Valuation and investment of generation assets

The re-regulation of electric power industry around the world has raised many new challenges for all stakeholders. This research is to valuate generation assets within reregulated electricity markets, both in short-term and long-term. The focus is to valuate operation flexibility under market uncertainties from the viewpoint of a Generation Company (GENCO). This research proposes to model the movements of electricity markets with Hidden Markov Model (HMM) driven by underlying market forces. An electricity market is modeled as a dynamic system evolving over time according to Markov processes. At any time interval, the electricity market can be in one state and transit to another state in the next time interval. The true market states are hidden from a market participant behind the incomplete observation. The observations, such as market-clearing price and quantity, are modeled to follow multiple probabilistic distributions. This research proposes to further decompose the market forces into physical and economic drivers if a specific electricity market employs Location Marginal Price (LMP) mechanism. The physical drivers include transmission network topology and generation technology. The economic drivers include fuel prices, demand uncertainties, and profit maximization of market participants with incomplete information. The decomposition captures the strengths of engineering-based production cost approach and mark-to-market stochastic approach. This research valuates generation assets with real option analysis. The value of generation assets is maximized based on the Hidden Markov Model (HMM) and newest observation of electricity markets. Such an optimization problem is formulated as Partially Oberserable Markov Decision Problem (POMDP). The solution of a POMDP provides a GENCO both the optimal operating policy and values of generation assets. The value of perfect and imperfect information is also identified. Investment in generation assets is also analyzed with real option. This research incorporates fuzzy sets and numbers to capture the fuzziness and possibilities of long-term electricity markets movements. Fuzzy sets and numbers provide the modeler flexibilities to

[1]  P. Linares,et al.  Multiple criteria decision making and risk analysis as risk management tools for power systems planning , 2002 .

[2]  Ronald A. Howard,et al.  Dynamic Programming and Markov Processes , 1960 .

[3]  X. Wang,et al.  Modern power system planning , 1994 .

[4]  Stephane Hecq,et al.  The integrated planning of the natural gas and electricity systems under market conditions , 2001, 2001 IEEE Porto Power Tech Proceedings (Cat. No.01EX502).

[5]  Eduardo S. Schwartz,et al.  Investment Under Uncertainty. , 1994 .

[6]  K. Asai,et al.  Fuzzy linear programming problems with fuzzy numbers , 1984 .

[7]  Zoubin Ghahramani,et al.  An Introduction to Hidden Markov Models and Bayesian Networks , 2001, Int. J. Pattern Recognit. Artif. Intell..

[8]  Shi-Jie Deng,et al.  Pricing electricity derivatives under alternative stochastic spot price models , 2000, Proceedings of the 33rd Annual Hawaii International Conference on System Sciences.

[9]  D.W. Lane,et al.  Modeling and evaluating electricity options markets with intelligent agents , 2000, DRPT2000. International Conference on Electric Utility Deregulation and Restructuring and Power Technologies. Proceedings (Cat. No.00EX382).

[10]  K. Tomsovic,et al.  Discovering Price-Load Relationships in California's Electricity Market , 2001, IEEE Power Engineering Review.

[11]  R. L. Sullivan,et al.  Power system planning , 1977 .

[12]  Haili Song,et al.  Optimal electricity supply bidding by Markov decision process , 2000 .

[13]  Michael Hsu Spark Spread Options Are Hot , 1998 .

[14]  A. J. Svoboda,et al.  Short-term resource scheduling with ramp constraints [power generation scheduling] , 1997 .

[15]  Natalia Fabra,et al.  Price Wars and Collusion in the Spanish Electricity Market , 2005 .

[16]  Blake Johnson,et al.  Exotic electricity options and the valuation of electricity generation and transmission assets , 2001, Decis. Support Syst..

[17]  John B. Moore,et al.  Hidden Markov Models: Estimation and Control , 1994 .

[18]  H. Zimmermann,et al.  Fuzzy Set Theory and Its Applications , 1993 .

[19]  Hans-Jürgen Zimmermann,et al.  Fuzzy Set Theory - and Its Applications , 1985 .

[20]  Ching-Lai Hwang,et al.  Fuzzy Mathematical Programming , 1992 .

[21]  Edward J. Sondik,et al.  The optimal control of par-tially observable Markov processes , 1971 .

[22]  G. Sheblé Computational Auction Mechanisms for Restructured Power Industry Operation , 1999 .

[23]  T. Copeland Real Options: A Practitioner's Guide , 2001 .

[24]  P. S. Neelakanta,et al.  Integrated resource planning using segmentation method based dynamic programming , 1999 .

[25]  F. Schweppe Spot Pricing of Electricity , 1988 .

[26]  Chung-Li Tseng,et al.  Short-term generation asset valuation , 1999, Proceedings of the 32nd Annual Hawaii International Conference on Systems Sciences. 1999. HICSS-32. Abstracts and CD-ROM of Full Papers.

[27]  Eduardo S. Schwartz,et al.  Real Options and Investment under Uncertainty: Classical Readings and Recent Contributions , 2004 .

[28]  J. Hull Options, Futures, and Other Derivatives , 1989 .

[29]  Lain L. MacDonald,et al.  Hidden Markov and Other Models for Discrete- valued Time Series , 1997 .

[30]  Timothy D. Mount,et al.  Strategic behavior in spot markets for electricity when load is stochastic , 2000, Proceedings of the 33rd Annual Hawaii International Conference on System Sciences.

[31]  D. Gardner,et al.  Valuation of Power Generation Assets: A Real Options Approach , 2000 .

[32]  Frederick S. Hillier,et al.  Introduction of Operations Research , 1967 .

[33]  Oz Shy,et al.  Industrial Organization: Theory and Applications , 1995 .

[34]  H.-J. Haubrich,et al.  Integrated planning of power generation and trading in a competitive market , 2002, IEEE Power Engineering Society Summer Meeting,.

[35]  Michael I. Jordan,et al.  Probabilistic Independence Networks for Hidden Markov Probability Models , 1997, Neural Computation.

[36]  Athanasios Kehagias,et al.  Approximation of Stochastic Processes by Hidden Markov Models , 1992 .

[37]  Jin-Chuan Duan,et al.  American option pricing under GARCH by a Markov chain approximation , 2001 .

[38]  S. Stoft Power System Economics: Designing Markets for Electricity , 2002 .

[39]  Leslie Pack Kaelbling,et al.  Acting Optimally in Partially Observable Stochastic Domains , 1994, AAAI.

[40]  Pravin Varaiya,et al.  A Game-Theoretic Model for Generation Expansion Planning: Problem Formulation and Numerical Comparisons , 2001 .

[41]  Hsien-Te Cheng,et al.  Algorithms for partially observable markov decision processes , 1989 .