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
Ground	Magnetic ground
Reluctance	Salient reluctance
Permeance	Salient Permeance
EddyCurrent	Constant loss model under sinusoidal magnetic conditions
SinglePhaseElectroMagneticConverter	Single phase electro magnetic converter
MultiPhaseElectroMagneticConverter	Multi phase electro magnetic converter
Idle	Idle running branch
Short	Short cut branch
Crossing	Crossing of two branches

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

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

Parameters

Connectors

Modelica.Magnetic.FundamentalWave.Components.Permeance

Salient Permeance

Information

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

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

Parameters

Connectors

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.

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.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

Connectors

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

Connectors

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

Connectors

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

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

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