Study of Dielectric Response Characteristics and Temperature Normalization of Oil-Paper Insulation in Low Temperature
Tian Wenrui1, Ren Huimin2, Yang Dingqian3, Feng Yuxuan3, Zhang Daning1, Li Yuan1, Zhang Guanjun1
1. School of Electrical Engineering Xi’an Jiaotong University Xi’an 710049 China 2. State Grid Shaanxi Electric Power Company Economic and Technological Research Institute Xi’an 710065 China 3. Electric Power Research Institute of State Grid Xinjiang Electric Power Co. Ltd Urumqi 830013 China
Abstract:Frequency domain dielectric spectroscopy (FDS) is widely used for condition diagnosis of oil-paper insulated power equipment due to its high measurement accuracy and ease of operation. However, in winter in Northeast and Northwest China, the temperatures remain below -40℃ for extended periods, and rapid internal cooling of equipment during maintenance can lead to water crystallization and partial solidification of transformer oil, severely affecting accuracy of FDS results. In order to improve the accuracy of oil-paper insulation condition assessment, it is necessary to perform temperature normalization of the test results. However, traditional "master curve" methods are unsuitable for low-temperature environments as they produce significant errors in high and low frequency ranges. Existing research rarely focuses on the dielectric response characteristics and assessment methods of oil-paper insulation in extremely low-temperature environments. Therefore, this paper studies the FDS results of oil paper insulation at different temperature, and establishes a new temperature normalization model by Havriliak-Negami (H-N) model. This model improves the temperature normalization accuracy, filling the gap in the assessment of oil-paper insulation condition in low-temperature environments. Firstly, starting from the physics of dielectrics, derive the effects of temperature on the relaxation processes. to obtain the formula for temperature normalization parameters. Samples of oil paper insulation with different moisture contents (0.41%~3.91%) are prepared, and an experimental platform for high and low temperature dielectric response testing is set up. By measuring the frequency dielectric spectra (1 mHz~5 kHz) of samples with different moisture contents at various temperatures (-40~30℃), it is found that as the moisture content gradually increases, the dielectric loss values also increase. Additionally, the decrease in temperature tends to make the high-frequency FDS results more consistent the relaxation peaks less distinct, which increases the difficulty of assessing moisture content. In order to understand the changes in the internal water morphology of oil-paper insulation at low temperatures, the distribution of moisture within insulation paper is studied using isothermal adsorption experiments, revealing a substantial amount of free water attached to cellulose fibers. At low temperature, this part of water crystallizes and precipitates, which affects internal polarization processes of oil paper insulation. Using thermally stimulated depolarization current (TSDC), it is discovered that concentration polarization, interfacial polarization, and dipole polarization are the main three polarization processes in oil-paper insulation. Based on the extended derivative method, it is found that as the temperature decreases, the intensity of concentration polarization gradually weakens, and the relaxation time of interfacial polarization decreases. In order to study different polarization processes separately, the improved Havriliak-Negami (H-N) model is used to decompose FDS results, extracting characteristic parameters of each relaxation process. It is discovered that as temperature decreases, concentration polarization diminishes and disappears below 0℃, temperature only changes the relaxation time of interfacial polarization without altering its strength, and dipole polarization intensifies due to reduced molecular thermal motion. Moreover, the conductivity process, influenced by both ionic and electrophoretic conductivity, gradually decreases and stabilizes. At the same time, temperature normalization parameters for each relaxation process are extracted. Finally, a new temperature normalization method is proposed based on the characteristics of each polarization process. Compared to the traditional “master curve” method, this method has higher accuracy in low temperature environments and in conditions with high moisture content. In low temperature, this method maintains high accuracy with a goodness of fit of 0.975 7, compared to 0.952 6 with the traditional method, In samples with high moisture content, the goodness of fit is 0.982 2. At the same time, 5 to 7 more frequency data points are added and full-frequency range correction is achieved, solving the issues of large low-temperature correction errors and insufficient frequency data in the “master curve” method.
田文锐, 任慧敏, 杨定乾, 冯煜轩, 张大宁, 李元, 张冠军. 低温环境下油浸绝缘纸介电响应特性与温度归一化研究[J]. 电工技术学报, 2025, 40(11): 3630-3642.
Tian Wenrui, Ren Huimin, Yang Dingqian, Feng Yuxuan, Zhang Daning, Li Yuan, Zhang Guanjun. Study of Dielectric Response Characteristics and Temperature Normalization of Oil-Paper Insulation in Low Temperature. Transactions of China Electrotechnical Society, 2025, 40(11): 3630-3642.
[1] Tabor D P, Roch L M, Saikin S K, et al.Accelerating the discovery of materials for clean energy in the era of smart automation[J]. Nature Reviews Materials, 2018, 3: 5-20. [2] Momete D C.Analysis of the potential of clean energy deployment in the European union[J]. IEEE Access, 2018, 6: 54811-54822. [3] 陈冲, 贾利民, 赵天宇, 等. 去碳化导向的轨道交通与新能源融合发展: 形态模式、解决方案和使/赋能技术[J]. 电工技术学报, 2023, 38(12): 3321-3337. Chen Chong, Jia Limin, Zhao Tianyu, et al.Decarbonization-oriented rail transportation and renewable energy integration development—configur-ations, solutions, and enabling/empowering technologies[J]. Transactions of China Electrotechnical Society, 2023, 38(12): 3321-3337. [4] 张璐, 李洋, 穆海宝, 等. 冲击电压激励下变压器套管介电响应快速测量方法[J]. 高压电器, 2023, 59(6): 147-153. Zhang Lu, Li Yang, Mu Haibao, et al.Fast measurement method of dielectric response of transformer bushing under impulse voltage excitation[J]. High Voltage Apparatus, 2023, 59(6): 147-153. [5] Liu Jiefeng, Wang Qingyin, Fan Xianhao, et al.Effects of temperature gradient induced aging and moisture distribution on dielectric response measurement for transformer insulation[J]. IEEE Transactions on Instrumentation and Measurement, 2022, 71: 1-10. [6] 陈晓琳, 符小桃, 吴乾东, 等. 基于频域介电谱的油纸绝缘套管局部受潮诊断研究[J]. 电力工程技术, 2022, 41(2): 149-155. Chen Xiaolin, Fu Xiaotao, Wu Qiandong, et al.Partial damp diagnostic method of oil-paper insulating bushing based on frequency domain spectroscopy[J]. Electric Power Engineering Technology, 2022, 41(2): 149-155. [7] 邹阳, 林锦煌, 何津, 等. 基于频谱解构法的油纸绝缘扩展德拜模型参数辨识[J]. 电工技术学报, 2023, 38(3): 622-632. Zou Yang, Lin Jinhuang, He Jin, et al.Parameter identification of oil paper insulation extended Debye model based on spectrum deconstruction method[J]. Transactions of China Electrotechnical Society, 2023, 38(3): 622-632. [8] 罗子秋, 肖黎, 聂伟峰, 等. 极寒条件下纳米SiO2改性变压器油的导热和绝缘特性[J]. 高电压技术, 2022, 48(9): 3542-3550. Luo Ziqiu, Xiao Li, Nie Weifeng, et al.Thermal conductivity and insulation of nano-SiO2 modified transformer oil under extremely low temperatures[J]. High Voltage Engineering, 2022, 48(9): 3542-3550. [9] 池明赫, 陈庆国, 王新宇, 等. 温度对复合电压下油纸绝缘电场分布的影响[J]. 中国电机工程学报, 2015, 35(6): 1524-1532. Chi Minghe, Chen Qingguo, Wang Xinyu, et al.Influence of temperature on electric field distribution of oil-paper insulation under compound voltage[J]. Proceedings of the CSEE, 2015, 35(6): 1524-1532. [10] 马御棠, 束洪春, 钱国超, 等. 基于频域介电谱曲线分解的氧化锌避雷器老化状态评估[J]. 电工技术学报, 2024, 39(3): 901-913. Ma Yutang, Shu Hongchun, Qian Guochao, et al.Method for evaluating the aging state of ZnO arrester based on curve decomposition of frequency domain dielectric spectrum[J]. Transactions of China Electrotechnical Society, 2024, 39(3): 901-913. [11] 张大宁, 白帆, 牛朝滨, 等. 不同受潮类型下油纸绝缘套管的频域介电谱特性[J]. 中国电机工程学报, 2018, 38(16): 4942-4950, 4998. Zhang Daning, Bai Fan, Niu Chaobin, et al.Frequency domain spectroscopy characteristics of oil-paper insulated bushings under different damp types[J]. Proceedings of the CSEE, 2018, 38(16): 4942-4950, 4998. [12] Linhjell D, Lundgaard L, Gafvert U.Dielectric response of mineral oil impregnated cellulose and the impact of aging[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2007, 14(1): 156-169. [13] Liu J, Fan X, Zheng H, et al.Aging condition assessment of transformer oil-immersed cellulosic insulation based upon the average activation energy method[J]. Cellulose, 2019, 26(6): 3891-3908. [14] Zafar R, Gupta N.Dielectric spectroscopy of epoxy-based barium titanate nanocomposites: effect of temperature and humidity[J]. IET Nanodielectrics, 2020, 3(1): 20-27. [15] 王镜然, 王英杰, 庄宏伟, 等. 低压电缆绝缘热氧老化过程中介电响应的Davidson-Cole分析[J]. 电工技术学报, 2023, 38(15): 4030-4039. Wang Jingran, Wang Yingjie, Zhuang Hongwei, et al.Dielectric response during thermal-oxidative aging of low-voltage cable insulation analyzed by Davidson-Cole[J]. Transactions of China Electrotechnical Society, 2023, 38(15): 4030-4039. [16] Chowdhury S, Haque N, Chatterjee S, et al.Temperature compensation of frequency domain spectroscopy measurement for condition assessment of oil-paper insulation[J]. IEEE Transactions on Dielectrics and Electrical Insulation, 2022, 29(1): 255-263. [17] 谢佳成, 董明, 于泊宁, 等. 宽频带油纸绝缘介电响应的全过程谱图提取和定量分析[J]. 中国电机工程学报, 2021, 41(5): 1547-1557. Xie Jiacheng, Dong Ming, Yu Boning, et al.Spectra extraction and quantitative analysis for all independent dielectric processes of oil-paper insulation in broad frequency band[J]. Proceedings of the CSEE, 2021, 41(5): 1547-1557. [18] 谢佳成, 夏昌杰, 董明, 等. 频域介电谱温度归一化微观机理及优化策略研究[J]. 高电压技术, 2021, 47(7): 2416-2424. Xie Jiacheng, Xia Changjie, Dong Ming, et al.Microscopic mechanism and optimized strategy for temperature normalization process of frequency domain spectroscopy[J]. High Voltage Engineering, 2021, 47(7): 2416-2424. [19] 高岩峰, 卢毅, 梁曦东, 等. Kramers-Kronig变换在介电响应分析中的数值计算方法、意义及应用[J]. 中国电机工程学报, 2020, 40(1): 318-329, 398. Gao Yanfeng, Lu Yi, Liang Xidong, et al.Numerical computational method, application and significance of the Kramers-Kronig transform in the analysis of dielectric response[J]. Proceedings of the CSEE, 2020, 40(1): 318-329, 398. [20] 赵孔双. 介电谱方法及应用[M]. 北京: 化学工业出版社, 2008. [21] 刘付德, 凌志远, 熊茂仁. 固体介质中电偶极子介电常数温度特性与能级密度分布关系[J]. 物理学报, 1995, 44(8): 1302-1309. Liu Fude, Ling Zhiyuan, Xiong Maoren.The relationship study between temperature characteristics of dipole permittivities and activation energy density distribution in solid dielectrics[J]. Acta Physica Sinica, 1995, 44(8): 1302-1309. [22] 钟力生, 李盛涛, 徐传骧, 等. 工程电介质物理与介电现象[M]. 西安: 西安交通大学出版社, 2013. [23] 国家质量监督检验检疫总局, 国家标准化管理委员会. 煤的高压等温吸附试验方法: GB/T 19560—2008[S]. 北京: 中国标准出版社, 2009. [24] Liu Tianqi, Aniagor C O, Ejimofor M I, et al.Recent developments in the utilization of modified graphene oxide to adsorb dyes from water: a review[J]. Journal of Industrial and Engineering Chemistry, 2023, 117: 21-37. [25] 李泉浩, 张大宁, 王谦, 等. 气固复合绝缘变压器聚酯材料老化特性研究[J]. 电机与控制学报, 2023, 27(1): 23-32. Li Quanhao, Zhang Daning, Wang Qian, et al.Aging characteristics of polyester material of gas-solid composite insulated transformer[J]. Electric Machines and Control, 2023, 27(1): 23-32. [26] 温福新, 董明, 任明, 等. 基于修正的Havriliak-Negami模型的SiO2纳米改性变压器油宽频介电弛豫特性[J]. 电工技术学报, 2016, 31(7): 166-172. Wen Fuxin, Dong Ming, Ren Ming, et al.The broadband dielectric relaxation properties of the transformer oil based on SiO2 nanoparticles using modified Havriliak-Negami model[J]. Transactions of China Electrotechnical Society, 2016, 31(7): 166-172. [27] 黎枝鑫, 王东阳, 温荣婷, 等. 基于时变指前因子和频域介电谱平移系数的油浸纸热老化评估方法[J]. 电工技术学报, 2022, 37(17): 4487-4496, 4516. Li Zhixin, Wang Dongyang, Wen Rongting, et al.Thermal aging assessment method of oil impregnated paper based on time-varying pre-exponential factor and translation coefficient of frequency domain spectroscopy[J]. Transactions of China Electro-technical Society, 2022, 37(17): 4487-4496, 4516.