OLine

Lossy Transmission Line

 Description 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.
 Equations $L=\ell \frac{\mathrm{length}}{N+1}$ $R={r}_{\mathrm{actual}}\frac{\mathrm{length}}{N+1}$ $G={g}_{\mathrm{actual}}\frac{\mathrm{length}}{N}$ $C=c\frac{\mathrm{length}}{N}$ ${r}_{\mathrm{actual}}=r\left(1+{\mathrm{\alpha }}_{R}\left(T-{T}_{\mathrm{ref}}\right)\right)$ ${g}_{\mathrm{actual}}=\frac{\mathrm{gr}}{1+{\mathrm{\alpha }}_{G}\left(T-{T}_{\mathrm{ref}}\right)}$

Connections

 Name Description Modelica ID $\mathrm{p1}$ Port 1 p1 $\mathrm{p2}$ Port 2 p2 $\mathrm{p3}$ Port 3, common terminal p3 $\mathrm{Heat Port}$ heatPort

Parameters

 Name Default Units Description Modelica ID $r$ $1$ $\frac{\mathrm{\Omega }}{m}$ Resistance per meter r $\ell$ $1$ $\frac{H}{m}$ Inductance per meter l $g$ $1$ $\frac{S}{m}$ Conductance per meter g $c$ $1$ $\frac{F}{m}$ Capacitance per meter c $\mathrm{length}$ $1$ $m$ Length of line length $N$ $1$ Number of lumped segments N ${\mathrm{\alpha }}_{R}$ $0$ $\frac{1}{K}$ Temperature coefficient of resistance alpha_R ${\mathrm{\alpha }}_{G}$ $0$ $\frac{1}{K}$ Temperature coefficient of conductance alpha_G $T$ $293.15$ $K$ Fixed device temperature if Use Heat Port is false T ${T}_{\mathrm{ref}}$ $300.15$ $K$ Reference temperature T_ref Use Heat Port $\mathrm{false}$ True (checked) means heat port is enabled useHeatPort

 Modelica Standard Library 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.