Abstract
The paper deals with dc circuits including bipolar transistors represented by the Ebers-Moll model. An important question how to efficiently compute multivalued input-output characteristics of these circuits is considered. A switching variables approach for tracing a multivalued single-branched characteristic, which can be considered as some kind of continuation method, is developed. A new strategy of switching variables is proposed and the generalized implicit function theorem is used as the mathematical background. Unfortunately, this approach suffers from major shortcomings when it is directly applied to bipolar transistor circuits, due to specific nonlinearities of the transistor model, causing the sharp-turning-point problem. To overcome this problem, a variable transformation is proposed, which leads to smooth solution curves. An efficient algorithm combining the developed variant of switching variable method with the proposed transformation is described. A generalized version of the algorithm enables us to compute multivalued characteristics composed of disconnected branches, under the assumption that at least one point on each branch can be found. It is illustrated via four examples of realistic transistor circuits including a voltage regulator, the Schmitt trigger, a line receiver, and their combination.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IEEE Transactions on Circuits and Systems I: Regular Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
