Defining dimensions of a linear eddy current brakes permanent magnets

[os220]

I am designing an eddy current brake system for use in roller coaster design.

I have the flux density required to reduce the speed to what i want it to be. what i need to do from that is work out the dimensions needed to obtain his flux density.

the configuration is for identical magnets facing each other in attracting positions with a cooper fin acting as the ferrinagnetic material and a NdFeB magnet

what formulas do i need to do this

i also have the force need to stop the coaster

ollie

 

[Curl]

the fin is bolted to the rail?

What you must consider is the EMF induced in the copper conductor, then calculate the current, after which you can find the power dissipated (assuming you know the resistance of the copper fin). To find current use faraday's law, or, if you have a decent imagination, you can use the Lorrentz force relation directly.

 

[os220]

The fin is bolted to the underside of my cart with the magnets located at the point at which my cart needs to brake

Due to the fact that i have no electrical current running through the magnets (the are permanent magnets) how do i calculate the necessary set up to reduce the carts speed.

I know that eddy current magnets only reduce the speed proportionally and i will therefore need several lines of magnets