Sensitivity analysis of a time-delayed thermo-acoustic system via an adjoint-based approach
Sensitivity analysis of a time-delayed thermo-acoustic system via an adjoint-based approach
复制标题
通过基于伴随的方法对时滞热声系统进行灵敏度分析
DOI：
10.1017/jfm.2012.639
复制
发表时间：
2013
影响因子：
3.7
通讯作者：
M. Juniper
中科院分区：
文献类型：
--
作者：
L. Magri;M. Juniper
摘要我们将基于伴随的灵敏度分析应用于一个时滞热声系统：一个含有热线的Rijke管。我们计算了系统中一般的被动控制元件(结构灵敏度分析)或其基态的一般变化(基态灵敏度分析)如何影响关于基态的小振荡的增长率和频率。我们通过计算具有较小放热参数的第二根热线的影响来说明结构的敏感性。在一次计算中，它显示了第二根热线如何随着它在管子中的位置而改变小振荡的增长速度和频率。然后，我们考察了结构敏感度的成分，以确定对增长率影响最大的被动控制机制。我们发现，声动量方程中与瞬时速度方向相反的作用力是最稳定的反馈机制。我们还发现，当它被放置在管子的下游端时，其效果最大。例如，这种反馈机制可以由绝热网格提供。我们通过计算阻尼因子、热释放时滞系数、热释放参数和热线位置的微小变化来说明基态灵敏度。灵敏度分析在热声学中的成功应用为热声振荡的被动控制开辟了新的可能性，它提供了梯度信息，可以与约束优化算法相结合，以降低线性增长率。
Abstract We apply adjoint-based sensitivity analysis to a time-delayed thermo-acoustic system: a Rijke tube containing a hot wire. We calculate how the growth rate and frequency of small oscillations about a base state are affected either by a generic passive control element in the system (the structural sensitivity analysis) or by a generic change to its base state (the base-state sensitivity analysis). We illustrate the structural sensitivity by calculating the effect of a second hot wire with a small heat-release parameter. In a single calculation, this shows how the second hot wire changes the growth rate and frequency of the small oscillations, as a function of its position in the tube. We then examine the components of the structural sensitivity in order to determine the passive control mechanism that has the strongest influence on the growth rate. We find that a force applied to the acoustic momentum equation in the opposite direction to the instantaneous velocity is the most stabilizing feedback mechanism. We also find that its effect is maximized when it is placed at the downstream end of the tube. This feedback mechanism could be supplied, for example, by an adiabatic mesh. We illustrate the base-state sensitivity by calculating the effects of small variations in the damping factor, the heat-release time-delay coefficient, the heat-release parameter, and the hot-wire location. The successful application of sensitivity analysis to thermo-acoustics opens up new possibilities for the passive control of thermo-acoustic oscillations by providing gradient information that can be combined with constrained optimization algorithms in order to reduce linear growth rates.
影响因子：
3.7
作者：
Juniper, Matthew P.
通讯作者：
Juniper, Matthew P.