CE 385 D Water Resources Planning and Management

1
CE 385 D Water Resources Planning and Management

• Capacity Yield Relations

2
Firm Yield - With Storage

• Increase firm yield add storage capacity
• Capacity (K) - Yield (Y) relationship
• Capacity (K) for various yields (Y), or Yield (Y)
  for various capacities (K)
• Simple methods
• Rippl, Sequent Peak
• More complex methods
• Optimization

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Maximize Yield (Y), Given Capacity (K)

• SETS
• t TIME (MONTHS) / 19 /
• PARAMETER Q(t) INFLOW
• /
• 1 1.0
• 2 3.0
• 3 3.0
• 4 5.0
• 5 8.0
• 6 6.0
• 7 7.0
• 8 2.0
• 9 1.0
• /
• SCALAR K CAPACITY /8/
• VARIABLES Y Yield
• POSITIVE VARIABLES
• S(t) STORAGE

output file Spill /Max_Y.txt/ put Spill put '
Results from Max_Y model', put // write yield
and capacity put ' Capacity ', put K, put / put '
Yield ', put Y.l, put // write inflow,
storage, release, and yield in each period put '
Inflow Storage Excess Release Yield '
put / put ' Q(t) S(t) R(t)
Y ' put / loop( t, put Q(t), put S.l(t),
put R.l(t), put Y.l, put /)
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Max Y, Given K - Result
Result from running model one time with capacity
K 8, then Yield Y 3.6
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Capacity Yield Function
Result from running model numerous times with K
0, 0.5, 2, etc
Given
Find
Yield
Capacity
6
Minimize Capacity (K), Given Yield (Y)
Given
Find
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Toktogul
Power 1,200 MW Height 140 m Capacity 19.5
km3
8
Evaporation
Toktogul on the Naryn River in Kyrgyzstan

• Lt Losses from reservoir
• A Surface area of reservoir
• et ave. evaporation rate

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Evaporation
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Hydropower Production
Hoover Dam 2,074 MW 158 m 35 km3
Grand Coulee Dam 6,809 MW 100 m 11.8 km3
Toktogul Dam 1,200 MW 140 m 19.5 km3
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Power Production

• Qt Release (m3/period)
• qt Flow (m3/sec)
• Pt Power (kW)
• Et Energy (kWh)
• Ht Head (m)
• e efficiency ()
• timet sec in period t

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Head vs Storage Relation
Toktogul on the Naryn River in Kyrgyzstan
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Model
Rt Release (m3/period) Dt Demand for water
(m3/period)
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Toktogul Operation