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Nonlinear Interactions Between the Fundamental and Higher Harmonics of Self-Excited Combustion Instabilities

机译：自激燃烧不稳定性的基本和高次谐波之间的非线性相互作用

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Measurements of self-excited combustion instability were performed in a lean-premixed, swirl-stabilized, gas turbine combustor in order to characterize the interaction between the fundamental and higher harmonics of dynamic pressure, heat release rate, and acoustic velocity perturbations. The formation of higher harmonics, their interactions with the fundamental, and the influence of these interactions on nonlinear combustion processes are highlighted in this article. A detailed analysis of the fundamental and higher harmonics of the pressure signal reveals that for a small amplitude disturbance the second harmonic of the pressure signal is governed by a quadratic function. For high amplitude disturbances, the measured data deviate from the power law dependence; this is a manifestation of nonlinear energy transfer toward higher harmonic components. The disturbance amplitude at which the inception of the non-quadratic dependence occurs coincides with the transition from linear to nonlinear heat release response. In particular, the higher harmonic characteristics are significantly altered by varying swirler location, which is known as a primary source of vortical disturbance in swirl-stabilized combustion systems. As a result, for certain inlet conditions, the amplitude of the higher harmonic of acoustic velocity is even higher than the amplitude of the fundamental, and this leads to multiple-frequency excitation. The system then evolves toward a periodic state that is completely different from that of a system with single frequency excitation.
机译：在稀薄预混，涡旋稳定的燃气轮机燃烧室中进行了自激燃烧不稳定性的测量，以表征动压，放热率和声速扰动的基波和高次谐波之间的相互作用。本文重点介绍了高次谐波的形成，它们与基波的相互作用以及这些相互作用对非线性燃烧过程的影响。对压力信号的基波和高次谐波的详细分析表明，对于较小的幅度扰动，压力信号的二次谐波由二次函数控制。对于高振幅干扰，测得的数据偏离了幂定律的相关性。这是非线性能量向高次谐波分量传递的一种表现。发生非二次依赖的扰动幅度与从线性到非线性放热响应的过渡相一致。尤其是，通过改变旋流器的位置可以显着地改变高次谐波特性，旋流器的位置被公认为稳定涡旋燃烧系统中涡旋干扰的主要来源。结果，对于某些入口条件，声速的高次谐波的幅度甚至高于基频的幅度，这导致了多频激励。然后，系统向周期性状态发展，该周期状态与具有单频激励的系统完全不同。

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