Article(id=1206314870358757874, tenantId=1146029695717560320, journalId=1189987059142926344, issueId=1206314797411418409, articleNumber=null, orderNo=null, doi=10.19457/j.1001-2095.dqcd24621, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1663084800000, receivedDateStr=2022-09-14, revisedDate=1664294400000, revisedDateStr=2022-09-28, acceptedDate=null, acceptedDateStr=null, onlineDate=1765537477339, onlineDateStr=2025-12-12, pubDate=1710864000000, pubDateStr=2024-03-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1765537477339, onlineIssueDateStr=2025-12-12, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1765537477339, creator=13701087609, updateTime=1765537477339, updator=13701087609, issue=Issue{id=1206314797411418409, tenantId=1146029695717560320, journalId=1189987059142926344, year='2024', volume='54', issue='3', pageStart='3', pageEnd='96', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=0, articleOrder=1, issueType=-1, specialIssue=null, createTime=1765537459937, creator=13701087609, updateTime=1765766624077, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1207275981480477057, tenantId=1146029695717560320, journalId=1189987059142926344, issueId=1206314797411418409, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1207275981480477058, tenantId=1146029695717560320, journalId=1189987059142926344, issueId=1206314797411418409, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=23, endPage=29, ext={EN=ArticleExt(id=1206314871747072504, articleId=1206314870358757874, tenantId=1146029695717560320, journalId=1189987059142926344, language=EN, title=Analysis and Calculation for Leakage Current Component of Circulating Current in High Voltage Cable Sheath, columnId=null, journalTitle=Electric Drive, columnName=null, runingTitle=null, highlight=null, articleAbstract=

The circulating current of metal sheath in high voltage cable is the superposition of induced current component and leakage current component. At present, the calculation of induced current component is relatively mature, but the calculation of leakage current component is insufficient, which affects the final circulating current calculation result and the related fault diagnosis effect. For this reason, a calculation method for leakage current component of sheath circulating current in high voltage cable was proposed. Based on the π-type equivalent circuit of "core—sheath", an equivalent circuit for solving leakage current component of sheath circulating current was established, which take into account the shunting effect of leakage current and circulating current generated by leakage current of cable core. The final leakage current component was obtained based on the iterative method. A cable model with a linear arrangement was built using ATP-EMTP software. The results show that the relative deviation between calculation result and simulation value of this method is within 2% under different length combinations and load currents, compared with existing method, the accuracy is greatly improved. This method can better explain the reason of excessive circulating current at light load, and has a certain reference for the generation of sample data for fault diagnosis of cross-connected systems.

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高压电缆金属护套环流是感应电流分量与泄漏电流分量的叠加,目前,感应电流分量计算较为成熟,而泄漏电流分量的计算存在不足,影响最终环流计算结果与相关故障诊断效果。为此,提出了高压电缆护套环流泄漏电流分量的计算方法。以电缆“线芯—护套”的π型等效电路为基础,建立了求解护套环流泄漏电流分量的等值电路,同时计及泄漏电流的分流作用与线芯泄漏电流所产生的环流,基于迭代法得到最终的泄漏电流分量。利用电磁暂态仿真软件ATP-EMTP搭建了一字型敷设的电缆模型,结果表明:在不同段长组合及负荷电流下,该方法计算结果与仿真值的相对误差在2%以内,相较于现有方法,准确性有较大提高。所提方法可以较好地解释轻载时出现环流超标的原因;对交叉互联系统故障诊断样本数据的生成有一定的参考作用。

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陈晓儒(1986—),男,硕士,高级工程师,Email:

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陈晓儒(1986—),男,硕士,高级工程师,Email:

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陈晓儒(1986—),男,硕士,高级工程师,Email:

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caption=电缆仿真模型, figureFileSmall=csD10qEPxBnurwj2MhibJA==, figureFileBig=WkGAhQus9vmfqFp5mdpuQg==, tableContent=null), ArticleFig(id=1207275587421426316, tenantId=1146029695717560320, journalId=1189987059142926344, articleId=1206314870358757874, language=EN, label=Tab.1, caption=

Comparison of the calculation results for leakage current components by each method

, figureFileSmall=null, figureFileBig=null, tableContent=
段长组合/m 数据含义 监测点1 监测点2
A B C A B C
600/600/600 泄漏电流/A 方法1 3.22 3.22 3.22 3.22 3.22 3.22
方法2 7.24 5.96 5.64 2.86 3.03 1.39
仿真结果 7.26 5.97 5.65 2.85 3.02 1.39
误差/% 方法1 -55.65 -46.06 -43.01 12.98 6.62 131.65
方法2 -0.28 -0.17 -0.18 0.35 0.33 0.00
720/730/740 泄漏电流/A 方法1 3.84 3.84 3.84 3.92 3.92 3.92
方法2 8.62 7.13 6.69 3.45 3.70 1.74
仿真结果 8.65 7.12 6.71 3.46 3.68 1.73
误差/% 方法1 -55.61 -46.07 -42.77 13.29 6.52 126.59
方法2 -0.35 0.14 -0.30 -0.29 0.54 0.58
700/610/620 泄漏电流/A 方法1 3.83 3.83 3.83 3.38 3.38 3.38
方法2 8.57 6.91 6.93 2.98 2.74 1.00
仿真结果 8.57 6.96 6.92 2.94 2.73 1.02
误差/% 方法1 -55.31 -44.97 -44.65 14.97 23.81 231.37
方法2 0.00 -0.72 0.14 1.36 0.37 -1.96
), ArticleFig(id=1207275587513701007, tenantId=1146029695717560320, journalId=1189987059142926344, articleId=1206314870358757874, language=CN, label=表1, caption=

各方法泄漏电流分量计算结果对比

, figureFileSmall=null, figureFileBig=null, tableContent=
段长组合/m 数据含义 监测点1 监测点2
A B C A B C
600/600/600 泄漏电流/A 方法1 3.22 3.22 3.22 3.22 3.22 3.22
方法2 7.24 5.96 5.64 2.86 3.03 1.39
仿真结果 7.26 5.97 5.65 2.85 3.02 1.39
误差/% 方法1 -55.65 -46.06 -43.01 12.98 6.62 131.65
方法2 -0.28 -0.17 -0.18 0.35 0.33 0.00
720/730/740 泄漏电流/A 方法1 3.84 3.84 3.84 3.92 3.92 3.92
方法2 8.62 7.13 6.69 3.45 3.70 1.74
仿真结果 8.65 7.12 6.71 3.46 3.68 1.73
误差/% 方法1 -55.61 -46.07 -42.77 13.29 6.52 126.59
方法2 -0.35 0.14 -0.30 -0.29 0.54 0.58
700/610/620 泄漏电流/A 方法1 3.83 3.83 3.83 3.38 3.38 3.38
方法2 8.57 6.91 6.93 2.98 2.74 1.00
仿真结果 8.57 6.96 6.92 2.94 2.73 1.02
误差/% 方法1 -55.31 -44.97 -44.65 14.97 23.81 231.37
方法2 0.00 -0.72 0.14 1.36 0.37 -1.96
), ArticleFig(id=1207275587622752916, tenantId=1146029695717560320, journalId=1189987059142926344, articleId=1206314870358757874, language=EN, label=Tab.2, caption=

Comparison of sheath circulating current under different load currents

, figureFileSmall=null, figureFileBig=null, tableContent=
负荷电流/A 数据含义 监测点1 监测点2
A B C A B C
60 护套环流 本文计算值/A 9.83 8.73 9.21 5.65 4.66 3.84
仿真值/A 9.85 8.79 9.23 5.62 4.67 3.88
误差/% -0.20 -0.68 -0.22 0.53 -0.21 -1.03
环流与负荷电流比值/% 16.42 14.65 15.38 9.37 7.78 6.47
80 护套环流 本文计算值/A 10.40 9.37 10.04 6.59 5.33 4.79
仿真值/A 10.41 9.43 10.07 6.56 5.35 4.84
误差/% -0.10 -0.64 -0.30 0.46 -0.37 -1.03
环流与负荷电流比值/% 13.01 11.79 12.59 8.20 6.69 6.05
200 护套环流 本文计算值/A 14.77 13.35 15.33 12.37 9.50 10.54
仿真值/A 14.78 13.42 15.41 12.39 9.55 10.63
误差/% -0.07 -0.52 -0.52 -0.16 -0.52 -0.85
环流与负荷电流比值/% 7.39 6.71 7.71 6.20 4.78 5.32
400 护套环流 本文计算值/A 23.56 20.25 24.62 22.12 16.56 20.12
仿真值/A 23.60 20.35 24.78 22.00 16.65 20.29
误差/% -0.17 -0.49 -0.65 0.55 -0.54 -0.84
环流与负荷电流比值/% 5.90 5.09 6.20 5.50 4.16 5.07
), ArticleFig(id=1207275587748582038, tenantId=1146029695717560320, journalId=1189987059142926344, articleId=1206314870358757874, language=CN, label=表2, caption=

不同负荷电流下的护套环流对比

, figureFileSmall=null, figureFileBig=null, tableContent=
负荷电流/A 数据含义 监测点1 监测点2
A B C A B C
60 护套环流 本文计算值/A 9.83 8.73 9.21 5.65 4.66 3.84
仿真值/A 9.85 8.79 9.23 5.62 4.67 3.88
误差/% -0.20 -0.68 -0.22 0.53 -0.21 -1.03
环流与负荷电流比值/% 16.42 14.65 15.38 9.37 7.78 6.47
80 护套环流 本文计算值/A 10.40 9.37 10.04 6.59 5.33 4.79
仿真值/A 10.41 9.43 10.07 6.56 5.35 4.84
误差/% -0.10 -0.64 -0.30 0.46 -0.37 -1.03
环流与负荷电流比值/% 13.01 11.79 12.59 8.20 6.69 6.05
200 护套环流 本文计算值/A 14.77 13.35 15.33 12.37 9.50 10.54
仿真值/A 14.78 13.42 15.41 12.39 9.55 10.63
误差/% -0.07 -0.52 -0.52 -0.16 -0.52 -0.85
环流与负荷电流比值/% 7.39 6.71 7.71 6.20 4.78 5.32
400 护套环流 本文计算值/A 23.56 20.25 24.62 22.12 16.56 20.12
仿真值/A 23.60 20.35 24.78 22.00 16.65 20.29
误差/% -0.17 -0.49 -0.65 0.55 -0.54 -0.84
环流与负荷电流比值/% 5.90 5.09 6.20 5.50 4.16 5.07
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高压电缆护套环流泄漏电流分量的分析与计算
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陈晓儒 1 , 黄龙毅 1 , 赖胜杰 2 , 杨明嘉 2 , 王泽青 2 , 夏成军 2, 3
电气传动 | 电力电子 2024,54(3): 23-29
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电气传动 | 电力电子 2024, 54(3): 23-29
高压电缆护套环流泄漏电流分量的分析与计算
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陈晓儒1 , 黄龙毅1, 赖胜杰2, 杨明嘉2, 王泽青2, 夏成军2, 3
作者信息
  • 1 广东电网有限责任公司 惠州供电局,广东 惠州 516001
  • 2 华南理工大学 电力学院,广东 广州 510640
  • 3 广东省新能源电力系统智能运行与控制企业重点实验室,广东 广州 510663
  • 陈晓儒(1986—),男,硕士,高级工程师,Email:

Analysis and Calculation for Leakage Current Component of Circulating Current in High Voltage Cable Sheath
Xiaoru CHEN1 , Longyi HUANG1, Shengjie LAI2, Mingjia YANG2, Zeqing WANG2, Chengjun XIA2, 3
Affiliations
  • 1 Huizhou Power Supply Bureau,Guangdong Power Grid Limited Liability Company,Huizhou 516001, Guangdong,China
  • 2 School of Electric Power,South China University of Technology, Guangzhou 510640,Guangdong,China
  • 3 Guangdong Province' New Energy Power System Intelligent Operation and Control Enterprise Key Laboratory,Guangzhou 510663,Guangdong,China
出版时间: 2024-03-20 doi: 10.19457/j.1001-2095.dqcd24621
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高压电缆金属护套环流是感应电流分量与泄漏电流分量的叠加,目前,感应电流分量计算较为成熟,而泄漏电流分量的计算存在不足,影响最终环流计算结果与相关故障诊断效果。为此,提出了高压电缆护套环流泄漏电流分量的计算方法。以电缆“线芯—护套”的π型等效电路为基础,建立了求解护套环流泄漏电流分量的等值电路,同时计及泄漏电流的分流作用与线芯泄漏电流所产生的环流,基于迭代法得到最终的泄漏电流分量。利用电磁暂态仿真软件ATP-EMTP搭建了一字型敷设的电缆模型,结果表明:在不同段长组合及负荷电流下,该方法计算结果与仿真值的相对误差在2%以内,相较于现有方法,准确性有较大提高。所提方法可以较好地解释轻载时出现环流超标的原因;对交叉互联系统故障诊断样本数据的生成有一定的参考作用。

高压电缆  /  交叉互联  /  护套环流  /  感应电流分量  /  泄漏电流分量

The circulating current of metal sheath in high voltage cable is the superposition of induced current component and leakage current component. At present, the calculation of induced current component is relatively mature, but the calculation of leakage current component is insufficient, which affects the final circulating current calculation result and the related fault diagnosis effect. For this reason, a calculation method for leakage current component of sheath circulating current in high voltage cable was proposed. Based on the π-type equivalent circuit of "core—sheath", an equivalent circuit for solving leakage current component of sheath circulating current was established, which take into account the shunting effect of leakage current and circulating current generated by leakage current of cable core. The final leakage current component was obtained based on the iterative method. A cable model with a linear arrangement was built using ATP-EMTP software. The results show that the relative deviation between calculation result and simulation value of this method is within 2% under different length combinations and load currents, compared with existing method, the accuracy is greatly improved. This method can better explain the reason of excessive circulating current at light load, and has a certain reference for the generation of sample data for fault diagnosis of cross-connected systems.

high voltage cable  /  cross-bonding  /  circulating current of sheath  /  induced current component  /  leakage current component
陈晓儒, 黄龙毅, 赖胜杰, 杨明嘉, 王泽青, 夏成军. 高压电缆护套环流泄漏电流分量的分析与计算. 电气传动, 2024 , 54 (3) : 23 -29 . DOI: 10.19457/j.1001-2095.dqcd24621
Xiaoru CHEN, Longyi HUANG, Shengjie LAI, Mingjia YANG, Zeqing WANG, Chengjun XIA. Analysis and Calculation for Leakage Current Component of Circulating Current in High Voltage Cable Sheath[J]. Electric Drive, 2024 , 54 (3) : 23 -29 . DOI: 10.19457/j.1001-2095.dqcd24621
近年来,高压电缆在城市电网得到广泛使用,护套环流问题也日渐突出[1-3]。金属护套环流为线芯负荷电流与泄漏电流共同作用所产生[4],护套环流会导致线芯载流量降低、电能损耗增加、绝缘老化等一系列问题,给电力系统安全稳定运行造成威胁[5-7]。虽然交叉互联系统可以减小护套环流[8-10],但由于施工以及各种故障的影响,护套环流超标的情况难以避免。因此,开展高压电缆护套环流的计算分析具有重要的意义。
文献[11]推导了单回路交叉互联系统的护套环流计算公式,并分析了三段电缆布置方式不一致对护套环流的影响。文献[12]建立了单回路交叉互联接地的护套环流计算模型,提出通过分析护套环流与测量值之间的差值可以判断电缆系统是否存在缺陷或故障。文献[13]研究了四回路电缆同沟敷设情形下,金属护套环流的计算方法。文献[14]建立了隧道八回路电缆的护套环流计算模型,以品字形和水平敷设为例,分析了电缆相间距与回路间距对护套环流的影响。文献[15]针对同相多根电缆并联运行电流分配不均问题,提出了相应的护套环流计算方法。以上文献计算的护套环流均为线芯负荷电流作用下的感应电流分量,而并未考虑泄漏电流分量的影响,会给护套环流的计算带来一定的误差。现场运行经验表明:当负荷电流较小时,会出现金属护套环流与负荷电流之比超过10%的现象。按照上述护套环流计算理论,护套环流与负荷电流成正比,无法解释轻载环流超标现象。部分学者对泄漏电流作用下的护套环流计算展开研究,文献[16-19]将交叉互联各段的泄漏电流等效为电流源,利用阻抗分流原则计算护套环流中的泄漏电流分量,然后基于计算模型所得的环流样本数据进行特征分析来实现交叉互联系统故障诊断。虽然考虑了泄漏电流的分流,但忽略了线芯中的泄漏电流对护套环流的贡献,其计算模型依然不够完善,影响护套环流的最终计算结果与故障诊断效果。
针对现有护套环流泄漏电流分量计算的不足,本文以交叉互联接地方式为例,在分析泄漏电流的作用时,同时考虑泄漏电流的分流及线芯中的泄漏电流影响,提出了高压电缆护套环流泄漏电流分量计算方法,并通过电磁暂态仿真软件ATP-EMTP进行仿真分析,验证了所提方法的准确性。
高压电缆通常包含两层导体,即线芯与金属护套,导体中间是交联聚乙烯(cross linked polye-thylene,XLPE)绝缘层。一方面,由于电磁感应现象,线芯负荷电流激发的交变磁场会在金属护套中产生感应电压,当护套两端接地时,便会形成接地环流,这是护套环流中的感应电流分量。另一方面,线芯—绝缘—金属护套的结构可以等效为圆柱形电容器[20],正常运行时,电缆中还存在由线芯经主绝缘流至金属护套的泄漏电流,在泄漏电流作用下,金属护套环流中存在泄漏电流分量。虽然金属护套与大地之间也存在泄漏电流,但由于护套两端接地,这部分泄漏电流极小,可忽略不计。
泄漏电流包括容性和阻性成分,相对于容性泄漏电流,阻性泄漏电流的影响可忽略[16]。目前,护套环流感应电流分量的计算方法已较为成熟,本文主要分析护套环流中泄漏电流分量的计算。
为了准确反映泄漏电流对护套环流的影响,需建立包含线芯和金属护套的等值模型。图1所示为电缆一交叉互联小段的“线芯—护套”π型等效电路(忽略电导)。图中,Rc,Lc为该段电缆线芯的总电阻和总电感;Rs,Ls为护套的总电阻和总电感;Ccs为线芯与金属护套间的总电容的1/2。
电容Ccs中的泄漏电流Ics
I c s = j ω C c s U
式中:U为线芯相电压;ω为角频率。
IcsU均为矢量,包含幅值和相角,下文中的电压、电流、阻抗均为矢量,不再赘述。Ccs可以由下式确定[4]
C c s = 2 π ε 0 ε r l n ( D x / D c )
式中:ε0为真空介电常数;εr为相对介电常数;Dc为线芯外径;Dx为绝缘层外径。
基于上述“线芯—护套”π型等效电路,可以得到整个交叉互联系统的等效电路,图2所示为A-B-C回路的等效电路,其他两个回路类似。
图2中,Rci,Lci,Rsi,Lsii=1,2,3)分别为第i段电缆中的线芯电阻、电感和护套电阻、电感;Ccsi为各段电缆线芯与护套之间的电容;Icsa1Icsa2A相第1段电缆两端电容的泄漏电流;Icsb3Icsb4B相第2段电缆两端电容的泄漏电流;Icsc5Icsc6C相第3段电缆两端电容的泄漏电流;UAUBUC为三相线芯电压;Ia1Ib2Ic3为三段电缆线芯中的泄漏电流;R1,R2为各护套回路两端的共同接地电阻。
当不考虑负荷电流作用时,流过线芯中的电流全部为泄漏电流。由图2可知,护套环流中的泄漏电流分量由两部分组成,即线芯与护套间泄漏电流在各护套段上的分流以及在线芯中泄漏电流作用下金属护套中形成的环流。
由于交叉互联电缆三段上的线芯压降很小,可以认为线芯电压为定值,则容性泄漏电流可以等效为理想电流源,故可得到求解护套环流中泄漏电流分量的等值电路,如图3所示。
图3中,Zs1Zs2Zs3为各段护套阻抗;Ua1Ub2Uc3为线芯中泄漏电流在各护套段上产生的感应电压; U a 1 ' U b 2 ' U c 3 '为线芯泄漏电流形成的护套环流在各护套段上产生的感应电压;Ia1Ib2Ic3为护套环流中总泄漏电流分量;Ica1Icb2Icc3为电流源作用下各段护套环流;Isa为电压源作用下各段护套环流。泄漏电流与护套环流关系如下:
I a 1 = I c a 1 + I s a I b 2 = I c b 2 + I s a I c 3 = I c c 3 + I s a
图3中的电流源流入护套回路后将产生分流,导致各护套段的环流值不同。图4所示为A相单个电流源分流等值电路,B相、C相类似。图4中,ZSLZSR分别为电流源注入点左、右两侧的护套阻抗;IsajLIsajR分别为Icsajj=1,…,6)在金属护套左、右两侧的分流。则有:
I s a j L = Z S R Z S L + Z S R I c s a j I s a j R = Z S L Z S L + Z S R I c s a j
式中:Icsajj=1,…,6)为A相各段电缆线芯与护套间的泄漏电流。
由于护套两端接近地电位,故分流公式不含R1R2。根据式(4)将各电流源的分流叠加:
I c a 1 = - I s a 1 R + I s a 2 L + I s b 3 L + I s b 4 L + I s c 5 L + I s c 6 L I c b 2 = - I s a 1 R - I s a 2 R - I s b 3 R + I s b 4 L + I s c 5 L + I s c 6 L I c c 3 = - I s a 1 R - I s a 2 R - I s b 3 R - I s b 4 R - I s c 5 R + I s c 6 L
以上是A-B-C回路中,由泄漏电流分流而形成的环流,B-C-A回路与C-A-B回路的求解过程类似,不再赘述。
线芯泄漏电流作用产生的环流可以采用回路电流法进行求解,需要注意的是,每段线芯中的泄漏电流大小并不相同,以A相线芯为例,其各段线芯中的泄漏电流为
I a 1 = j = 2 6 I c s a j I a 2 = j = 4 6 I c s a j I a 3 = I c s a 6
式中:Ia1Ia2Ia3A相三段电缆线芯中的泄漏电流。
图5为以比率表示的任意排列电缆相间距示意图,SmSnS为各相电缆中心的距离。
由电磁学理论,可以得到图3Ua1Ub2Uc3 U a 1 ' U b 2 ' U c 2 '
U a 1 = 10 - 7 ω I a 1 ( 3 l n S + j l n n S 2 r e q 2 ) l 1 U b 2 = 10 - 7 ω I a 2 ( 3 l n m S r e q - j l n S m r e q ) l 2 U c 3 = 10 - 7 ω I a 3 ( - 3 l n m S r e q - j l n n 2 S m r e q ) l 3
U a 1 ' = j 2 ω × 10 - 7 ( I s b l n D e S + I s c l n D e n S ) l 1 U b 2 ' = j 2 ω × 10 - 7 ( I s b l n D e m S + I s c l n D e S ) l 2 U c 3 ' = j 2 ω × 10 - 7 ( I s b l n D e n S + I s c l n D e m S ) l 3
式中:req为金属护套的几何平均半径;l1l2l3为电缆段长;IsbIsc分别为B-C-A回路与C-A-B回路的护套环流;De为大地回路等值深度。
由各护套回路的KVL,可得如下矩阵方程:
Z s + R R R R Z s + R R R R Z s + R I s a I s b I s c = U s a U s b U s c - U s a ' U s b ' U s c '
其中
R=R1+R2+Re
式中:Zs为电缆金属护套总阻抗;UsaA-B-C回路中由线芯泄漏电流产生的总感应电压,Usa=Ua1+Ub2+Uc3 U s a 'A-B-C回路中由护套环流产生的总感应电压, U s a '= U a 1 '+ U b 2 '+ U c 3 'UsbUsc U s b ' U s c '含义类似;Re为大地等值电阻。
由于 U s a ' U s b ' U s c '与待求变量IsaIsbIsc相关,故采用迭代法求解。将式(9)中4个矩阵依次记为ZIsUs U s ',则Is
I s = Z - 1 ( U s - U s ' )
迭代初值由下式确定:
I s ( 0 ) = Z - 1 U s
根据图6所示的迭代流程即可求出线芯泄漏电流作用时各回路的护套环流。
由式(3)可得电缆各段护套环流的泄漏电流分量,由于现场一般在直接接地箱和交叉互联箱中设置环流监测点,根据图3易得各监测点护套环流的泄漏电流分量。
为验证本文护套环流泄漏电流分量计算方法的准确性,在电磁暂态仿真软件ATP-EMTP中搭建了单回路电缆仿真模型,如图7所示。图7中,监测点1和监测点4测量直接接地箱中的环流,监测点2和监测点3测量交叉互联箱中的环流。以常见的一字型敷设方式为例,对不同段长组合下电缆直接接地箱与交叉互联箱中的护套环流进行分析。
仿真模型选用YJLW03-Z-127/220-1×2500型电缆,由于ATP-EMTP中不能设置半导电屏蔽层,而内屏蔽层的归属将影响线芯与护套间电容参数的计算,需对电缆参数做略微修改。内屏蔽层具有一定导电能力且与线芯等电位,故将其归属于线芯部分[4]
具体仿真参数为:线芯外径65.6 mm,绝缘厚度24 mm,金属护套内径113.6 mm,金属护套外径119.2 mm,系统线电压220 kV,护套两侧接地电阻取0.5 Ω,电缆相间距0.2 m。由于要分析泄漏电流作用下,各护套段中的环流分布情况,故在仿真模型中设置电缆末端空载,此时负荷电流为零,仿真结果即为护套环流的泄漏电流分量。
在上述情景下,分别采用本文方法与文献[16-19]中的方法求解了护套环流的泄漏电流分量,并与仿真结果进行对比。以监测点1和监测点2为例分析直接接地箱与交叉互联箱中的环流,将不同段长组合下各方法的计算结果与仿真结果记录在表1中。其中,方法1为文献[16-19]中仅考虑泄漏电流分流作用的计算方法,方法2为本文方法。
表1可知:1)当负荷电流为零时,如果不考虑泄漏电流,按照感应电流计算理论,护套环流为零,而实际上金属护套各个监测点中仍存在较大的护套环流,说明在高压电缆中,护套环流的泄漏电流分量不能忽略。2)在不同的段长组合下,如果仅考虑泄漏电流的分流作用,其各监测点的护套环流计算误差大致在50%左右,与仿真结果仍有较大差异,不能完整体现泄漏电流对护套环流的影响;而采用本文方法计算泄漏电流作用下的护套环流,其误差均在2%以内,验证了本文所提方法的准确性。
为进一步分析不同负荷电流下的护套环流情况,以段长700/610/620为例,在仿真模型中加入负荷,设置了4种负荷电流值,其中两种为轻载情形,另外两种为正常负载情形。将感应电流分量与本文计算的泄漏电流分量叠加得到不同负荷电流下的护套环流,并与仿真结果进行对比,将数据记录在表2中,表中的电流比为环流仿真值与负荷电流的比值。
表2可知,加入负荷后本文护套环流的计算误差基本在1%以内,再次证明了本文方法的准确性。在同样的段长及敷设方式下,随着负荷电流的减小,护套环流与负荷电流的比值逐渐增大,当负荷电流为80 A与60 A时,监测点1的护套环流均超过10%。由于轻载时负荷电流较小,护套环流的感应电流分量也相应较小,而护套环流中的泄漏电流分量则占相当大的比重,因此会出现环流超标现象。故在护套环流分析与计算中需准确计及泄漏电流分量的影响。
本文方法所得的环流准确性较高,通过改变各种参数,包括敷设方式、段长、电缆参数、运行负荷电流、线芯电压等,可以很容易获取大量的环流数据,为交叉互联系统的相关故障诊断研究提供大量且可靠的样本数据。
针对现有护套环流计算上的不足,本文在泄漏电流分流作用的基础上,计及线芯泄漏电流对护套环流的贡献,较全面地考虑了泄漏电流对护套环流的影响,提出了高压电缆护套环流泄漏电流分量的计算方法。仿真分析结果表明,泄漏电流分量是护套环流的重要组成部分,采用本文计算方法所得环流值误差在2%以内,验证了该方法的准确性,有力地解释了轻载时护套环流超标的原因,同时为故障诊断样本数据的生成提供了可靠途径。
  • 南方电网公司科技项目(031300KK52200003)
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2024年第54卷第3期
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doi: 10.19457/j.1001-2095.dqcd24621
  • 接收时间:2022-09-14
  • 首发时间:2025-12-12
  • 出版时间:2024-03-20
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  • 收稿日期:2022-09-14
  • 修回日期:2022-09-28
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南方电网公司科技项目(031300KK52200003)
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    1 广东电网有限责任公司 惠州供电局,广东 惠州 516001
    2 华南理工大学 电力学院,广东 广州 510640
    3 广东省新能源电力系统智能运行与控制企业重点实验室,广东 广州 510663
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2种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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