Package Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic
Basic elements of magnetic network models

Information

This package contains the basic components of quasi static flux tubes package.

Extends from Modelica.​Icons.​Package (Icon for standard packages).

Package Contents

NameDescription
ConstantPermeanceConstant permeance
ConstantReluctanceConstant reluctance
CrossingCrossing of two branches
EddyCurrentFor modelling of eddy current in a conductive magnetic flux tube
ElectroMagneticConverterElectro-magnetic energy conversion
GroundZero magnetic potential
IdleIdle running branch
LeakageWithCoefficientLeakage reluctance with respect to the reluctance of a useful flux path (not for dynamic simulation of actuators)
ShortShort cut branch

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​Ground
Zero magnetic potential

Information

The magnetic potential at the magnetic ground node is zero. Every magnetic network model must contain at least one magnetic ground object.

Connectors

TypeNameDescription
PositiveMagneticPortport 

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​ElectroMagneticConverter
Electro-magnetic energy conversion

Information

The electro magnetic energy conversion is given by Ampere's law and Faraday's law respectively:

In this equation is the magnetomotive force that is supplied to the connected magnetic circuit, is the magnetic flux through the associated branch of this magnetic circuit. The negative sign of the induced voltage is due to Lenz's law.

The static inductance is calculated from the flux linkage

and the current :

This quantity is calculated for information only.

Note

is set to

if .

Parameters

TypeNameDefaultDescription
RealN1Number of turns

Connectors

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

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​ConstantReluctance
Constant reluctance

Information

This constant reluctance is provided for test purposes and simple magnetic network models. The reluctance is not calculated from geometry and permeability of a flux tube, but is provided as parameter.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n).

Parameters

TypeNameDefaultDescription
ReluctanceR_m1Magnetic reluctance

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​ConstantPermeance
Constant permeance

Information

This constant permeance is provided for test purposes and simple magnetic network models. The permeance is not calculated from geometry and permeability of a flux tube, but is provided as parameter.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n).

Parameters

TypeNameDefaultDescription
PermeanceG_m1Magnetic permeance

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​LeakageWithCoefficient
Leakage reluctance with respect to the reluctance of a useful flux path (not for dynamic simulation of actuators)

Information

Differently from the flux tube elements of package Shapes.Leakage that are calculated from their geometry, this leakage reluctance is calculated with reference to the total reluctance of a useful flux path. Parameter c_usefulFlux is the ratio of the useful flux over the total flux.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialLeakage (Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1).

Parameters

TypeNameDefaultDescription
CouplingCoefficientc_usefulFlux0.7Ratio useful flux/(leakage flux + useful flux) = useful flux/total flux

Inputs

TypeNameDefaultDescription
ReluctanceR_mUsefulTot Total reluctance of useful flux path as reference

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​EddyCurrent
For modelling of eddy current in a conductive magnetic flux tube

Information

Eddy currents are induced in a conductive magnetic flux tube when the flux changes with time. This causes a magnetic voltage drop in addition to the voltage drop that is due to the reluctance of this flux tube. The eddy current component can be thought of as a short-circuited secondary winding of a transformer with only one turn. Its resistance is then determined by the geometry and resistivity of the eddy current path. Alternatively, a total conductance parameter can be used.

Partitioning of a solid conductive cylinder or prism into several hollow cylinders or separate nested prisms and modelling of each of these flux tubes connected in parallel with a series connection of a reluctance element and an eddy current component can model the delayed buildup of the magnetic field in the complete flux tube from the outer to the inner sections. Please refer to [Ka08] for an illustration.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n) 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
BooleanuseConductancefalseUse conductance instead of geometry data and rho
ConductanceG1.020408163e+7Equivalent loss conductance G=A/rho/l
Resistivityrho9.8e-8Resistivity of flux tube material (default: Iron at 20degC)
Lengthl1Average length of eddy current path
AreaA1Cross sectional area of eddy current path
final ResistanceRrho * l / AElectrical resistance of eddy current path
BooleanuseHeatPortfalse=true, if heatPort is enabled
final TemperatureT273.15Fixed device temperature if useHeatPort = false

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port
HeatPort_aheatPortOptional port to which dissipated losses are transported in form of heat

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​Idle
Idle running branch

Information

This is a simple idle running branch. The magnetic flux through this component is equal to zero.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n).

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​Short
Short cut branch

Information

This is a simple short cut branch. The magnetic voltage of this component is equal to zero.

Extends from Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Interfaces.​PartialTwoPorts (Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n).

Connectors

TypeNameDescription
PositiveMagneticPortport_pPositive quasi-static magnetic port
NegativeMagneticPortport_nNegative quasi-static magnetic port

Model Modelica.​Magnetic.​QuasiStatic.​FluxTubes.​Basic.​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.

Connectors

TypeNameDescription
PositiveMagneticPortport_p1Positive port_p1 connected with port_p2
PositiveMagneticPortport_p2Positive port_p2 connected with port_p1
NegativeMagneticPortport_n1Negative port_n1 connected with port_n2
NegativeMagneticPortport_n2Negative port_n2 connected with port_n1