SimPowerSystems

Mutual Inductance

Implement a magnetic coupling between two or three windings

Library

Elements

Description

The Mutual Inductance block implements a magnetic coupling among three separate windings. Specify the self-resistance and inductance of each winding on the first three entries of the dialog box and the mutual resistance and inductance in the last entry.

The electrical model for this block is given below:

Dialog Box and Parameters

Winding 1 self impedance

The self-resistance and inductance for winding 1, in ohms () and henries (H).

Winding 2 self impedance

The self-resistance and inductance for winding 2, in ohms () and henries (H).

Three windings Mutual Inductance

If selected, implements three coupled windings; otherwise, it implements two coupled windings.

Winding 3 self impedance

The Winding 3 self impedance parameter is not available if the Three windings Mutual Inductance parameter is not selected. The self-resistance and inductance in ohms () and henries (H) for winding 3.

Mutual impedance

The mutual resistance and inductance between windings, in ohms () and henries (H). If the mutual resistance and reactance are set to [0 0], the block implements three separate inductances with no mutual coupling.

Measurements

Select Winding voltages to measure the voltage across the winding terminals.

Select Winding currents to measure the current flowing through the windings.

Select Winding voltages and currents to measure the winding voltages and currents.

Place a Multimeter block in your model to display the selected measurements during the simulation.

In the Available Measurements list box of the Multimeter block, the measurements are identified by a label followed by the block name.

Measurement	Label
Winding voltages	Uw1:, Uw2:, Uw3:
Winding currents	Iw1:, Iw2:, Iw3:

Inputs and Outputs

Winding 1 is connected between input 1 and output 1 of the Mutual Inductance block. Winding 2 is connected between input 2 and output 2 and winding 3, if defined, is connected between input 3 and output 3.

The input ports of the Mutual Inductance block are at the same instantaneous polarity.

Limitations

Because of modeling constraints, the following restrictions apply:

Negative values are allowed for the self- and mutual inductances as long as the self-inductances are different from the mutual inductance.

Windings can be left floating (not connected by an impedance to the rest of the circuit). However an internal resistor between the floating winding and the main circuit is automatically added. This internal connection does not affect voltage and current measurements.

Example

The power_mutual demo uses three coupled windings to inject a third harmonic voltage into a circuit fed at 60 Hz.

Simulation produces the following load voltage waveform:

See Also

Linear Transformer, Saturable Transformer, Three-Phase Mutual Inductance Z1-Z0

Multimeter

Neutral