The URC model is derived from a model proposed by L. Gertzberrg in 1974. The model is accomplished by a subcicuit 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 URC line is made up strictly of resistor and capacitor segments unless the ISPERL parameter is given a non-zero 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.
The number of lumped segments used, if not specified, is determined by the following formula:
Parameters
Parameter | Description | Units | |
---|---|---|---|
L | length of the RC line in meters | meters | |
N | number of lumped segments to use in modelling the RC line | ||
K | Propagation Constant | 2 | |
FMAX | Maximum Frequency of interest | Hz | 1.0G |
RPERL | Resistance per unit length | Ω/m | 1000 |
CPERL | Capacitance per unit length | F/m | 1.0e-15 |
ISPERL | Saturation Current per unit length | A/m | 0 |
RSPERL | Diode Resistance per unit length | Ω/m | 0 |