Formulation of the Obreshkov-Based Transient Circuit Simulator in the Presence of Nonlinear Memory Elements

Author

Yaoyao Lin ; Gad, E.

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Univ. of Ottawa, Ottawa, ON, Canada

Volume

34

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

86

Lastpage

94

Abstract

The high-order A- and L-stable Obreshkov-based method was recently proposed for simulating the transient response of general nonlinear circuits in the time-domain. This method has consistently resulted in more than one order-of-magnitude speedup compared with the traditional methods used in the SPICE engine. Nonetheless, the formulation of this Obreshkov-based approach assumed that the memory elements in the circuits are characterized by a linear constituent equation. The goal of this paper is to generalize this approach to handle memory elements that are described by nonlinear constituent equations.

Keywords

circuit simulation; differential equations; semiconductor storage; time-domain analysis; transient response; Obreshkov-based transient circuit simulator; SPICE engine; general nonlinear circuits; linear constituent equation; nonlinear memory elements; order-of-magnitude; transient response; Approximation methods; Equations; Jacobian matrices; Mathematical model; Numerical stability; Sparse matrices; Vectors; $A$ -stability; $L$ -stability; A-stability; Circuit Simulation; High-Order Integration Methods; L-Stability; Numerical Solution of Differential Equations; circuit simulation; high-order integration methods; nonlinear memory elements; nonlinear memory elements.; numerical solution of differential equations;

fLanguage

English

Journal_Title

Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0278-0070

Type

jour

DOI

10.1109/TCAD.2014.2364974

Filename

6935006