Uniform Distributed RC Model (URC)
The URC model is derived from a model proposed by L. Gertzberg in 1974. The model is accomplished by a subcircuit type expansion of the URC line into a network of lumped RC segments with internally generated nodes. The RC segments are in a geometric progression, increasing toward the middle of the URC line, with (K) as a proportionality constant. The number of lumped segments used, if not specified for the URC line device, is determined by the following formula:
[\begin{array}{ll} {N = \frac{\log\left| {F_{\lbrack font\ rm\ \lbrack char\ m\ mathalpha\rbrack\lbrack char\ a\ mathalpha\rbrack\lbrack char\ x\ mathalpha\rbrack\rbrack}\frac{R}{L}\frac{C}{L}2\pi L^{2}\left| \frac{\left( {K - 1} \right)}{K} \right|^{2}} \right|}{\log K}} & \ \end{array}]The URC line is made up strictly of resistor and capacitor segments unless the ISPERL parameter is given a nonzero value, in which case the capacitors are replaced with reverse biased diodes with a zero-bias junction capacitance equivalent to the capacitance replaced, and with a saturation current of ISPERL amps per meter of transmission line and an optional series resistance equivalent to RSPERL ohms per meter.
Name
|
Parameter
|
Units
|
Default
|
Example
|
Area
|
K
|
Propagation Constant
|
-
|
2.0
|
1.2
|
-
|
FMAX
|
Maximum Frequency of interest
|
Hz
|
1.0 G
|
6.5 Meg
|
-
|
RPERL
|
Resistance per unit length
|
$\frac{\Omega}{m}$
|
1000
|
10
|
-
|
CPERL
|
Capacitance per unit length
|
$\frac{F}{m}$
|
10e-15
|
1 p
|
-
|
ISPERL
|
Saturation Current per unit length
|
$\frac{A}{m}$
|
0
|
-
|
-
|
RSPERL
|
Diode Resistance per unit length
|
$\frac{\Omega}{m}$
|
0
|
-
|
-
|