Active control of nonlinear pressure oscillations in combustion chambers
Active control of nonlinear pressure oscillations in combustion chambers
复制标题
燃烧室非线性压力振荡的主动控制
DOI：
10.2514/3.11474
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发表时间：
1991
影响因子：
1.9
通讯作者：
V. Yang
中科院分区：
文献类型：
--
作者：
Y. Fung;V. Yang
本文对燃烧室非线性声学不稳定性的主动控制进行了理论分析。该公式从广义波动方程开始，描述了具有分布反馈作用的二阶非线性振荡的动力学行为。控制输入由燃烧室中喷射的第二燃料提供，其瞬时质量流率由位于压力传感器和燃料喷射机构之间的比例积分（PI）控制器调制。各种非线性稳定性特征，包括极限环的存在性和稳定性，分析研究使用时间平均的方法。此外，一个优化程序的开发用于选择控制器增益。a =混合物中的声速Bnij =与非线性声耦合相关的参数B =控制燃料燃烧的空间分布，方程式(5b)Cv -两相混合物的定容比热c =传感器输出的放大系数Dni =线性参数，方程(11)Eni =线性参数，等式(11)e -期望响应和实际测量之间的误差信号
A theoretical analysis of active control of nonlinear acoustic instabilities in combustion chambers is developed in this article. The formulation starts with a generalized wave equation that describes the dynamic behavior of second-order nonlinear oscillations with distributed feedback actions. Control inputs are provided by the burning of the injected seconday fuel in the chamber, with its instantaneous mass flow rate modulated by a proportionalplus-integral (PI) controller located between the pressure sensor and the fuel injection mechanism. Various nonlinear stability characteristics, including the existence and stability of limit cycles, are studied analytically using the method of time averaging. In addition, an optimization procedure is developed for selecting controller gains. Nomenclature Anij = parameters associated with nonlinear acoustic coupling a = speed of sound in mixture Bnij = parameters associated with nonlinear acoustic coupling b = spatial distribution of burning of control fuel, Eq. (5b), Cv - constant-volume specific heat for two-phase mixture c = amplification factor of sensor output Dni = linear parameters, Eq. (11) Eni = linear parameters, Eq. (11) e - error signal between desired response and actual measurement