| 龚涛,张健,龚奕斌,陈胜,刘熠.基于特征值分析法的含双调压室抽水蓄能电站小波动稳定分析[J].水利学报,2023,54(5):621-632 |
| 基于特征值分析法的含双调压室抽水蓄能电站小波动稳定分析 |
| Small fluctuation stability analysis of pumped storage power station with double surge chambers based on eigenvalue analysis |
| 投稿时间：2022-11-20 |
| DOI：10.13243/j.cnki.slxb.20220952 |
| 中文关键词: 抽水蓄能电站 上、下游双调压室 小波动 特征值 系统稳定性 |
| 英文关键词: pumped storage power station upstream and downstream double surge chambers small fluctuation eigenvalue stability of system |
| 基金项目:国家自然科学基金项目(51879087，51839008) |
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| 中文摘要: |
| 为研究含上、下游双调压室的抽水蓄能电站输水发电系统小波动稳定性，基于状态空间法推导了系统稳定分析的状态矩阵方程，运用相关因子分析法确定了系统的特征值与状态变量的对应关系，结合状态矩阵特征值研究了系统小波动振荡特性。结果表明：状态矩阵特征值存在4对共轭复根，表明系统存在4个振荡环节，共轭复根实部反映了振荡环节的衰减趋势，虚部反映了系统振荡环节的振荡角频率；上、下游调压室内水位波动共同引起机组转速尾波低频振荡，增大两调压室面积可以降低转速尾波振荡角频率，增加尾波振荡衰减指数，有利于系统低频振荡稳定性；系统小波动振荡稳定性与调速器参数密切相关，较小调速器参数组合导致导叶开度变化和压力管道流量变化之间产生相位差，在调节过程中不断放大，系统振荡失稳，增大调速器参数可以增大机组转速主波振荡衰减指数，降低主波振荡角频率，提高系统高频振荡稳定性。 |
| 英文摘要: |
| In order to study the small fluctuation stability of the water transmission and power generation system of pumped storage power station with upstream and downstream double surge chambers，the state matrix equation describing the system stability was established based on the state space method.The corresponding relationship between the eigenvalues and the state variables was obtained by the correlation factor analysis method，and the small fluctuation oscillation stability of the system was analyzed by the matrix eigenvalues.The results show that there are four pairs of conjugate complex roots in the state matrix，that is，there are four oscillation links in the system.The real part of the conjugate complex roots reflects the attenuation trend of the oscillation link，and the imaginary part reflects the angular frequency of the oscillation link.The water level fluctuation in the upper and downstream surge chambers can cause low-frequency tail-wave oscillation of the unit speed.Increasing the area of two surge chambers can reduce the angular frequency of tail-wave oscillation and increase the attenuation index of tail-wave oscillation，which is beneficial to the stability of low-frequency oscillation of the system.The system oscillation stability of small fluctuations is closely related to the governor parameters，and the combination of small governor parameters leads to the phase difference between the change of guide vane opening and the change of pressure pipeline flow rate，which is constantly amplified in the adjustment process and the system oscillation becomes instability.The increase of governor parameters can increase the main wave oscillation attenuation index of the speed，reduce the main wave oscillation angular frequency，and improve the system high-frequency oscillation stability. |
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