Title :
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
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;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2014.2365177
