The NPN component is a simple Ebers-Moll model of a bipolar NPN junction transistor.

An optional heatport can be used to connect the device to a heatsink, however, the electrical parameters are not temperature dependent.

$i_B\=\frac{i_{\mathrm{be}}}{{\mathrm{\beta }}_F}\+\frac{i_{\mathrm{bc}}}{{\mathrm{\beta }}_R}\+C_{\mathrm{BC}}{\stackrel{\.}{v}}_{\mathrm{bc}}\+C_{\mathrm{BE}}{\stackrel{\.}{v}}_{\mathrm{be}}$

$i_C\=\left(i_{\mathrm{be}}-i_{\mathrm{bc}}\right)q_{\mathrm{BK}}-\frac{i_{\mathrm{bc}}}{{\mathrm{\beta }}_R}-C_{\mathrm{BC}}{\stackrel{\.}{v}}_{\mathrm{bc}}\+C_{\mathrm{CS}}{\stackrel{\.}{v}}_C$

$C_{\mathrm{CJC}}\&equals;\{\begin{array}{cc}{C}_{\mathrm{JC}}\left(1\&plus;\mathrm{Mc}\frac{v_{\mathrm{bc}}}{{\mathrm{\phi }}_C}\right)& 0<\frac{v_{\mathrm{bc}}}{{\mathrm{\phi }}_C}\\ C_{\mathrm{JC}}\mathrm{pow}\left(1-\frac{v_{\mathrm{bc}}}{{\mathrm{\phi }}_C}\&comma;-\mathrm{Mc}\right)& \mathrm{otherwise}\end{array}$

$C_{\mathrm{CJE}}\&equals;\{\begin{array}{c}\mathrm{Cje}\left(1\&plus;\mathrm{Me}\frac{v_{\mathrm{be}}}{{\mathrm{\phi }}_E}\right)\&comma;0<\frac{v_{\mathrm{be}}}{{\mathrm{\phi }}_E}\\ \mathrm{Cje}\mathrm{pow}\left(1-\frac{v_{\mathrm{be}}}{{\mathrm{\phi }}_E}\&comma;-\mathrm{Me}\right)& \mathrm{otherwise}\end{array}$

$i_E\&equals;-i_B-i_C\&plus;C_{\mathrm{CS}}{\stackrel{\&period;}{v}}_C$

${\mathrm{Ex}}_{\max }\&equals;\exp \left(E_{\max }\right)$

${\mathrm{Ex}}_{\min }\&equals;\exp \left(E_{\min }\right)$

$C_{\mathrm{BC}}\&equals;\{\begin{array}{cc}{\mathrm{\tau }}_R\frac{I_S}{V_T}{\mathrm{Ex}}_{\min }\left(\frac{v_{\mathrm{bc}}}{V_T}-E_{\min }\&plus;1\right)\&plus;C_{\mathrm{CJC}}& \frac{v_{\mathrm{bc}}}{V_T}<E_{\min }\\ {\mathrm{\tau }}_R\frac{I_S}{V_T}{\mathrm{Ex}}_{\max }\left(\frac{v_{\mathrm{bc}}}{V_T}-E_{\max }\&plus;1\right)\&plus;C_{\mathrm{CJC}}& E_{\max }<\frac{v_{\mathrm{bc}}}{V_T}\\ {\mathrm{\tau }}_R\frac{I_S}{V_T}\exp \left(\frac{v_{\mathrm{bc}}}{V_T}\right)\&plus;C_{\mathrm{CJC}}& \mathrm{otherwise}\end{array}$

$C_{\mathrm{BE}}\&equals;\{\begin{array}{cc}{\mathrm{\tau }}_F\frac{I_S}{V_T}{\mathrm{Ex}}_{\min }\left(\frac{v_{\mathrm{be}}}{V_T}-E_{\min }\&plus;1\right)\&plus;C_{\mathrm{CJE}}& \frac{v_{\mathrm{be}}}{V_T}<E_{\min }\\ {\mathrm{\tau }}_F\frac{I_S}{V_T}{\mathrm{Ex}}_{\max }\left(\frac{v_{\mathrm{be}}}{V_T}-E_{\max }\&plus;1\right)\&plus;C_{\mathrm{CJE}}& E_{\max }<\frac{v_{\mathrm{be}}}{V_T}\\ {\mathrm{\tau }}_F\frac{I_S}{V_T}\exp \left(\frac{v_{\mathrm{be}}}{V_T}\right)\&plus;C_{\mathrm{CJE}}& \mathrm{otherwise}\end{array}$

$i_{\mathrm{bc}}\&equals;\{\begin{array}{cc}{I}_S\left({\mathrm{Ex}}_{\min }\left(\frac{v_{\mathrm{bc}}}{V_T}-E_{\min }\&plus;1\right)-1\right)\&plus;v_{\mathrm{bc}}{G}_{\mathrm{BC}}& \frac{v_{\mathrm{bc}}}{V_T}<E_{\min }\\ I_S\left({\mathrm{Ex}}_{\max }\left(\frac{v_{\mathrm{bc}}}{V_T}-E_{\max }\&plus;1\right)-1\right)\&plus;v_{\mathrm{bc}}{G}_{\mathrm{BC}}& E_{\max }<\frac{v_{\mathrm{bc}}}{V_T}\\ I_S\left(\exp \left(\frac{v_{\mathrm{bc}}}{V_T}\right)-1\right)\&plus;v_{\mathrm{bc}}{G}_{\mathrm{BC}}& \mathrm{otherwise}\end{array}$

$i_{\mathrm{be}}\&equals;\{\begin{array}{cc}{I}_S\left({\mathrm{Ex}}_{\min }\left(\frac{v_{\mathrm{be}}}{V_T}-E_{\min }\&plus;1\right)-1\right)\&plus;v_{\mathrm{be}}{G}_{\mathrm{BE}}& \frac{v_{\mathrm{be}}}{V_T}<E_{\min }\\ I_S\left({\mathrm{Ex}}_{\max }\left(\frac{v_{\mathrm{be}}}{V_T}-E_{\max }\&plus;1\right)-1\right)\&plus;v_{\mathrm{be}}{G}_{\mathrm{BE}}& E_{\max }<\frac{v_{\mathrm{be}}}{V_T}\\ I_S\left(\exp \left(\frac{v_{\mathrm{be}}}{V_T}\right)-1\right)\&plus;v_{\mathrm{be}}{G}_{\mathrm{BE}}& \mathrm{otherwise}\end{array}$

$q_{\mathrm{BK}}\&equals;-V_{\mathrm{AK}}{v}_{\mathrm{bc}}\&plus;1$

$v_{\mathrm{bc}}\&equals;v_B-v_C$

$v_{\mathrm{be}}\&equals;v_B-v_E$

$\mathrm{LossPower}\&equals;\left(i_{\mathrm{be}}-i_{\mathrm{bc}}\right)q_{\mathrm{BK}}\left(v_C-v_E\right)\&plus;v_{\mathrm{bc}}\frac{i_{\mathrm{bc}}}{{\mathrm{\beta }}_R}\&plus;v_{\mathrm{be}}\frac{i_{\mathrm{be}}}{{\mathrm{\beta }}_F}$

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.