WOLFRAM SYSTEM MODELER

# ElectroMagneticConverter

Electromagnetic energy conversion

# Wolfram Language

In[1]:=
`SystemModel["Modelica.Magnetic.QuasiStatic.FluxTubes.Basic.ElectroMagneticConverter"]`
Out[1]:=

# Information

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

The electromagnetic energy conversion is given by Ampere's law and Faraday's law respectively:

```    Vm = N * i
N * dΦ/dt = -v
```

Vm is the magnetic potential difference applied to the magnetic circuit due to the current i through the coil (Ampere's law). There exists a left-hand assignment between the current i (fingers) and the magnetic potential difference Vm (thumb).
Note: There exists a right-hand assignment between the current through the coil i (fingers) and the magnetomotive force mmf. The mmf has the opposite direction compared with Vm. It is not used in Modelica.

For the complete magnetic circuit the sum of all magnetic potential differences counted with the correct sign in a reference direction is equal to zero: sum(Vm) = 0.
The magnetic flux Φ in each passive component is related to the magnetic potential difference Vm by the equivalent of Ohms' law: Vm = Rm * Φ
Note: The magnetic resistance Rm depends on geometry and material properties. For ferromagnetic materials Rm is not constant due to saturation.

Therefore the sign (actual direction) of Φ (magnetic flux through the converter) depends on the associated branch of the magnetic circuit.
v is the induced voltage in the coil due to the derivative of magnetic flux Φ (Faraday's law).
Note: The negative sign of the induced voltage v is due to Lenz's law.

Note: The image shows a right-handed coil. If a left-handed coil has to be modeled instead of a right-handed coil, the parameter N (Number of turns) can be set to a negative value.

The flux linkage Ψ and the static inductance L_stat = |Ψ/i| are calculated for information only. Note that L_stat is set to |Ψ/eps| if |i| < eps (= 100*Modelica.Constants.eps).

# Parameters (1)

N Value: 1 Type: Real Description: Number of turns

# Connectors (4)

port_p Type: PositiveMagneticPort Description: Positive magnetic port Type: NegativeMagneticPort Description: Negative magnetic port Type: PositivePin Description: Positive electric pin Type: NegativePin Description: Negative electric pin

# Components (6)

j Type: Complex Description: Complex number with overloaded operators Type: ComplexVoltage Description: Voltage Type: ComplexCurrent Description: Current Description: Magnetic potential difference Type: ComplexMagneticFlux Description: Magnetic flux coupled into magnetic circuit Type: ComplexMagneticFlux Description: Flux linkage for information only

# Used in Examples (5)

 LinearInductor Modelica.Magnetic.QuasiStatic.FluxTubes.Examples Linear inductor with ferromagnetic core NonLinearInductor Modelica.Magnetic.QuasiStatic.FluxTubes.Examples Non linear inductor with ferromagnetic core QuadraticCoreAirgap Modelica.Magnetic.QuasiStatic.FluxTubes.Examples.BasicExamples Educational example: iron core with airgap ToroidalCoreAirgap Modelica.Magnetic.QuasiStatic.FluxTubes.Examples.BasicExamples Educational example: iron core with airgap ToroidalCoreQuadraticCrossSection Modelica.Magnetic.QuasiStatic.FluxTubes.Examples.BasicExamples Educational example: iron core with airgap