151. Stability and Control of a Thermoacoustic Device: The Rijke’s Tube
- Author
-
Nejat Olgac, Umut Zalluhoglu, and Ayhan S. Kammer
- Subjects
Physics ,Intersection (set theory) ,Simple (abstract algebra) ,Stability (learning theory) ,Benchmark (computing) ,Control engineering ,Control (linguistics) ,Representation (mathematics) ,Instability ,Thermoacoustic instability - Abstract
This study presents an intersection of two seemingly separate areas of research frontiers, “prediction and control of thermoacoustic instability” and “stability analysis of neutral-class linear-time-invariant (LTI) and time-delayed systems (TDS)”. The former is a coveted capability which has been elusive to the scientific community over 1½ centuries. Analytical capabilities have been limited due to the complex physics invoking the “combustion” phenomenon. Most available results rely on accumulated empirical knowledge. In this paper we consider a benchmark combustion test platform, which is known as Rijke’s tube. Its representation is simplified to an LTI neutral TDS, stability of which is assessed using a recent mathematical paradigm called the Cluster Treatment of Characteristic Roots (CTCR). CTCR provides a unique non-conservative and exhaustive stability declaration for a Rijke’s tube within the space of its parameters, naturally, under some simplifying assumptions. For those operating conditions which induce instability, we also propose a conventional and simple control strategy which can recover stability. This method is also analyzed using the CTCR paradigm for the first time.Copyright © 2014 by ASME
- Published
- 2014
- Full Text
- View/download PDF