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本文运用控制理论中的多变量频域法来研究带或不带横向联通管的并联多通道两相流动系统的密度波型脉动。根据多变量系统的反馈概念,对系统的反馈机制进行了分析。考虑了平行通道内部的反馈和外回路的耦合效应及其对系统传递矩阵的影响。建立了带横向联通的平行管沸腾系统的多输入多输出传递矩阵的一般结构形式和数学表达式,进而导出了闭环系统的特征方程。在此基础上,根据控制理论得到了判断平行通道两相流动系统渐近稳定的充分必要条件,并利用多变量频域法中的Nyquist稳定性定理来分析系统的稳定性。
In this paper, multivariable frequency domain method in control theory is used to study the density wave-like pulsations of a parallel multi-channel two-phase flow system with or without lateral manifolds. According to the feedback concept of multivariable system, the feedback mechanism of the system is analyzed. Consider the coupling effect of the feedback and the external loop inside the parallel channel and its influence on the system transfer matrix. The general structure and mathematical expressions of multi-input multi-output transfer matrices for a parallel tube boiling system with lateral cross-links are established, and the eigenvalues of the closed-loop system are derived. On this basis, according to the control theory, the necessary and sufficient conditions for judging the asymptotic stability of the two-phase flow system in parallel channels are obtained, and the stability of the system is analyzed by the Nyquist stability theorem in multivariable frequency domain method.