Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets

Flux tube elements for modelling ferromagnetic hysteresis, eddy currents and permanent magnets

Information

Please have a look at UsersGuide.Hysteresis for an explanation of the Content of the package.

Extends from Modelica.Icons.VariantsPackage (Icon for package containing variants).

Package Content

Name	Description
GenericHystTellinenSoft	Generic flux tube with soft magnetic hysteresis based on the Tellinen model and simple tanh()-functions
GenericHystTellinenHard	Generic flux tube with hard magnetic hysteresis based on the Tellinen model and simple tanh()-functions
GenericHystTellinenEverett	Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and the Everett function [Ya89])
GenericHystTellinenTable	Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and table data
GenericHystPreisachEverett	Generic flux tube with ferromagnetic hysteresis based on the Preisach model and the Everett function [Ya89])
GenericHystTellinenPermanentMagnet	Permanent magnet based on the Tellinen hysteresis model
GenericLinearPermanentMagnet	Permanent Magnet with linear characteristic

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystTellinenSoft

Generic flux tube with soft magnetic hysteresis based on the Tellinen model and simple tanh()-functions

Information

Flux tube element for modeling soft magnetic materials with ferromagnetic and dynamic hysteresis (eddy currents). The ferromagnetic hysteresis behavior is defined by the Tellinen hysteresis model. The shape of the limiting hysteresis loop (see Fig. 1) is described by simple hyperbolic tangent functions with 4 parameters. Therefore, the hysteresis shape variety is limited but the parameterization of the model is very simple and the model is relatively fast and robust. The rising (hyst_R) and falling (hyst_F) branches of the limiting hysteresis loop are defined by the following equations.

Extends from Interfaces.PartialGenericHysteresisTellinen (Partial Tellinen hysteresis model).

Parameters

Name	Description
Hysteresis
Js	Saturation polarization [T]
Br	Remanence [T]
Hc	Coercitivity [A/m]
K	mu_0 multiplier
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
H	Magnetic field strength [A/m]
MagRel	Relative magnetization at initialization (-1..1) [1]
derHstat	[A/(m.s)]
asc	True when der(Hstat)>0
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Losses and Heat
HeatPort
useHeatPort	=true, if HeatPort is enabled
Eddy Currents
includeEddyCurrents	=true, if eddy current losses are enabled
sigma	Conductivity of core material [S/m]
d	Thickness of lamination [m]

Connectors

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystTellinenHard

Generic flux tube with hard magnetic hysteresis based on the Tellinen model and simple tanh()-functions

Information

Flux tube element for modeling the ferromagnetic (static) hysteresis of hard magnetic materials. The ferromagnetic hysteresis behavior is defined by the Tellinen hysteresis model. The shape of the limiting hysteresis loop is described by simple hyperbolic tangent functions with 4 parameters.

Fig. 1: Hyperbolic tangent functions define the shape of the ferromagnetic (static) hysteresis

An overview of all available hysteresis and permanent magnet elements of the package HysteresisAndMagnets can be found in UsersGuide.Hysteresis.

Extends from Interfaces.PartialGenericHysteresisTellinen (Partial Tellinen hysteresis model).

Parameters

Name	Description
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
H	Magnetic field strength [A/m]
MagRel	Relative magnetization at initialization (-1..1) [1]
derHstat	[A/(m.s)]
asc	True when der(Hstat)>0
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Hysteresis
Br	Remanence [T]
Hc	Coercitivity [A/m]
M	Slope of tanh()-function
K	mu_0 multiplier
Losses and Heat
HeatPort
useHeatPort	=true, if HeatPort is enabled
Eddy Currents
includeEddyCurrents	=true, if eddy current losses are enabled
sigma	Conductivity of core material [S/m]
d	Thickness of lamination [m]

Connectors

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystTellinenEverett

Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and the Everett function [Ya89])

Information

Flux tube element for modeling soft magnetic materials with ferromagnetic and dynamic hysteresis (eddy currents). The ferromagnetic hysteresis behavior is defined by the Tellinen hysteresis model. The Shape of the limiting ferromagnetic hysteresis loop is specified by an analytical description of the Everett function, which is also used to parameterize the GenericHystPreisachEverett model. A library of predefined parameter sets can be found in FluxTubes.Material.HysteresisEverettParameter.

An overview of all available hysteresis and permanent magnet elements of the package HysteresisAndMagnets can be found in UsersGuide.Hysteresis.

Extends from Interfaces.PartialGenericHysteresisTellinen (Partial Tellinen hysteresis model).

Parameters

Name	Description
Material
mat	Material properties
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
H	Magnetic field strength [A/m]
MagRel	Relative magnetization at initialization (-1..1) [1]
derHstat	[A/(m.s)]
asc	True when der(Hstat)>0
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Losses and Heat
HeatPort
useHeatPort	=true, if HeatPort is enabled
Eddy Currents
includeEddyCurrents	=true, if eddy current losses are enabled
sigma	Conductivity of core material [S/m]
d	Thickness of lamination [m]

Connectors

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystTellinenTable

Generic flux tube with ferromagnetic hysteresis based on the Tellinen model and table data

Information

Flux tube element for modeling magnetic materials with ferromagnetic and dynamic hysteresis (eddy currents). The ferromagnetic hysteresis behavior is defined by the Tellinen hysteresis model. The rising and falling branch of the limiting ferromagnetic hysteresis loop are specified by table data. Therefore, almost any hysteresis shapes are possible. A library with predefined tables can be found at FluxTubes.Material.HysteresisTableData.

An overview of all available hysteresis and permanent magnet elements of the package HysteresisAndMagnets can be found in UsersGuide.Hysteresis.

Extends from Interfaces.PartialGenericHysteresisTellinen (Partial Tellinen hysteresis model).

Parameters

Name	Description
Hysteresis
mat
K	Slope of hysteresis in the saturation region (K*mu_0)
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
H	Magnetic field strength [A/m]
MagRel	Relative magnetization at initialization (-1..1) [1]
derHstat	[A/(m.s)]
asc	True when der(Hstat)>0
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Losses and Heat
HeatPort
useHeatPort	=true, if HeatPort is enabled
Eddy Currents
includeEddyCurrents	=true, if eddy current losses are enabled
sigma	Conductivity of core material [S/m]
d	Thickness of lamination [m]

Connectors

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystPreisachEverett

Generic flux tube with ferromagnetic hysteresis based on the Preisach model and the Everett function [Ya89])

Information

Flux tube element for modeling magnetic materials with ferromagnetic and dynamic hysteresis (eddy currents). The ferromagnetic hysteresis behavior is defined by the Preisach hysteresis model. The Shape of the limiting ferromagnetic hysteresis loop is specified by an analytical description of the Everett function. A library of predefined parameter sets can be found in FluxTubes.Material.HysteresisEverettParameter.

An overview over all available hysteresis and permanent magnet elements of the package HysteresisAndMagnets can be found in UsersGuide.Hysteresis.

Extends from Interfaces.PartialGenericHysteresis (Partial hysteresis model).

Parameters

Name	Description
Material
mat	Preisach Parameters
Advanced
Count	Length of history array
eps	Tolerance in Preisach history [A/m]
t1	Initialization time [s]
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
H	Magnetic field strength [A/m]
MagRel	Relative magnetization at initialization (-1..1) [1]
derHstat	[A/(m.s)]
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Losses and Heat
HeatPort
useHeatPort	=true, if HeatPort is enabled
Eddy Currents
includeEddyCurrents	=true, if eddy current losses are enabled
sigma	Conductivity of core material [S/m]
d	Thickness of lamination [m]

Connectors

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericHystTellinenPermanentMagnet

Permanent magnet based on the Tellinen hysteresis model

Information

Flux tube element for modeling the hard magnetic hysteresis of permanent magnets. The model is similar to GenericHystTellinenHard but has an initial magnetization preset of -100% and an adapted icon for better readability of the diagram.

An overview over all available hysteresis and permanent magnet elements of the package HysteresisAndMagnets can be found in UsersGuide.Hysteresis.

Extends from FluxTubes.Interfaces.PartialGenericHysteresisTellinen (Partial Tellinen hysteresis model).

Parameters

Name	Description
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
H	Magnetic field strength [A/m]
derHstat	[A/(m.s)]
asc	True when der(Hstat)>0
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Hysteresis
Br	Remanence [T]
Hc	Coercitivity [A/m]
M	Slope of tanh()-function [1]
K	mu_0 multiplier [1]
Losses and Heat
HeatPort
useHeatPort	=true, if HeatPort is enabled
Eddy Currents
includeEddyCurrents	=true, if eddy current losses are enabled
sigma	Conductivity of core material [S/m]
d	Thickness of lamination [m]

Connectors

Modelica.Magnetic.FluxTubes.Shapes.HysteresisAndMagnets.GenericLinearPermanentMagnet

Permanent Magnet with linear characteristic

Information

Simple model of a linear permanent Magnet. Typical characteristics of common permanent magnetic materials can be found at FluxTubes.Material.HardMagnetic.

An overview over all available hysteresis and permanent magnet elements of the package HysteresisAndMagnets can be found in UsersGuide.Hysteresis.

Extends from Interfaces.PartialGeneric (Partial Tellinen hysteresis model).

Parameters

Name	Description
Initialization
Phi	Magnetic flux from port_p to port_n [Wb]
Fixed geometry
l	Length in direction of flux [m]
A	Area of cross section [m2]
Material
mat	Material

Connectors