【正文】
urrents quasistatics, unknown V: 0)( 0 ?????? rmr V B??Magostatics, no currents: 2:nd Order PDEs Quasistatics, unknown V and A: Electromagic Waves, unknown A, E or H: eeJAvAAJAvA????????????????????????????? VjjVjjrrrrr)()()()(0))()()((011002002??????????????????????0HH0EE0AAA??????????????????????????????rrrrrrkjjkttt?????????????????201002011000))(()()()()(A First Model ? How to work your way through – Draw mode – Boundary mode – Subdomain mode – Mesh mode – Solve mode – Post mode Example: Inductance in Coil Introduction ? This model concerns the current distribution in a singlewire copper coil ? A parametric study of the skin effect with a varying frequency is performed ? The inductance is calculated as a function of the frequency Geometry ? The coil is modeled exploiting the axial symmetry of the problem. Only the rz。 r0 halfplane needs to be considered. ? The surrounding air is represented by a half circle, corresponding to a sphere in 3D. Domain Equations and Boundary Conditions ? Using the Azimuthal Currents application mode, we solve for the magic potential, whose only ponent is in the phi direction ? An applied voltage drives the current through the loop ? Magic insulation is used at the circumference of the air domain ? A symmetric boundary condition is applied to the symmetry axis rVJJJAAjAl o o peee????????????20)(1?????????????eAAB?????r02?Skin depth: Calculating the Inductance ? The inductance can be calculated in two ways, using: – the applied voltage and the total current – the magic energy ? Corresponding methods can be employed to pute the resistance 22)I m (IWLIVLmwl o o pe???Results ? At