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采用传递矩阵法和频率扫描法,分析了管道泄漏对系统频率响应图的影响,以及频响图变化形态与泄漏点位置和泄漏面积参数之间的关系。在此基础上,介绍了基于管道瞬变流频响分析进行泄漏检测的步骤,并进行了数值试验验证。结果表明:1与完整管道相比,泄漏点的存在使系统频响图中各奇次谐波和偶次谐波的幅值均不再保持定值,而是随着谐波次数的不同呈现周期性的变化;2奇次谐波幅值随谐波次数周期性变化的主频率及相位反映了泄漏点位置,而该主频率所对应的幅值则反映了泄漏面积参数,据此可进行管道泄漏的检测;3数值试验结果表明基于瞬变流频率响应分析进行输水管道泄漏检测是可行的,且在泄漏孔面积占主管道面积比例较小的条件下,水锤波传播速度变化对检测结果的影响很小。
The influence of pipeline leakage on the system frequency response diagram and the relationship between the change pattern of the frequency response diagram and the location of the leakage point and the leakage area parameters are analyzed by using transfer matrix method and frequency scanning method. On this basis, the steps of leakage detection based on transient analysis of pipeline transient flow are introduced and verified by numerical experiments. The results show that: 1 Compared with the complete pipeline, the existence of the leakage point makes the magnitude of the odd harmonics and the even harmonics no longer maintain the fixed value in the frequency response diagram of the system, but appears with the different times of the harmonics Periodic changes; 2 The main frequency and phase of odd harmonic amplitude cyclical changes with the harmonic frequency reflects the location of the leak, and the corresponding amplitude of the main frequency reflects the leakage area parameters, according to which The results of numerical tests show that it is feasible to detect the water pipeline leakage based on the frequency response analysis of the transient flow and the variation of water hammer wave propagation speed under the condition that the proportion of the leakage hole area to the main pipeline area is small The impact of the test results is small.