Center-Tapped Transformer

Single-phase center-tapped transformer

Since R2023b

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Simscape / Electrical / Passive / Transformers

Description

The Center-Tapped Transformer block implements a center-tapped transformer. In switch-mode power supplies applications, you often use a center-tapped transformer inside a full-wave rectifier, which needs the entire DC output from the AC input.

The two electrical networks that connect to the primary and secondary windings of the Center-Tapped Transformer block must each have their own Electrical Reference block. Normally, you also connect the center tap of the secondary winding to an Electrical Reference block.

Equations

This figure shows the equivalent circuit of the Center-Tapped Transformer block when you set the Modeling option parameter to Ideal:

This figure shows the equivalent circuit of the Center-Tapped Transformer block when you set the Modeling option parameter to Non-Ideal:

You must determine the relation between the electrical domain parameters from the block mask and the magnetic domain parameters used in the equivalent circuit model:

n is the value of the Winding ratio parameter.
L₁ is the value of the Primary leakage inductance parameter.
R_m is the value of the Magnetization resistance parameter.
L_m is the value of the Magnetization inductance parameter.
T is the value of the Center tap position (0~1) parameter.
L₂ is the value of the Secondary leakage inductance parameter.
Rw₂ is the value of the Secondary winding resistance parameter.
$R_{1} = \frac{n^{2}}{L_{1}}$ is the primary winding leakage reluctance.
$R = \frac{n^{2}}{L_{m}}$ is the shunt magnetizing resistance.
$L_{e d d y} = \frac{n^{2}}{R_{m}}$ is the conductance of the eddy current loop.
$R_{2} = \frac{{(1 - T)}^{2} + T^{2}}{L_{2}}$ is the secondary winding leakage reluctance.
$R_{w 2 p} = R_{w 2} (1 - T)$ is the secondary top winding resistance.
$R_{w 2 n} = R_{w 2} T$ is the secondary bottom winding resistance.

Ports

Conserving

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1+ — Positive polarity of primary winding
electrical

Electrical conserving port associated with the positive polarity of the primary winding.

1- — Negative polarity of primary winding
electrical

Electrical conserving port associated with the negative polarity of the primary winding.

2+ — Positive polarity of secondary winding
electrical

Electrical conserving port associated with the positive polarity of the secondary winding.

2- — Negative polarity of secondary winding
electrical

Electrical conserving port associated with the negative polarity of the secondary winding.

c — Center tap of secondary winding
electrical

Electrical conserving port associated with the center tap of the secondary winding.

Parameters

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Modeling option — Option to model ideal or non-ideal center-tapped transformer
`Ideal` (default) | `Non-Ideal`

Option to model an ideal or non-ideal center-tapped transformer. If you set this parameter to Non-Ideal, the block also models the winding, fundamental reluctance, and eddy current.

Winding ratio — Winding ratio of transformer
`1` (default) | positive scalar

Winding ratio of the transformer, which is equal to the ratio of the number of primary coil turns to the number of secondary coil turns.

Center tap position (0~1) — Location of center tap on secondary winding
`0.5` (default) | scalar in the range (0, 1)

Location of the center tap on the secondary winding.