic economics: optimization by the lagrange method. Oxford University Press, USA
9.
Zurück zum Zitat Chow JH, De Mello W, Cheung KW (2005) Electricity market design: an integrated approach to reliability assurance. Proc IEEE 93(11):1956 –1969CrossRef Chow JH, De Mello W, Cheung KW (2005) Electricity market design: an integrated approach to reliability assurance. Proc IEEE 93(11):1956 –1969CrossRef
10.
Zurück zum Zitat Day CJ, Hobbs BF, Pang J-S (2002) Oligopolistic competition in power networks: a conjectured supply function approach. IEEE Trans Power Syst 17:597–607CrossRef Day CJ, Hobbs BF, Pang J-S (2002) Oligopolistic competition in power networks: a conjectured supply function approach. IEEE Trans Power Syst 17:597–607CrossRef
11.
Zurück zum Zitat Epstein PR, Buonocore JJ, Eckerle K, Hendryx M, Stout III BM, Heinberg R, Clapp RW, May B, Reinhart NL, Ahern MM, Doshi SK, Glustrom L (2011) Full cost accounting for the life cycle of coal. Ann NY Acad Sci 1219(1):73–98CrossRef Epstein PR, Buonocore JJ, Eckerle K, Hendryx M, Stout III BM, Heinberg R, Clapp RW, May B, Reinhart NL, Ahern MM, Doshi SK, Glustrom L (2011) Full cost accounting for the life cycle of coal. Ann NY Acad Sci 1219(1):73–98CrossRef
12.
Zurück zum Zitat FERC (1998) Staff Report to the Federal Energy Regulatory Commission on the Causes of Wholesale Electric Pricing Abnormalities in the Midwest During June 1998, FERC study, September 22, 1998 FERC (1998) Staff Report to the Federal Energy Regulatory Commission on the Causes of Wholesale Electric Pricing Abnormalities in the Midwest During June 1998, FERC study, September 22, 1998
13.
Zurück zum Zitat Hobbs BF (2001) Linear complementarity models of Nash–Cournot competition in bilateral and POOLCO power markets. IEEE Trans Power Syst 16(2):194–202CrossRef Hobbs BF (2001) Linear complementarity models of Nash–Cournot competition in bilateral and POOLCO power markets. IEEE Trans Power Syst 16(2):194–202CrossRef
14.
Zurück zum Zitat Hobbs BF, Helman U (2004) Complementarity-Based Equilibrium Modeling for Electric Power Markets. Modeling Prices in Competitive Electricity Markets, Wiley Series in Financial Economics. Wiley, West Sussex, England, pp 69–98 Hobbs BF, Helman U (2004) Complementarity-Based Equilibrium Modeling for Electric Power Markets. Modeling Prices in Competitive Electricity Markets, Wiley Series in Financial Economics. Wiley, West Sussex, England, pp 69–98
16.
Zurück zum Zitat Hu X, Ralph D (2007) Using EPECs to model bilevel games in restructured electricity markets with locational prices. Oper Res 55(5):809–827. MR MR2360950 Hu X, Ralph D (2007) Using EPECs to model bilevel games in restructured electricity markets with locational prices. Oper Res 55(5):809–827. MR MR2360950
18.
Zurück zum Zitat Kizilkale AC, Mannor S (2010) Volatility and efficiency in markets with friction. In: 48th Annual Allerton Conference on Communication, Control, and Computing, Monticello, Illinois, pp 50–57 Kizilkale AC, Mannor S (2010) Volatility and efficiency in markets with friction. In: 48th Annual Allerton Conference on Communication, Control, and Computing, Monticello, Illinois, pp 50–57
19.
20.
Zurück zum Zitat Kowli A, Meyn SP (2011) Supporting wind generation deployment with demand response. In: IEEE PES 11: power energy society general meeting, Detroit, Michigan Kowli A, Meyn SP (2011) Supporting wind generation deployment with demand response. In: IEEE PES 11: power energy society general meeting, Detroit, Michigan
21.
Zurück zum Zitat Luenberger DG (1969) Optimization by vector space methods. Wiley, New YorkMATH Luenberger DG (1969) Optimization by vector space methods. Wiley, New YorkMATH
22.
Zurück zum Zitat Mas-Colell A, Whinston MD, Green JR (1995) Microeconomic theory. Oxford University Press, New YorkMATH Mas-Colell A, Whinston MD, Green JR (1995) Microeconomic theory. Oxford University Press, New YorkMATH
23.
Zurück zum Zitat Metzler C, Hobbs B, Pang J-S (2003) Nash–Cournot equilibria in power markets on a linearized DC network with arbitrage: formulations and properties. Network Spatial Econ 3(2):123–150CrossRef Metzler C, Hobbs B, Pang J-S (2003) Nash–Cournot equilibria in power markets on a linearized DC network with arbitrage: formulations and properties. Network Spatial Econ 3(2):123–150CrossRef
24.
Zurück zum Zitat Meyn S, Negrete-Pincetic M, Wang G, Kowli A, Shafieepoorfard E (2010) The value of volatile resources in electricity markets. In: Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, pp 1029–1036 Meyn S, Negrete-Pincetic M, Wang G, Kowli A, Shafieepoorfard E (2010) The value of volatile resources in electricity markets. In: Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, Georgia, pp 1029–1036
25.
Zurück zum Zitat Mookherjee R, Friesz T, Hobbs BF, Ringdon M (2008) Dynamic oligopolistic competition on an electric power network with ramping costs and joint sales constraints. J Ind Manage Org 4(3):425–452MATH Mookherjee R, Friesz T, Hobbs BF, Ringdon M (2008) Dynamic oligopolistic competition on an electric power network with ramping costs and joint sales constraints. J Ind Manage Org 4(3):425–452MATH
26.
Zurück zum Zitat Negrete-Pincetic M, Meyn SP (2011) Intelligence by design for the entropic grid. In: IEEE PES 11: Power energy society general meeting, Invited lecture for PES panel: deploying tomorrow’s electric power systems: low carbon, efficiency and security, Detroit, Michigan Negrete-Pincetic M, Meyn SP (2011) Intelligence by design for the entropic grid. In: IEEE PES 11: Power energy society general meeting, Invited lecture for PES panel: deploying tomorrow’s electric power systems: low carbon, efficiency and security, Detroit, Michigan
27.
Zurück zum Zitat Robinson S (2005) Math model explains volatile prices in power markets. SIAM News Robinson S (2005) Math model explains volatile prices in power markets. SIAM News
28.
Zurück zum Zitat Shanbhag UV, Infanger G, Glynn PW (2011) A complementarity framework for forward contracting under uncertainty. Oper Res 59(4):810–834MATHCrossRefMathSciNet Shanbhag UV, Infanger G, Glynn PW (2011) A complementarity framework for forward contracting under uncertainty. Oper Res 59(4):810–834MATHCrossRefMathSciNet
29.
Zurück zum Zitat Smith JC, Beuning S, Durrwachter H, Ela E, Hawkins D, Kirby B, Lasher W, Lowell J, Porter K, Schuyler K, Sotkiewicz P (2010) The wind at our backs. IEEE Power Energ Mag 8(5):63–71CrossRef Smith JC, Beuning S, Durrwachter H, Ela E, Hawkins D, Kirby B, Lasher W, Lowell J, Porter K, Schuyler K, Sotkiewicz P (2010) The wind at our backs. IEEE Power Energ Mag 8(5):63–71CrossRef
30.
Zurück zum Zitat Wang G, Kowli A, Negrete-Pincetic M, Shafieepoorfard E, Meyn S (2011) A control theorist’s perspective on dynamic competitive equilibria in electricity markets. In: Proceedings of 18th world congress of the international federation of automatic control (IFAC), Milano, Italy Wang G, Kowli A, Negrete-Pincetic M, Shafieepoorfard E, Meyn S (2011) A control theorist’s perspective on dynamic competitive equilibria in electricity markets. In: Proceedings of 18th world congress of the international federation of automatic control (IFAC), Milano, Italy
31.
Zurück zum Zitat Wang G, Negrete-Pincetic M, Kowli A, Shafieepoorfard E, Meyn S, Shanbhag UV (2012) Real-time prices in an entropic grid. IEEE Conference on Decision and Control. To appear in the Proceedings of the 2012 PES Innovative Smart Grid Technologies Conference. (Invited), Jan 2012 Wang G, Negrete-Pincetic M, Kowli A, Shafieepoorfard E, Meyn S, Shanbhag UV (2012) Real-time prices in an entropic grid. IEEE Conference on Decision and Control. To appear in the Proceedings of the 2012 PES Innovative Smart Grid Technologies Conference. (Invited), Jan 2012
33.
34.
Zurück zum Zitat Wood AJ, Wollenberg BF (1996) Power generation, operation, and control. Wiley, New York Wood AJ, Wollenberg BF (1996) Power generation, operation, and control. Wiley, New York
35.
Zurück zum Zitat Yao J, Adler I, Oren S (2008) Modeling and computing two-settlement oligopolistic equilibrium in a congested electricity network. Oper Res 56(1):34–47. MR MR2402216 Yao J, Adler I, Oren S (2008) Modeling and computing two-settlement oligopolistic equilibrium in a congested electricity network. Oper Res 56(1):34–47. MR MR2402216
36.
Zurück zum Zitat Zavala VM, Anitescu M (2010) On the dynamic stability of electricity markets. Math Program (submitted for publication) Zavala VM, Anitescu M (2010) On the dynamic stability of electricity markets. Math Program (submitted for publication)
Metadaten
Titel
Dynamic Competitive Equilibria in Electricity Markets
verfasst von
Gui Wang
Matias Negrete-Pincetic
Anupama Kowli
Ehsan Shafieepoorfard
Sean Meyn
Uday V. Shanbhag
Copyright-Jahr
2012
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-1605-0_2