Wednesday, May 10, 2023

HSWPE 1

HSWPE 1

The amounts of water flowing from a certain catchment area at the proposed dam site are tabulated as follows. Determine: 
  • The minimum capacity of the reservoir if the water is to be used to feed the turbines of the hydropower plant at a uniform rate and no water is to be spilled over.
  • The initial storage required to maintain the uniform demand as above.

Month

Jan

Feb

Mar

Apr

May

Jun

Jul

Aug

Sep

Oct

Nov

Dec

Inflow

x105m3

2.83

4.25

5.66

18.4

22.64

22.64

19.81

8.49

7.10

7.10

5.65

5.66


ANS:

The computation is done in a tabular form below


This value has been entered in column (3) of the below table.

Month

Inflow

(x105m3)

Av. Demand

(x105m3)

Deficit

(x105m3)

Surplus

(x105m3)

1

2

3

4 = 3 - 2

5 = 2 - 3

January

2.83

10.8533

8.0233

 

February

4.25

10.8533

6.6033

 

March

5.66

10.8533

5.1933

 

April

18.40

10.8533

 

7.5467

May

22.64

10.8533

 

11.7867

June

22.64

10.8533

 

11.7867

July

19.81

10.8533

 

8.9567

August

8.49

10.8533

2.3633

 

September

7.10

10.8533

3.7533

 

October

7.10

10.8533

3.7533

 

November

5.66

10.8533

5.1933

 

December

5.66

10.8533

5.1933

 

Sum

130.24x105

130.24x105

 

40.0766x105


Since no water is to be spilled, the minimum capacity will be equal to the sum of the surplus water.


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