Hi,
Yes there are formulas that provide for the selection of a core based approximately on the power that needs to be handled and the window area. I'd have to look them up now. But you still have to satisfy that equation with the number of turns for a given core area. The more turns the less saturation. In this case though you are working at 1000Hz which is a little higher than typical for steel that is usually used at 50 to 400Hz. I think you might use steel that is made for 400Hz and lower the flux density.
You really should get some data on the type of steel you intend to use. When you find the steel you find the manufacturer and when you find the manufacturer you find the data and design examples. One such manu is called (or was called) Magnetics, Inc. They have a site on the web. You can learn a lot from their literature.
Yes there are formulas that provide for the selection of a core based approximately on the power that needs to be handled and the window area. I'd have to look them up now. But you still have to satisfy that equation with the number of turns for a given core area. The more turns the less saturation. In this case though you are working at 1000Hz which is a little higher than typical for steel that is usually used at 50 to 400Hz. I think you might use steel that is made for 400Hz and lower the flux density.
You really should get some data on the type of steel you intend to use. When you find the steel you find the manufacturer and when you find the manufacturer you find the data and design examples. One such manu is called (or was called) Magnetics, Inc. They have a site on the web. You can learn a lot from their literature.