The Quasistatic Single Phase Variable Resistor (or Variable Resistor) component connects the voltage $v$ with the current $i$ by iR = v. The resistance R is given as a real input signal. The model includes a Conditional heat port and temperature dependency.

Note: A zero crossing of the $R$ signal could cause singularities due to the actual structure of the connected network.

$i\=i_p\=-i_n$

$v\=v_p-v_n\=R_{\mathrm{actual}}i$

$R_{\mathrm{actual}}\=R_{\mathrm{ref}}\left(1\+{\mathrm{\alpha }}_{\mathrm{ref}}\left(T_{\mathrm{hp}}-T_{\mathrm{ref}}\right)\right)$

$\mathrm{\omega }\={\stackrel{\.}{\mathrm{\gamma }}}_p$

${\mathrm{\gamma }}_p\={\mathrm{\gamma }}_n$

$P_{\mathrm{loss}}\=\Re \left(v\stackrel{\&conjugate0;}{i}\right)$

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

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.