WOLFRAM SYSTEM MODELER

# IdealTransformer

Ideal transformer core with or without magnetization

# Wolfram Language

In[1]:=
`SystemModel["Modelica.Electrical.Analog.Ideal.IdealTransformer"]`
Out[1]:=

# Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

The ideal transformer is a two-port circuit element; in case of Boolean parameter `considerMagnetization = false` it is characterized by the following equations:

```i2 = -i1*n;
v2 =  v1/n;
```

where `n` is a real number called the turns ratio. Due to this equations, also DC voltages and currents are transformed - which is not the case for technical transformers.

In case of Boolean parameter `considerMagnetization = true` it is characterized by the following equations:

```im1  = i1 + i2/n "Magnetizing current w.r.t. primary side";
psim1= Lm1*im1   "Magnetic flux w.r.t. primary side";
v1 = der(psim1)  "Primary voltage";
v2 = v1/n        "Secondary voltage";
```

where `Lm` denotes the magnetizing inductance. Due to this equations, the DC offset of secondary voltages and currents decrement according to the time constant defined by the connected circuit.

Taking primary `L1sigma` and secondary `L2ssigma` leakage inductances into account, compared with the basic transformer the following parameter conversion can be applied (which leads to identical results):

```L1 = L1sigma + M*n "Primary inductance at secondary no-load";
L2 = L2sigma + M/n "Secondary inductance at primary no-load";
M  = Lm1/n         "Mutual inductance";
```

For the backward conversion, one has to decide about the partitioning of the leakage to primary and secondary side.

# Parameters (3)

n Value: Type: Real Description: Turns ratio primary:secondary voltage Value: false Type: Boolean Description: Choice of considering magnetization Value: Type: Inductance (H) Description: Magnetization inductance w.r.t. primary side

# Connectors (4)

p1 Type: PositivePin Description: Positive electrical pin of port 1 Type: NegativePin Description: Negative electrical pin of port 1 Type: PositivePin Description: Positive electrical pin of port 2 Type: NegativePin Description: Negative electrical pin of port 2

# Used in Examples (1)

 CompareTransformers Modelica.Electrical.Analog.Examples Transformer circuit to show the magnetization facilities

# Used in Components (1)

 IdealTransformer Modelica.Electrical.Polyphase.Ideal Polyphase ideal transformer

# Revisions

• June 3, 2009 magnetisation current added by Anton Haumer
• 1998 initially implemented by Christoph Clauss