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 | 
|  MultiPhaseElectroMagneticConverter | Multi phase electro magnetic converter | 
|  QuasiStaticAnalogElectroMagneticConverter | Electro magnetic converter to only (!) quasi static analog, neglecting induced voltage | 
|  Idle | Idle running branch | 
|  Short | Short connection | 
|  Crossing | Crossing of connections | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.Ground
Modelica.Magnetic.QuasiStatic.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.QuasiStatic.FundamentalWave.Components.Reluctance
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.ReluctanceSalient reluctance
The salient reluctance models the relationship between the complex magnetic potential difference
 and the complex magnetic flux
 and the complex magnetic flux  ,
,
   
which can also be expressed in terms complex phasors:
   
Extends from Interfaces.PartialTwoPortElementary (Elementary partial two port for textual programming).
| Name | Description | 
|---|---|
| R_m | Magnetic reluctance in d=re and q=im axis | 
| Name | Description | 
|---|---|
| port_p | Positive quasi static magnetic port | 
| port_n | Negative quasi static magnetic port | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.Permeance
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.PermeanceSalient Permeance
The salient permeance models the relationship between the complex magnetic potential difference
 and the complex magnetic flux
 and the complex magnetic flux  :
:
Extends from Interfaces.PartialTwoPortElementary (Elementary partial two port for textual programming).
| Name | Description | 
|---|---|
| G_m | Magnetic permeance in d=re and q=im axis | 
| Name | Description | 
|---|---|
| port_p | Positive quasi static magnetic port | 
| port_n | Negative quasi static magnetic port | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.EddyCurrent
Modelica.Magnetic.QuasiStatic.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 and FundamentalWave.Components.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
 has to be taken into account.
Assume that the  conductances
of the equivalent circuit are
 conductances
of the equivalent circuit are  ,
the conductance for the eddy current loss model is determined by
,
the conductance for the eddy current loss model is determined by
   
where  is the number of turns of the symmetric electro magnetic coupling.
 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
 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 Interfaces.PartialTwoPortElementary (Elementary partial two port for textual programming), 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 quasi static magnetic port | 
| port_n | Negative quasi static magnetic port | 
| heatPort | Optional port to which dissipated losses are transported in form of heat | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.MultiPhaseElectroMagneticConverterMulti phase electro magnetic converter
Each phase  of an
 of an  phase winding has an effective number of turns,
 phase winding has an effective number of turns,  and an respective winging angle
 and an respective winging angle  and a phase current
 and a phase current  .
.
The total complex magnetic potential difference of the multi phase winding is determined by:
   
In this equation
 is the positive symmetrical component of the currents.
is the positive symmetrical component of the currents.
The positive sequence of the voltages
 induced in each winding is directly proportional to the complex magnetic flux and the number of turns. This relationship can be modeled by means of
induced in each winding is directly proportional to the complex magnetic flux and the number of turns. This relationship can be modeled by means of
   .
.
Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter, Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter, QuasiStaticAnalogElectroMagneticConverter
| Name | Description | 
|---|---|
| m | Number of phases | 
| effectiveTurns | Effective number of turns | 
| Name | Description | 
|---|---|
| plug_p | Positive plug | 
| plug_n | Negative plug | 
| port_p | Positive complex magnetic port | 
| port_n | Negative complex magnetic port | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.QuasiStaticAnalogElectroMagneticConverter
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.QuasiStaticAnalogElectroMagneticConverterElectro magnetic converter to only (!) quasi static analog, neglecting induced voltage
The analog single phase winding has an effective number of turns,  and a respective orientation of the winding,
 and a respective orientation of the winding,  . The current in the winding is
. The current in the winding is  .
.
The total complex magnetic potential difference of the single phase winding is determined by:
   
where
 is the reference angle of the electrical and magnetic system, respectively. The induced voltage
is the reference angle of the electrical and magnetic system, respectively. The induced voltage  is identical to zero.
 is identical to zero.
Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter, Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter, MultiPhaseElectroMagneticConverter
| Name | Description | 
|---|---|
| effectiveTurns | Effective number of turns | 
| Name | Description | 
|---|---|
| pin_p | Positive pin | 
| pin_n | Negative pin | 
| port_p | Positive complex magnetic port | 
| port_n | Negative complex magnetic port | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.Idle
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.IdleIdle running branch
This is a simple idle running branch.
Short Crossing, Magnetic.FundamentalWave.Components.Idle, Magnetic.FundamentalWave.Components.Short, Magnetic.FundamentalWave.Components.Crossing
Extends from Interfaces.PartialTwoPortElementary (Elementary partial two port for textual programming).
| Name | Description | 
|---|---|
| port_p | Positive quasi static magnetic port | 
| port_n | Negative quasi static magnetic port | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.Short
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.ShortShort connection
This is a simple short cut branch.
Idle Crossing, Magnetic.FundamentalWave.Components.Idle, Magnetic.FundamentalWave.Components.Short, Magnetic.FundamentalWave.Components.Crossing
Extends from Interfaces.PartialTwoPort (Partial two port for graphical programming).
| Name | Description | 
|---|---|
| port_p | Positive quasi static magnetic port | 
| port_n | Negative quasi static magnetic port | 
 Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.Crossing
Modelica.Magnetic.QuasiStatic.FundamentalWave.Components.CrossingCrossing of connections
This is a simple short cut branch.
Idle Short Magnetic.FundamentalWave.Components.Idle, Magnetic.FundamentalWave.Components.Short, Magnetic.FundamentalWave.Components.Crossing
| Name | Description | 
|---|---|
| port_p1 | Connected with port_p2 | 
| port_n1 | Connected with port_n2 | 
| port_p2 | Connected with port_p1 | 
| port_n2 | Connected with port_n1 |