The Tellinen Table component is a flux tube element of fixed length and cross-sectional area that models 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. Almost any hysteresis shape is possible.

The Hysteresis Material parameter specifies a record containing a table, it should be the instance name of a magnetic material from the palette Magnetic > Material > Hysteresis > Table Based. See Magnetic Material with Table-based Hysteresis.

The Use default material boolean parameter, when true, sets the name of the Hysteresis Material parameter to hysteresisTableMaterial1, which corresponds to the default name assigned to a record of the appropriate class. To use a different name, uncheck the box and enter the name for the parameter that appears.

$\mathrm{\Phi }\={\mathrm{\Phi }}_p\=-{\mathrm{\Phi }}_n\=BA$

$V_m\=V_{m_p}-V_{m_n}$

$H\=\frac{V_m}{\ell }\=H_{\mathrm{stat}}\+H_{\mathrm{eddy}}$

$H_{\mathrm{eddy}}\=\{\begin{array}{cc}\frac{\mathrm{\sigma }{d}^2}{12}\frac{\mathrm{dB}}{\mathrm{dt}}& \mathrm{Include\; eddy\; currents}\\ 0& \mathrm{otherwise}\end{array}$

$H_0\=\frac{1}{2}\log \left(\frac{1\+\frac{B_r}{J_s}}{1-\frac{B_r}{J_s}}\right)$

${\mathrm{hyst}}_F\=H_{\mathrm{stat}}{\mathrm{\mu }}_0\+T_{\mathrm{unit}}{\mathrm{tabfal.y}}_1\+\mathrm{eps}$

${\mathrm{hyst}}_R\=H_{\mathrm{stat}}{\mathrm{\mu }}_0\+T_{\mathrm{unit}}{\mathrm{tabris.y}}_1\+\mathrm{eps}$

${\mathrm{tabfal.u}}_1\={\mathrm{tabris.u}}_1\=H_{\mathrm{stat}}$

$\{\begin{array}{cc}\left\{\mathrm{dHyst}\&equals;0\&comma;k\&equals;\frac{1}{100}\right\}& \mathrm{initial}\\ \left\{\mathrm{dHyst}\&equals;\frac{d}{\mathrm{dt}}\left(-H_{\mathrm{stat}}{\mathrm{\mu }}_0\&plus;{\mathrm{hyst}}_R\right)\&comma;k\&equals;\max \left(\frac{1}{100}\&comma;\frac{{\mathrm{hyst}}_F-B}{\Delta \mathrm{hyst}}\right)\right\}& 0<\frac{{\mathrm{dH}}_{\mathrm{stat}}}{\mathrm{dt}}\\ \left\{\mathrm{dHyst}\&equals;\frac{d}{\mathrm{dt}}\left(-H_{\mathrm{stat}}{\mathrm{\mu }}_0\&plus;{\mathrm{hyst}}_F\right)\&comma;k\&equals;\max \left(\frac{1}{100}\&comma;\frac{B-{\mathrm{hyst}}_R}{\Delta \mathrm{hyst}}\right)\right\}& \mathrm{otherwise}\end{array}$

$\mathrm{LossPower}\&equals;{\mathrm{LossPower}}_{\mathrm{stat}}\&plus;{\mathrm{LossPower}}_{\mathrm{eddy}}$

${\mathrm{LossPower}}_{\mathrm{eddy}}\&equals;H_{\mathrm{eddy}}\frac{\mathrm{dB}}{\mathrm{dt}}V$

${\mathrm{LossPower}}_{\mathrm{stat}}\&equals;H_{\mathrm{stat}}\frac{\mathrm{dB}}{\mathrm{dt}}V$

$\Delta \mathrm{hyst}\&equals;{\mathrm{hyst}}_F-{\mathrm{hyst}}_R$

$\frac{\mathrm{dB}}{\mathrm{dt}}\&equals;k\mathrm{dHyst}\&plus;{\mathrm{\mu }}_0\frac{d{H}_{\mathrm{stat}}}{\mathrm{dt}}$

$\frac{\mathrm{dMagRel}}{\mathrm{dt}}\&equals;0$

$T_{\mathrm{hp}}\&equals;\{\begin{array}{cc}{T}_{\mathrm{heatPort}}& \mathrm{Use\; Heat\; Port}\\ T& \mathrm{otherwise}\end{array}$

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.