A hydroelectric power station is supplied from a reservoir having an area of 50 km2 and a head of 50 m. If overall efficiency of the plant is 60%, find the rate at which the water level will fall when the station is generating 30,000 kW
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A hydroelectric power station is supplied from a reservoir having an area of 50 km2
and a head of 50 m.
If overall efficiency of the plant is 60%, find the rate at which the water level will fall when the station
is generating 30,000 kW
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- The flow of a river is 150 cubic feet per second at a site where a 75 feet hydrostatic head canbe created by the erection of a dam. What is the potential capacity (in kW) of a hydroelectricpower plant if installed at this site? Consider that hydraulic efficiency of energy conversioncan be 80%, and that the electric efficiency can be 90%.A turbine is rated at 600hp when the flow of water through it is 82cu.m/sec. Assuming an efficiency of 92%, what is the head acting on the turbine?Design head at China’s Three Gorges Dam, the largest hydropower project in the world, is 80.6 m, and rated power output of each of the 32 turbine generator units is 700 MW. If the efficiency of each of the turbine generator units at full power output is 93.2%, what is the design flow through each turbine?
- Water flows through a 7.5 m diameter penstock on a dam at a flow rate of 113 m3/s. The total head available for the turbine is 18.4 m. The specifiic weight of water is 9810 N/m3. What is the power generated by the turbine?A dam is shaped like a parabola (y = x^2) and has a height of 150 meters. The water's density is 1000kg/m3. Pt 1. FInd the total energy stored by this dam. Pt 2. If fourty-percent of the total energy from the dam was consumed, what would be the water level's new hight? Pt 3. If a city was using this dam for its energy and consumed 12 x 107 MW of power, how much time would it take for the level of the dam to drop down to the height in part 2?A hydroelectric power generating system is shown in the figure. Water flows from an upper reservoir to a lower one passing through a turbine at the rate of 187 liters per second. The total length of pipe connecting the two reservoirs is 143 m. The pipe diameter is 376 mm and the Hazen-Williams coefficient is 143. The water surface elevations of reservoirs 1 and 2 are 210 m and 68 m, respectively. Determine the power in kW required by the turbine if it is 79% efficient? Neglect minor losses. round your answers in 3 decimal places
- The water behind a Dam is 206 m higher than the River below it. The water inthe dam is allowed to flow into the river to generate power.(i) Describe the energy conversions that take place at the hydro powergeneration plant.(ii) Apply the steady flow energy equation to determine the rate the water mustpass through the hydraulic turbines of this dam to produce 50 MW of power if theturbines are 100 percent efficient?takes in 30 m3/s of water from a Reservoir A at el. 100 m through its turbine and discharges it at v = 2 m/s at atmospheric pressure. The head loss in the turbine and penstock system is hf = 20 m. If the efficiency of the turbine is 90%, how much power will be generated by the turbine?At a proposed hydroelectric power plant site, the average elevation of headwater is 600m and the tailwater elevation is 480m. The average annual water flow is determined to be equal to that volume flowing through a rectangular channel 4m wide and 0.5m deep and average velocity of 5.5m/s. Assuming the plant will operate 350 days/year, find the energy kwh that the plant site can developed if the hydraulic turbine that will be used has an efficiency of 78% and generator efficiency of 90%. Consider a headwork loss of 4% of the available head.
- 2. Consider the system described in the news: at night, when there is energy left, water is pumped from a large lake to a reservoir at 80 m above the lake level. During the day, this water is used to generate energy in a turbine located 80 m below the elevated reservoir. Considering that the water flow is always 5000 liters/s (both at the inlet of the reservoir and at the outlet) and that the pump and turbine efficiencies are 70%, what is the power (in kW) required by the pump and the power (in kW) recovered in the turbine. Data: The pipe diameter is always the same along the system (d = 0.5 m); g = 10 m/s2; γ = 9810 N/m3. Matter transport phenomena; Please make it typeable as handwriting interferes with understanding5. Water is pumped 14.5 km from a reservoir at elevation 30 m to another reservoir at elevation 70 m. The steel pipeline connecting the reservoirs has a nominal diameter of 1400 mm (the actual inside diameter is 1372 mm) with C = 90. If the flow is 1.18 m3/s, the pumping efficiency is 82%, and electricity costs $0.14/kWh. Assuming that the density of water is 1000 kg/m3, what will be the monthly power bill? Sketch the hydraulic and energy grade lines.Discuss the benefits of pumped storage hydropower (PSH).