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为解决上游串联双调压室系统中调压室稳定断面面积设计的问题,基于托马假定,推导了串联双调压室系统的特征方程,根据霍尔维茨稳定判据得出了上游串联双调压室系统调压室临界断面面积的稳定域,并分析了串联双调压室系统稳定域的变化规律。结果表明,串联双调压室系统稳定域边界线由两条交于一个拐点的曲线组成,在拐点处靠近机组的调压室有最小临界稳定断面面积。最后,推导得出了串联双调压室系统稳定域边界线拐点的解析计算公式,提出了串联双调压室系统调压室临界断面面积的设计原则,为串联双调压室系统调压室临界断面面积的计算提供了理论依据。
In order to solve the problem of the design of the stable cross-sectional area of the surge chamber in the upstream tandem dual surge tank system, the eigenvalue equation of the tandem dual surge tank system was deduced based on the assumption of Tomah. Based on the Horvitz stability criterion, the upstream tandem The stable region of the critical cross-sectional area of the double surge chamber system and the analysis of the variation of the stable region of the double surge chamber. The results show that the stability boundary of tandem dual surge tank system consists of two curves which are intersected by one inflection point, and the minimum critical stable cross-sectional area of the surge chamber near the inflection point at the inflection point. Finally, the analytical formula of the inflection point of the boundary of the stability zone of the dual surge tank system is deduced. The design principle of the critical cross-sectional area of the surge tank in the tandem dual surge tank system is put forward. The calculation of the critical cross-sectional area provides the theoretical basis.