Modelica.Magnetic.FluxTubes.Interfaces

Information

This package contains connectors for the magnetic domain and partial models for lumped magnetic network components.

Extends from Modelica.Icons.Library (Icon for library).

Package Content

Name	Description
MagneticPort	Generic magnetic port
PositiveMagneticPort	Positive magnetic port
NegativeMagneticPort	Negative magnetic port
PartialTwoPortsElementary	Partial component with two magnetic ports p and n for textual programming
PartialTwoPorts	Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n
PartialFixedShape	Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics
PartialForce	Base class for flux tubes with reluctance force generation; constant permeability
PartialLeakage	Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1

Modelica.Magnetic.FluxTubes.Interfaces.MagneticPort

Contents

Type	Name	Description
MagneticPotentialDifference	V_m	Magnetic potential at the port [A]
flow MagneticFlux	Phi	Magnetic flux flowing into the port [Wb]

Modelica definition

connector MagneticPort "Generic magnetic port"
  SI.MagneticPotentialDifference V_m "Magnetic potential at the port";
  flow SI.MagneticFlux Phi "Magnetic flux flowing into the port";

end MagneticPort;

Modelica.Magnetic.FluxTubes.Interfaces.PositiveMagneticPort

Information

Contents

Type	Name	Description
MagneticPotentialDifference	V_m	Magnetic potential at the port [A]
flow MagneticFlux	Phi	Magnetic flux flowing into the port [Wb]

Modelica definition

connector PositiveMagneticPort "Positive magnetic port"
  extends Modelica.Magnetic.FluxTubes.Interfaces.MagneticPort;


end PositiveMagneticPort;

Modelica.Magnetic.FluxTubes.Interfaces.NegativeMagneticPort

Information

Contents

Type	Name	Description
MagneticPotentialDifference	V_m	Magnetic potential at the port [A]
flow MagneticFlux	Phi	Magnetic flux flowing into the port [Wb]

Modelica definition

connector NegativeMagneticPort "Negative magnetic port"
  extends Modelica.Magnetic.FluxTubes.Interfaces.MagneticPort;


end NegativeMagneticPort;

Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPortsElementary

Information

Partial model of a flux tube component with two magnetic ports: the positive port connector port_p, and the negative port connector port_n.

Connectors

Type	Name	Description
PositiveMagneticPort	port_p	Positive magnetic port
NegativeMagneticPort	port_n	Negative magnetic port

Modelica definition

partial model PartialTwoPortsElementary 
  "Partial component with two magnetic ports p and n for textual programming"

  Modelica.Magnetic.FluxTubes.Interfaces.PositiveMagneticPort port_p 
    "Positive magnetic port";
  Modelica.Magnetic.FluxTubes.Interfaces.NegativeMagneticPort port_n 
    "Negative magnetic port";

end PartialTwoPortsElementary;

Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPorts

Information

It is assumed that the magnetic flux flowing into port_p is identical to the flux flowing out of port_n. This magnetic flux is provided explicitly as flux Phi.

Extends from Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPortsElementary (Partial component with two magnetic ports p and n for textual programming).

Connectors

Type	Name	Description
PositiveMagneticPort	port_p	Positive magnetic port
NegativeMagneticPort	port_n	Negative magnetic port

Modelica definition

partial model PartialTwoPorts 
  "Partial component with magnetic potential difference between two magnetic ports p and n and magnetic flux Phi from p to n"

  extends Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPortsElementary;
  SI.MagneticPotentialDifference V_m 
    "Magnetic potential difference between both ports";
  SI.MagneticFlux Phi "Magnetic flux from port_p to port_n";

equation 
  V_m = port_p.V_m - port_n.V_m;
  Phi = port_p.Phi;
  0 = port_p.Phi + port_n.Phi;

end PartialTwoPorts;

Modelica.Magnetic.FluxTubes.Interfaces.PartialFixedShape

Information

Please refer to the description of the sub-package Shapes.FixedShape for utilisation of this partial model.

Extends from Modelica.Magnetic.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

Type	Name	Default	Description
Material
Boolean	nonLinearPermeability	true	= true, if non-linear rel. permeability is used, otherwise constant rel. permeability
RelativePermeability	mu_rConst	1	Constant relative permeability; used if nonLinearPermeability = false [1]
BaseData	material	Modelica.Magnetic.FluxTubes....	Ferromagnetic material characteristics; used if nonLinearPermeability = true

Connectors

Type	Name	Description
PositiveMagneticPort	port_p	Positive magnetic port
NegativeMagneticPort	port_n	Negative magnetic port

Modelica definition

partial model PartialFixedShape 
  "Base class for flux tubes with fixed shape during simulation; linear or non-linear material characteristics"

  extends Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPorts;

  parameter Boolean nonLinearPermeability = true 
    "= true, if non-linear rel. permeability is used, otherwise constant rel. permeability";
  parameter SI.RelativePermeability mu_rConst = 1 
    "Constant relative permeability; used if nonLinearPermeability = false";

  parameter Modelica.Magnetic.FluxTubes.Material.SoftMagnetic.BaseData material
    =
    Modelica.Magnetic.FluxTubes.Material.SoftMagnetic.BaseData() 
    "Ferromagnetic material characteristics; used if nonLinearPermeability = true";

  SI.Reluctance R_m "Magnetic reluctance";
  SI.Permeance G_m "Magnetic permeance";
  SI.MagneticFluxDensity B "Magnetic flux density";
  SI.CrossSection A "Cross-sectional area penetrated by magnetic flux";
  SI.MagneticFieldStrength H "Magnetic field strength";

    SI.RelativePermeability mu_r "Relative magnetic permeability";

equation 
  mu_r = if nonLinearPermeability then 
    Modelica.Magnetic.FluxTubes.Material.SoftMagnetic.mu_rApprox(
        B,
        material.mu_i,
        material.B_myMax,
        material.c_a,
        material.c_b,
        material.n) else mu_rConst;
  R_m = 1/G_m;
  V_m = Phi * R_m;
  B = Phi/A;
  H = B / (mu_0 * mu_r);

end PartialFixedShape;

Modelica.Magnetic.FluxTubes.Interfaces.PartialForce

Information

Please refer to the description of the sub-package Shapes.Force for utilisation of this partial model.

Extends from Modelica.Magnetic.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

Type	Name	Default	Description
Boolean	useSupport	false	= true, if support flange enabled, otherwise implicitly grounded
RelativePermeability	mu_r	1	Relative magnetic permeability [1]
Integer	dlBydx	1	Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1

Connectors

Type	Name	Description
PositiveMagneticPort	port_p	Positive magnetic port
NegativeMagneticPort	port_n	Negative magnetic port
Flange_b	flange	Generated reluctance force at armature position
Support	support	Support/housing of component

Modelica definition

partial model PartialForce 
  "Base class for flux tubes with reluctance force generation; constant permeability"

  extends Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPorts;

  parameter Boolean useSupport=false 
    "= true, if support flange enabled, otherwise implicitly grounded";

  parameter SI.RelativePermeability mu_r = 1 "Relative magnetic permeability";

  SI.Force F_m "Reluctance force";
  Modelica.SIunits.Length s = flange.s - s_support 
    "Distance between flange and support";

  SI.Reluctance R_m "Magnetic reluctance";
  SI.Permeance G_m "Magnetic permeance";
  SI.Permeability dGmBydx 
    "Derivative of permeance with respect to armature position";
  parameter Integer dlBydx = 1 
    "Derivative of flux tube's varying dimension with respect to armature position; set to +1 or -1";

 Modelica.Mechanics.Translational.Interfaces.Flange_b flange 
    "Generated reluctance force at armature position";
 Modelica.Mechanics.Translational.Interfaces.Support support(
             s=s_support, f=-flange.f) if 
    useSupport "Support/housing of component";

protected 
  Modelica.SIunits.Length s_support "Absolute position of support flange";

equation 
  V_m = Phi * R_m;
  R_m = 1/G_m;
  F_m = 0.5 * V_m^2 * dGmBydx;

  if not useSupport then
     s_support = 0;
  end if;
  flange.f = -F_m;

end PartialForce;

Modelica.Magnetic.FluxTubes.Interfaces.PartialLeakage

Information

Please refer to the description of the sub-package Shapes.Leakage for utilisation of this partial model.

Extends from Modelica.Magnetic.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

Type	Name	Description
PositiveMagneticPort	port_p	Positive magnetic port
NegativeMagneticPort	port_n	Negative magnetic port

Modelica definition

partial model PartialLeakage 
  "Base class for leakage flux tubes with position-independent permeance and hence no force generation; mu_r=1"

  extends Modelica.Magnetic.FluxTubes.Interfaces.PartialTwoPorts;

  SI.Reluctance R_m "Magnetic reluctance";
  SI.Permeance G_m "Magnetic permeance";

equation 
  V_m = Phi * R_m;
  R_m = 1/G_m;

end PartialLeakage;