Mutual Inductor

Model two coupled inductors for circuit envelope analysis

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  • Library:

  • RF Blockset / Circuit Envelope / Elements

  • Mutual Inductor block

Description

The Mutual Inductor block models an inductor within the RF Blockset™ circuit envelope simulation environment. For an introduction to RF simulation, see the example, Simulate High Frequency Components.

The block implements the relations

v1(t)=L1ddt[i1(t)]+Mddt[i2(t)]v2(t)=Mddt[i1(t)]+L2ddt[i2(t)]M=KL1L2

where:

  • L1 and L2 represent inductances.

  • M represents a mutual inductance with coefficient of coupling K.

  • v1(t) and v2(t) represent the voltage across the terminals of the inductors at time t.

  • i1(t) and i2(t) represent the current through the inductors at time t. The block uses standard dot notation to indicate the direction of positive current flow relative to a positive voltage.

RF Blockset current and voltage signals consist of in-phase (Ik) and quadrature (Qk) components at each frequency fk specified in the Configuration block:

i(t)=∑{fk}(iIk(t)+j⋅iQk(t))ej(2πfk)tv(t)=∑{fk}(vIk(t)+j⋅vQk(t))ej(2πfk)t

Parameters

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Inductance of the first inductor, specified as a positive scalar in H, nH, μH, mH.

Inductance of the second inductor, specified as a positive scalar in H, nH, μH, mH.

Coefficient of coupling for the mutual inductance of the two inductors, specified as a scalar value from 0 through 1.

See Also

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Introduced in R2012a

RF Blockset Documentation

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