# Example of application

To show our interest of the parametric distribution, let us consider a project modeling a three-phase, eight-pole permanent magnet synchronous machine (PMSM) using a Flux 2D Transient Magnetic application. This simulation will be controlled by the angular position of the rotor from 0 to 90 degrees with imposed speed which is a time dependent scenario. During the parametric distribution, Flux will compute the results for all the parameters combination for each time step.

- The speed which is declared as an I/O parameter controlled by the scenario and that is used by the rotating mechanical set
- The shape of the magnet with the magnet outer arc value
*α*set with a geometrical parameter as depicted below.

Both parameters may influence the performance of the electrical machine. A table summarizing all the parameters is available below:

Magnet outer arc α (degrees) | Speed (rpm) | |
---|---|---|

Minimum value | 130 | 1300 |

Maximum value | 170 | 1700 |

Step value | 10 | 100 |

According to the previous table, the number of steps to solve is about 2525 (5×5×101) with five values for the speed, five values for the magnet outer arc over a scenario with 101-time steps.

The results yielded by different types of distribution using a different **Number of
concurrent Flux** set in the **Distribution manager** are plotted in the
figure below while solving the same scenario with 2525 time steps with a different
value of the **Number of concurrent Flux**. The computation time with only 1
concurrent Flux (sequential computing) is considered as the reference and is set to
100% of the solving time.