Variable Inductors in Delta Connection
Purpose
Delta-connected variable inductors with variable series resistors and variable series emf
Description
This component models three variable inductors with variable resistors and variable voltage sources connected in series. The three phases are connected in a delta-configuration. In the component icon terminal a is marked with a dot.
The component is controlled with four vector signals - each vector having three elements in the order ab, bc, ca - containing the emf, the momentary resistance values, the momentary inductance values, and their derivatives with respect to time. It is the responsibility of the user to provide the correct derivatives.
The currents measured in the three phases (,
, and
) are provided as
an output vector signal.
Note
- This component is based on voltage controlled current sources. It may therefore 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
As long as current can flow freely in and out of all terminals the three phases are operating independently.
Mode 2 Operation
If one terminal - e.g. a - is open-circuited, we have
Mode 3 Operation
If two or all three terminals are open-circuited, we have
Parameters
- Initial currents [iab0 ibc0 ica0
- ] The initial currents in phases ab, bc, and ca at simulation start, in amperes (A).
Probe Signals
- Phase voltages
- The three phase voltages
,
, and
.
- Phase currents
- The three phase currents
,
, and
.