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首页> 外文期刊>International journal of nonlinear sciences and numerical simulation >Self-excited Oscillations and Fuel Control of a Combustion Process in a Rijke Tube
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Self-excited Oscillations and Fuel Control of a Combustion Process in a Rijke Tube

机译：Rijke管中燃烧过程的自激振荡和燃料控制

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摘要

This paper treats the control of nonstationary oscillations of the pressure which arise in the combustion process of a Rijke tube. The low order model of a nonstationary combustion process in a Rijke tube with multiplicative feedback control function is considered, which is investigated by means of two-DOF coupled van der Pol oscillator. The self-excited oscillations in the combustion process are analysed by means of the Extended Lindstedt-Poincare (EL-P) method with multiple time scales. By applying the EL-P method, it is ascertained, that nonstationary oscillations are almost periodic with amplitude and phase, which are functions of the slow time scale. Without control of the fuel influx, the self excited oscillations can approach limit cycles. By applying the fuel control, the influence of control parameters on the quenching of the self excited oscillations is investigated in a phenomenon of competitive quenching and mutual synchronization with close frequencies and multiple harmonics, respectively.
机译：本文处理了在Rijke管燃烧过程中产生的压力非平稳振荡的控制问题。考虑了具有倍增反馈控制功能的Rijke管中非平稳燃烧过程的低阶模型，该模型通过两自由度耦合的范德波尔振荡器进行研究。燃烧过程中的自激振荡通过具有多个时间尺度的扩展Lindstedt-Poincare（EL-P）方法进行分析。通过采用EL-P方法，可以确定非平稳振荡几乎是周期性的，振幅和相位都是周期性的，这是慢时标的函数。在不控制燃料流入的情况下，自激振荡可能会接近极限循环。通过应用燃料控制，研究了控制参数对自激振荡的猝灭的影响，该现象分别是竞争性猝灭和具有接近频率和多次谐波的相互同步现象。

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