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Model three coupled inductors for circuit envelope analysis

The Three-Winding Transformer block models three coupled inductors within the SimRF™ circuit envelope simulation environment. For an introduction to RF simulation, see the example, Simulate High Frequency Components.

The block implements the relations

where:

*L*_{1},*L*_{2}, and*L*_{3}represent inductances.*M*represents the mutual inductance between the_{pq}*p*th and*q*th inductors, with coefficient of coupling*K*._{pq}*v*_{1}(*t*),*v*_{2}(*t*), and*v*_{3}(*t*) represent the voltage across the terminals of the inductors at time*t*.*i*_{1}(*t*),*i*_{2}(*t*), and*i*_{3}(*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.

SimRF current and voltage signals consist of in-phase (*I _{k}*)
and quadrature (

**Inductance L1**Specify the inductance of the first inductor,

*L*_{1}, as a scalar value greater than or equal to`0`. Specify the units of the inductance from the corresponding drop-down list. The default value of this parameter is`1e-6``H`.**Inductance L2**Specify the inductance of the second inductor,

*L*_{2}, as a scalar value greater than or equal to`0`. Specify the units of the inductance from the corresponding drop-down list. The default value of this parameter is`1e-6``H`.**Inductance L3**Specify the inductance of the third inductor,

*L*_{3}, as a scalar value greater than or equal to`0`. Specify the units of the inductance from the corresponding drop-down list. The default value of this parameter is`1e-6``H`.**Coefficient of coupling K12**Specify the coefficient of coupling for the mutual inductance of the first and second inductors,

*K*_{12}, as a scalar value between`0`and`1`, inclusive. The default value of this parameter is`0.9`.**Coefficient of coupling K13**Specify the coefficient of coupling for the mutual inductance of the first and third inductors,

*K*_{13}, as a scalar value between`0`and`1`, inclusive. The default value of this parameter is`0.9`.**Coefficient of coupling K23**Specify the coefficient of coupling for the mutual inductance of the second and third inductors,

*K*_{23}, as a scalar value between`0`and`1`, inclusive. The default value of this parameter is`0.9`.

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