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poster - International Conference of Agricultural Engineering

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eleases at period t; I(t) = reservoir inflow at period t; R i (t) = release at ith outlet at time<br />

period t; n = number <strong>of</strong> total outlets; S LS and S max = lower and upper bounds on reservoir<br />

storage amount; R i<br />

min<br />

and R i<br />

max<br />

= lower and upper bounds on reservoir release at ith outlet;<br />

and T p = number <strong>of</strong> total periods, respectively.<br />

2.2.2 Optimal value searching method<br />

Among optimization algorithms, global search methods have been reported to efficiently<br />

discover the minimum <strong>of</strong> multi-modal functions, irrespective <strong>of</strong> where in the variable space<br />

the search procedure is started. There are well known global optimization methods, such<br />

as Uniform Random Search (URS), Adaptive Random Search (ARS), Multiple Start<br />

Simplex (MSX), Genetic Algorithm (GA), simulated annealing method, Annealing-Simplex<br />

(A-S) method, and SCE-UA method. Particularly, the SCE-UA method has been tested<br />

by comparing it with other methods, and it proved to be consistent, effective, and efficient<br />

in locating the globally optimal variables (Duan et al., 1994). In this study, the SCE-UA<br />

method is employed to search for optimal variables during reservoir operation periods.<br />

3. Application and Results<br />

The model’s applicability is evaluated through the reviews <strong>of</strong> the results from its<br />

applications to optimal water allocations <strong>of</strong> both Balan Reservoir and Seomjin Dam in<br />

South Korea that are an irrigation reservoir and a multi-purpose, multi-outlet dam,<br />

respectively.<br />

3.1 Single-Purpose, Irrigation Reservoir Operations<br />

The model is applied to the optimal operation <strong>of</strong> a single-purpose reservoir. The case<br />

study reservoir is Balan Reservoir in the Balan watershed, which is 2,649ha in area and<br />

includes two irrigation reservoirs, as shown in Fig. 2. To simulate daily inflows for the<br />

reservoir, the streamflow network model, SSARR, is utilized using the system<br />

configuration as shown in Fig. 3. In this study, to generate the demand for agricultural<br />

water, a water demand computation sub-model is used, taking into account the amounts<br />

<strong>of</strong> water required by irrigated rice paddy fields and the application efficiency <strong>of</strong> irrigation<br />

districts. During the optimal operations, the differences in amounts <strong>of</strong> total water<br />

releases between the observed and simulated range from -2.6 % to 10.5 %, varying with<br />

each simulation case, and the operation results indicate that optimal release patterns are<br />

similar to those <strong>of</strong> the observed as shown in Fig. 4.<br />

HS#5<br />

1<br />

Kicheon<br />

reservoir<br />

A-4<br />

IG#4<br />

2<br />

A<br />

A4<br />

R-4 RT#4<br />

Figure 2: Watershed boundary <strong>of</strong><br />

the Balan watershed<br />

RT#1<br />

IG#1<br />

Balan<br />

reservoir<br />

R-1<br />

A-1<br />

A1<br />

HS#1<br />

3<br />

6<br />

C<br />

7<br />

HS#4<br />

5 B 4<br />

HS#2<br />

HS#3<br />

Legend<br />

Reservoir<br />

Watershed<br />

Transfer<br />

point<br />

Channel<br />

reach<br />

Figure 3: Configuration <strong>of</strong> the study<br />

watershed system

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