|
|
The Influence of Harmonic Current on The Loss and Temperature Distribution Characteristics of a Converter Transformer Winding |
Tan Youbo1, Yu Xiaoling2, Zang Ying3, Wang Haotian4, Li Junhao4 |
1. School of Energy and Power Engineering Xi’an Jiaotong University Xi’an 710049 China; 2. School of Chemical Engineering and Technology Xi’an Jiaotong University Xi’an 710049 China; 3. Shandong Electric Power Equipment Co. Ltd Jinan 250022 China; 4. State Key Laboratory of Electrical Insulation and Power Equipment Xi’an Jiaotong University Xi’an 710049 China |
|
|
Abstract Since the harmonic current aggravated the local overheating and insulation aging of converter transformer windings, studying the influence of harmonic current on the loss and temperature distribution characteristics of windings attributed to improve the stability of transformer operation and prolong its service life. Accurate thermal modeling was critical for this study. However, there were different degrees of simplifications in the existing numerical calculation models of winding temperature. Moreover, most of current research focused on the influence of harmonic current on the loss and hot-spot temperature values, whereas there was a lack of quantitative analysis on the influence of harmonic current on the loss and temperature distribution characteristics of windings. To address these issues, this study improved winding temperature numerical calculation model, and based on this improved model, the influence of harmonic current on the loss and temperature distribution characteristics of windings was investigated. Firstly, a novel simplification method of disc was developed and an electromagnetic-thermo-flow coupling numerical model of a full-scale valve-side winding of a converter transformer practically applied in engineering was established, in which the key factors affecting the calculation accuracy of the winding temperature were comprehensively considered. The model was validated by both measured and literature results. Secondly, the losses and temperature of the winding under the fundamental wave and rated conditions were calculated, respectively. Finally, the influence of harmonic current on the loss and temperature distribution characteristics of the winding was quantitatively analyzed. The results showed that compared with the non-simplified model, the axial heat transfer rate of the simplified model established by the simplification method of disc proposed in this study was almost the same, and the deviation of the radial heat transfer rate was within 2%. Moreover, compared with the fundamental wave condition, under the rated condition, along the axial direction, the losses of the first to fourth disc in winding top increased by 64.86%, 51.29%, 43.06% and 37.45%, respectively, and the losses of the first to fourth disc in winding bottom increased by 65.71%, 53.55%, 45.49% and 40.36%, respectively. And along the radial direction, the total losses of each disc unit column increased by 41.69%, 32.61%, 24.83%, 18.87% and 15.40% from the innermost to the outermost column. Besides, under the fundamental wave condition, the winding hot-spot and mean temperatures were 81.7℃ and 74.3℃, respectively. The difference of winding temperature distribution along the radial direction was not obvious. By contrast, under the rated condition, the winding hot-spot and mean temperatures were 90.3℃ and 77.8℃, respectively. The winding temperature was unevenly distributed along the radial direction, and the hot spot was concentrated on the winding inside. The following conclusions were drawn: ① The simplification method of disc proposed in this study was accurate for calculating the heat transfer of the disc. Compared with the traditional simplification method, i.e. electrothermal analogy, adopting the simplification method proposed in this study, not only the huge workload of establishing thermal resistance network was avoided and the computational hardness was lowered, but also this method was applicable to the special-shaped disc structure. ② The uncertainty caused by partial simplification of existing numerical calculation models was reduced after adopting the multi-physics coupling model established in this work. ③ Compared with the fundamental wave condition, the harmonic current intensified the eddy current effect of the end and radial inside disc unit, which increased the losses of the end and radial inside disc unit. ④ Compared with the fundamental wave condition, the harmonic current made winding temperature unevenly distributed along the radial direction, and the hot spot was concentrated on the winding inside. The hot spot and mean temperatures were increased by 8.6℃ and 3.5℃, respectively.
|
Received: 10 November 2021
|
|
|
|
|
[1] 李冰, 王泽忠, 刘恪, 等. 特高压变压器直流偏磁对绕组电流的影响[J]. 电工技术学报, 2020, 35(7): 1422-1431. Li Bing, Wang Zezhong, Liu Ke, et al.Research on winding current of UHV transformer under DC-bias[J]. Transactions of China Electrotechnical Society, 2020, 35(7): 1422-1431. [2] 刘骥, 张明泽, 赵春明, 等. 基于频域介电响应分频段优化计算的变压器油纸绝缘老化参数定量计算方法[J]. 电工技术学报, 2020, 35(9): 2020-2031. Liu Ji, Zhang Mingze, Zhao Chunming, et al.Quanti-tative calculation method of transformer oil-paper insulation aging parameters based on frequency dielectric spectrum frequency range optimized calculation[J]. Transactions of China Electrotechnical Society, 2020, 35(9): 2020-2031. [3] 张良县, 陈模生, 彭宗仁, 等. 非正弦负载电流下特高压换流变压器绕组的谐波损耗分析[J]. 中国电机工程学报, 2014, 34(15): 2452-2459. Zhang Liangxian, Chen Mosheng, Peng Zongren, et al.Study on the harmonic losses of UHV converter transformer windings subject to non-sinusoidal load current[J]. Proceedings of the CSEE, 2014, 34(15): 2452-2459. [4] 谢裕清, 李琳, 宋雅吾, 等. 油浸式电力变压器绕组温升的多物理场耦合计算方法[J]. 中国电机工程学报, 2016, 36(21): 5957-5965, 6040. Xie Yuqing, Li Lin, Song Yawu, et al.Multi-physical field coupled method for temperature rise of winding in oil-immersed power transformer[J]. Proceedings of the CSEE, 2016, 36(21): 5957-5965, 6040. [5] Zhang Xiang, Wang Zhongdong, Liu Qiang, et al.Numerical investigation of oil flow and temperature distributions for ON transformer windings[J]. Applied Thermal Engineering, 2018, 130: 1-9. [6] 苏小平, 陈伟根, 胡启元, 等. 基于解析-数值技术的变压器绕组温度分布计算[J]. 高电压技术, 2014, 40(10): 3164-3170. Su Xiaoping, Chen Weigen, Hu Qiyuan, et al.Calculation for transformer winding temperature distribution by numerical analytical technology[J]. High Voltage Engineering, 2014, 40(10): 3164-3170. [7] 马永强, 刘刚, 李德波, 等. 绕组损耗分布对油浸式变压器温升的影响分析[J]. 华北电力大学学报(自然科学版), 2018, 45(3): 34-43. Ma Yongqiang, Liu Gang, Li Debo, et al.Analyses of effect of winding loss distribution on temperature rise of oil-immersed transformer[J]. Journal of North China Electric Power University (Natural Science Edition), 2018, 45(3): 34-43. [8] 王永强, 马伦, 律方成, 等. 基于有限差分和有限体积法相结合的油浸式变压器三维温度场计算[J]. 高电压技术, 2014, 40(10): 3179-3185. Wang Yongqiang, Ma Lun, Lü Fangcheng, et al.Calculation of 3D temperature field of oil immersed transformer by the combination of the finite element and finite volume method[J]. High Voltage Engin-eering, 2014, 40(10): 3179-3185. [9] 曾非同, 关向雨, 黄以政, 等. 基于多尺度多物理场的油浸式变压器流动-传热数值研究[J]. 电工技术学报, 2020, 35(16): 3436-3444. Zeng Feitong, Guan Xiangyu, Huang Yizheng, et al.Numerical study on flow-heat transfer of oil-immersed transformer based on multiple-scale and multiple-physical fields[J]. Transactions of China Electrotechnical Society, 2020, 35(16): 3436-3444. [10] 王泽忠, 李明洋, 宣梦真, 等. 单相四柱式变压器直流偏磁下的温升试验及仿真分析[J]. 电工技术学报, 2021, 36(5): 1006-1013. Wang Zezhong, Li Mingyang, Xuan Mengzhen, et al.Temperature rise test and simulation of single-phase four-column transformer under DC-bias[J]. Transa-ctions of China Electrotechnical Society, 2021, 36(5): 1006-1013. [11] 李永建, 闫鑫笑, 张长庚, 等. 基于磁-热-流耦合模型的变压器损耗计算和热点预测[J]. 电工技术学报, 2020, 35(21): 4483-4491. Li Yongjian, Yan Xinxiao, Zhang Changgeng, et al.Numerical prediction of losses and local overheating in transformer windings based on magnetic-thermal-fluid model[J]. Transactions of China Electro-technical Society, 2020, 35(21): 4483-4491. [12] Smolka J, Nowak A J.Experimental validation of the coupled fluid flow, heat transfer and electromagnetic numerical model of the medium-power dry-type electrical transformer[J]. International Journal of Thermal Sciences, 2008, 47(10): 1393-1410. [13] Tenbohlen S, Schmidt N, Breuer C, et al.Investi-gation of thermal behavior of an oil-directed cooled transformer winding[J]. IEEE Transactions on Power Delivery, 2018, 33(3): 1091-1098. [14] 井永腾, 王宁, 李岩, 等. 电磁-热-流弱耦合的变压器绕组温升研究[J]. 电机与控制学报, 2019, 23(10): 41-48. Jing Yongteng, Wang Ning, Li Yan, et al.Research on temperature rise of transformer windings with electromagnetic-thermal-flow weak coupling[J]. Electric Machines and Control, 2019, 23(10): 41-48. [15] Tan Youbo, Yu Xiaoling, Ji Shengchang, et al.Para-metric study and optimization of a full-scale converter transformer winding[J]. International Journal of Heat and Mass Transfer, 2021, 181: 121861. [16] 蔡国伟, 孔令国, 潘超, 等. 基于频变特性的变压器谐波损耗分析[J]. 电网技术, 2011, 35(11): 120-124. Cai Guowei, Kong Lingguo, Pan Chao, et al.Harmonic loss analysis of transformer based on frequency dependent characteristics[J]. Power System Technology, 2011, 35(11): 120-124. [17] 张占龙, 王科, 李德文, 等. 变压器谐波损耗计算及影响因素分析[J]. 电力系统保护与控制, 2011, 39(4): 68-72, 78. Zhang Zhanlong, Wang Ke, Li Dewen, et al.Transformer harmonic loss calculation and influence factor analysis[J]. Power System Protection and Control, 2011, 39(4): 68-72, 78. [18] 李琼林, 邹磊, 刘会金, 等. 电力变压器谐波损耗仿真计算与实验研究[J]. 电网技术, 2013, 37(12): 3521-3527. Li Qionglin, Zou Lei, Liu Huijin, et al.Simulation calculation and experimental research on harmonic losses in power transformers[J]. Power System Technology, 2013, 37(12): 3521-3527. [19] 刘书铭, 施红, 冯蕾. 考虑集肤效应与邻近效应的变压器谐波损耗模型[J]. 电力自动化设备, 2015, 35(3): 133-139. Liu Shuming, Shi Hong, Feng Lei.Transformer harmonic loss model considering skin effect and proximity effect[J]. Electric Power Automation Equipment, 2015, 35(3): 133-139. [20] 马铁军, 刘念, 张云红, 等. 谐波对油浸式变压器顶层油温和绕组热点温度影响的研究[J]. 变压器, 2012, 49(6): 26-29. Ma Tiejun, Liu Nian, Zhang Yunhong, et al.Research on influence of harmonic wave to top oil temperature and winding hot spot temperature in oil-immersed transformer[J]. Transformer, 2012, 49(6): 26-29. [21] 周卫华, 万代, 江红成, 等. 谐波电流下油浸式配电变压器负载损耗及绕组热点温度分析[J]. 高压电器, 2018, 54(9): 135-141. Zhou Weihua, Wan Dai, Jiang Hongcheng, et al.Analysis of load loss and winding hot spot tempera-ture of oil immersed distribution transformer under harmonic current[J]. High Voltage Apparatus, 2018, 54(9): 135-141. [22] Dao T, Phung B T.Study of voltage harmonic effect on temperature rise in distribution transformer[C]//2016 IEEE International Conference on Power System Technology (POWERCON), Wollongong, NSW, Australia, 2016: 1-5. [23] Zhang Jie, Cheng Lin, Wen Hao, et al.Simulation analysis of the influence of harmonics current on the winding temperature distribution of converter trans-former[C]//2021 6th Asia Conference on Power and Electrical Engineering (ACPEE), Chongqing, China, 2021: 1566-1571. [24] Wu Jie, Liu Cong, Zhang Xianliang, et al.Influence of harmonic current on the winding loss and temperature distribution of AC transformer[C]//2021 6th Asia Conference on Power and Electrical Engin-eering (ACPEE), Chongqing, China, 2021: 1492-1498. [25] 叶建新, 黄健豪, 张禄亮, 等. 东莞配电网谐波对配电变压器危害分析[J]. 电力自动化设备, 2011, 31(7): 146-149. Ye Jianxin, Huang Jianhao, Zhang Luliang, et al.Analysis of harmonic harm to distribution trans-formers[J]. Electric Power Automation Equipment, 2011, 31(7): 146-149. [26] 于岭. 直流偏磁及谐波条件下换流变压器温升的计算[D]. 沈阳: 沈阳工业大学, 2017. [27] 王婷婷. 电力变压器绕组的涡流损耗和温升研究[D]. 天津: 河北工业大学, 2014. [28] Zhang Yunpeng, Ho S L, Fu Weinong, et al.Numerical study on natural convective heat transfer of nanofluids in disc-type transformer windings[J]. IEEE Access, 2019, 7: 51267-51275. |
|
|
|