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.
Figure 2. Magnet outer arc parametrized with a geometrical parameter that may be selected as a varying parameter during the scenario. 
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.
