Mutual Inductor

Mutual inductor in electrical systems

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Libraries:
Simscape / Foundation Library / Electrical / Electrical Elements

Description

The Mutual Inductor block models a mutual inductor, described with the following equations:

$V 1 = L 1 \frac{d I 1}{d t} + M \frac{d I 2}{d t}$

$V 2 = L 2 \frac{d I 2}{d t} + M \frac{d I 1}{d t}$

$M = k \sqrt{L 1 \cdot L 2}$

where:

V1 is the voltage across the primary winding.
V2 is the voltage across the secondary winding.
I1 is the current flowing into the + terminal of the primary winding.
I2 is the current flowing out of the + terminal of the secondary winding.
L1, L2 are the winding self-inductances.
M is the mutual inductance.
k is the coefficient of coupling, 0 < k < 1.
t is time.

Use this block to represent an AC transformer. If inductance and mutual inductance terms are not important in a model, or are unknown, you can use the Ideal Transformer block instead.

The two electrical networks connected to the primary and secondary windings must each have their own Electrical Reference block.

Variables

To set the priority and initial target values for the block variables prior to simulation, use the Initial Targets section in the block dialog box or Property Inspector. For more information, see Set Priority and Initial Target for Block Variables.

Nominal values provide a way to specify the expected magnitude of a variable in a model. Using system scaling based on nominal values increases the simulation robustness. Nominal values can come from different sources, one of which is the Nominal Values section in the block dialog box or Property Inspector. For more information, see Modify Nominal Values for a Block Variable.

Ports

Conserving

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1+ — Primary winding positive terminal
electrical

Electrical conserving port associated with the positive terminal of the primary winding.

1- — Primary winding negative terminal
electrical

Electrical conserving port associated with the negative terminal of the primary winding.

2+ — Secondary winding positive terminal
electrical

Electrical conserving port associated with the positive terminal of the secondary winding.

2- — Secondary winding negative terminal
electrical

Electrical conserving port associated with the negative terminal of the secondary winding.

Parameters

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Inductance L1 — Self-inductance of primary winding
`10 H` (default) | positive scalar

Self-inductance of the primary winding.

Inductance L2 — Self-inductance of secondary winding
`0.1 H` (default) | positive scalar

Self-inductance of the secondary winding.

Coefficient of coupling — Coefficient of coupling for mutual inductance
`0.9` (default) | scalar in the range (0,1)

Coefficient of coupling, which defines the mutual inductance. The parameter value should be greater than zero and less than 1.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2007a

Mutual Inductor

Description

Variables

Ports

Conserving

1+ — Primary winding positive terminal electrical

1- — Primary winding negative terminal electrical

2+ — Secondary winding positive terminal electrical

2- — Secondary winding negative terminal electrical