This work presents a data-driven optimization technique for the optimization of the flame response within a low-order acoustic network model. The methodology exploits the Nyquist criterion to compute a measure of thermoacoustic robustness at targeted frequencies, which serves as an objective value for the optimized system. The method is demonstrated using a simple Rijke tube model coupled with a [Formula: see text]-equation solver to model flame dynamics. The approach is shown to efficiently increase the stability margin of the system by modifying the flame transfer function. The methodology is applied to two examples, based on which possible scenarios are discussed and the potential and limitations associated with the practical implementation of the method are analyzed.

中文翻译：

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稳健热声系统的火焰传递函数成形：在运动火焰模型中的应用

这项工作提出了一种数据驱动的优化技术，用于优化低阶声网络模型中的火焰响应。该方法利用奈奎斯特准则来计算目标频率下的热声鲁棒性测量值，作为优化系统的客观值。该方法通过使用简单的 Rijke 管模型和[公式：参见文本]方程求解器来模拟火焰动力学来演示。该方法被证明可以通过修改火焰传递函数来有效地提高系统的稳定性裕度。该方法应用于两个示例，在此基础上讨论了可能的场景，并分析了与该方法的实际实施相关的潜力和局限性。