Water at a height of 200 meters can only produce a certain pressure, and the size of the pressure is related to the area.
Pressure P = ρgh
If 1 ton of water is produced per second, the power can be calculated. Suppose the cross section is S, then the work will be done in 1 second
W=Fs=P*S * V/S=PV=ρgh * m/ρ=mgh=1000*10*200 =2*10 ^6 joules
That is to say a generator with a power of 2000 kilowatts.
A water outlet with a diameter of 1 meter is opened at the bottom of the 200-meter-high dam, which can be equipped with its powerful impact. How big is the generator? In other words, how big can the opening be?
No. The water height is 2 meters high, and the power that can be installed is 1.0976 kW. A 1000 kW generator cannot be driven and must be replaced. Water height refers to the mechanical energy of the liquid per unit weight, including the heightposition, pressure height and flow height. The sum of the three is the total height. The sum of the position height and the pressure height is the pressure height.
I want to calculate the optimal speed of the generator of the Three Gorges Dam
Suppose that the water column with a length of △x has an ejection zone S=π /4 and a pressure P =ρgh=2^6Pa
p>According to the kinetic energy theorem P*S*△x=1/2*(ρ*S*△x) *V^2
We obtain V=√2p/ρ=20√10m/ s
Suppose that the speed of the water after passing through the generator is 0 and that the impact force is F
According to the impulse theorem F*△t=(ρ*s*V*△t)*V< /p>
Obtain F=2P*ρ* s=π10^9
Power P'=F* V
Calculate the result yourself
But the actual power should be less than this
p>
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The Three Gorges Dam is not 170 meters high, only about 130 meters, and 175 meters is the altitude. The water height (the difference in water level between the dam and the dam) is approximately 100 meters (during the rainy season). There is no point in calculating the optimal rotation speed of the generator, because as long as it is a generator for the power grid, the rotation speed is fixed, and one revolution will not change. No more, not even one turn less (except for wind power, which is a DC permanent magnet generator). The Three Gorges Generator is the largest hydrogenerator in the world, with a power of 700,000 kilowatts and a rotation speed of 75 rpm (because the generator has 40 pairs of magnetic poles, or 80 poles. The nominal production voltage electricity is 20). kV, the nominal current is 22,453 amps, 75. The rotation speed cannotn case be changed, otherwise you will not be able to access the Internet.