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Exercise Problems

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1.

A hydroelectric generating station is supplied from a reservoir of capacity 5*10 6 cubic meters at
a head of 200 meters. Find the total energy available in kWh if the overall efficiency is 75%.
2. It has been estimated that a minimum run off of approximately 94 m 3/sec will be available at a
hydraulic project with a head of 39 meters. Determine (a) firm capacity (b) yearly gross output.
Assume the efficiency of the plant is 80%.
3. Calculate the average power in kW that can be generated in a hydro-electric project from the
following data:
Catchment area = 5 * 109 m2 ; mean head, H = 30 m
Annual rainfall, F = 1.25 mts ; Yield factor, K = 80 %
Overall efficiency = 70%
If the load factor is 40%, what is the rating of generators installed?
4. A hydro-electric power station has a reservoir area of 2.4 square kilometers and capacity 5 * 10 6
m3. The effective head of water is 100 meters. The penstock, turb ine and generator efficiencies
are respectively 95%, 90% and 85%.
Calculate the total electrical energy that can be generated from the power station. If a
load of 15,000 kW has been supplied for 3 hours, find the fall in reservoir level.
5. A factory is located near a water fall where usable head for power generation is 25 m. the
factory requires continuous power of 400 kW throughout the year. The river flow in a year is (a)
10 m3/sec for four months, (b) 6 m3/sec for 2 months and (c) 1.5 m3/sec for 6 months.
 If the site is developed as a run-of-river plant, without storage, determine the standby
capacity to be provided. Assume the overall efficiency of the plant is 80%.
 If a reservoir is arranged upstream, will any standby unit be necessary? What will be the
excess power available?
6. A run-of-river plant with pondage has the following data:
Installed capacity = 10 MW ; water head, H = 20 m
Overall efficiency = 80% ; load factor = 40%
(a) Determine the river discharge in m3/sec required from the plant.
(b) If on a particular day, the river flow is 20 m 3/sec, what load factor can the plant supply?
7. The weekly discharge of a typical hydro-electric plant is as under:
Day Sun Mon Tue Wed Thu Fri Sat
Discharge 500 520 850 800 875 900 546

The plant has an effective head of 15 mts and an overall efficiency of 85%. If the plant
operates on 40% load factor, estimate,
(a) The average daily discharge
(b) Pondage required
(c) Installed capacity of proposed plant

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