Optimization of Multiple Reservoir Networks for Sedimentation Control
Publication: Journal of Hydraulic Engineering
Volume 126, Issue 4
Abstract
An optimal control methodology is developed to evaluate reservoir management policies that minimize sediment scour and deposition in multiple-reservoir river networks. Consideration is given to adverse effects occurring in both reservoirs and rivers of a hydraulic network. The sedimentation problem is formulated as a discrete-time optimal control problem in which a successive approximation linear quadratic regulator optimization scheme is coupled with the U.S. Army Corps of Engineers HEC-6 sediment transport simulation model. Operational constraints imposed on reservoir storage levels and releases are accommodated using either a bracket or hyperbolic penalty function method. The resulting model also allows the user to evaluate policies that alternatively maximize sedimentation or consider adverse effects only at specified locations. Comparisons of the computational efficiencies between the successive approximation linear quadratic regulator and differential dynamic programming methodology and between different penalty functions are performed. Capabilities of the model are demonstrated through applications to a hypothetical three-reservoir network and the Yazoo Basin river-reservoir network in Mississippi.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Brune, G. N. (1953). “Trap efficiency of reservoirs.” Trans. Am. Geophys. Union, 34(3), 407–418.
2.
Carriaga, C. C., and Mays, L. W. (1995). “Optimal control approach for sedimentation control in alluvial rivers.”J. Water Resour. Plng. and Mgmt., ASCE, 121(6), 408–417.
3.
Chang, L.-C., Shoemaker, C. A., and Philip, L.-F. L. (1992). “Optimal time-varying pumping rates for groundwater remediation: Application of a constrained optimal control algorithm.” Water Resour. Res., 28(12), 3157–3173.
4.
Churchill, M. A. (1948). “Discussion of `Analysis and use of reservoir sedimentation data' by L. C. Gottschalk.” Proc., Fed. Interagency Sedimentation Conf, U.S. Bureau of Reclamation, Denver, Colo., 139–140.
5.
Culver, T. B., and Shoemaker, C. A. (1992). “Dynamic optimal control for groundwater remediation with flexible management periods.” Water Resour. Res., 28(3), 629–641.
6.
HEC-6 scour and deposition in rivers and reservoirs. (1993). User's manual, Hydrologic Engrg. Ctr., U.S. Army Corps of Engineers, Davis, Calif.
7.
Lasdon, L. S., and Waren, A. D. (1989). GRG2 user's guide. Dept. of General Business, University of Texas at Austin, Austin, Tex.
8.
Li, G. ( 1994). “Differential dynamic programming for estuarine management,” PhD dissertation, Arizona State University, Tempe, Ariz.
9.
Li, G., and Mays, L. W. (1995). “Differential dynamic programming for estuarine management.”J. Water Resour. Plng. and Mgmt., ASCE, 121(6), 455–462.
10.
Lin, T.-W. (1990). “Well behaved penalty functions for constrained optimization.” J. Chinese Inst. of Chem. Engrg., Taipei, Taiwan, 13(2), 157–166.
11.
Lootsma, F. A. (1969). “Hessian matrices of penalty functions for solving constrained optimization problems.” Philips Res. Rep., 24, 322–331.
12.
Mays, L. W. (1997). Optimal control of hydrosystems. Marcel Dekker, New York.
13.
Morris, G. L., and Fan, J. (1998). Reservoir sedimentation handbook. McGraw Hill, New York.
14.
Nicklow, J. W. ( 1998). “Operation of multiple reservoir systems to control sedimentation in alluvial river networks,” PhD dissertation, Arizona State University, Tempe, Ariz.
15.
Reklaitis, G. V., Ravindran, A., and Ragsdell, K. M. (1983). Engineering optimization: Methods and applications. Wiley-Interscience Publication, New York.
16.
Smith, D. J. (1996). “A grand experiment; surveyors and scientists join forces to document the man-made flood of 1996.” Point of Beginning, August, 26–30.
17.
Tang, Z. ( 1995). “Methodology for simulation and optimal operation of soil aquifer treatment systems,” PhD dissertation, Arizona State University, Tempe, Ariz.
18.
Tang, Z., Li, G., Mays, L. W., and Fox, P. (1995). “Development of a methodology for the optimal operation of soil aquifer treatment systems.” Proc., 22nd Annu. Conf. on Integrated Water Resour. Plng. for the 21st Century, ASCE, 891–894.
19.
Tuncok, I. K. ( 1995). “Feedback method of control for estuarine management,” PhD dissertation, Arizona State University, Tempe, Ariz.
20.
Wurbs, R. A. (1993). “Reservoir-system simulation and optimization models.”J. Water Resour. Plng. and Mgmt., ASCE, 119(4), 455–472.
21.
Yakowitz, S., and Rutherford, B. (1984). “Computational aspects of discrete-time optimal control.” Appl. Math. and Comp., 15, 29–45.
22.
Yang, C. T. (1996). Sediment transport: Theory and practice. McGraw-Hill, New York.
23.
Yeh, W. W. (1985). “Reservoir management and operation models: A state of the art review.” Water Resour. Res., 21(12), 1797–1818.
Information & Authors
Information
Published In
History
Received: Apr 13, 1999
Published online: Apr 1, 2000
Published in print: Apr 2000
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.