New applications of harmonic balance analysis

✍ Scribed by Odyniec, Michal ;Overstreet, William

• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 842 KB
• Volume: 5
• Category: Article
• ISSN: 1050-1827
• DOI: 10.1002/mmce.4570050309

✦ Synopsis

This article shows how the theory of averaging extends applications of harmonic balance analysis. Two examples are given: (i) a new approach to high-Q oscillators, which results in an analysis of slowly varying envelope of oscillations rather than the oscillations themselves; and (ii) a rigorous analysis of frequency lock and of stability of multiple solutions in synchronized oscillators. Both results can be directly applied to diode and transistor oscillators and can also serve as benchmarks in testing nonlinear simulators. 0 1995 John Wiley & Sons, Inc.

1. Introduction

This article applies the method of averaging [l, 31, and that of harmonic balance to simulation of strongly nonlinear high-Q circuits. In section 2 we introduce the concept of a large signal RF characteristics M a ) . We use it in section 3 to determine the amplitude and stability of free-running oscillations, the envelope of rising oscillations, and to estimate their start-time. In section 4 we apply N ( a ) to analysis of a locked oscillator. The Appendix provides theorems on averaging on which our analysis is based.