# Application Pages

### Loudspeaker Optimization: Minimal Mass with 1.8 T Flux Densitys

The loudspeaker model shown here is made of two iron pieces and a permanent magnet. The permanent magnet drives the flux through the iron and the air gap. The goal of the optimization is to find a loudspeaker designer that has the minimal mass necessary to produce a flux density of 1.8 Tesla in the air gap.

Link to example### 3D analysis of induction melting furnaces with a cold crucible

The furnace crucible is made of water cooled copper. The use of water cooled crucible, instead of the traditional ceramic one, sharply reduces contamination of the molting load. The furnaces with the cold crucible is now broadly used for melting super-pure metals and alloys. (This was originally presented at Engage 2015).

Link to example### 3-D Static Force Benchmark (T.E.A.M. Problem 20)

This rig is made from a steel center pole and yoke. The center pole is surrounded by a copper coil excited by a DC current. This problem shows the ability of MagNet for SOLIDWORKS to solve Static Magnetic Problem involving force and magnetic field calculations.

Link to example### 3-phase Transformer

The model presented here is the simulated results of the ohmic losses and flux density of a 3 phase transformer with a three limbed paramagnetic core. The symmetry in the z-axis has been used to minimize the problem size and accelerate solution time. The coils are made of three concentric layers of different thickness.

Link to example### AC analysis of an Induction Machine

MotorSolve IM AC analysis type takes into account regions of linear and nonlinear behaviour of the lumped parameters and automatically adapts to such variations with extra sample points in such regions of the parameter space. Variations of the lumped parameters at various slips are also taken into account. Some calculations for a 17 bar - 24 slot squirrel cage induction machine are presented.

Link to example### AC Synchronous Reluctance Machine for Traction Application

In this example, a 55 KW traction motor is designed using a stator that was originally designed for a squirrel cage induction motor for a similar output rating and application. The design of the new machine uses the stator of the induction machine and only the rotor geometrical parameters and configurations are used as free design parameters to achieve the target performance criterion.

Link to example### Accurately modeling the skewed rotor of an Induction Motor

The induction motor analysed here is a typical three-phase motor. The rotor is skewed; this is easily created and accurately modeled. The stator windings in this model are realistic involute shapes, created with the multi-segment sweep option; accurately modeled coils means that end effects can be studied. The periodic boundary condition allows the modeler to take advantage of symmetries; in this case, only a 60-degree section is modeled, reducing the problem size by a factor of 6.

Link to example### Actuator with Diode

This actuator example demonstrates the power of a fully integrated MagNet’ Transient 3D with motion solver which simultaneously solves the circuit equations, the field equations on the finite element mesh, and the equations of motion. All three sets of equations include some sort of non-linearity. For the circuit the non-linear element is the diode. The finite element solver must deal with non-linear magnetic materials, and the motion solver handles the instantaneous reversal of velocity, which occurs when the plunger bounces off a bumper.

Link to example