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30000
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5000
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FIGURE 15.7 A typical seasonal flow rate variation for the Three Gorges Dam, China.
Solution. The electricity production is a function of the available water flow rate. If the
water flow is used at maximum when available or the penstock gate opening is constant,
Eqn (15.6) leads to
Q 1
Q 2
3
P 1
P 2 ¼
assuming the efficiency and flow rate constant are constants. Therefore, a drop of water flow
rate by a factor of 10, would result in an available power production by a factor of 1000.
If the Penstock gate opening is controlled to maintain constant water level, then Eqn (15.3)
leads to
Q 1
Q 2
assuming the efficiency and flow rate constant are constants. Therefore, a drop of water flow
rate by a factor of 10 would only result in an available power production by a factor of 10.
This is highly desirable as compared to a constant penstock gate opening.
The major advantage of hydroelectricity is renewability: elimination of the cost of fuel.
Hydroelectric plants also tend to have longer economic lives than fuel-fired generation,
with some plants now in service, which were built 50 e 100 years ago. Operating labor cost
is also usually low, as plants are automated and have few personnel on site during normal
operation.
Where a dam serves multiple purposes, a hydroelectric plant may be added with relatively
low construction cost, providing a useful revenue stream to offset the costs of dam operation.
P 1
P 2 ¼
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