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 Content

NameDescription
Modelica.Magnetic.FundamentalWave.Components.Ground Ground Magnetic ground
Modelica.Magnetic.FundamentalWave.Components.Reluctance Reluctance Salient reluctance
Modelica.Magnetic.FundamentalWave.Components.EddyCurrent EddyCurrent Constant loss model under sinusoidal magnetic conditions
Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter SinglePhaseElectroMagneticConverter Single phase electro magnetic converter
Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter MultiPhaseElectroMagneticConverter Multi phase electro magnetic converter
Modelica.Magnetic.FundamentalWave.Components.Idle Idle Salient reluctance
Modelica.Magnetic.FundamentalWave.Components.Short Short Salient reluctance

Modelica.Magnetic.FundamentalWave.Components.Ground 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

NameDescription
port_pComplex magnetic port

Modelica.Magnetic.FundamentalWave.Components.Reluctance 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

NameDescription
R_mMagnetic reluctance in d=re and q=im axis

Connectors

NameDescription
port_pPositive complex magnetic port
port_nNegative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.EddyCurrent 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), 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

NameDescription
GEquivalent symmetric loss conductance [S]
useHeatPort=true, if heatPort is enabled
TFixed device temperature if useHeatPort = false [K]

Connectors

NameDescription
port_pPositive complex magnetic port
port_nNegative complex magnetic port
heatPortOptional port to which dissipated losses are transported in form of heat

Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter 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 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

See also

MultiPhaseElectroMagneticConverter

Parameters

NameDescription
effectiveTurnsEffective number of turns
orientationOrientation of the resulting fundamental wave V_m phasor [rad]

Connectors

NameDescription
pin_pPositive pin
pin_nNegative pin
port_pPositive complex magnetic port
port_nNegative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter 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 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:

Fig: Orientation of winding and location of complex magnetic flux

See also

SinglePhaseElectroMagneticConverter

Parameters

NameDescription
mNumber of phases
effectiveTurns[m]Effective number of turns
orientation[m]Orientation of the resulting fundamental wave field phasor [rad]

Connectors

NameDescription
plug_pPositive plug
plug_nNegative plug
port_pPositive complex magnetic port
port_nNegative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.Idle Modelica.Magnetic.FundamentalWave.Components.Idle

Salient reluctance

Information


This is a simple idle running branch.

See also

Short

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

Connectors

NameDescription
port_pPositive complex magnetic port
port_nNegative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.Short Modelica.Magnetic.FundamentalWave.Components.Short

Salient reluctance

Information


This is a simple short cut branch.

See also

Idle

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

Connectors

NameDescription
port_pPositive complex magnetic port
port_nNegative complex magnetic port

Automatically generated Mon Sep 23 17:20:39 2013.