Mutual inductor in electrical systems

Electrical Elements

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

$$V1=L1\frac{dI1}{dt}+M\frac{dI2}{dt}$$

$$V2=L2\frac{dI2}{dt}+M\frac{dI1}{dt}$$

$$M=k\sqrt{L1\xb7L2}$$

where

`V1` | Voltage across winding 1 |

`V2` | Voltage across winding 2 |

`I1` | Current flowing into the + terminal of winding 1 |

`I2` | Current flowing into the + terminal of winding 2 |

, `L1` `L2` | Winding self-inductances |

`M` | Mutual inductance |

`k` | Coefficient of coupling, 0 < <
1`k` |

`t` | Time |

This block can be used 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.

**Inductance L1**Self-inductance of the first winding. The default value is

`10`

H.**Inductance L2**Self-inductance of the second winding. The default value is

`0.1`

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

`0.9`

.

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

The block has four electrical conserving ports. Polarity is indicated by the + and – signs. Ports labeled +1 and –1 are connected to the primary winding. Ports labeled +2 and –2 are connected to the secondary winding.

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