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

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 ]

samet mamat answered 2 years ago

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