A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems

A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems
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研究热声系统非正态效应的离散时间、状态空间方法

DOI:
10.1260/1756-8277.3.4.331
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发表时间:
2011
影响因子:
1.6
通讯作者:
W. Polifke
W. Polifke
中科院分区:
工程技术4区
文献类型:
--
作者:
H. Mangesius;W. Polifke

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提出了一种基于节点特征波幅值的热声系统低阶状态空间建模方法。该方法允许模拟系统状态的时间演化,但也有效地计算的(伪)谱的演化算子。通过与频域“网络模型”的比较,证明了本征模和渐近线性稳定性的预测是正确的。探讨了各种模型参数(下游反射系数、热源温度比、热源时间延迟的大小和分布)对扰动能量瞬态增长的影响。本文的讨论仅限于简单的测试用例,但该方法可以推广到具有非平凡拓扑结构的系统。
A low-order, state-space modeling approach for thermoacoustic systems has been developed, which is based on present and past values of nodal characteristic wave amplitudes. The method allows to simulate the time evolution of the system state, but also the efficient computation of the (pseudo-)spectrum of the evolution operator. It is demonstrated by comparison with a frequency-domain “network model” that eigenmodes and asymptotic linear stability are predicted correctly. The influence of various model parameters (downstream reflection coefficient, temperature ratio across the heat source, magnitude and spread of heat source time delays) on transient growth of perturbation energy is explored. The discussion in the present paper is limited to simple test cases, but the approach can be generalized to systems with non-trivial topology.
DOI: 10.1017/s0022112010004453
发表时间: 2011-01-25
影响因子: 3.7
作者:
Juniper, Matthew P.
通讯作者: Juniper, Matthew P.