The water behind a Dam is 206 m higher than the River below it. The water in the dam is allowed to flow into the river to generate power. (i) Describe the energy conversions that take place at the hydro power generation plant. (ii) Apply the steady flow energy equation to determine the rate the water must pass through the hydraulic turbines of this dam to produce 50 MW of power if the turbines are 100 percent efficient?

The water behind a Dam is 206 m higher than the River below it. The water in the dam is allowed to flow into the river to generate power. (i) Describe the energy conversions that take place at the hydro power generation plant. (ii) Apply the steady flow energy equation to determine the rate the water must pass through the hydraulic turbines of this dam to produce 50 MW of power if the turbines are 100 percent efficient?

Sustainable Energy

2nd Edition

ISBN:9781337551663

Author:DUNLAP, Richard A.

Publisher:DUNLAP, Richard A.

Chapter18: Energy Storage

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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.
An 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.
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.
A turbine system is harnessing the energy of flowing water from reservoir 1 to reservoir 2. The difference in elevation between the two reservoirs is 120ft. For a design ftowrate of 50ft^3/s, the head loss is 60ft. Solve the theoretical power extracted by the turbine. Neglect the difference in atmospheric pressure between the reservoirs. O 1022hp O 490hp O 341hp O 817hp
A turbine is rated at 700 hp when the flow of water through it is 0.72 m3/s. Assuming the efficiency is 78%. What is the head acting on the turbine? O 94.79 m O 71.23 m 59.28 m O 111.21 m
A hydraulic turbine is used to generate power by using the water in a dam. The elevation difference between the free surfaces upstream and downstream of the dam is 130 m. The water is supplied to the turbine at a rate of 150 kg/s. If the shaft power output from the turbine is 140 kW, determine the efficiency of the turbine.
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 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.
Problem 1: Hydroelectric Power For the reservoir shown, what is the theoretical power available at point 2? Assume the pressure at point 2 is atmospheric. That is, what horsepower can be generated by an ideal turbine (n = 100%) that converts all of the kinetic energy at point 2 into electrical power? [hp] Reservoir Me Pipeline Static Level- EL Assume the reservoir water surface is at elevation z = 68 ft, point M is at z = 32 ft, point 2 is at z = 0.0 ft, and the pipeline diameter is D = 1.0 ft. Head loss in the pipeline is h/= 10.0 ft.
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?
In 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