A New Second Order Nonlinear Formulation for Fast-SPICE Circuit Simulation

Third Author's Department

Physics Department

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https://doi.org/10.1109/ACCESS.2024.3367992

All Authors

Amira Elhamshary, Yehea Ismail, Youssef Abdel Aziz, Hani Fikry Ragai

Document Type

Research Article

Publication Title

IEEE Access

Publication Date

1-1-2024

doi

10.1109/ACCESS.2024.3367992

Abstract

A new second-order matrix formulation is proposed in this work to model any nonlinear electronic system. This new formulation is developed and implemented by using a recasting method that increases the number of variables but limits the non-linearity to a quadratic form. Nonlinearity is modeled without any approximation and can model complex nonlinearities such as exponential and Tanh-based models. The new quadratic method is applied to the extended tanh MOSFET model and an exponential diode model to illustrate the power and reliability of this method. The method also has the advantage of directly stamping transistors and diodes into matrix forms in ways similar to linear elements. To demonstrate the validity of the new formulation, several circuits are examined, and the results compare very well to SPICE simulations. The simulation time as well as numerical stability improve significantly when using time marching techniques with the quadratic formulation as compared to directly stamping transistor and diode exponential nonlinearities.

First Page

30738

Last Page

30746

Comments

Article. Record derived from SCOPUS.

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