Package Modelica.​Magnetic.​QuasiStatic.​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 connections
EddyCurrentConstant loss model under sinusoidal magnetic conditions
GroundMagnetic ground
IdleIdle running branch
MultiPhaseElectroMagneticConverterMulti phase electro magnetic converter
PermeanceSalient Permeance
QuasiStaticAnalogElectroMagneticConverterElectro magnetic converter to only (!) quasi static analog, neglecting induced voltage
ReluctanceSalient reluctance
ShortShort connection

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

Information

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.​QuasiStatic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Elementary partial two port for textual programming).

Parameters

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

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative quasi-static magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​QuasiStatic.​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 :

reluctance.png

Extends from Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Elementary partial two port for textual programming).

Parameters

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

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative quasi-static magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​QuasiStatic.​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 and FundamentalWave.Components.EddyCurrent.

  .

Fig. 1: equivalent models of eddy current losses

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.

See also

FluxTubes.Basic.EddyCurrent

Extends from Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Elementary partial two port for textual programming) 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 quasi-static magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative quasi-static magnetic port of fundamental wave machines
HeatPort_aheatPortOptional port to which dissipated losses are transported in form of heat

Model Modelica.​Magnetic.​QuasiStatic.​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 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

  .

See also

Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter, Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter, QuasiStaticAnalogElectroMagneticConverter

Parameters

TypeNameDefaultDescription
Integerm3Number of phases
RealeffectiveTurns Effective number of turns
final ComplexNeffectiveTurns * Modelica.ComplexMath.exp(Complex(0, orientation))Complex effective number of turns

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Components.​QuasiStaticAnalogElectroMagneticConverter
Electro magnetic converter to only (!) quasi static analog, neglecting induced voltage

Information

The analog single phase winding has an effective number of turns, and a respective orientation of the winding, . 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 identical to zero.

See also

Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter, Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter, MultiPhaseElectroMagneticConverter

Parameters

TypeNameDefaultDescription
RealeffectiveTurns Effective number of turns

Connectors

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

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

Information

This is a simple idle running branch.

See also

Short Crossing, Magnetic.FundamentalWave.Components.Idle, Magnetic.FundamentalWave.Components.Short, Magnetic.FundamentalWave.Components.Crossing

Extends from Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Interfaces.​PartialTwoPortElementary (Elementary partial two port for textual programming).

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative quasi-static magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Components.​Short
Short connection

Information

This is a simple short cut branch.

See also

Idle Crossing, Magnetic.FundamentalWave.Components.Idle, Magnetic.FundamentalWave.Components.Short, Magnetic.FundamentalWave.Components.Crossing

Extends from Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Interfaces.​PartialTwoPort (Partial two port for graphical programming).

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port of fundamental wave machines
NegativeMagneticPortport_nNegative quasi-static magnetic port of fundamental wave machines

Model Modelica.​Magnetic.​QuasiStatic.​FundamentalWave.​Components.​Crossing
Crossing of connections

Information

This is a simple short cut branch.

See also

Idle Short Magnetic.FundamentalWave.Components.Idle, Magnetic.FundamentalWave.Components.Short, Magnetic.FundamentalWave.Components.Crossing

Connectors

TypeNameDescription
PositiveMagneticPortport_p1Connected with port_p2
NegativeMagneticPortport_n1Connected with port_n2
PositiveMagneticPortport_p2Connected with port_p1
NegativeMagneticPortport_n2Connected with port_n1