A constrained state formulation for the stochastic control of multireservoir systems

Water Resources Research

Volumn 34, Issue 2, 1998, Pages 257-270

  Fletcher, S G ^a   Ponnambalam, K ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL METHOD; RELIABILITY; RESERVOIR; STOCHASTIC PROCESS;

RESERVOIR; STOCHASTIC ANALYSIS; STORAGE;

NONLINEAR PROGRAMMING; RELIABILITY ANALYSIS;

CONSTRAINED STATE; FAILURE PROBABILITY; MULTI-RESERVOIR SYSTEMS; RELIABILITY LEVEL; RESERVOIR OPERATION; RESERVOIR SYSTEMS; STANDARD DEVIATION; STOCHASTIC CONTROL;

STOCHASTIC SYSTEMS;

EID: 0031937932     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR01900     Document Type: Article

References (24)

1. Braga, B. P. F., W. W.-G. Yeh, L. Becker, and T. L. Barros, Stochastic optimization of multiple-reservoir-system, J. Water Resour. Plann. Manage., 117(4), 471-481, 1990.
2. Colorni, A., and G. Fronza, Reservoir management via reliability programing, Water Resour. Res., 12(1), 85-88, 1976.
3. Environment Canada, Basis of comparison, draft report, Ottawa, Ont., 1991.
4. Fletcher, S., A new formulation for the stochastic control of systems with bounded state variables: An application to reservoir systems, Ph.D. dissertation., Dep. of Syst. Design Eng., Univ. of Waterloo, Waterloo, Ont., 1995.
5. Fletcher, S., and K. Ponnambalam, A new formulation for the stochastic control of systems with bounded state variables: An application to a single reservoir system, Stochastic Hydrol. Hydraul., 10, 167-186, 1996.
6. Fletcher, S., M. Bessa, K. Ponnambalam, and W. F. Curi, A comparison of stochastic optimization methods for multi-reservoir systems, in Environmental Management for Sustainable Development, edited by K. W. Hipel and L. Fang, pp. 411-424, Kluwer, Norwell, Mass., 1994.
7. Georgakakos, A. P., Extended linear quadratic Gaussian control: Further extensions, Water Resour. Res., 25(2), 191-201, 1989.
8. Hipel, K. W., and A. I. McLeod, Time Series Modelling of Water Resources and Environmental Systems, pp. 171-253, Elsevier Sci., New York, 1994.
9. International Joint Commission (IJC), Great Lakes levels reference study, Annex 3, final report, Windsor, Ont., 1993.
10. Loucks, D. P., Some comments on linear decision rules and chance-constraints, Water Resour. Res., 6(2), 668-671, 1970.
11. McLaughlin, D., and H. L. Velasco, Real-time control of a system of large hydropower reservoirs, Water Resour. Res., 26(4), 623-635, 1990.
12. Mejia, M. M., et al., Evaluating multi-reservoir operating rules, Water Resour. Res., 10(6), 1090-1098, 1974.
13. Ponnambalam, K., and B. J. Adams, Stochastic optimization of multireservoir systems using a heuristic algorithm: Case study from India, Water Resour. Res., 32(3), 733-741, 1996.
14. Ponnambalam, K., S. G. Fletcher, and A. W. Heemink, Can LQG or its derivatives model long-term operations of stochastic reservoir systems? technical report, TWI, TUDelft, May 1997.
15. Quinn, F. H., Hydrologic response model of the North American Great Lakes, J. Hydrol., 37, 295-307, 1978.
16. Romanowicz, R., The problem of storage reservoir systems with stochastic inflows, Acta Geophys. Pol., 31(1), 87-96, 1983.
17. Simonovic, P. S., and M. A. Marino, Reliability programming in reservoir management 1, Water Resour. Res., 16(5), 844-848, 1980.
18. Sniedovich, M., Reliability-constrained reservoir control problems 1, Water Resour. Res., 15(6), 1574-1582, 1979.
19. Trezos, T., and W. W.-G. Yeh, Use of stochastic dynamic programming for reservoir management, Water Resour. Res., 23(6), 983-996, 1987.
20. Turgeon, A., Optimal operation of multireservoir power systems with stochastic inflows, Water Resour. Res., 16(2), 275-283, 1980.
21. Turgeon, A., A. decomposition method for the long-term scheduling of reservoirs in series, Water Resour. Res., 17(6), 1565-1570, 1981.
22. Unny, T. E., R. Divi, B. Hinton, and A. Robert, A model for real time operation of a large multi-reservoir hydroelectric system, paper presented at International Symposium on Real-Time Operation of Hydrosystems, Univ. of Waterloo, Waterloo, Ont., 1981.
23. Wasimi, A. S., and P. K. Kitandis, Real time forecasting and daily operation of a multi-reservoir system during floods by linear quadratic Gaussian control, Water Resour. Res., 19(6), 1511-1522, 1983.
24. Young, G. K., Finding reservoir operating rules, J. Hydraul. Div. Am. Soc. Civ. Eng., 93(HY6), 297-321, 1967.