Variable 2-Winding Mutual Inductance
Purpose
Variable magnetic coupling between two windings
Description
This component models two coupled windings with variable self and mutual inductivities and variable winding resistances. In the component icon the positive terminal of phase 1 is marked with a dot.
The component is controlled with three vector signals: the momentary resistance
values , the momentary self and mutual inductance values
, and
their derivative with respect to time
. It is the responsibility of the user
to provide the correct derivatives. Depending on the connectivity, certain
values of
,
, and
create a singularity. This will lead to a runtime
error.
Note
- This component is based on voltage controlled current sources. While the two windings may be connected in series with each other, they may not be connected in series with other current sources or inductors.
- The control signal for the momentary inductance values must be continuous. Discontinuous changes will produce non-physical results.
The fundamental component equations are
Mode 1 Operation
If the two winding currents are electrically independent, the two equations have to be solved simultaneously for the current derivatives:
Mode 2 Operation
If the two winding currents are electrically dependent, we have
or
Mode 3 Operation
If one winding - e.g. winding 1 - is open-circuited, we have
Mode 4 Operation
If both windings are open-circuited, we have
Parameters
- Initial currents
- The initial currents at simulation start, in amperes (A). The direction of a positive initial current is indicated with a small arrow in the component symbol.
Probe Signals
- Inductor voltages
- The voltages across the windings.
- Inductor currents
- The currents in the windings.