Authors: Joshua Wallace, Steve Scampoli

Problem Specification

1. Pre-Analysis & Start-Up

2. Geometry

3. Physics Setup

4. Numerical Solution/Results

__Pre-Analysis & Start-Up__

## Governing Equations

Magnetic frequency response is the study of magnetic fields in devices where the magnetic field is a steady-state, sinusoidal magnetic field at a given frequency. Magnetic frequency response is a special case of Maxwell’s equations, which form the basis of electromagnetism. A magnetic frequency response solution includes the calculation of Eddy currents, which are loops of electric current within conductive materials induced by a changing magnetic field.

For sinusoidally varying magnetic fields, the induced Eddy currents will not completely penetrate into the interior of a conductive material. This is referred to as the skin effect, and the Eddy current penetration depth for a conductor can be calculated from the following equation

where * δ* is the penetration depth,

*is the frequency,*

**f***is the magnetic permeability of the material, and*

**μ***is the electrical conductivity of the material.*

**σ**## Start-Up

A few words on the formatting on the following instructions:

Notes that require you to perform an action are colored in blue

General information will be colored in black, but do not require any action

Words that are

**bolded**are labels for items found in ANSYS AIMMost important notes will be colored in red

Now that the the pre-calculations are finished, we are ready to begin the simulation in ANSYS AIM. Open ANSYS AIM by going to **Start** > **All Apps** > **ANSYS 18.2** > **ANSYS AIM 18.2**. Once starting page has opened, select the **Magnetics** template as shown below.