Question

In: Mechanical Engineering

A tidal power plant of single-basin type, has a basin area of (24+n1000) km2. The tide...

A tidal power plant of single-basin type, has a basin area of (24+n1000) km2. The tide has a range of 10 m. The turbine stops when the head on it falls below 3m. Calcualte the average power generated during one filling/emptying proces in MW. Assume the turbine-generator efficiency is 70% and the time taken as 22350 seconds. Take sea water density = 1025 kg/m3. n=57

Solutions

Expert Solution

Given

Solution

The area of the basin is given as,

( Please recheck this equation for any decimel point, because the basin area is huge!)

changing into m2

The potential energy available in the seawater (if the basin is empty)

Here the turbine stops when z =3m, therefore the above equation changes to,

upon integration

Pluging the values,

  

The Power generated is,

or   (1.166 trillion Watts !)

With the turbine efficiency of 70 % the average power generated is,

The average power generated in one filling/emptying process is 816196.868 MW

The obtained value is practically impossible, so please check the area equation

[ If range

or  

The practically correct answer would lie in this range ]


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