Modelica.Magnetic.FundamentalWave.Components

Information

Basic components of the FundamentalWave library for modeling magnetic circuits. Machine specific components are located at Machines.Components.

Package Content

Name	Description
Ground	Magnetic ground
Reluctance	Salient reluctance
EddyCurrent	Constant loss model under sinusoidal magnetic conditions
SinglePhaseElectroMagneticConverter	Single phase electro magnetic converter
MultiPhaseElectroMagneticConverter	Multi phase electro magnetic converter
Idle	Salient reluctance
Short	Salient reluctance

Modelica.Magnetic.FundamentalWave.Components.Ground

Information

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

Connectors

Name	Description
port_p	Complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.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:

Parameters

Name	Description
R_m	Magnetic reluctance in d=re and q=im axis

Connectors

Name	Description
port_p	Positive complex magnetic port
port_n	Negative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.EddyCurrent

Information

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

Parameters

Name	Description
G	Equivalent symmetric loss conductance [S]
useHeatPort	=true, if heatPort is enabled
T	Fixed device temperature if useHeatPort = false [K]

Connectors

Name	Description
port_p	Positive complex magnetic port
port_n	Negative complex magnetic port
heatPort	Optional port to which dissipated losses are transported in form of heat

Modelica.Magnetic.FundamentalWave.Components.SinglePhaseElectroMagneticConverter

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

Name	Description
effectiveTurns	Effective number of turns
orientation	Orientation of the resulting fundamental wave V_m phasor [rad]

Connectors

Name	Description
pin_p	Positive pin
pin_n	Negative pin
port_p	Positive complex magnetic port
port_n	Negative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.MultiPhaseElectroMagneticConverter

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

Name	Description
m	Number of phases
effectiveTurns[m]	Effective number of turns
orientation[m]	Orientation of the resulting fundamental wave field phasor [rad]

Connectors

Name	Description
plug_p	Positive plug
plug_n	Negative plug
port_p	Positive complex magnetic port
port_n	Negative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.Idle

Information

This is a simple idle running branch.

See also

Short

Connectors

Name	Description
port_p	Positive complex magnetic port
port_n	Negative complex magnetic port

Modelica.Magnetic.FundamentalWave.Components.Short

Information

This is a simple short cut branch.

See also

Idle

Connectors

Name	Description
port_p	Positive complex magnetic port
port_n	Negative complex magnetic port