# Kinematic models in Flux

## Introduction

This paragraph deals with the main kinematic models available in Flux: “multi-static” model, “imposed speed” model, “coupled load” model.

These three models are briefly described below and illustrated with examples.

There are also two other kinematic models that are used: imposed position and multiphysics position that are not described in this document.

## Multi-static kinematic model

In the multi-static kinematic model, the moving part of the device is not moving.

The computation of the electromagnetic field is carried out for various arbitrary relative positions of moving and fixed parts. This model performs a set of Magneto Static* computations and does not take into consideration the dynamics equation. This model is equivalent to a parametrized study where the position of the moving part is a varying parameter.

## Imposed speed kinematic model

In the imposed speed kinematic model, the moving part is considered as moving at a constant velocity with respect to the fixed part.

The computation of the electromagnetic field is carried out for the different positions defined by the imposed speed of the moving part. As in the previous kinematic model (multi-static), the dynamics equation is not considered.

In the imposed speed kinematic model, the physical application used is the Transient Magnetic physical application. In this case, the Maxwell's equations consider the time dependence of the electromagnetic field ( ).

## Important notes

The imposed speed model and the multi-static model offer the same results if the sources of the electromagnetic field are constant: constant current sources, permanent magnets, … and that there is no coupling circuit

On the other hand, the results of these two models are different under the following conditions:

- time varying sources: varying current sources (directly in the Flux project or through a circuit coupling), …
- conductive regions, where eddy currents occur, …

## Coupled load kinematic model

In the coupled load kinematic model, the moving part drives an external device that represents the mechanical load of the studied device.

This is the model where the magneto-mechanical coupling is considered, that is to say, both the magnetic aspect and the kinematic aspect of a problem.

The physical application used is the Transient Magnetic application. The principle of the solving operation is described in § Equations / re-meshing techniques

## Multiphysics position kinematic model

The mobile mechanical set can be of type [Multiphysic position]. In this case, the position is imposed by the Input/Output variable called ANGPOS_name_of_mechanical_set (for instance ANGPOS_ROTOR, for a mechanical set in rotation called ROTOR). This variable is created automatically after having created the mechanical set. This functionality is dedicated for the co-simulation between Flux and Activate software for instance. It allows managing the solving of mechanical equation on Activate side, which gives more flexibility in the definition of mechanical equation