EAGER: Prediction and Control Of Thermo-Acoustic Instability

热声不稳定性会扰乱燃气轮机燃烧室的运行。对这些不稳定性的研究是燃烧科学中一个长期存在的问题，目前仍在广泛研究，以更好地了解发电系统及其设计和运行。这个跨学科的项目通过使用为分析具有多个时间延迟的动态系统而开发的数学工具来解决热声不稳定性的预测。该项目将解决利用分析中立型时滞系统的工具来预测热声不稳定性的重要问题。这种方法在动力学的参数空间中为所研究的特定类型的系统提供了稳定映射的精确和详尽的描述。本项目将把这一工具专门用于热声方程，以便为预测燃烧室中的不稳定性创造新的设计工具。在这项研究中，将以一个简单的基准燃烧室--Rijke管作为测试平台，以验证该项目的数学范式的有效性。

Thermoacoustic instability can disrupt the operation of gas turbine combustors. The study of these instabilities is a long-standing problem in combustion science, that is still widely investigated towards a better understanding of power generation systems, and their design and operations. This interdisciplinary project addresses the prediction of thermoacoustic instability by using mathematical tools developed for the analysis of dynamic systems with multiple time delays. This project will attack the important problem of predicting thermoacoustic instability using tools for the analysis of neutral time delayed systems. This approach provides exact and exhaustive descriptions of stability maps for the particular class of systems under study in the parametric space of the dynamics. This project will specialize this tool to the equations of thermoacoustics in order to create new design tools for the prediction of instability in combustors. A simple benchmark combustor, called the Rijke's tube, will be taken as the test platform during this research, in order to demonstrate the validity of the project's mathematical paradigm.