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Application of the template model for approximation of differential characteristics of complementary JFETs
Authors
	Pilipenko A.M.
	Prokopenko N.N.
	Budyakov P.S.
Date of publication
	2020
DOI
	10.31114/2078-7707-2020-1-56-62
Abstract
	The problems of modeling the complementary junction field-effect transistors (JFETs), which are used for processing the signals from sensors of various physical quantities in radiation-hardened integrated circuits (IC) of operational amplifiers with particularly low level of intrinsic noise, are considered in this paper. The aim of the work is to increase the accuracy of approximation of the differential characteristics (output conductance and transconductance) of complementary JFETs using the template model. To achieve this aim, the parameters and the errors of approximation of static and differential characteristics of complementary JFETs were estimated using the SPICE-model and the template model by means of various minimization criteria. Besides, an analysis of accuracy of modeling the own gain of complementary JFETs has been carried out. To create a template model it is necessary to replace parameters of the initial physical model by the fractionally rational functions of control voltages (relations of power series). This replacement allows ensuring the monotonicity of I-V characteristics of the obtained model. The number of additional empirical parameters in the obtained template model is small (no more than four), which makes it possible to use standard minimum search algorithms for parametric identification, for example, the Levenberg-Marquardt algorithm. It is shown in this work, that the use of the template model with additional sets of parameters obtained separately for each differential characteristic allows to increase the accuracy of the differential characteristics of complementary JFETs approximation (6 – 8 times for output conductance and 1.5 times for transconductance) in comparison with the results obtained for the SPICE-model. The achieved increase of accuracy of the differential characteristics approximation allows to reduce the errors of modeling the own gains of the complementary JFETs and also the errors of modeling analog ICs, which include this JFETs, at least 6 times in comparison with the known technique.
Keywords
	junction field-effect transistor, template model, parametric identification, method of least squares, transconductance, output conductance
Library reference
	Pilipenko A.M., Prokopenko N.N., Budyakov P.S. Application of the template model for approximation of differential characteristics of complementary JFETs // Problems of Perspective Micro- and Nanoelectronic Systems Development - 2020. Issue 1. P. 56-62. doi:10.31114/2078-7707-2020-1-56-62
URL of paper
	http://www.mes-conference.ru/data/year2020/pdf/D031.pdf