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%.Question 4: The three gorges dam is rated at maximum output. If its generating efficiency is 90 % and its head is 81 m what is the rate of flow in (kg/s) of water through its turbines at maximum output.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.
- In a hydroelectric project, a discharge of 400 m/s is available with net head of 32 m. If two turbines of same size having specific speed Ns are required to give an efficiency of 90 % then Ng (in Sl unit) of each turbine is_ (Assume speed of each turbine to be 152 r.p.m.).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?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?
- QUESTION 3 Water must flow over a distance of 2 800 m from a large catchment dam to a turbine. The water level in the catchment dam is 1 620 m above sea level and the turbine is situated 1 275 m above sea level. The efficiency of transmission is 65% and 300 kW must be transmitted from the pipeline to the turbine. If f 0.007, determine the number of 200 mm diameter pipelines, which must be laid in parallel, needed to transmit the required power.In a hydroelectric power plant, water at 4°C is supplied to the turbine at a rate of 0.58 m³/s through a 195 m-long and 0.34 m-diameter cast iron pipe, as shown in the following figure.. The elevation difference between the free surface of the reservoir and the turbine discharge is 135 m, and the combined turbine-generator efficiency is 85 percent. Disregarding the minor losses due to the large length-to-diameter ratio of the pipe, determine the electric power output of this plant. The density and dynamic viscosity of water at 4°C are p = 1,000 kg/m³ and μ = 1.6×10-³ kg/m-s, and the roughness of the cast iron pipe is & 0.00026 m. = Water 135 m 195 m 0.34 m TurbineIn the mountains, hydroelectric facilities transport water from a reservoir through enclosed tubes to a turbine. In these plants, the intake tube of 100 cm (Point 2), 50 meters in diameter, is under the water surface of the reservoir (Point 1). Before the turbine falls into a 50-cm diameter bucket 200 meters through the tube (Point 3). (a) What is the speed of the water in the image when the turbine approaches Point 3?(b) Calculate the flow rate of the water at Point 3(c) Calculate the pressure P at point 1 (water surface), point 2 (intake) and Point 3 (nozzle), respectively
- A pump delivers water at a rate of 0.025 m³/s against a head of 30 m. If the overall efficiency of the pump is 75%, the power required by the pump is: A. 1 kW B. 4.9 kW C. 7.8 kW D. 9.8 kWAn HES with a large water storage reservoir and a dam is operating underthe following conditions:• Number of hydro turbines n = 9• Power plant capacity factor CF = 0.62• Water flow rate Q = 125 m3/s (per turbine)• Net water head H = 490 m• Power plant overall (electrical) efficiency ηel = 0.9Determine (a) the electric power output and (b) the annual power generation of the plant.Two reservoirs A and B have elevations of 250 m and 100 m, respectively. It is connected by a pipe having adiameter of 250 mm and a length of 100 m. A turbine, with an efficiency of 0.95, which is installed at a point inbetween A and B, is used to supply 233 kW of electric power to a nearby community. If the total head loss as watertravelled from reservoir A to B is 25 m, determine the discharge inside the pipe in liters per second.