# Center-Tapped Transformer

**Libraries:**

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.*L*_{1}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.*L*_{2}is the value of the**Secondary leakage inductance**parameter.*Rw*_{2}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.

$${L}_{eddy}=\frac{{n}^{2}}{{R}_{m}}$$ is the conductance of the eddy current loop.

$${R}_{2}=\frac{{(1-T)}^{2}+{T}^{2}}{{L}_{2}}$$ is the secondary winding leakage reluctance.

$${R}_{w2p}={R}_{w2}(1-T)$$ is the secondary top winding resistance.

$${R}_{w2n}={R}_{w2}T$$ is the secondary bottom winding resistance.

## Ports

### Conserving

## Parameters

## Extended Capabilities

## Version History

**Introduced in R2023b**