李亚普诺夫稳定性理论在水电站调压室水位波动稳定性问题中的应用  

The extending application of Ляпунов′s Stability Theory in the subject of water level oscillating stability in the surge tank

作　　者：杨玲霞[1] 

机构地区：[1]郑州工业大学水环学院,郑州450002

出　　处：《水利学报》1999年第9期33-37,共5页Journal of Hydraulic Engineering

摘　　要：第二方法讨论水电站调压室水位波动稳定性问题的过程中， 通过对所构造的李亚普诺夫函数 Ｖ （ｘ） 所代表的物理意义进行分析， 认为李亚普诺夫稳定性判别条件过于苛刻． 本文提出了拓宽后 的稳定性判别条件， 并应用于水电站调压室水位波动稳定性问题的研究． 其结果与数值计算结果吻合较好．Throught the analysis of the physical meaning represented by Ляпунов function being constructed, this paper considers that Ляпунов′s stability judgement terms are too harsh on the discussion of water level oscillating stability in the surge tank of water power station. The developed stability judgement terms are provided and applied in the study on the water level oscillating stability. The results of the study is in good agreement with the numerical calculation.

关 键 词：定性理论 稳定性 调压室 稳定断面 水位波动 

分 类 号：TV134[水利工程—水力学及河流动力学]