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Re: [TCML] hoop stress in primary coil



jimlux wrote:
Anyone have a cookbook approximation kind of equation for the hoop stress in the primary? Or even, a single turn coil, given di/dt, etc.

I think that the stress on a single loop (or a coil) can be calculated as follows:

1- Obtain an expression for the inductance of the coil as function of the length x of the wire: L(x).
2- The energy stored in the loop with a current i is: E=0.5*L(x)*i^2
3- Differentiate the energy in relation to x. This gives the force along the wire: F=0.5*i^2*dL(x)/dx

If the inductance is expressed as function of other parameter, as the radius of the coil, the length of the coil, or the gap length in a coil with core, the same formula gives the force that
tries to change the parameter.

(I wrote "I think" above because I could not locate this idea anywhere to use as reference...)

Antonio Carlos M. de Queiroz



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