Article(id=1241686761915601004, tenantId=1146029695717560320, journalId=1227999626482147330, issueId=1241686759470329942, articleNumber=null, orderNo=null, doi=10.16579/j.issn.1001.9669.2025.09.019, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1748188800000, receivedDateStr=2025-05-26, revisedDate=null, revisedDateStr=null, acceptedDate=null, acceptedDateStr=null, onlineDate=1773970793465, onlineDateStr=2026-03-20, pubDate=1757865600000, pubDateStr=2025-09-15, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1773970793465, onlineIssueDateStr=2026-03-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1773970793465, creator=13701087609, updateTime=1773970793465, updator=13701087609, issue=Issue{id=1241686759470329942, tenantId=1146029695717560320, journalId=1227999626482147330, year='2025', volume='47', issue='9', pageStart='1', pageEnd='249', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1773970792882, creator=13701087609, updateTime=1773970911747, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1241687258093375901, tenantId=1146029695717560320, journalId=1227999626482147330, issueId=1241686759470329942, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1241687258093375902, tenantId=1146029695717560320, journalId=1227999626482147330, issueId=1241686759470329942, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=197, endPage=204, ext={EN=ArticleExt(id=1241686762133704819, articleId=1241686761915601004, tenantId=1146029695717560320, journalId=1227999626482147330, language=EN, title=Analysis and safety evaluation of steam turbine last stage blade vortex-induced response under deep peak shaving conditions, columnId=null, journalTitle=Journal of Mechanical Strength, columnName=null, runingTitle=null, highlight=null, articleAbstract=
To compensate for the intermittency of renewable energy generation, coal-fired power units are required to operate under low-load conditions over a long time, which causes the last stage blades of steam turbine low-pressure cylinders under small flow conditions persistently, leading to increased dynamic stresses and fatigue damage in the blades. To evaluate the safety of these last-stage blades, the fluid-structure interaction analysis of the last two-stage flow path and last stage rotating blades were conducted for a 660 MW air-cooled steam turbine under typical operating conditions. The results demonstrate that as the load decreases, both the maximum equivalent stress and deformation of the last stage rotating blades gradually diminish first, then slightly increasing. The maximum equivalent stress of the last stage rotating blades remains consistently below the material’s yield strength, indicating that the blades are in the stage of elastic deformation and no plastic deformation has occurred. Using the Goodman curve analysis method for the high-cycle fatigue life assessment of the last stage rotating blades, the dynamic stress levels of the last stage rotating blades fall within the safe zone of the Goodman curve,indicating that there is no risk of fatigue damage to the blades.
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为弥补新能源发电的间歇性,火电机组需长期低负荷运行,使汽轮机低压缸末级叶片持续处于小流量工况,导致叶片出现动应力增加与疲劳损伤等问题。为评估末级叶片的安全性,对某660 MW空冷汽轮机典型运行工况下低压缸末两级流道与末级动叶片进行流固耦合分析。结果表明,随着负荷的下降,末级动叶片的最大等效应力与变形先逐渐减小,后有所上升。末级动叶的最大等效应力始终低于叶片的屈服强度;叶片处于弹性变形阶段,未发生塑性变形。采用Goodman曲线分析方法对末级动叶的高周疲劳寿命进行评估,在Goodman曲线中,末级动叶片的动应力水平处于安全范围,表明叶片无疲劳损伤风险。
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1.School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China
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1.华东理工大学 机械与动力工程学院,上海 200237
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卞龙,男,2000年生,四川乐山人,硕士研究生;主要研究方向为高效灵活汽轮机设计技术;E-mail:bl3116126019@163.com。
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卞龙,男,2000年生,四川乐山人,硕士研究生;主要研究方向为高效灵活汽轮机设计技术;E-mail:bl3116126019@163.com。
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1.华东理工大学 机械与动力工程学院,上海 200237)])])], keywords=[Keyword(id=1241810800151695567, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, orderNo=1, keyword=Steam turbine), Keyword(id=1241810800248164565, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, orderNo=2, keyword=Last stage blade), Keyword(id=1241810800348827869, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, orderNo=3, keyword=Fluid-structure interaction), Keyword(id=1241810800445296866, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, orderNo=4, keyword=Typical operating condition), Keyword(id=1241810800529182951, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, orderNo=5, keyword=Safety assessment), Keyword(id=1241810800629846252, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, orderNo=1, keyword=汽轮机), Keyword(id=1241810800709538033, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, orderNo=2, keyword=末级叶片), Keyword(id=1241810800814395640, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, orderNo=3, keyword=流固耦合), Keyword(id=1241810800944419072, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, orderNo=4, keyword=典型运行工况), Keyword(id=1241810801045082376, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, orderNo=5, keyword=安全评估)], refs=[Reference(id=1241810804681544197, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, doi=null, pmid=null, pmcid=null, year=2018, volume=47, issue=5, pageStart=89, pageEnd=94, url=null, language=null, rfNumber=[1], rfOrder=0, authorNames=吴瑞康, 华敏, 秦攀, journalName=热力发电, refType=null, unstructuredReference=吴瑞康,华敏,秦攀,
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2.东方电气集团东方汽轮机有限公司,德阳 618000)])], figs=[ArticleFig(id=1241810801347072278, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.1, caption=
Schematic diagram of the last two-stage flow channel mesh model, figureFileSmall=jb5rdrYSUWCIMtT9Me58Fw==, figureFileBig=+K/M9lh34PvdaKRjJ0vNsw==, tableContent=null), ArticleFig(id=1241810801443541280, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图1, caption=
末两级流道网格模型示意图, figureFileSmall=jb5rdrYSUWCIMtT9Me58Fw==, figureFileBig=+K/M9lh34PvdaKRjJ0vNsw==, tableContent=null), ArticleFig(id=1241810801590341925, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.2, caption=
Calculation meshes of last stage blade, figureFileSmall=IyPwGkpXe/Tt9PKHMRvI/Q==, figureFileBig=2fUkVM3CAKhIMj1F1+u58A==, tableContent=null), ArticleFig(id=1241810801674228010, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图2, caption=
末级叶片计算网格, figureFileSmall=IyPwGkpXe/Tt9PKHMRvI/Q==, figureFileBig=2fUkVM3CAKhIMj1F1+u58A==, tableContent=null), ArticleFig(id=1241810801766502703, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.3, caption=
Variation of the unsteady steam flow force on the last stage rotor blade over the time under typical working conditions, figureFileSmall=fb/EvBjyStuaBZ0rmUKukQ==, figureFileBig=EQ4ZicGD7vWN1yLLGLlm5A==, tableContent=null), ArticleFig(id=1241810801867166005, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图3, caption=
典型工况下末级动叶所受非定常气流力随时间的变化, figureFileSmall=fb/EvBjyStuaBZ0rmUKukQ==, figureFileBig=EQ4ZicGD7vWN1yLLGLlm5A==, tableContent=null), ArticleFig(id=1241810801951052090, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.4, caption=
Equivalent stress distribution of the last stage rotor blade under typical working conditions, figureFileSmall=jwQqUaohU5FMATXMU31qBg==, figureFileBig=E7a0X5g2lktsvUXk1vA/KQ==, tableContent=null), ArticleFig(id=1241810802064298305, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图4, caption=
典型工况下末级动叶等效应力分布, figureFileSmall=jwQqUaohU5FMATXMU31qBg==, figureFileBig=E7a0X5g2lktsvUXk1vA/KQ==, tableContent=null), ArticleFig(id=1241810802156573001, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.5, caption=
Total deformation distribution of the last stage rotor blade under typical working conditions, figureFileSmall=qfbBw9YbQKmFTbGWqh7PYw==, figureFileBig=OLFfaRkX6AIcPsMSqz04NQ==, tableContent=null), ArticleFig(id=1241810802299179343, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图5, caption=
典型工况下末级动叶总变形分布, figureFileSmall=qfbBw9YbQKmFTbGWqh7PYw==, figureFileBig=OLFfaRkX6AIcPsMSqz04NQ==, tableContent=null), ArticleFig(id=1241810802408231255, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.6, caption=
Dangerous points’ selection of the last stage rotor blade, figureFileSmall=SDTyLMEbDhOtqiN3qAfXcA==, figureFileBig=Mn3IoTwGFRpI8pKw+CbNKw==, tableContent=null), ArticleFig(id=1241810802525671777, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图6, caption=
末级动叶的危险点选取, figureFileSmall=SDTyLMEbDhOtqiN3qAfXcA==, figureFileBig=Mn3IoTwGFRpI8pKw+CbNKw==, tableContent=null), ArticleFig(id=1241810802643112297, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.7, caption=
Variation of the equivalent stress at dangerous points of the last-stage rotor blade over the time under the 100%THA working condition, figureFileSmall=jkmxgB4Z7xyhDObDrGflgg==, figureFileBig=xUJquWCoJJJfTGZANnq6jQ==, tableContent=null), ArticleFig(id=1241810802768941422, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图7, caption=
100%THA工况下末级动叶危险点等效应力随时间的变化, figureFileSmall=jkmxgB4Z7xyhDObDrGflgg==, figureFileBig=xUJquWCoJJJfTGZANnq6jQ==, tableContent=null), ArticleFig(id=1241810802894770550, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.8, caption=
Spectrum diagram of the equivalent stress of the last stage rotor blade under the 100%THA working condition, figureFileSmall=U8/tiCVHhH3gMMRaTPGx6w==, figureFileBig=iEaw5f+1qcZjBDur4YhPrQ==, tableContent=null), ArticleFig(id=1241810803016405373, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图8, caption=
100%THA工况下末级动叶的等效应力频谱图, figureFileSmall=U8/tiCVHhH3gMMRaTPGx6w==, figureFileBig=iEaw5f+1qcZjBDur4YhPrQ==, tableContent=null), ArticleFig(id=1241810803108680070, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Fig.9, caption=
Goodman curves of the dynamic stress on the last stage rotor blade under typical working conditions, figureFileSmall=dBkOnoVi9eA1NglyhzOYEA==, figureFileBig=Ss1Cw3zE5YPvt3b1LaBYXg==, tableContent=null), ArticleFig(id=1241810803230314899, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=图9, caption=
典型工况下末级动叶动应力的Goodman曲线, figureFileSmall=dBkOnoVi9eA1NglyhzOYEA==, figureFileBig=Ss1Cw3zE5YPvt3b1LaBYXg==, tableContent=null), ArticleFig(id=1241810803356144031, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Tab.1, caption=
Basic parameters of the last two blades
, figureFileSmall=null, figureFileBig=null, tableContent=
叶片类型 Type of the blade | 静叶只数 Number of stationary blades | 动叶只数 Number of rotor blades | 动叶高度 Blade height of rotor blade /mm |
|---|
次末级叶片 Penultimate stage blade | 58 | 82 | 590 |
末级叶片 Last stage blade | 60 | 70 | 1 030 |
), ArticleFig(id=1241810803444224424, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=表1, caption=
末两级叶片基本参数
, figureFileSmall=null, figureFileBig=null, tableContent=
叶片类型 Type of the blade | 静叶只数 Number of stationary blades | 动叶只数 Number of rotor blades | 动叶高度 Blade height of rotor blade /mm |
|---|
次末级叶片 Penultimate stage blade | 58 | 82 | 590 |
末级叶片 Last stage blade | 60 | 70 | 1 030 |
), ArticleFig(id=1241810803528110513, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Tab.2, caption=
Boundary conditions of each working condition
, figureFileSmall=null, figureFileBig=null, tableContent=
工况 Working condition | 入口流量 Inlet flow/(kg/s) | 抽口流量 Extraction flow/(kg/s) | 入口总压 Total pressure at inlet/MPa | 出口静压 Static pressure at outlet /MPa | 入口总焓 Total enthalpy at inlet/(kJ/kg) |
|---|
| 100%THA | 150.586 | 6.644 | 0.091 5 | 0.01 | 2 671.16 |
| 50%THA | 82.101 | 1.328 | 0.048 9 | 0.01 | 2 690.68 |
| 20%THA | 38.613 | 0 | 0.022 9 | 0.01 | 2 678.14 |
| 10%THA | 24.616 | 0 | 0.014 3 | 0.01 | 2 678 |
), ArticleFig(id=1241810803632968123, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=表2, caption=
各工况边界条件
, figureFileSmall=null, figureFileBig=null, tableContent=
工况 Working condition | 入口流量 Inlet flow/(kg/s) | 抽口流量 Extraction flow/(kg/s) | 入口总压 Total pressure at inlet/MPa | 出口静压 Static pressure at outlet /MPa | 入口总焓 Total enthalpy at inlet/(kJ/kg) |
|---|
| 100%THA | 150.586 | 6.644 | 0.091 5 | 0.01 | 2 671.16 |
| 50%THA | 82.101 | 1.328 | 0.048 9 | 0.01 | 2 690.68 |
| 20%THA | 38.613 | 0 | 0.022 9 | 0.01 | 2 678.14 |
| 10%THA | 24.616 | 0 | 0.014 3 | 0.01 | 2 678 |
), ArticleFig(id=1241810803725242820, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Tab.3, caption=
Material properties of the last stage blade
, figureFileSmall=null, figureFileBig=null, tableContent=
弹性模量 Elastic modulus /MPa | 泊松比 Poisson ratio | 密度 Density/(kg/m3) |
|---|
| 2.014 7×105 | 0.3 | 7 700 |
), ArticleFig(id=1241810803804934603, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=表3, caption=
末级叶片材料属性
, figureFileSmall=null, figureFileBig=null, tableContent=
弹性模量 Elastic modulus /MPa | 泊松比 Poisson ratio | 密度 Density/(kg/m3) |
|---|
| 2.014 7×105 | 0.3 | 7 700 |
), ArticleFig(id=1241810803943346643, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=EN, label=Tab.4, caption=
Maximum dynamic stress of danger points of the last stage rotor blade under typical working conditions
, figureFileSmall=null, figureFileBig=null, tableContent=
工况 Operating condition | σa(归一化)Normalization |
|---|
| P1 | P2 | P3 | P4 |
|---|
| 100%THA | 0.048 0 | 0.017 3 | 0.044 9 | 0.047 0 |
| 50%THA | 0.025 6 | 0.005 4 | 0.024 0 | 0.024 6 |
| 20%THA | 0.008 7 | 0.007 6 | 0.012 7 | 0.012 0 |
| 10%THA | 0.024 9 | 0.015 6 | 0.036 6 | 0.031 8 |
), ArticleFig(id=1241810804073370074, tenantId=1146029695717560320, journalId=1227999626482147330, articleId=1241686761915601004, language=CN, label=表4, caption=
典型工况下末级动叶危险点的最大动应力
, figureFileSmall=null, figureFileBig=null, tableContent=
工况 Operating condition | σa(归一化)Normalization |
|---|
| P1 | P2 | P3 | P4 |
|---|
| 100%THA | 0.048 0 | 0.017 3 | 0.044 9 | 0.047 0 |
| 50%THA | 0.025 6 | 0.005 4 | 0.024 0 | 0.024 6 |
| 20%THA | 0.008 7 | 0.007 6 | 0.012 7 | 0.012 0 |
| 10%THA | 0.024 9 | 0.015 6 | 0.036 6 | 0.031 8 |
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