Article(id=1223201271369286073, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1223201250133524577, articleNumber=null, orderNo=null, doi=10.20040/j.cnki.1000-7709.2023.20221706, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1660665600000, receivedDateStr=2022-08-17, revisedDate=1663084800000, revisedDateStr=2022-09-14, acceptedDate=null, acceptedDateStr=null, onlineDate=1769563509075, onlineDateStr=2026-01-28, pubDate=1690214400000, pubDateStr=2023-07-25, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1769563509075, onlineIssueDateStr=2026-01-28, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1769563509075, creator=13701087609, updateTime=1769563509075, updator=13701087609, issue=Issue{id=1223201250133524577, tenantId=1146029695717560320, journalId=1205116964453384197, year='2023', volume='41', issue='7', pageStart='1', pageEnd='220', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1769563504012, creator=13701087609, updateTime=1769563583713, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1223201584469885927, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1223201250133524577, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1223201584469885928, tenantId=1146029695717560320, journalId=1205116964453384197, issueId=1223201250133524577, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=197, endPage=200, ext={EN=ArticleExt(id=1223201271700636122, articleId=1223201271369286073, tenantId=1146029695717560320, journalId=1205116964453384197, language=EN, title=Study on Vortex Zone of Draft Tube and Improvement Measures of Francis Turbine, columnId=1222925284869922957, journalTitle=Water Resources and Power, columnName=ELECTROMECHANICS AND CONTROL ENGINEERING, runingTitle=null, highlight=null, articleAbstract=

Due to the long-term operation in the low-load area, the hydropower unit deviates from the optimal operation area, resulting in large vibration of the unit, poor flow state of water flow, and other adverse consequences, such as cracks in runner blades and serious cavitation of the unit. In view of the complex flow conditions in the draft tube, this paper proposes two improvement schemes. Based on RANS equation, the standard SST κ-ω turbulence model is adopted to calculate the steady and unsteady solutions for three operating conditions of 0.45P_r(P_r is rated output), 0.60P_r, and 0.75P_r. The results show that the installation of the guiding device can effectively reduce the eccentric vortex band of the draft tube, and greatly reduce the pressure pulsation amplitude, so as to reduce the vibration of the unit. Considering the streamline of draft tube, vortex zone of draft pipe, turbine efficiency and pressure pulsation amplitude, especially the importance of pressure pulsation intensity to the stable operation of the turbine, it is concluded that the symmetrical arrangement of two diversion plates at the inlet of the draft tube has the better improvement effect on the Francis turbine. The results provide a certain theoretical basis for the safe operation of the hydraulic turbine unit under low load.

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水电机组长期运行在偏离最优运行区域的低负荷区会产生机组振动大、水流流态不良等情况，从而导致转轮叶片出现裂纹、机组汽蚀严重等不良后果。针对尾水管内复杂的流动状况，提出了两种型式的导流装置改进方案，基于雷诺时均N-S方程，采用标准SST κ-ω湍流模型，对0.45P_r（P_r为额定出力）、0.60P_r、0.75P_r三种工况进行定常和非定常求解计算。结果表明，安装导流装置可有效削减尾水管的偏心涡带，且大幅降低压力脉动振幅，从而减小机组的振动。综合尾水管流线、尾水管涡带、水轮机效率及压力脉动幅值，尤其是压力脉动的强弱对水轮机稳定运行的重要性，最终认为两种方案中，在尾水管进口处对称布置两块导流板对该混流式水轮机改善效果更好。研究结果为混流式水轮机组低负荷安全运行提供一定的理论基础。

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吴在强（1989-），男，工程师，研究方向为水电机组调试与状态评价，E-mail：wzqtxwd@126.com

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吴在强（1989-），男，工程师，研究方向为水电机组调试与状态评价，E-mail：wzqtxwd@126.com

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