Magnetic.Reluctance

Information

Name	Description
MagneticGround	Magnetic ground node
LinearReluctance	Magnetic reluctance of flux tube with constant relative permeability
NonlinearReluctance	Magnetic reluctance of a ferromagnetic flux tube with nonlinear B(H) relationship
WorkingAirGap	Magnetic reluctance of a working air gap and generation of a reluctance force
Air	Flux tube geometries for stray flux through air

Magnetic.Reluctance.MagneticGround

Information

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

Modelica definition

model MagneticGround "Magnetic ground node" 
  Magnetic.Interfaces.MagneticPort p;
equation 
  p.V_mag = 0;
end MagneticGround;

Magnetic.Reluctance.LinearReluctance

Parameters

Name	Default	Description
my_r	1	Constant relative permeability [1]
l	0.1	Length of flux tube [m]
A	1e-4	Cross sectional area of flux tube [m2]

Modelica definition

model LinearReluctance 
  "Magnetic reluctance of flux tube with constant relative permeability" 
  
  extends Interfaces.MagneticFluxTube;
  
  parameter SI.RelativePermeability my_r = 1 "Constant relative permeability";
  
  parameter SI.Length l = 0.1 "Length of flux tube";
  parameter SI.Area A = 1e-4 "Cross sectional area of flux tube";
  SI.MagneticFluxDensity B "Flux density";
  SI.Reluctance R_mag "Magnetic reluctance";
  
equation 
  
  R_mag = l/(Modelica.Constants.mue_0*my_r*A);
  R_mag*Phi = V_mag;
  B = Phi/A;
  
end LinearReluctance;

Magnetic.Reluctance.NonlinearReluctance

Parameters

Name	Default	Description
l	0.01	Length of flux tube [m]
A	1e-4	Cross sectional area of flux tube [m2]
replaceable function my_r_Material	Magnetic.Material.Softmagnet...

Modelica definition

model NonlinearReluctance 
  "Magnetic reluctance of a ferromagnetic flux tube with nonlinear B(H) relationship" 
  
  extends Interfaces.MagneticFluxTube;
  
  parameter SI.Length l = 0.01 "Length of flux tube";
  parameter SI.Area A = 1e-4 "Cross sectional area of flux tube";
  SI.MagneticFluxDensity B "Flux density";
  SI.Reluctance R_mag "Magnetic reluctance";
  SI.RelativePermeability my_r "Relative permeability";
  
  replaceable function my_r_Material = 
      Magnetic.Material.Softmagnetic.Steel_9SMn28K;
  
equation 
  my_r = my_r_Material(B);
  R_mag = l/(Modelica.Constants.mue_0*my_r*A);
  R_mag*Phi = V_mag;
  B = Phi/A;
  
end NonlinearReluctance;

Magnetic.Reluctance.WorkingAirGap

Modelica definition

model WorkingAirGap 
  "Magnetic reluctance of a working air gap and generation of a reluctance force" 
  
  extends Interfaces.MagneticFluxTube;
  
  SI.Area A "Cross sectional area of flux tube";
  SI.MagneticFluxDensity B "Flux density";
  SI.Reluctance R_mag "Magnetic reluctance";
  
  Modelica.Mechanics.Translational.Interfaces.Flange_a AirGapFlange 
    "Interface between magnetic and mechanical subsystem";
equation 
  R_mag = AirGapFlange.s/(Modelica.Constants.mue_0*A);
  R_mag*Phi = V_mag;
  B = Phi/A;
  AirGapFlange.f = Phi * Phi / (2 * Modelica.Constants.mue_0 * A) 
    "Reluctance force calculated with Maxwell's formula";
  
end WorkingAirGap;