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Optimal operation of a multibasin reservoir system

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Abstract

A simulation-optimization procedure is presented for evaluating the extent of interbasin transfer of water in the Peninsular Indian river system consisting of 15 reservoirs on four river basins. A system-dependent simulation model is developed incorporating the concept of reservoir zoning to facilitate releases and transfers. The simulation model generates a larger number of solutions which are then screened by the optimization model. The Box complex nonlinear programming algorithm is used for the optimization. The performance of the system is evaluated through simulation with the optimal reservoir zones with respect to four indices, reliability, resiliency, vulnerability and deficit ratio. The results indicate that by operating the system of 15 reservoirs as a single unit the existing utilization of water may be increased significantly.

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Abbreviations

DEF L t :

deficit in reservoir L in periodt

DEM k t :

existing irrigation demand at reservoirk in periodt

DIV k t :

diversion from reservoirk in periodt to meet its own demand

D k t :

deficit in reservoirk in periodt

d k t :

water demand at reservoirk in periodt

F :

failure index

I k t :

natural inflow to reservoirk in periodt

INCR:

factor by which irrigation demands are multiplied (≥ 1.0)

INCR1k :

factor by which the monsoon irrigation demands at reservoirk are multiplied (≥ 1.0)

INCR2k :

factor by which the nonmonsoon irrigation demands at reservoirk are multiplied (≥ 1.0)

j :

season index;j = 1 for monsoon season andj = 2 for nonmonsoon season

L:

index for the reservoir to which a release from reservoir M is possible

M:

index for the current reservoir (reservoir from which releases and transfers are being computed)

P:

index for the reservoir to which a transfer from the reservoir M is possible

R M,L t :

release from reservoir M to reservoir L in periodt

S M1t :

storage at reservoir M in periodt after accounting for diversions and releases

S k it :

storage at the beginning of periodt in reservoirk

S L t :

storage in reservoir L in periodt after accounting for transfers and releases already committed to reservoir L from reservoirs other than the reservoir M

S MAX :

maximum storage

S MIN :

minimum storage

S REL :

storage level above which a release is allowed

S REL,j :

storage level at a reservoir for the seasonj above which release from the reservoir is allowed

S MREL,j :

storage level of reservoir M in seasonj, above which release from reservoir M is allowed

S TRA :

storage level above which a transfer is allowed

S TRA,j :

storage level at a reservoir for the seasonj above which transfer from the reservoir is allowed

S MTRA,j :

storage level of reservoir M in seasonj above which transfer is allowed

t :

period index

T i :

target in periodi

T M,P t :

amount of water transferred from reservoir M to reservoir P in periodt

U k t :

amount of water utilised from reservoirk in periodt

γ :

resiliency

Δ i :

deficit in periodi

δ :

deficit ratio

v :

vulnerability

ρ :

reliability

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology, 400 076, Bombay, India

    V Vijay Kumar & B V Rao

  2. Department of Civil Engineering, Indian Institute of Science, 560 012, Bangalore, India

    P P Mujumdar

Authors
  1. V Vijay Kumar
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  2. B V Rao
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  3. P P Mujumdar
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Correspondence to V Vijay Kumar.

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Vijay Kumar, V., Rao, B.V. & Mujumdar, P.P. Optimal operation of a multibasin reservoir system. Sadhana 21, 487–502 (1996). https://doi.org/10.1007/BF02745571

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  • DOI: https://doi.org/10.1007/BF02745571

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