class Tellinen "Tellinen Hysteresis Model"
extends Modelica.Icons.Information;
annotation (Documentation(info = "<html>\n<h4>The Tellinen hysteresis model</h4>\n\n<p>\nThe Tellinen hysteresis model is described in more detail in <a href=\"modelica://Modelica.Magnetic.FluxTubes.UsersGuide.Literature\">[Te98, ZB12]</a>. It is a simple model to describe the static magnetic hysteresis behavior of ferromagnetic materials. It only requires the Upper B<sub>U</sub>(H) and lower B<sub>L</sub>(H) branches of the limiting hysteresis loop for the adaption to a material specific hysteresis shape. Coming from negative magnetic saturation with increasing magnetic field strength H(t) the flux density B(T) travels along the B<sub>L</sub>(H). Coming from positive saturation with a decreasing H(t), B(t) travels along B<sub>U</sub>(H). The Tellinen model is defined by the following equation, which gives a calculation rule for time derivative of the magnetic flux density B(t) with respect to the current value of B(t), H(t) and its slope dH(t)/dt.\n</p>\n\n<table cellspacing=\"0\" cellpadding=\"2\" border=\"0\"><tr>\n<td><p><img src=\"modelica://Modelica/Resources/Images/Magnetic/FluxTubes/UsersGuide/Hysteresis/StaticHysteresis/Tellinen/Eqn_Tellinen01.png\"/></p></td>\n</tr>\n</table>\n\n<p>\nTherein, S<sub>U</sub>(H) and S<sub>L</sub>(H) are the derivatives of limiting branches of the hysteresis loop with respect to the magnetic field strength H, as illustrated in Fig 1.\n</p>\n<p>\n<strong>Fig. 1:</strong> Upper B<sub>U</sub>(H) and lower B<sub>L</sub>(H) branches of the hysteresis envelope curve, their corresponding slope functions S<sub>UH</sub>(H) and S<sub>LH</sub>(H) and the actual operating point H(t), B(t).</p>\n\n<table cellspacing=\"0\" cellpadding=\"2\" border=\"0\"><tr>\n<td><p><img src=\"modelica://Modelica/Resources/Images/Magnetic/FluxTubes/UsersGuide/Hysteresis/StaticHysteresis/Tellinen/TellinenDesc1.png\"/></p></td>\n</tr>\n</table>\n</html>"));
end Tellinen;