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.
For More Problems in Hydraulic Structure and Water Power Engineering
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