Analysis of transistor circuits having multiple DC solutions with the thermal constraint

Abstract

PurposeThe purpose of this paper is to develop a method for finding all the DC solutions in nonlinear circuits with the thermal constraint.Design/methodology/approachThe proposed approach employs an algorithm for finding all the DC solutions without thermal constraint, including a new contraction and elimination method, an efficient method for tracing characteristics expressing voltages and power in terms of temperature, and electrical analog of the chip thermal behavior.FindingsThe paper brings a method that guarantees finding all the DC solutions, considering thermal behavior of the chip, in mid‐scale practical transistor circuits.Originality/valueA new contraction and elimination method, being the core of the algorithm for finding all the DC solutions, is proposed. An approach enabling us to consider a feedback between the power dissipated inside the chip and the temperature, which affects the circuit parameters and consequently the solutions is developed.