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

Name Description
Modelica.Magnetic.FundamentalWave.Components.Ground Ground Magnetic ground
Modelica.Magnetic.FundamentalWave.Components.Reluctance Reluctance Salient reluctance
Modelica.Magnetic.FundamentalWave.Components.Permeance Permeance Salient Permeance
Modelica.Magnetic.FundamentalWave.Components.EddyCurrent EddyCurrent Constant loss model under sinusoidal magnetic conditions
Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter SinglePhaseElectroMagneticConverter Single-phase electromagnetic converter
Modelica.Magnetic.FundamentalWave.Components.PolyphaseElectroMagneticConverter PolyphaseElectroMagneticConverter Polyphase electromagnetic converter
Modelica.Magnetic.FundamentalWave.Components.Idle Idle Idle running branch
Modelica.Magnetic.FundamentalWave.Components.Short Short Short cut branch
Modelica.Magnetic.FundamentalWave.Components.Crossing Crossing Crossing of two branches

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 Magnetic.FundamentalWave.Interfaces.TwoPort (Two magnetic ports for textual modeling).

Parameters

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

Connectors

NameDescription
port_pPositive magnetic port of fundamental wave machines
port_nNegative magnetic port of fundamental wave machines

Modelica.Magnetic.FundamentalWave.Components.Permeance 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 Magnetic.FundamentalWave.Interfaces.TwoPort (Two magnetic ports for textual modeling).

Parameters

NameDescription
G_mMagnetic permeance in d=re and q=im axis

Connectors

NameDescription
port_pPositive magnetic port of fundamental wave machines
port_nNegative magnetic port of fundamental wave machines

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 electromagnetic 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 Magnetic.FundamentalWave.Interfaces.TwoPort (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 magnetic port of fundamental wave machines
port_nNegative magnetic port of fundamental wave machines
heatPortOptional port to which dissipated losses are transported in form of heat

Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter

Single-phase electromagnetic 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 PolyphaseElectroMagneticConverter

See also

PolyphaseElectroMagneticConverter

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.PolyphaseElectroMagneticConverter Modelica.Magnetic.FundamentalWave.Components.PolyphaseElectroMagneticConverter

Polyphase electromagnetic 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 polyphase 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

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

Idle running branch

Information

This is a simple idle running branch.

See also

Short, Crossing

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

Connectors

NameDescription
port_pPositive magnetic port of fundamental wave machines
port_nNegative magnetic port of fundamental wave machines

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

Short cut branch

Information

This is a simple short cut branch.

See also

Idle, Crossing

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

Connectors

NameDescription
port_pPositive magnetic port of fundamental wave machines
port_nNegative magnetic port of fundamental wave machines

Modelica.Magnetic.FundamentalWave.Components.Crossing 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

NameDescription
port_p1Positive port_p1 connected with port_p2
port_p2Positive port_p2 connected with port_p1
port_n1Negative port_n1 connected with port_n2
port_n2Negative port_n2 connected with port_n1
Automatically generated Thu Oct 1 16:07:50 2020.