Package Modelica.​Magnetic.​FundamentalWave.​Components
Basic fundamental wave components

Information

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).

Package Contents

NameDescription
CrossingCrossing of two branches
EddyCurrentConstant loss model under sinusoidal magnetic conditions
GroundMagnetic ground
IdleIdle running branch
MultiPhaseElectroMagneticConverterMulti phase electro magnetic converter
PermeanceSalient Permeance
ReluctanceSalient reluctance
ShortShort cut branch
SinglePhaseElectroMagneticConverterSingle phase electro magnetic converter

Model Modelica.​Magnetic.​FundamentalWave.​Components.​Ground
Magnetic ground

Information

Grounding of the complex magnetic potential. Each magnetic circuit has to be grounded at least one point of the circuit.

Connectors

TypeNameDescription
PositiveMagneticPortport_pComplex magnetic port

Model Modelica.​Magnetic.​FundamentalWave.​Components.​Reluctance
Salient reluctance

Information

The salient reluctance models the relationship between the complex magnetic potential difference V_m.png and the complex magnetic flux ,

reluctance.png

which can also be expressed in terms complex phasors:

reluctance_alt.png

Extends from Modelica.​Magnetic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Two magnetic ports for textual modeling).

Parameters

TypeNameDefaultDescription
SalientReluctanceR_m Magnetic reluctance in d=re and q=im axis

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​FundamentalWave.​Components.​Permeance
Salient Permeance

Information

The salient permeance models the relationship between the complex magnetic potential difference V_m.png and the complex magnetic flux :

permeance.png

Extends from Modelica.​Magnetic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Two magnetic ports for textual modeling).

Parameters

TypeNameDefaultDescription
SalientPermeanceG_m Magnetic permeance in d=re and q=im axis

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​FundamentalWave.​Components.​EddyCurrent
Constant loss model under sinusoidal magnetic conditions

Information

The eddy current loss model with respect to fundamental wave effects is designed in accordance to FluxTubes.Basic.EddyCurrent.

eddycurrent.png
Fig. 1: equivalent models of eddy current losses
eddycurrent_electric.png

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 m has to be taken into account. Assume that the m conductances of the equivalent circuit are G_c, the conductance for the eddy current loss model is determined by

GGc

where N is the number of turns of the symmetric electro magnetic coupling.

For such an m phase system the relationship between the voltage and current space phasors and the magnetic flux and magnetic potential difference phasor is

vPhi,
iV_m,

where v_k and i_k are the phase voltages and currents, respectively.

The dissipated loss power

lossPower

can be determined for the space phasor relationship of the voltage and current space phasor.

See also

FluxTubes.Basic.EddyCurrent

Extends from Modelica.​Magnetic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Two magnetic ports for textual modeling) and 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).

Parameters

TypeNameDefaultDescription
ConductanceG Equivalent symmetric loss conductance
BooleanuseHeatPortfalse=true, if heatPort is enabled
final TemperatureT273.15Fixed device temperature if useHeatPort = false

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative magnetic port of fundamental wave machines
HeatPort_aheatPortOptional port to which dissipated losses are transported in form of heat

Model Modelica.​Magnetic.​FundamentalWave.​Components.​SinglePhaseElectroMagneticConverter
Single phase electro magnetic converter

Information

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 magnetomotive 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

See also

MultiPhaseElectroMagneticConverter

Parameters

TypeNameDefaultDescription
RealeffectiveTurns Effective number of turns
Angleorientation Orientation of the resulting fundamental wave V_m phasor
final ComplexNeffectiveTurns * Modelica.ComplexMath.exp(Complex(0, orientation))Complex number of turns

Connectors

TypeNameDescription
PositivePinpin_pPositive pin
NegativePinpin_nNegative pin
PositiveMagneticPortport_pPositive complex magnetic port
NegativeMagneticPortport_nNegative complex magnetic port

Model Modelica.​Magnetic.​FundamentalWave.​Components.​MultiPhaseElectroMagneticConverter
Multi phase electro magnetic converter

Information

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 magnetomotive 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:

Fig: Orientation of winding and location of complex magnetic flux

See also

SinglePhaseElectroMagneticConverter

Parameters

TypeNameDefaultDescription
Integerm3Number of phases
RealeffectiveTurns[m] Effective number of turns
Angleorientation[m] Orientation of the resulting fundamental wave field phasor

Connectors

TypeNameDescription
PositivePlugplug_pPositive plug
NegativePlugplug_nNegative plug
PositiveMagneticPortport_pPositive complex magnetic port
NegativeMagneticPortport_nNegative complex magnetic port

Model Modelica.​Magnetic.​FundamentalWave.​Components.​Idle
Idle running branch

Information

This is a simple idle running branch.

See also

Short, Crossing

Extends from Modelica.​Magnetic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Two magnetic ports for textual modeling).

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​FundamentalWave.​Components.​Short
Short cut branch

Information

This is a simple short cut branch.

See also

Idle, Crossing

Extends from Modelica.​Magnetic.​FundamentalWave.​Interfaces.​PartialTwoPort (Two magnetic ports for graphical modeling).

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​FundamentalWave.​Components.​Crossing
Crossing of two branches

Information

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.

See also

Idle, Short

Connectors

TypeNameDescription
PositiveMagneticPortport_p1Positive port_p1 connected with port_p2
PositiveMagneticPortport_p2Positive port_p2 connected with port_p1
NegativeMagneticPortport_n1Negative port_n1 connected with port_n2
NegativeMagneticPortport_n2Negative port_n2 connected with port_n1

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