model HollowCylinderAxialFlux "(Hollow) cylinder with axial flux; fixed shape; linear or non-linear material characteristics"
extends FluxTubes.Interfaces.PartialFixedShape;
parameter SI.Length l = 0.01 "Axial length (in direction of flux)"
annotation (Dialog(
group = "Fixed geometry",
groupImage = "modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/HollowCylinderAxialFlux_qs.png"));
parameter SI.Radius r_i = 0 "Inner radius of hollow cylinder (zero for cylinder)"
annotation (Dialog(group = "Fixed geometry"));
parameter SI.Radius r_o = 0.01 "Outer radius of (hollow) cylinder"
annotation (Dialog(group = "Fixed geometry"));
parameter Modelica.SIunits.Angle alpha = 2 * Modelica.Constants.pi "Central angle";
equation
A = pi * (r_o ^ 2 - r_i ^ 2) * alpha / (2 * Modelica.Constants.pi);
G_m = mu_0 * mu_r * A / l;
annotation (Documentation(info = "<html>\n<p>The axial cylinder models is characterized by the outer diameter, <img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/r_o.png\"/>, the inner diameter, <img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/r_i.png\"/>, length, <img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/l.png\"/>. The magnetic reluctance is determined by:</p>\n<p><img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/R_m_cuboid.png\"/></p>\n<p>The area of cross section yields:</p>\n<p><img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/A_axial.png\"/></p>\n<p><img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/HollowCylinderAxialFlux_qs.png\"/></p>\n<p>A hollow cylinder is depicted in the above figure left for <img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/alpha2pi.png\"/>. A solid cylindric flux tube an be considered by setting the inner radius, <img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/r_i.png\"/>, equal to zero.</p>\n<p>A circular sector of the area of cross section with central angle <img src=\"modelica://Modelica/Resources/Images/Magnetic/QuasiStatic/FluxTubes/alpha.png\"/> is depicted in the above figure right.</p>\n</html>"));
end HollowCylinderAxialFlux;