Folded Dynamic Programming for Optimal Operation of Reservoir for Flood Control
Dr. D. Nagesh KumarProf Satish Dhawan Chair Professor
Dept. of Civil Chairman, Centre for Earth SciencesIndian Institute of Science, Bangalore
URL: http://www.civil.iisc.ac.in/~nagesh
Folded Dynamic Programming for Optimal Operation of Reservoir for Flood Control
Dr. D. Nagesh KumarProf Satish Dhawan Chair Professor
Dept. of Civil Engg. & Chairman, Centre for Earth SciencesIndian Institute of Science, Bangalore
URL: http://www.civil.iisc.ac.in/~nagesh
Outline
• Flood Control• Optimal Reservoir Operation• Folded Dynamic Programming• Hirakud Reservoir Operation during Floods• Application• Rule Curves Development• Conclusions
Optimal Reservoir Operation for Flood Control using Folded Dynamic ProgrammingD. Nagesh Kumar, Falguni Baliarsingh and K. Srinivasa RajuWater Resources Management, Springer, 24 (6), April 2010, pp. 1045
Reservoir Operation during Floods
Optimal Reservoir Operation for Flood Control using Folded Dynamic Programmingand K. Srinivasa Raju
Water Resources Management, Springer, 24 (6), April 2010, pp. 1045-1064
Flood Control
• Structural & Non-structural Measures• Reservoir Operation for Flood Control• Dynamic Programming (DP) for Reservoir Operation• Curse of Dimensionality
• Number of State Variables• Number of Discrete classes for State Variables
• Various Approaches• IDP, DDDP, DPSA, IDPSA, Binary State DP
structural MeasuresReservoir Operation for Flood ControlDynamic Programming (DP) for Reservoir Operation
Number of Discrete classes for State Variables
IDP, DDDP, DPSA, IDPSA, Binary State DP
Folded Dynamic Programming
Hirakud Reservoir in Mahanadi Basin
Dead Storage Level 179.83 m1,816 MCM
Full ReservoirLevel 192.02 m7,197 MCM
Hirakud Reservoir in Mahanadi Basin
Flood Data
• Data of 68 flood events during 1958• Peaks of inflow hydrograph• Peak of outflow from reservoir during each flood• Peak of flow hydrograph at NarajHirakud data book (Patri, 1993)
• Reservoir operation during flood season • July 1 (Empty) - Sep 30 (Full) • 92 days
Data of 68 flood events during 1958-1995
Peak of outflow from reservoir during each flood
Reservoir operation during flood season
Peaks of inflow hydrograph into the reservoir (thousand cumecs)
Representative series of inflow into the reservoir with peak of 37 thousand cumecs
Hypothetical series for inflows into the reservoir are calculated with peaks of 9, 23, 37, 51, 60, 74, and 80 thousand cumecs (PMF)
Peaks of calculated d/s catchment contribution(thousand cumecs)
Representative series of d/s contributions with peak of 25.5 thousand cumecs
Naraj
Hypothetical series for d/s contributions are calculated with peaks of 3, 9, 14, 20, and 25.5 thousand cumecs (Non Damaging Flow)
Worst Flood Combinations
• Combination of 51, 54, 57 thousand reservoir with 25.5, 20, 14 thousand catchment contribution are considered as critical combinations for flood situation.
• FDP is applied to the three critical conditions
Worst Flood Combinations
Combination of 51, 54, 57 thousand cumecs as peak inflow into reservoir with 25.5, 20, 14 thousand cumecs respectively as peak d/s catchment contribution are considered as critical combinations for
FDP is applied to the three critical conditions
FDP for HirakudReservoir Operation
FDP for HirakudReservoir Operation
Minimum and maximum possible storages for critical combinations
Rule Curves for Critical Flood Conditions
Conclusions
• Folded Dynamic Programming is developed for the flood control of Hirakud reservoir operation
• Rule curves developed for the worst combinations of inflow and d/s contributions can be utilized
Folded Dynamic Programming is developed for the flood control of
Rule curves developed for the worst combinations of inflow and d/s
Thank youThank you
