Ground
Reluctance
Permeance
EddyCurrent
SinglePhaseElectroMagneticConverter
MultiPhaseElectroMagneticConverter
Idle
Short
Crossing
Basic fundamental wave components
Basic components of the FundamentalWave library for modeling magnetic circuits. Machine specific components are located at Machines.Components.
Extends from Modelica.Icons.Package (Icon for standard packages).
| Name | Description |
|---|---|
| Ground
|
Magnetic ground |
| Reluctance
|
Salient reluctance |
| Permeance
|
Salient Permeance |
| EddyCurrent
|
Constant loss model under sinusoidal magnetic conditions |
| SinglePhaseElectroMagneticConverter
|
Single phase electro magnetic converter |
| MultiPhaseElectroMagneticConverter
|
Multi phase electro magnetic converter |
| Idle
|
Idle running branch |
| Short
|
Short cut branch |
| Crossing
|
Crossing of two branches |
Modelica.Magnetic.FundamentalWave.Components.GroundMagnetic ground
Grounding of the complex magnetic potential. Each magnetic circuit has to be grounded at least one point of the circuit.
| Name | Description |
|---|---|
| port_p | Complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.ReluctanceSalient reluctance
The salient reluctance models the relationship between the complex magnetic potential difference
and the complex magnetic flux 
,
which can also be expressed in terms complex phasors:
Extends from Modelica.Magnetic.FundamentalWave.Interfaces.PartialTwoPortElementary (Two magnetic ports for textual modeling).
| Name | Description |
|---|---|
| R_m | Magnetic reluctance in d=re and q=im axis |
| Name | Description |
|---|---|
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.PermeanceSalient Permeance
The salient permeance models the relationship between the complex magnetic potential difference
and the complex magnetic flux :
Extends from Modelica.Magnetic.FundamentalWave.Interfaces.PartialTwoPortElementary (Two magnetic ports for textual modeling).
| Name | Description |
|---|---|
| G_m | Magnetic permeance in d=re and q=im axis |
| Name | Description |
|---|---|
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.EddyCurrentConstant loss model under sinusoidal magnetic conditions
The eddy current loss model with respect to fundamental wave effects is designed in accordance to FluxTubes.Basic.EddyCurrent.
|
Due to the nature of eddy current losses, which can be represented by symmetric
conductors in an equivalent electric circuit (Fig. 1), the respective
number of phases 
has to be taken into account.
Assume that the conductances
of the equivalent circuit are 
,
the conductance for the eddy current loss model is determined by
where 
is the number of turns of the symmetric electro magnetic coupling.
For such an phase system
the relationship between the voltage and current space phasors
and the magnetic flux and magnetic potential difference phasor is
,
,
where 
and 
are the phase voltages and currents, respectively.
The dissipated loss power
can be determined for the space phasor relationship of the voltage and current space phasor.
Extends from Modelica.Magnetic.FundamentalWave.Interfaces.PartialTwoPortElementary (Two magnetic ports for textual modeling), Modelica.Thermal.HeatTransfer.Interfaces.PartialElementaryConditionalHeatPort (Partial model to include a conditional HeatPort in order to dissipate losses, used for textual modeling, i.e., for elementary models).
| Name | Description |
|---|---|
| G | Equivalent symmetric loss conductance [S] |
| useHeatPort | =true, if heatPort is enabled |
| T | Fixed device temperature if useHeatPort = false [K] |
| Name | Description |
|---|---|
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
| heatPort | Optional port to which dissipated losses are transported in form of heat |
Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverterSingle phase electro magnetic converter
The single phase winding has an effective number of turns, 
and a respective orientation of the winding, 
. The current in winding is 
.
The total complex magnetic potential difference of the single phase winding is determined by:
In this equation the magneto motive force is aligned with the orientation of the winding.
The voltage 
induced in the winding depends on the cosine between the orientation of the winding and the angle of the complex magnetic flux. Additionally, the magnitudes of the induced voltages are proportional to the respective number of turns. This relationship can be modeled by means of
The single phase electromagnetic converter is a special case of the MultiPhaseElectroMagneticConverter
MultiPhaseElectroMagneticConverter
| Name | Description |
|---|---|
| effectiveTurns | Effective number of turns |
| orientation | Orientation of the resulting fundamental wave V_m phasor [rad] |
| Name | Description |
|---|---|
| pin_p | Positive pin |
| pin_n | Negative pin |
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverterMulti phase electro magnetic converter
Each phase 
of an phase winding has an effective number of turns, 
and an respective winging angle 
and a phase current .
The total complex magnetic potential difference of the multi phase winding is determined by:
In this equation each contribution of a winding magneto motive force on the total complex magnetic potential difference is aligned with the respective orientation of the winding.
The voltages induced in each winding depend on the cosines between the orientation of the winding and the angle of the complex magnetic flux. Additionally, the magnitudes of the induced voltages are proportional to the respective number of turns. This relationship can be modeled by means of
for 
and is also illustrated by the following figure:
|
SinglePhaseElectroMagneticConverter
| Name | Description |
|---|---|
| m | Number of phases |
| effectiveTurns[m] | Effective number of turns |
| orientation[m] | Orientation of the resulting fundamental wave field phasor [rad] |
| Name | Description |
|---|---|
| plug_p | Positive plug |
| plug_n | Negative plug |
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.IdleIdle running branch
This is a simple idle running branch.
Extends from Modelica.Magnetic.FundamentalWave.Interfaces.PartialTwoPortElementary (Two magnetic ports for textual modeling).
| Name | Description |
|---|---|
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.ShortShort cut branch
This is a simple short cut branch.
Extends from Modelica.Magnetic.FundamentalWave.Interfaces.PartialTwoPort (Two magnetic ports for graphical modeling).
| Name | Description |
|---|---|
| port_p | Positive complex magnetic port |
| port_n | Negative complex magnetic port |
Modelica.Magnetic.FundamentalWave.Components.CrossingCrossing of two branches
This is a simple crossing of two branches. The ports port_p1 and port_p2 are connected, as well as port_n1 and port_n2.
| Name | Description |
|---|---|
| port_p1 | Positive port_p1 connected with port_p2 |
| port_p2 | Positive port_p2 connected with port_p1 |
| port_n1 | Negative port_n1 connected with port_n2 |
| port_n2 | Negative port_n2 connected with port_n1 |
