Maximizing Power Production on a River: Can We Meet Our Needs?

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Increasing the number of hydropower stations along a river can enhance power production, but it is limited by the river's overall energy potential and physical characteristics. Each station extracts energy from the river, and the total energy available is determined by the height of the drop and the flow rate. While multiple turbines can be installed, the efficiency of energy conversion decreases with more stations due to losses. Ultimately, there is an optimal number of stations that balances energy extraction and minimizes conversion losses. Real-world factors, such as river length and flow dynamics, further constrain the feasibility of adding more hydropower plants.
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Suppose along a river which is descending a mountain.On the river there are 10 hydropower stations A,B,C...J suppose at distances of 10km each.Now each station producees 100MW Power.So we get 1000MW.
My Question is 'In this way can we produce as much power as we require by increasing number of stations on the same river at our discretion?'
 
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As you can imagine, each station is extracting energy from river, so somehow something must be "adding" energy to the river before it can be extracted. Can you think of what that "something" may be? Hint: you already referred to it in your post, but perhaps without thinking about exactly what it means in this situation.
 
I understand that potential energy and kinetic energy as well of water is getting converted to rotational energy of turbine wheels at each stage.But still can we get energy at our discretion?
 
Depends on the overall fall you have available.
 
So in overall fall of 1000 metres suppose we can install maximum numver of plants!
 
gianeshwar said:
Suppose along a river which is descending a mountain.On the river there are 10 hydropower stations A,B,C...J suppose at distances of 10km each.Now each station producees 100MW Power.So we get 1000MW.
My Question is 'In this way can we produce as much power as we require by increasing number of stations on the same river at our discretion?'

gianeshwar said:
So in overall fall of 1000 metres suppose we can install maximum numver of plants!

One turbine for the full drop produces twice the power of 2 turbines with half drop, and so on. The total energy available from the drop does not change by adding more turbines along the way.

In fact, there will be some optimum number of stations that minimize the losses in the conversion, but the total power output will still have a maximum that is a bit less than the total energy stored in the water drop.
 
I thank all friends answering.
 
Well as long as after each station there is maintained the same amount of water and the same decrease in height (gravitational potential of the flowing water) the you could extract the same amount of power as in the station before but you realize that in real life rivers don't flow just downwards also they are not infinitely long so that puts a limit on how much hydro power plants we can physically put on a single river so that each of them would be useful.
 
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