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Star-connected variable inductors with variable series resistors
This component models three variable inductors with variable resistors connected in series. The three phases are connected in a star-configuration. The star-point is accessible so that a voltmeter can be connected. However, it may not be loaded, i.e. the sum of all three phase currents must be zero at all times. In the component icon terminal a is marked with a dot.
The component is controlled with three vector signals - each vector having three elements - containing 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 fundamental component equations are:
If all three phases are conducting, there are two independent loop equations (and state variables).
Using the fact that yields
where
If one phase - e.g. a - is open-circuited, only one independent loop equation (and state variable) remains:
Using yields
If two or all three phases are open-circuited, we have