Applications for stochastic optimization in the power industry

A survey on present applications of stochastic optimization in the power industry is presented. In particular, the motivation for changing over from deterministic to stochastic optimization models, the theory of stochastic optimization and the implementation of risk aversion is described. Furthermore, several characteristic applications in the power industry, such as short-term unit commitment, middle-term portfolio optimization, long-term investment planning and emissions-trading, are discussed.

[1]  Jitka Dupacová,et al.  Scenarios for Multistage Stochastic Programs , 2000, Ann. Oper. Res..

[2]  Christian Wolf,et al.  Decision making in the emissions-market under uncertainty , 2006 .

[3]  Hans-Jürgen Haubrich,et al.  Stochastische Optimierung von Kraftwerkseinsatz und Stromhandel zur Berücksichtigung von Planungsunsicherheiten , 2001 .

[4]  N. Growe-Kuska,et al.  Scenario reduction and scenario tree construction for power management problems , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[5]  Peter Kall,et al.  Stochastic Programming , 1995 .

[6]  L. Greene.  EHPnet: United Nations Framework Convention on Climate Change , 2000, Environmental Health Perspectives.

[7]  Nicole Gröwe-Kuska,et al.  Modeling of Uncertainty for the Real-Time Management of Power Systems , 2001 .

[8]  W. Ziemba,et al.  Hedging electricity portfolios via stochastic programming , 2002 .

[9]  Richard L. Ottinger,et al.  Compendium of Sustainable Energy Laws: Directive 2003/87/EC of the European Parliament and of the Council of 13 October 2003 Establishing a Scheme for Greenhouse Gas Emission Allowance Trading Within the Community and Amending Council Directive 96/61/EC , 2005 .

[10]  John R. Birge,et al.  Introduction to Stochastic Programming , 1997 .

[11]  Stanislav Uryasev,et al.  Conditional Value-at-Risk for General Loss Distributions , 2002 .

[12]  L. Clewlow,et al.  Energy Derivatives: Pricing and Risk Management , 2000 .

[13]  Stan Uryasev,et al.  Conditional value-at-risk: optimization algorithms and applications , 2000, Proceedings of the IEEE/IAFE/INFORMS 2000 Conference on Computational Intelligence for Financial Engineering (CIFEr) (Cat. No.00TH8520).

[14]  Martin Grötschel,et al.  Online optimization of large scale systems , 2001 .

[15]  Lihua Yu,et al.  Asset price modeling: decision aids for scheduling and hedging (DASH) in deregulated electricity markets: a stochastic programming approach to power portfolio optimization , 2002, WSC '02.

[16]  Rüdiger Schultz,et al.  Optimization of simultaneous power production and trading by stochastic integer programming , 2002 .

[17]  J. Nowicka-Zagrajek,et al.  Modeling electricity loads in California: ARMA models with hyperbolic noise , 2002, Signal Process..

[18]  Eduardo S. Schwartz,et al.  Electricity Prices and Power Derivatives: Evidence from the Nordic Power Exchange , 2000 .