Reliability-Based Loss Functions Applied to Manitoba Hydro Energy Generation System
Publication: Journal of Water Resources Planning and Management
Volume 125, Issue 1
Abstract
One of the major issues in planning the operation of reservoirs for energy generation is uncertainty in future reservoir inflows and energy demands. A reliability programming model addresses input uncertainty. This paper demonstrates the practical application of this model for the Manitoba Hydro energy generation system. The model evaluates the optimal reliability (probability of meeting system energy demand) by balancing the total benefits accrued from energy generation with the economic losses incurred from the decrease in reliability, through incorporation of a loss function in the model formulation. A four-step simulation algorithm is proposed to derive the loss function, a relationship between the reliability and its associated economic losses. The sensitivity of the operating policy computed by the reliability programming model for different loss functions is presented to demonstrate the model's ability to perform an explicit reliability-benefit analysis in medium-term planning for hydropower systems.
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References
1.
Allen, R. B., and Bridgeman, S. G. (1986). “Dynamic programming in hydropower scheduling.”J. Water Resour. Plng. and Mgmt., ASCE, 112(3), 339–353.
2.
Arvaniditis, N. V., and Rosing, J. ( 1970a). “Composite representation of a multireservoir hydroelectric power system.” IEEE Trans. on Power Apparatus and Sys., PAS-89(2), 319–326.
3.
Arvaniditis, N. V., and Rosing, J. ( 1970b). “Optimal operation of multireservoir systems using a composite representation.” IEEE Trans. on Power Apparatus and Sys., PAS-89(2), 327–335.
4.
Billinton, R., Wacker, G., and Tollefson, G. ( 1992). “Worth of power system reliability.” Proc., Manitoba Hydro Workshop, Manitoba Hydro, Winnipeg, MB, Canada.
5.
Billinton, R., Wacker, G., and Tollefson, G. ( 1993). “Assessment of reliability worth in electric power systems in Canada.” Power Sys. Res. Rep., University of Saskatchewan, Canada.
6.
Chu, K. C. H. ( 1994). “Estimating the worth of reliability using customer interruption costs.” Internal Rep. PSPD94-6, Manitoba Hydro, Winnepeg, MB, Canada.
7.
Colorni, A., and Fronza, G. ( 1976). “Reservoir management via reliability programming.” Water Resour. Res., 12(1), 85–88.
8.
Daellenbach, H. G., and Read, E. G. ( 1976). “Survey on optimization for a long-term scheduling of hydro-thermal power systems.” Proc., ORSNZ Conf.
9.
“Definitions of customer and load reliability indices for evaluating electric power system performance.” (1975). IEEE PES Summer Meeting, Paper A 75 588-4, IEEE, Piscataway, N.J.
10.
Grygier, J. C., and Stedinger, J. R. ( 1985). “Algorithms for optimizing hydropower system operation.” Water Resour. Res., 21(1), 1–10.
11.
Houck, M. H., Cohon, J. L., and ReVelle, C. S. ( 1980). “Linear decision rule in reservoir design and management, 6. Incorporation of economic efficiency benefits and hydro-electric energy generation.” Water Resour. Res., 16(1), 196–200.
12.
Kelman, J., Stedinger, J. R., Cooper, L. A., Hsu, E., and Yuan, S.-Q. ( 1990). “Sampling stochastic dynamic programming applied to reservoir operation.” Water Resour. Res., 26(3), 447–454.
13.
Ko, S.-K., Fontane, D. G., and Labadie, J. W. ( 1992). “Multiobjective optimization of reservoir systems operation.” Water Resour. Bull., 28(1), 111–127.
14.
Li, C.-A., Yan, R., and Zhou, J.-Y. ( 1990). “Stochastic optimization of interconnected multireservoir power systems.” IEEE Trans. on Power Apparatus and Sys., 5(4), 1487–1496.
15.
Pereira, M. V. F., and Pinto, L. M. V. G. ( 1985). “Stochastic optimization of a multireservoir hydroelectric system: A decomposition approach.” Water Resour. Res., 21(6), 779–792.
16.
“Perspective 2000.” (1989). Rep., Manitoba Hydro, Winnipeg, MB, Canada.
17.
Rangarajan, S. ( 1998). “Probabilistic drought flow analysis.” Tech. Rep. Prepared for Resour. Plng. and Market Anal. Dept. of Manitoba Hydro, Winnipeg, MB, Canada.
18.
Reznicek, K. K., and Simonovic, S. P. ( 1990). “An improved algorithm for hydropower optimization.” Water Resour. Res., 26(2), 189–198.
19.
Simonovic, S. P., and Marino, M. A. ( 1980). “Reliability programming in reservoir management, 1. Single multipurpose reservoir.” Water Resour. Res., 16(5), 844–848.
20.
Srinivasan, R., and Simonovic, S. P. ( 1993). “Incorporated uncertainty in energy demand in a reservoir reliability planning model.” Effective environmental management for sustainable development, Vol. 4. Kluwer Academic, Boston, 397–409.
21.
Srinivasan, R., and Simonovic, S. P. ( 1994). “A reliability programming model for hydropower generation.” Can. J. Civ. Engrg., 21, 1061–1073.
22.
Stedinger, J. R., Sule, B. F., and Loucks, D. P. ( 1984). “Stochastic dynamic programming models for reservoir operation optimization.” Water Resour. Res., 20(11), 1499–1505.
23.
Strycharczyk, J. R., and Stedinger, J. R. ( 1987). “Evaluation of a reliability programming reservoir model.” Water Resour. Res., 23(2), 225–229.
24.
“System load forecast 1993–94 to 2013–14.” (1993). Manitoba Hydro Rep. CP93-2A, Winnipeg, MB, Canada.
25.
Tejada-Guibert, J. A., Johnson, S. A., and Stedinger, J. R. ( 1995). “The value of hydrologic information in stochastic dynamic programming models of a multireservoir system.” Water Resour. Res., 31(10), 2571–2579.
26.
Tejada-Guibert, J. A., Stedinger, J. R., and Staschus, K. (1990). “Optimization of value of CVP's hydropower production.”J. Water Resour. Plng. and Mgmt., ASCE, 116(1), 52–70.
27.
Terry, L. A., Pereira, M. V. F., Neto, T. A. A., Silva, L. F. C. A., and Sales, P. R. H. ( 1986). “Coordinating the energy generation of the Brazilian national hydrothermal electrical generating system.” Interfaces, 16(1), 16–38.
28.
Trezos, T., and Yeh, W. W.-G. ( 1987). “Use of stochastic dynamic programming for reservoir management.” Water Resour. Res., 23(6), 983–996.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 125 • Issue 1 • January 1999
Pages: 34 - 40
History
Received: Feb 15, 1995
Published online: Jan 1, 1999
Published in print: Jan 1999
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