中文摘要：

结合长引水式水电站运行过程中经常发生并会造成破坏的水力振动问题，特别针对长有压输水系统的水力振动进行数值计算分析，提出了水力振动分析阶数的选择方法，结合模型试验及试验成果的功率谱分析，进一步研究探讨长有压输水系统的频率特性。数值分析和试验研究表明，需要分析和掌握长有压输水系统较高阶的水力振动特性，特别是相应频率位于功率谱主导频率范围之内的水力振动特性，为避免和降低水力振动的危害性提供依据。

英文摘要：

Due to the hydraulic vibration problems that occur frequently and often cause damage to long diversion-type hydropower stations, especially to the hydraulic vibration of long pressurized piping systems, a deep numerical calculation analysis is carried out. The method of deciding on reasonable orders for hydraulic vibration analysis is provided. The frequency characteristic of long pwessurized pipelines is discussed further through power spectrum analysis of the model test results. The results of numerical analysis and experimental research indicate that, to avoid and reduce the damage of hydraulic vibration, higher hydraulic vibration characteristics of long pressurized pipelines should be analyzed, especially those with frequencies located in the dominant frequency range of the power spectrum figure.