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TECHNICAL PAPERS: Gas Turbines: Industrial and Cogeneration

Robust Optimal Design in Multistage Expansion of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands

[+] Author and Article Information
Ryohei Yokoyama

Mem. ASME   e-mail: yokoyama@ese.energy.osakafu-u.ac.jp

Koichi Ito

Department of Energy Systems Engineering, Osaka Prefecture University, 1-1 Gakuen-cho, Sakai, Osaka 599-8531, Japan  

Tatsuhiro Murata

Generator Systems Division, Hitachi, Ltd.

J. Eng. Gas Turbines Power 126(4), 823-830 (Nov 24, 2004) (8 pages) doi:10.1115/1.1771688 History: Received October 01, 2002; Revised March 01, 2003; Online November 24, 2004
Copyright © 2004 by ASME
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References

Yokoyama,  R., Ito,  K., and Matsumoto,  Y., 1994, “Optimal Sizing of a Gas Turbine Cogeneration Plant in Consideration of Its Operational Strategy,” ASME J. Eng. Gas Turbines Power, 116, pp. 32–38.
Yokoyama,  R., Ito,  K., and Matsumoto,  Y., 1996, “Optimal Multistage Expansion Planning of a Gas Turbine Cogeneration Plant,” ASME J. Eng. Gas Turbines Power, 118, pp. 803–809.
Yokoyama, R., and Ito, K., 1999, “Robust Optimal Design of a Gas Turbine Cogeneration Plant Based on Minimax Regret Criterion,” Paper No. 99-GT-128.
Kouvelis, P., and Yu, G., 1997, Robust Discrete Optimization and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Yokoyama, R., and Ito, K., 2001, “Multiobjective Robust Optimal Design of a Gas Turbine Cogeneration Plant Under Uncertain Energy Demands,” Paper No. 2001-GT-208.
Parkinson,  A., Sorensen,  C., and Pourhassan,  N., 1993, “A General Approach for Robust Optimal Design,” ASME J. Mech. Des., 115, pp. 74–80.
Biegler, L. T., Grossmann, I. E., and Westerberg, A. W., 1997, Systematic Methods of Chemical Process Design, Prentice-Hall, Upper Saddle River, NJ.
Migdalas, A., Pardalos, P. M., and Värbrand, P., 1998, Multilevel Optimization: Algorithms and Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands.
Fortuny-Amat,  J., and McCarl,  B., 1981, “A Representation and Economic Interpretation of a Two-Level Programming Problem,” J. Oper. Res. Soc. Am., 32(9), pp. 783–792.
Brooke, A., Kendrick, D., and Meeraus, A., 1996, GAMS Release 2.25 a User’s Guide, GAMS Development Corp., Washington, DC.

Figures

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Concept of multistage expansion planning of energy supply plant
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Configuration of gas turbine cogeneration plant
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Sequential relationships among design variables, uncertain parameters, and operation variables
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Averages and uncertainty of energy demands (αm=0.2)
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Relationships between uncertainty in energy demands and optimal equipment capacities (α12); (a) L1=5 y,L2=10 y, (b) L1=10 y,L2=5 y
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Relationships between number of years for 1st expansion period and optimal equipment capacities (α12=0.4); (a) 1st expansion period, (b) 2nd expansion period
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Relationship between number of years for 1st expansion period and maximum regret in annual total cost (α12=0.4)
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Relationships between uncertainty in energy demands and optimal equipment capacities (L1=5 y,L2=10 y); (a) 1st expansion period, (b) 2nd expansion period
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Relationship between uncertainty in energy demands and minimum of maximum regret in annual total cost (L1=5 y,L2=10 y)

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