Mutual Inductor

Model two coupled inductors for circuit envelope analysis

Libraries:
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

$\begin{matrix} v_{1} (t) = L_{1} \frac{d}{d t} [i_{1} (t)] + M \frac{d}{d t} [i_{2} (t)] \\ v_{2} (t) = M \frac{d}{d t} [i_{1} (t)] + L_{2} \frac{d}{d t} [i_{2} (t)] \\ M = K \sqrt{L_{1} L_{2}} \end{matrix}$

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 (I_k) and quadrature (Q_k) components at each frequency f_k specified in the Configuration block:

$\begin{matrix} i (t) = \sum_{{f_{k}}} (i_{I_{k}} (t) + j \cdot i_{Q_{k}} (t)) e^{j (2 π f_{k}) t} \\ v (t) = \sum_{{f_{k}}} (v_{I_{k}} (t) + j \cdot v_{Q_{k}} (t)) e^{j (2 π f_{k}) t} \end{matrix}$

Parameters

expand all

Inductance L1 — Inductance of first inductor
`1e-6 H` (default) | positive scalar

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

Inductance L2 — Inductance of second inductor
`1e-6 H` (default) | positive scalar

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

Coefficient of coupling — Coefficient of coupling for mutual inductance
`0.9` (default) | scalar

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

Version History

Introduced in R2012a

Mutual Inductor

Description

Parameters

Inductance L1 — Inductance of first inductor 1e-6 H (default) | positive scalar

Inductance L2 — Inductance of second inductor 1e-6 H (default) | positive scalar

Coefficient of coupling — Coefficient of coupling for mutual inductance 0.9 (default) | scalar

Version History

See Also

Inductance L1 — Inductance of first inductor
`1e-6 H` (default) | positive scalar

Inductance L2 — Inductance of second inductor
`1e-6 H` (default) | positive scalar

Coefficient of coupling — Coefficient of coupling for mutual inductance
`0.9` (default) | scalar