Eddy current power dissipation at sharp corners: an approximate variational conducting wedge solution and simple function fit for general ratios of internal to external magnetic permeabilities

Abstract

An integral equation for the right-angle finitely conducting corner is derived. A variational principle is used to construct an approximation for the corner constant; the value of the corner constant serves to correct the internal impedance per unit length of conductors when sharp comers are present. The external impedance solution is chosen as the tangential magnetic field trial function. Complex rotation of the radial coordinate in the variational expression is performed to reduce the calculation to numerical integration of a real quantity. A simple function is introduced to fit the calculated corner constant for general ratios of internal to external magnetic permeabilities.