The Tellinen Permanent Magnet component is a flux tube element of fixed length and cross-sectional area that models the hard magnetic hysteresis of permanent magnets. The model is similar to Tellinen Hard but has an initial magnetization preset of -100% and an adapted icon for better readability of the diagram.

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

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

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

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

$H_0\=\frac{1}{2}\log \left(\frac{1\+{\mathrm{\mu }}_0\frac{H_c}{B_r}}{1-{\mathrm{\mu }}_0\frac{H_c}{B_r}}\right)\+M{H}_c$

${\mathrm{hyst}}_F\=J_s\tanh \left(\frac{H_{\mathrm{stat}}M\+H_0}{H_{\mathrm{unit}}}\right)\+{\mathrm{\mu }}_0{H}_{\mathrm{stat}}\+\frac{1}{2}\mathrm{eps}$

${\mathrm{hyst}}_R\=J_s\tanh \left(\frac{H_{\mathrm{stat}}M-H_0}{H_{\mathrm{unit}}}\right)\+{\mathrm{\mu }}_0{H}_{\mathrm{stat}}-\frac{1}{2}\mathrm{eps}$

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

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

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

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

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

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

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

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

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.