JFET model

JFETs are modeled using an equivalent circuit. Model parameters should not be mistaken for datasheet parameters. 

See below for details. 

Large signal model

jfet model

All transistor node voltage references are with respect to the internal nodes in the following equations (that is, the ohmic resistance pin that is connected the inside of the structure.) 

Static equations 

Drain-source current: 

jfetstatic.png

Gate currents: 

jfetgatea.png

Capacitances

jfetcap.png

Temperature dependent parameters: 

The following parameters are functions of temperature. T is the operating temperate and TNOM is the nominal (or measured) temperature. T and TNOM can be adjusted in a number of ways. 

jfettemp.png

Noise equations

The device has thermal noise generators, jfetnoise1.png and jfetnoise2.png , as a result of the series ohmic resistances, and the shot and flicker noise generators, collectively jfetnoise3.png , as a result of the PN junction. 

Ohmic resistance noise:

jfetnoiseres.png

Shot and flicker noise:

jfetshot.png

References 

  1. G. Massobrio and P. Antognetti, Semiconductor Device Modeling with SPICE, 2nd edition, McGraw-Hill, 1993.
  2. A. Vladimirescu, The SPICE Book, Wiley, 1994.