The OLine component implements a lumped transmission line. Each segment consists of a resistance and an inductance connected in series between the input and output of the segment, and a conductance and capacitance connected in parallel from the output of the segment to the common terminal.

To get a symmetric line, the first resistor and inductor are split into two parts; the following schematic shows the construction.

$L\=\ell \frac{\mathrm{length}}{N\+1}$

$R\=r_{\mathrm{actual}}\frac{\mathrm{length}}{N\+1}$

$G\=g_{\mathrm{actual}}\frac{\mathrm{length}}{N}$

$C\=c\frac{\mathrm{length}}{N}$

$r_{\mathrm{actual}}\=r\left(1\+{\mathrm{\alpha }}_R\left(T-T_{\mathrm{ref}}\right)\right)$

$g_{\mathrm{actual}}\=\frac{\mathrm{gr}}{1\+{\mathrm{\alpha }}_G\left(T-T_{\mathrm{ref}}\right)}$

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.