| 引用本文: | 周领,吴金远,王丰,刘静,卢坤铭.抽水蓄能电站水力瞬变的有限体积法建模模拟[J].哈尔滨工业大学学报,2022,54(6):79.DOI:10.11918/202101057 |
| ZHOU Ling,WU Jinyuan,WANG Feng,LIU Jing,LU Kunming.Numerical simulation of hydraulic transients in pumped storage power station with finite volume method[J].Journal of Harbin Institute of Technology,2022,54(6):79.DOI:10.11918/202101057 |
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| 抽水蓄能电站水力瞬变的有限体积法建模模拟 |
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周领1,吴金远1,王丰2,刘静1,卢坤铭3
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(1.河海大学 水利水电学院,南京 210098;2.扬州大学 水利科学与工程学院,江苏 扬州 225009; 3.中国三峡建工(集团)有限公司,成都 610041)
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| 摘要: |
| 针对抽水蓄能电站管道内水力瞬变问题,采用二阶有限体积法（Finite Volume Method, FVM）Godunov格式进行数值建模和模拟。首先根据有限体积法将数学模型的控制方程进行离散,采用Riemann求解器进行通量计算。为了得到二阶精度的Godunov格式,避免数据重构时产生虚假振荡,引入并分析比较了3种不同的斜率限制器。机组全特性曲线采用改进的Suter变换,在边界处加入虚拟边界,并与机组边界控制方程相结合,实现了管道内部控制体与边界处计算的统一性。将本研究所建数学模型计算结果与传统特征线法（Method of Characteristics, MOC）计算结果、实测值进行对比,并分析了相关参数的敏感性。结果表明:在库朗数等于1时,二阶FVM与MOC计算结果相同,当库朗数小于1时,FVM计算结果比MOC更准确、更稳定;针对抽蓄机组甩负荷过程,二阶FVM的机组转速计算值与实测值基本吻合,且比MOC计算结果更接近实测值;在抽水蓄能电站水力瞬变计算中,MOC需要对不同特性的管道内水锤波速进行调整,不仅增加计算复杂性,也会产生计算误差；而FVM只需降低库朗数,计算简单方便,且精度更高。因此,本研究提供了一种稳定、精确的水力瞬变计算方法。 |
| 关键词: 抽水蓄能水电站 有限体积法 Godunov格式 特征线法 水力瞬变 |
| DOI：10.11918/202101057 |
| 分类号:TV143.1 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(6,8)；霍英东教育基金会青年教师基金(161068) |
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| Numerical simulation of hydraulic transients in pumped storage power station with finite volume method |
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ZHOU Ling1,WU Jinyuan1,WANG Feng2,LIU Jing1,LU Kunming3
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(1.College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098,China; 2.College of Hydraulic Science and Engineering, Yangzhou University, Yangzhou 225009, Jiangsu, China; 3.China Three Gorges Construction Engineering Corporation, Chengdu 610041, China)
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| Abstract: |
| The second-order finite volume method (FVM) Godunov scheme was adopted to investigate the hydraulic transients in pumped storage power station. Firstly, the governing equations of mathematical model were discretized according to FVM, and the flux was calculated by Riemann solver. Three slope limiters were introduced and compared to avoid spurious oscillations during data reconstruction. The whole characteristic curves of the unit were transformed by using improved Suter approach. The virtual-boundary approach combined with the governing equations of the unit was presented to achieve a unified computation scheme for all the control volumes at internal domain and boundaries. The results calculated by the proposed scheme were compared with those of method of characteristics (MOC) scheme and measured data, and parameter sensitivity was discussed. Results show that when Courant number was equal to 1, the second-order FVM and MOC had the same accuracy; when Courant number was less than 1, the second-order FVM was more accurate and stable than MOC. During load rejection process of pumped storage station, the unit speed calculated by second-order FVM was basically consistent with the measured value and more accurate than that predicted by MOC. For the calculation of hydraulic transients in pumped storage power station, the values of wave speed in pipe sections with different properties should be adjusted to realize MOC simulations, resulting in computation complexity and numerical errors. While FVM is simpler in computation with higher accuracy, which only requires reducing the Courant number. Therefore, the proposed numerical approach is stable and accurate for hydraulic transients. |
| Key words: pumped storage power station finite volume method (FVM) Godunov scheme method of characteristics (MOC) hydraulic transients |
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