Capacity – Yield Relations

1. Capacity – Yield Relations Water Resources Planning and Management Daene C. McKinney

2. Y K 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

3. St Maximize Yield (Y), Given Capacity (K) Y Qt Rt K

4. Max Y, Given K - Result Result from running model one time with capacity K = 8, then Yield Y = 3.6

5. Capacity – Yield Function Result from running model numerous times with K = 0, 0.5, 2, etc Given Find Yield Capacity

6. St Y Qt Rt K Minimize Capacity (K), Given Yield (Y) Given Find

7. Toktogul Power = 1,200 MW Height = 140 m Capacity = 19.5 km3

8. Lt At Evaporation Toktogul on the Naryn River in Kyrgyzstan • LtLosses from reservoir • A Surface area of reservoir • et ave. evaporation rate

9. Lt At Evaporation

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

11. K Lt St Et Ht Qt 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

12. Head vs Storage Relation Toktogul on the Naryn River in Kyrgyzstan

13. Lt St Et Qt Rt K Model Rt = Release (m3/period) Dt = Demand for water (m3/period)

14. Lt St Et Qt Rt K Toktogul Operation