Grouping Inductance Matrix Elements
The results of the inductance matrix calculation may be post processed into series/parallel windings using the grouping function. The operations of the grouping function can be one of two cases:
- Grouping all coils in series connection by grouping into 1 branch
- Grouping in a mixed series/parallel combination by setting the number of branches to a value of 2 or more.
Series Grouping
The inductances of the coils can be calculated as follows:
Where Li is the per-turn inductance of the source calculated by the field solver and ni is the number of turns specified in the grouping dialog box. Combining inductors in series, which is the case when the number of branches is set to 1, is done according to:
where
- m is the number of source entries being grouped.
- Lcoili represents the self inductance term for each coil entry to be grouped according to the equation above.
- Mij and Mji are the mutual inductance terms between the sources being grouped. Mij and Mji must generally be considered separately as the matrix may be antisymmetric.
- ni are the number of turns for each coil in the group.
Parallel Branches
If the number branches in the group is set to a value other than 1, the coils are first grouped in series as described above, and then divided into by the number if branches specified.
The grouped inductance is then calculated as follows:
where k is the number of branches set for the group.
The calculation above only relies on the inductance matrix calculated during the field solution and can therefore be manipulated as a post processing calculation.