Mutual Inductor

Model two coupled inductors for circuit envelope analysis

  • Library:
  • RF Blockset / Circuit Envelope / Elements

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)+jiQk(t))ej(2πfk)tv(t)={fk}(vIk(t)+jvQk(t))ej(2πfk)t

Parameters

expand all

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.

Introduced in R2012a