基于变压器套管电容芯子温度与介质损耗因数非线性关系的一种迭代算法
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摘要
高压套管作为变压器重要的附件,研究套管的温度分布是保证其安全可靠运行的关键。以220 k V油纸电容式变压器套管为研究对象,基于电容芯子温度与介质损耗因数(tanδ)的非线性关系提出了一种温度的迭代算法。首先固定tanδ,计算电容芯子的介质损耗;再与其他热源加载到温度场分析中,得到套管初始的温度分布,根据公式对不同温度对应单元的tanδ修正,重新计算介质损耗,再求解温度场,直至相邻计算步之间对应节点温度的相对误差小于0. 01。结果表明在不同环境温度下,采用迭代算法与直接计算的结果进行对比,电容芯子上的最大温差都非常小;在进行套管温度计算时,不必考虑温度与tanδ的非线性关系。研究对于电容式套管温度场的精确计算和tanδ非线性变化的问题具有一定指导意义。
As an important accessory of transformer,the study of bushing temperature distribution is the key to ensure its safe and reliable operation. 220 kV oil-paper capacitor bushing as the research object was taken,based on the nonlinear relationship between the temperature of the capacitor core and dielectric loss factor( tanδ),a iterative algorithm of the temperature is proposed. First,the tanδ is fixed to calculate the dielectric loss,with which the other heat sources are loaded into the temperature field analysis to obtain the initial temperature distribution of the bushing. According to the formula,the tanδ is corrected of the corresponding temperature unit to recalculate the dielectric loss. The heat is generated and the temperature field is solved until the relative error of the corresponding node temperature between adjacent calculation steps is less than 0. 01. The results show that under different ambient temperatures,comparing with the temperature directly calculated,the maximum temperature difference on the capacitor core is very small,which indicating that it is not necessary to consider the nonlinear relationship between temperature and tanδ. The results are useful for the accurate calculation of the temperature field of the capacitor bushing and the nonlinear variation of the tanδ.
As an important accessory of transformer,the study of bushing temperature distribution is the key to ensure its safe and reliable operation. 220 kV oil-paper capacitor bushing as the research object was taken,based on the nonlinear relationship between the temperature of the capacitor core and dielectric loss factor( tanδ),a iterative algorithm of the temperature is proposed. First,the tanδ is fixed to calculate the dielectric loss,with which the other heat sources are loaded into the temperature field analysis to obtain the initial temperature distribution of the bushing. According to the formula,the tanδ is corrected of the corresponding temperature unit to recalculate the dielectric loss. The heat is generated and the temperature field is solved until the relative error of the corresponding node temperature between adjacent calculation steps is less than 0. 01. The results show that under different ambient temperatures,comparing with the temperature directly calculated,the maximum temperature difference on the capacitor core is very small,which indicating that it is not necessary to consider the nonlinear relationship between temperature and tanδ. The results are useful for the accurate calculation of the temperature field of the capacitor bushing and the nonlinear variation of the tanδ.
引文
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8 Ko C,Zhang S.Improved transient hot-spot temperature calculation method of high voltage bushings.Transmission and Distribution Conference and Exposition:Latin America,2008 IEEE/PES.New York:IEEE,2008;1-5
9张施令,彭宗仁,刘鹏,等.电热耦合模型应用于高压干式直流套管径向温度和电场分布计算.中国电机工程学报,2013;36(22):191-200Zhang Shiling,Peng Zongren,Liu Peng,et al.Electro-thermal coupling model for computation of radial temperature and electric field of resin impregnated paper high voltage direct current bushing.Proceedings of the CSEE,2013;33(22):191-200
10许佐明,胡伟,张施令,等.550 kV环氧浸渍干式油-SF6电容套管温度场分析.高电压技术,2012;38(11):3087-3092Xu Zuoming,Hu Wei,Zhang Shiling,et al.Thermal field analysis for 550 kV epoxy resin-impregnated paper oil-SF6 capacitor bushing.High Voltage Engineering,2012;38(11):3087-3092
11张施令,彭宗仁,邓志祥,等.集总RC热网络方法应用于油气套管暂态温度计算.高电压技术,2015;41(7):2294-2301Zhang Shiling,Peng Zongren,Deng Zhixiang,et al.Application of lumped rc thermal network method in transient temperature calculation of oil/SF6 bushing.High Voltage Engineering,2015;41(7):2294-2301
12王青于,杨熙,彭宗仁,等.应用三维电磁-热-流耦合场分析法计算换流变压器干式套管的温度场分布.中国电机工程学报,2016;36(22):6269-6275Wang Qingyu,Yang Xi,Peng Zongren,et al.3D coupled electromagnetic-thermal-fluid method for computation of temperature field of converter transformer RIP bushings.Proceedings of the CSEE,2016;36(22):6269-6275
13沈文,温苗,徐建源,等.800 kV油纸电容式套管温度场计算分析.2013输变电年会.北京:中国电机工程学会,2013:400-403Shen Wen,Wen Miao,Xu Jianyuan,et al.Thermal filed calculation and analysis for 800 k V oiled paper condenser type bushing.2013 Annual Meeting of Power Transmission and Transformation.Beijing:Chinese Society for Electrical Engineering,2013:400-403
14冀田.油纸电容式套管电场及温度场分析.沈阳:沈阳工业大学,2015Ji Tian.Electric field and temperature field calculation and analysis of paper oiled bushing.Shenyang:Shenyang University of Technology,2015
15温苗,林莘,仲思蒙.变压器套管传热性能的数值模拟和试验验证.高电压技术,2016;42(9):2956-2961Wen Miao,Lin Xin,Zhong Simeng.Numerical simulation and experimental study of heat transfer characteristics in transformer bushing.High Voltage Engineering,2016;42(9):2956-2961
16谢雄杰,胡伟,彭宗仁,等.热稳定试验中的550 kV环氧浸渍纸油-SF6套管介质损耗特性.高电压技术,2012;38(10):2749-2754Xie Xiongjie,Hu Wei,Peng Zongren,et al.Dielectric loss characteristics of 550 kV resin impregnated paper oil-SF6 bushing during thermal stabilization testing.High Voltage Engineering,2012;38(10):2749-2754
17汪新泉,肖记理,冯斌,等.油纸电容式套管介质损耗因数tanδ.变压器,2012;49(2):37-42Wang Xinquan,Xiao Jili,Feng Bin,et al.Dielectric power factor of oil paper capacitor bushing.Transformer,2012;49(2):37-42
18邹高增,雷挺宇,赵聪.关于浸纸绝缘型套管介质损耗数据的分析.水电与新能源,2016;(11):31-32Zou Gaozeng,Lei Tingyu,Zhao Cong.Dielectric loss data analysis of oil impregnated paper insulation bushing.Hydropower&New Energy,2016;(11):31-32
19中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.油浸式电力变压器技术参数和要求:GB/T6451-2008.北京:中国标准出版社,2008General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China,Standardization Administration of the People's Republic of China.Technical parameters and requirements of oil immersed power transformer:GB/T 6451-2008.Beijing:China Standard Press,2008
20沈文.温度梯度下换流变压器套管绝缘特性分析.沈阳:沈阳工业大学,2015Shen Wen.Study on insulation characteristics of converter transformer bushing under the temperature gradient.Shenyang:Shenyang University of Technology,2015
21中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.交流电压高于1 000 V的绝缘套管:GB/T 4109-2008.北京:中国标准出版社,2008General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China,Standardization Administration of the People's Republic of China.Insulated bushings for alternating voltages above 1 000 V:GB/T 4109-2008.Beijing:China Standard Press,2008
2杜现秋,夏茂利,张全芳,等.两起变压器套管故障的原因分析及处理.电工技术,2016;(3):52-53Du Xianqiu,Xia Maoli,Zhang Quanfang,et al.Analysis and treatment of two transformer casing faults.Electric Engineering,2016;(3):52-53
3王世阁.变压器套管故障状况及其分析.变压器,2002;39(7):35-40Wang Shige.Fault situation of transformer bushing and its analysis.Transformer,2002;39(7):35-40
4任晓红,王伟,郑健康,等.500 kV变压器套管典型故障及分析.高电压技术,2008;34(11):2513-2516Ren Xiaohong,Wang Wei,Zheng Jiankang,et al.Typical fault and analysis of 500 kV transformer bushing.High Voltage Engineering,2008;34(11):2513-2516
5 Hebert P P,Steed R C.A high voltage bushing thermal performance computer model.IEEE Transactions on Power Apparatus&Systems,1978;PAS-97(6):2219-2224
6 Allahbakhshi M,Akbari M.Heat analysis of the power transformer bushings using the finite element method.Applied Thermal Engineering,2016;100:714-720
7 Akbari M,Allahbakhshi M,Mahmoodian R.Heat analysis of the power transformer bushings in the transient and steady states considering the load variations.Applied Thermal Engineering,2017;121:999-1010
8 Ko C,Zhang S.Improved transient hot-spot temperature calculation method of high voltage bushings.Transmission and Distribution Conference and Exposition:Latin America,2008 IEEE/PES.New York:IEEE,2008;1-5
9张施令,彭宗仁,刘鹏,等.电热耦合模型应用于高压干式直流套管径向温度和电场分布计算.中国电机工程学报,2013;36(22):191-200Zhang Shiling,Peng Zongren,Liu Peng,et al.Electro-thermal coupling model for computation of radial temperature and electric field of resin impregnated paper high voltage direct current bushing.Proceedings of the CSEE,2013;33(22):191-200
10许佐明,胡伟,张施令,等.550 kV环氧浸渍干式油-SF6电容套管温度场分析.高电压技术,2012;38(11):3087-3092Xu Zuoming,Hu Wei,Zhang Shiling,et al.Thermal field analysis for 550 kV epoxy resin-impregnated paper oil-SF6 capacitor bushing.High Voltage Engineering,2012;38(11):3087-3092
11张施令,彭宗仁,邓志祥,等.集总RC热网络方法应用于油气套管暂态温度计算.高电压技术,2015;41(7):2294-2301Zhang Shiling,Peng Zongren,Deng Zhixiang,et al.Application of lumped rc thermal network method in transient temperature calculation of oil/SF6 bushing.High Voltage Engineering,2015;41(7):2294-2301
12王青于,杨熙,彭宗仁,等.应用三维电磁-热-流耦合场分析法计算换流变压器干式套管的温度场分布.中国电机工程学报,2016;36(22):6269-6275Wang Qingyu,Yang Xi,Peng Zongren,et al.3D coupled electromagnetic-thermal-fluid method for computation of temperature field of converter transformer RIP bushings.Proceedings of the CSEE,2016;36(22):6269-6275
13沈文,温苗,徐建源,等.800 kV油纸电容式套管温度场计算分析.2013输变电年会.北京:中国电机工程学会,2013:400-403Shen Wen,Wen Miao,Xu Jianyuan,et al.Thermal filed calculation and analysis for 800 k V oiled paper condenser type bushing.2013 Annual Meeting of Power Transmission and Transformation.Beijing:Chinese Society for Electrical Engineering,2013:400-403
14冀田.油纸电容式套管电场及温度场分析.沈阳:沈阳工业大学,2015Ji Tian.Electric field and temperature field calculation and analysis of paper oiled bushing.Shenyang:Shenyang University of Technology,2015
15温苗,林莘,仲思蒙.变压器套管传热性能的数值模拟和试验验证.高电压技术,2016;42(9):2956-2961Wen Miao,Lin Xin,Zhong Simeng.Numerical simulation and experimental study of heat transfer characteristics in transformer bushing.High Voltage Engineering,2016;42(9):2956-2961
16谢雄杰,胡伟,彭宗仁,等.热稳定试验中的550 kV环氧浸渍纸油-SF6套管介质损耗特性.高电压技术,2012;38(10):2749-2754Xie Xiongjie,Hu Wei,Peng Zongren,et al.Dielectric loss characteristics of 550 kV resin impregnated paper oil-SF6 bushing during thermal stabilization testing.High Voltage Engineering,2012;38(10):2749-2754
17汪新泉,肖记理,冯斌,等.油纸电容式套管介质损耗因数tanδ.变压器,2012;49(2):37-42Wang Xinquan,Xiao Jili,Feng Bin,et al.Dielectric power factor of oil paper capacitor bushing.Transformer,2012;49(2):37-42
18邹高增,雷挺宇,赵聪.关于浸纸绝缘型套管介质损耗数据的分析.水电与新能源,2016;(11):31-32Zou Gaozeng,Lei Tingyu,Zhao Cong.Dielectric loss data analysis of oil impregnated paper insulation bushing.Hydropower&New Energy,2016;(11):31-32
19中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.油浸式电力变压器技术参数和要求:GB/T6451-2008.北京:中国标准出版社,2008General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China,Standardization Administration of the People's Republic of China.Technical parameters and requirements of oil immersed power transformer:GB/T 6451-2008.Beijing:China Standard Press,2008
20沈文.温度梯度下换流变压器套管绝缘特性分析.沈阳:沈阳工业大学,2015Shen Wen.Study on insulation characteristics of converter transformer bushing under the temperature gradient.Shenyang:Shenyang University of Technology,2015
21中华人民共和国国家质量监督检验检疫总局,中国国家标准化管理委员会.交流电压高于1 000 V的绝缘套管:GB/T 4109-2008.北京:中国标准出版社,2008General Administration of Quality Supervision,Inspection and Quarantine of the People's Republic of China,Standardization Administration of the People's Republic of China.Insulated bushings for alternating voltages above 1 000 V:GB/T 4109-2008.Beijing:China Standard Press,2008