High Order and A-Stable Envelope Following Method for Transient Simulations of Oscillatory Circuits

Author

Farhan, M.A. ; Gad, E. ; Nakhla, M.S. ; Achar, R.

Author_Institution

Dept. of Electron., Carleton Univ., Ottawa, ON, Canada

Volume

62

Issue

12

fYear

2014

fDate

Dec. 2014

Firstpage

3309

Lastpage

3317

Abstract

A new enveloped following (EF) method based on high-order Obreshkov integration formula is presented. The new method is suitable for transient analysis of highly oscillatory circuits with widely separated time-scales. In addition, the proposed algorithm is capable of producing high-order numerically stable approximation of the transient response. The use of high-order formulas leads to a significant reduction in the computational time compared to low-order EF methods because it allows taking large steps in time while keeping the same accuracy.

Keywords

approximation theory; circuit oscillations; circuit stability; integration; numerical stability; transient response; high order A-stable envelope following method; high-order Obreshkov integration formula; high-order numerically stable approximation; low-order EF method; oscillatory circuit; time-scale; transient analysis; transient response; transient simulation method; Approximation methods; Computational modeling; Integrated circuit modeling; Jacobian matrices; Numerical stability; Transient analysis; Vectors; Envelope following (EF) methods; high-order stable methods; oscillatory circuits analysis; simulation of microwave structures; time-domain simulation;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2014.2365177

Filename

6954528