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首页> 外文期刊>Combustion Science and Technology >A NEW PERSPECTIVE IN DESIGNING DELAYED FEEDBACK CONTROL FOR THERMO-ACOUSTIC INSTABILITIES (TAI)
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A NEW PERSPECTIVE IN DESIGNING DELAYED FEEDBACK CONTROL FOR THERMO-ACOUSTIC INSTABILITIES (TAI)

机译：热声不稳定性（TAI）延迟反馈控制设计的新视角

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This article suggests the deployment of a unique mathematical tool for assessing the thermo-acoustic instability (TAI) in a Rijke tube and proposes an analytical design strategy for its feedback control. A widely accepted characteristic of TAI is its time-delayed dynamics, which originate from the regenerative acoustic coupling terms. Linear systems theory has also evolved on similar classes of problems especially in recent years. This document offers a bridge between the two veins of research. We first review the analytical model of the TAI phenomenon, which renders a set of delayed differential equations. Then, we apply a new mathematical tool called the cluster treatment of characteristic roots (CTCR) paradigm on this dynamics. CTCR provides non-conservative and exhaustive stability predictions for this class of systems. This capability is employed for both uncontrolled and feedback-controlled Rijke tube structures. The findings are unique from two angles: (i) stability declarations are made in the parametric space of the system, such as geometric dimensions (much differently from the peer studies that are at best point-wise evaluations), and (ii) these declared sets of stable operating parameters are exhaustive (i.e., for a given system no other parametric selection can provide stability). These capabilities become crucial when designing thermoacoustically stable combustors as well as determining their operating conditions. As a highlight contribution in this article, for those operating conditions that induce instability, we offer a methodology to synthesize a feedback control law that can recover stability, again utilizing the CTCR paradigm. Example case studies and analytical justifications of these novelties are provided.
机译：本文建议使用一种独特的数学工具来评估Rijke管中的热声不稳定性（TAI），并提出一种用于反馈控制的分析设计策略。 TAI的一个广泛接受的特征是其延时的动力学，其源于再生声耦合项。线性系统理论也在类似问题上得到了发展，尤其是在最近几年。该文件在两个研究脉络之间架起了一座桥梁。我们首先回顾一下TAI现象的分析模型，该模型提供了一组时滞微分方程。然后，我们在这种动力学上应用了一种新的数学工具，称为特征根的聚类处理（CTCR）范例。 CTCR为此类系统提供非保守和详尽的稳定性预测。此功能可用于不受控制和受反馈控制的Rijke管结构。从两个角度来看，发现是唯一的：（i）在系统的参数空间中进行稳定性声明，例如几何尺寸（与最多进行逐点评估的同行研究大相径庭），以及（ii）声明这些声明稳定运行参数集是详尽无遗的（即，对于给定的系统，没有其他参数选择可以提供稳定性）。当设计热声稳定燃烧器并确定其运行条件时，这些功能至关重要。作为本文的重要贡献，对于那些引起不稳定性的操作条件，我们提供了一种方法，可以再次利用CTCR范式综合可以恢复稳定性的反馈控制律。提供了这些新颖性的示例案例研究和分析依据。

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