Dynamic Competitive Equilibria in Electricity Markets

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.

[1]  D. Luenberger Optimization by Vector Space Methods , 1968 .

[2]  K. Arrow,et al.  General Competitive Analysis , 1971 .

[3]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[4]  P. Klemperer,et al.  Supply Function Equilibria in Oligopoly under Uncertainty , 1989 .

[5]  Robert B. Wilson,et al.  Research Paper Series Graduate School of Business Stanford University Architecture of Power Markets Architecture of Power Markets 1 , 2022 .

[6]  A. Mas-Colell,et al.  Microeconomic Theory , 1995 .

[7]  G. Chow,et al.  Dynamic Economics: Optimization by the Lagrange Method , 1997 .

[8]  B. Hobbs,et al.  Linear Complementarity Models of Nash-Cournot Competition in Bilateral and POOLCO Power Markets , 2001, IEEE Power Engineering Review.

[9]  Edward J. Anderson,et al.  Using Supply Functions for Offering Generation into an Electricity Market , 2002, Oper. Res..

[10]  J. Pang,et al.  Oligopolistic Competition in Power Networks: A Conjectured Supply Function Approach , 2002, IEEE Power Engineering Review.

[11]  R. Tourky,et al.  Economic Equilibrium: Optimality and Price Decentralization , 2002 .

[12]  Benjamin F. Hobbs,et al.  Nash-Cournot Equilibria in Power Markets on a Linearized DC Network with Arbitrage: Formulations and Properties , 2003 .

[13]  R. Baldick,et al.  Theory and Application of Linear Supply Function Equilibrium in Electricity Markets , 2004 .

[14]  Joe H. Chow,et al.  Electricity Market Design: An Integrated Approach to Reliability Assurance , 2005, Proceedings of the IEEE.

[15]  Mike Chen,et al.  Reliability by design in distributed power transmission networks , 2006, Autom..

[16]  Daniel Ralph,et al.  Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices , 2007, Oper. Res..

[17]  Sean P. Meyn,et al.  Efficiency and marginal cost pricing in dynamic competitive markets with friction , 2007, 2007 46th IEEE Conference on Decision and Control.

[18]  Benjamin F. Hobbs,et al.  Dynamic oligopolistic competition on an electric power network with ramping costs and joint sales constraints , 2008 .

[19]  Jian Yao,et al.  Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network , 2006, Oper. Res..

[20]  Sean P. Meyn,et al.  A DYNAMIC NEWSBOY MODEL FOR OPTIMAL RESERVE MANAGEMENT IN ELECTRICITY MARKETS , 2009 .

[21]  John N. Tsitsiklis,et al.  Efficiency of Scalar-Parameterized Mechanisms , 2008, Oper. Res..

[22]  Arman C. Kizilkale,et al.  Volatility and efficiency in markets with friction , 2010, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[23]  Victor M. Zavala,et al.  On the Dynamic Stability of Electricity Markets , 2010 .

[24]  Brendan Kirby,et al.  The Wind at Our Backs , 2010, IEEE Power and Energy Magazine.

[25]  Sean P. Meyn,et al.  Efficiency and marginal cost pricing in dynamic competitive markets with friction , 2010 .

[26]  Sean P. Meyn,et al.  The value of volatile resources in electricity markets , 2010, 49th IEEE Conference on Decision and Control (CDC).

[27]  Sean P. Meyn,et al.  Intelligence by design for the Entropic Grid , 2011, 2011 IEEE Power and Energy Society General Meeting.

[28]  Richard Heinberg,et al.  Full cost accounting for the life cycle of coal , 2011, Annals of the New York Academy of Sciences.

[29]  Sean P. Meyn,et al.  Supporting wind generation deployment with demand response , 2011, 2011 IEEE Power and Energy Society General Meeting.

[30]  Peter W. Glynn,et al.  A Complementarity Framework for Forward Contracting Under Uncertainty , 2011, Oper. Res..

[31]  Sean P. Meyn,et al.  A Control Theorist's Perspective on Dynamic Competitive Equilibria in Electricity Markets , 2011 .

[32]  Victor M. Zavala,et al.  New insights into the dynamic stability of wholesale electricity markets , 2011, 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD).

[33]  Sean P. Meyn,et al.  Real-time prices in an entropic grid , 2012, 2012 IEEE PES Innovative Smart Grid Technologies (ISGT).