Capacity Expansion Model for Hydrothermal Power Systems
Publication: Journal of Water Resources Planning and Management
Volume 115, Issue 2
Abstract
This paper describes a computer model that can be used to analyze long‐term capacity expansion strategies for power generation systems consisting of hydrothermal plants and transmission networks. The objective is to determine the optimum capacity expansion schedule that minimizes the present worth of capacity cost and operating cost, subject to meeting peak power demand and energy demand. The problem is formulated as a large scale mixed‐integer program and solved by Lagrangean relaxation decomposing into two‐level hierarchy. At the top level is the capacity problem, where the capacity expansion decisions are made. At the second level is the operating problem, where the operational decisions on power generation and transmission are made. The feedback information is conveyed by the Lagrange multiplier.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anderson, D. (1972). “Models for determining least‐cost investments in electricity supply.” The Bell Journal of Economics and Management Science, 3(1), 267–299.
2.
Bishop, A. B. et al. (1975). “Water as a factor in energy resources development.” Rep. PRJERO 28‐1, Utah Water Res. Lab., College of Engrg., Utah State Univ., Logan, Utah, June.
3.
Bloom, J. A. (1983). “Solving an electricity generating capacity expansion planning problem by generalized Benders' decomposition.” Oper. Res., 31(1), 84–100.
4.
Brill, E. D., Velioglu, S. G., and Fuessle, R. W. (1977). “Water and energy systems: A planning model,” J. Water Resour. Plng. and Mgmt., 103(1), 17–32.
5.
Fisher, M. L. (1981). “The Lagrangian relaxation method for solving integer programming problems.” Manage. Sci., 27(1), 1–18.
6.
Fisher, M. L. (1985). “An applications oriented guide to Langrangian relaxation.” Interfaces 15(2).
7.
Geoffrion, A. M. (1974). “Langrangian relaxation and its uses in integer programming.” Math. Program. Study, 2, 82–114.
8.
Graves, S. C. (1982). “Using Lagrangian techniques to solve heirarchial production planning problems.” Manage. Sci., 28(3), 260–275.
9.
Held, M. H., Wolfe, P., and Crowder, H. D. (1974). “Validation of subgradient optimization.” Math. Program., 6(1), 62–88.
10.
Lall, U., and Mays, W. (1981). “Model for planning water energy systems,” Water Resour. Res., 17(4), 853–865.
11.
Luss, H. (1982). “Operations research and capacity expansion problems: A survey.” Oper. Res., 30(5), 907–947.
12.
Marsten, R. E. (1981). “The design of the XMP linear programming library.” ACM Trans. Math. Software, 7(4), 481–497.
13.
Martin, Q. W. (1987). “Hierarchial algorithm for water supply expansion.” J. Water Resour. Plng. and Mgmt., 113(5).
14.
Matsumoto, J. (1983). “Capacity expansion model for large‐scale water energy systems.” Water Resour. Res., 19(3), 593–607.
15.
Provenzano, G. (1977). “A linear programming model for assessing the regional impacts of energy development on water resources.” Research Report 77‐0126, Water Resour. Ctr., Univ. of Ill., Urbana‐Champaign, Ill.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 115 • Issue 2 • March 1989
Pages: 165 - 185
Copyright
Copyright © 1989 ASCE.
History
Published online: Mar 1, 1989
Published in print: Mar 1989
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.