输电线路覆冰机理、预测及融冰技术研究综述A review of research on transmission line icing mechanisms,prediction,and deicing technology
赵威,彭巍屹,周非凡,周正威,杨涛,王媛媛
ZHAO Wei,PENG WeiYi,ZHOU FeiFan,ZHOU Zhengwei,YANG Tao,WANG Yuanyuan
摘要(Abstract):
随着极端天气频发,输电线路覆冰灾害对电网安全运行的威胁日益加剧,输电线路融冰技术已成为当前的研究热点。在此背景下,系统综述了输电线路覆冰机理、预测及融冰技术的研究现状。首先,介绍了输电线路的覆冰机理,揭示了过冷却水滴碰撞冻结、积冰形态变化及微地形-微气象动态作用对覆冰形态演化的影响规律;其次,为提早预知覆冰程度并给融冰预留充足时间,对覆冰预测方法进行了深入分析,对现有方法的原理及差异进行了针对性评述;然后,对三种热力融冰方法的能效特性及其优缺点进行了分析;最后,指出未来研究可聚焦于预测模型与融冰算法的组合以及输电线路不停电融冰,以构建适应新型电力系统的融冰减灾体系。
With the increasing frequency of extreme weather events, transmission line icing disasters pose a growing threat to the safe operation of power grids, making de-icing technology a current research focus. In this context, this paper systematically reviews the state of research on transmission line icing mechanisms, prediction, and de-icing technology. Firstly, the icing mechanisms are introduced, revealing the influence of supercooled water droplet collision and freezing, ice accretion morphology changes, and micro-terrain/micro-meteorological dynamic effects on the evolution of ice shapes. Secondly, to enable early prediction of icing severity and allow sufficient time for de-icing operations, icing prediction methods are analyzed in depth, with targeted commentary on the principles and differences of existing methods. Thirdly, the energy efficiency characteristics, advantages, and disadvantages of three thermal de-icing methods are analyzed. Finally, it is suggested that future research should focus on the integration of prediction models and de-icing algorithms, as well as live-line de-icing techniques for transmission lines, to build a de-icing and disaster mitigation framework adapted to modern power systems.
关键词(KeyWords):
输电线路;覆冰机理;覆冰预测;热力融冰
transmission line;icing mechanism;icing prediction;thermal de-icing
基金项目(Foundation): 国家自然科学基金(52177069);; 株洲电力勘测设计科研有限责任公司创新项目(2024ZKHX614)
作者(Author):
赵威,彭巍屹,周非凡,周正威,杨涛,王媛媛
ZHAO Wei,PENG WeiYi,ZHOU FeiFan,ZHOU Zhengwei,YANG Tao,WANG Yuanyuan
DOI: 10.19585/j.zjdl.202602012
参考文献(References):
- [1]陆佳政,皮新宇,朱思国,等.新型电力系统源网设备典型外部灾害防治挑战与展望[J].新型电力系统,2024(1):36-51.LU Jiazheng,PI Xinyu,ZHU Siguo,et al.Challenges and prospects in prevention and control of typical external disasters power generation and network equipments in the new type power systems[J].New Type Power Systems,2024(1):36-51.
- [2]FARZANEH M. Atmospheric Icing of Power Networks[M].Dordrecht:Springer Netherlands,2008.
- [3]国际电力网.警惕极端天气成为电力“灰犀牛”[EB/OL].(2023-06-09)[2025-05-19]. https://power. in-en.com/html/power-2430651.shtml.
- [4]中国南方电网.抗冰保电暖人心[EB/OL].(2021-12-18)[2025-05-19]. https://www. csg. cn/xwzx/2021/yxcz/202112/t20211228_324568.html.
- [5]湖南省人民政府门户网站.低温冰冻天气持续,毛伟明紧急调度电力保供工作[EB/OL].(2024-02-07)[2025-05-19].https://www.hunan.gov.cn/hnszf/hnyw/tt/202402/t20240207_32844057.html.
- [6]REKUVIENE R,SAEIDIHARZAND S,MA??EIKA L,et al.A review on passive and active anti-icing and de-icing technologies[J].Applied Thermal Engineering,2024,250:123474.
- [7]ZHANG Z J,ZHANG H,YUE S,et al.A review of icing and anti-icing technology for transmission lines[J]. Energies,2023,16(2):601.
- [8]PAUL S,LEE D,KIM K,et al.Nonlinear modeling and performance testing of high-power electromagnetic energy harvesting system for self-powering transmission line vibration deicing robot[J]. Mechanical Systems and Signal Processing,2021,151:107369.
- [9]王耀南,魏书宁,印峰,等.输电线路除冰机器人关键技术综述[J].机械工程学报,2011,47(23):30-38.WANG Yaonan,WEI Shuning,YIN Feng,et al.Review on key technology of de-icing robot running on overhead transmission line[J]. Journal of Mechanical Engineering,2011,47(23):30-38.
- [10]FAN W,ZHANG S H,ZHU W D,et al.An efficient dynamic formulation for the vibration analysis of a multi-span power transmission line excited by a moving deicing robot[J].Applied Mathematical Modelling,2022,103:619-635.
- [11]张辉,杜瑞,钟杭,等.电力设施多模态精细化机器人巡检关键技术及应用[J].自动化学报,2025,51(1):20-42.ZHANG Hui,DU Rui,ZHONG Hang,et al.The key technology and application of multi-modal fine robot inspection for power facilities[J].Acta Automatica Sinica,2025,51(1):20-42.
- [12]潘浩,周仿荣,马仪,等.输电线路覆冰情势与气象要素关联模型研究[J].高压电器,2023,59(12):75-82.PAN Hao,ZHOU Fangrong,MA Yi,et al. Association model for icing situation with meteorological factors for transmission line[J]. High Voltage Apparatus,2023,59(12):75-82.
- [13]陈吉,蒋兴良,陈成瑞,等.基于多相流理论的导线覆冰碰撞特性研究[J].高压电器,2020,56(10):176-182.CHEN Ji,JIANG Xingliang,CHEN Chengrui,et al.Research on the collision characteristics of icing conductor based on the theory of multi-phase flow[J].High Voltage Apparatus,2020,56(10):176-182.
- [14]胡玉耀,刘宗源,李欣,等.正极性直流电场对绝缘子雾凇覆冰的影响机理及覆冰试验验证[J].高电压技术,2024,50(2):793-804.HU Yuyao,LIU Zongyuan,LI Xin,et al.Influence mechanism of positive DC electric field on rime ice accretion on the insulators and its experimental verification[J]. High Voltage Engineering,2024,50(2):793-804.
- [15]BAI X L,LV J S,CAI D C,et al.Comparative differences of physical mechanism model and data-driven model on overhead transmission line icing thickness prediction[C]//2023 IEEE Sustainable Power and Energy Conference(iSPEC). November 28-30,2023,Chongqing,China:IEEE,2024:1-6.
- [16]楼文娟,张跃龙,徐海巍.考虑冰风耦合作用的输电导线脱冰动张力及参数影响分析[J].高电压技术,2022,48(3):1052-1059.LOU Wenjuan,ZHANG Yuelong,XU Haiwei. Dynamic tension following ice shedding and parameters'influence analysis of transmission conductor considering the coupling effect of ice and wind[J].High Voltage Engineering,2022,48(3):1052-1059.
- [17]ZHANG J,MAKKONEN L,HE Q. A 2D numerical study on the effect of conductor shape on icing collision efficiency[J].Cold Regions Science and Technology,2017,143:52-58.
- [18]黄亚飞,蒋兴良,任晓东,等.采用涡流自热环防止输电线路冰雪灾害的方法研究[J].电工技术学报,2021,36(10):2169-2177.HUANG Yafei,JIANG Xingliang,REN Xiaodong,et al.Study on preventing icing disasters of transmission lines by use of eddy self-heating ring[J].Transactions of China Electrotechnical Society,2021,36(10):2169-2177.
- [19]何高辉,胡琴,喻建波,等.导线雨凇覆冰及其直流电晕损失影响因素研究[J].中国电机工程学报,2021,41(24):8610-8619.HE Gaohui,HU Qin,YU Jianbo,et al.Research on the influence factors of conductor glaze icing and corresponding DC corona loss[J]. Proceedings of the CSEE,2021,41(24):8610-8619.
- [20]胡建林,刘杰,蒋兴良,等.基于弧垂测量的综合荷载下导线等值覆冰厚度监测方法[J].高电压技术,2022,48(2):584-593.HU Jianlin,LIU Jie,JIANG Xingliang,et al. Monitoring method for equivalent icing thickness of conductor under complex load based on sag measurement[J].High Voltage Engineering,2022,48(2):584-593.
- [21]贺晓倩,吴先用,魏业文.复杂背景中输电线路不均匀覆冰厚度测量方法[J].电力科学与技术学报,2023,38(3):224-229.HE Xiaoqian,WU Xianyong,WEI Yewen.Measurement method for thickness of uneven icing on transmission line in complex background[J].Journal of Electric Power Science and Technology,2023,38(3):224-229.
- [22]LEI Z F,HU Q,WU H T,et al.Method for monitoring the icing thickness of ground wire using sag measurement technology(iSPEC 2023)[C]//2023 IEEE Sustainable Power and Energy Conference(i SPEC). November 28-30,2023.Chongqing,China:IEEE,2023:1-6.
- [23]DING J Y,HU S L,LI J,et al.Study on the growth model of ice-covered conductors with eight-split under light icing of freezing fog[C]//2023 IEEE Sustainable Power and Energy Conference(i SPEC). November 28-30,2023,Chongqing,China:IEEE,2024:1-7.
- [24]郝艳捧,魏发生,王斌,等.特殊地形下输电线路等值覆冰厚度计算模型有效性分析和改进研究[J].电网技术,2022,46(7):2786-2793.HAO Yanpeng,WEI Fasheng,WANG Bin,et al. Research on validity analysis and improvement of calculation model of equivalent icing thickness of transmission lines under special terrain[J].Power System Technology,2022,46(7):2786-2793.
- [25]邓颖,蒋兴良,张志劲,等.基于DEM分析的输电线路覆冰微地形分类识别及验证方法[J].高电压技术,2024,50(11):4971-4980.DENG Ying,JIANG Xingliang,ZHANG Zhijin,et al.Icing micro-terrain identification and verification method of transmission line based on DEM analysis[J].High Voltage Engineering,2024,50(11):4971-4980.
- [26]姚剑锋,沈国辉,姚旦,等.峡谷和垭口地形风场特征的CFD数值模拟[J].哈尔滨工业大学学报,2016,48(12):165-171.YAO Jianfeng,SHEN Guohui,YAO Dan,et al. CFDBased numerical simulation of wind field characteristics on valley and col terrain[J]. Journal of Harbin Institute of Technology,2016,48(12):165-171.
- [27]胡京,邓颖,蒋兴良,等.输电线路覆冰垭口微地形的特征提取与识别方法[J].中国电力,2022,55(8):135-142.HU Jing,DENG Ying,JIANG Xingliang,et al.Feature extraction and identification method of ice-covered saddle mircotopography for transmission lines[J].Electric Power,2022,55(8):135-142.
- [28]韩兴波,陈孜铭,邢镔,等.采用基本环境参数的导线覆冰预测方法[J].重庆大学学报,2023,46(11):69-77.HAN Xingbo,CHEN Ziming,XING Bin,et al.Prediction model of conductor icing based on basic environmental parameters[J]. Journal of Chongqing University,2023,46(11):69-77.
- [29]高亭.基于微气象的输电线路覆冰预测技术研究[D].北京:华北电力大学,2019.GAO Ting.Research on prediction technology of transmission line icing based on micro-meteorology[D]. Beijing:North China Electric Power University,2019.
- [30]王强,楼文娟,徐海巍,等.考虑时变气象参数的输电导线覆冰数值仿真[J].哈尔滨工业大学学报,2022,54(11):11-21.WANG Qiang,LOU Wenjuan,XU Haiwei,et al.Numerical simulation of icing on transmission conductors considering time-varying meteorological parameters[J].Journal of Harbin Institute of Technology,2022,54(11):11-21.
- [31]HUAI X W,LI B,HUANG L W,et al.Forecast overhead transmission lines icing based on weighted regression of multiple meteorological factors[C]//2023 International Conference on Smart Electrical Grid and Renewable Energy(SEGRE). June 16-19,2023,Changsha,China.IEEE,2023:329-334.
- [32]郝艳捧,王信媛,梁苇,等.连续3天覆冰微气象数据驱动的架空输电线路覆冰类型识别与预测[J].南方电网技术,2023,17(6):107-116.HAO Yanpeng,WANG Xinyuan,LIANG Wei,et al.Ice types identification and prediction of overhead transmission lines driven by micro-meteorological data of three consecutive days icing[J].Southern Power System Technology,2023,17(6):107-116.
- [33]王传琦,伍历文,邓志斌,等.时间累积架空输电线路覆冰预测模型与算法综述[J].中国电力,2024,57(6):153-164.WANG Chuanqi,WU Liwen,DENG Zhibin,et al. Review of icing prediction model and algorithm for overhead transmission lines considering time cumulative effects[J].Electric Power,2024,57(6):153-164.
- [34]IMAI I.Studies on ice accretion[J].Researches on Snow and Ice,1953,3(1):35-44.
- [35]LENHARD R W Jr.An indirect method for estimating the weight of glaze on wires[J].Bulletin of the American Meteorological Society,1955,36(1):1-5.
- [36]MAKKONEN L.Heat transfer and icing of a rough cylinder[J]. Cold Regions Science and Technology,1985,10(2):105-116.
- [37]韩兴波,蒋兴良,毕聪来,等.基于分散型旋转圆导体的覆冰参数预测[J].电工技术学报,2019,34(5):1096-1105.HAN Xingbo,JIANG Xingliang,BI Conglai,et al.Prediction of icing environment parameters based on decentralized rotating conductors[J].Transactions of China Electrotechnical Society,2019,34(5):1096-1105.
- [38]JEONG D I,SUSHAMA L,VIEIRA M J F,et al.Projected changes to extreme ice loads for overhead transmission lines across Canada[J]. Sustainable Cities and Society,2018,39:639-649.
- [39]LI L X,LUO D,YAO W H.Analysis of transmission line icing prediction based on CNN and data mining technology[J].Soft Computing,2022,26(16):7865-7870.
- [40]蒋兴良,常恒,胡琴,等.输电线路综合荷载等值覆冰厚度预测与试验研究[J].中国电机工程学报,2013,33(10):177-183JIANG Xingliang,CHANG Heng,HU Qin,et al.Prediction and experimental study on combined load equivalent ice thickness of overhead transmission line[J].Proceedings of the CSEE,2013,33(10):177-183.
- [41]刘宏伟,陆佳政,赖旬阳,等.输电线路覆冰厚度短期多变量灰色预测模型研究[J].高电压技术,2015,41(10):3372-3377.LIU Hongwei,LU Jiazheng,LAI Xunyang,et al. Shortterm multi-variable grey model in predicting icing thickness on transmission lines[J].High Voltage Engineering,2015,41(10):3372-3377.
- [42]庄文兵,祁创,熊小伏,等.计及气象因素时间累积效应的输电线路覆冰预测[J].电力系统保护与控制,2019,47(17):6-13.ZHUANG Wenbing,QI Chuang,XIONG Xiaofu,et al.Transmission line icing forecast considering the time cumulative effect of meteorological factors[J]. Power System Protection and Control,2019,47(17):6-13.
- [43]何青,李军辉,邓梦妍,等.架空输电导线覆冰冻结系数计算及其影响因素分析[J].电工技术学报,2019,34(19):4162-4169.HE Qing,LI Junhui,DENG Mengyan,et al. Calculation and influencing factors of icing freezing coefficient of overhead transmission line[J].Transactions of China Electrotechnical Society,2019,34(19):4162-4169.
- [44]刘国特,郝艳捧,阳林,等.基于改进Messinger覆冰模型导线防冰临界电流计算及其影响因素分析[J].电工技术学报,2016,31(18):176-183.LIU Guote,HAO Yanpeng,YANG Lin,et al.Caculation and influencing factors analysis of conductor anti-icing critical current based on improved messinger icing model[J].Transactions of China Electrotechnical Society,2016,31(18):176-183.
- [45]马富齐,王波,董旭柱,等.面向输电线路覆冰厚度辨识的多感受野视觉边缘智能识别方法研究[J].电网技术,2021,45(6):2161-2169.MA Fuqi,WANG Bo,DONG Xuzhu,et al. Receptive field vision edge intelligent recognition for ice thickness identification of transmission line[J].Power System Technology,2021,45(6):2161-2169.
- [46]LU J Z,LI L,XU X J,et al.An analysis of the reliability of a new dataset of transmission line icing thickness in Southern China[J].Journal of Applied Meteorology and Climatology,2019,58(2):413-426.
- [47]LUO J S,LIU D C,WU J,et al.A novel differentiation sectionalized strengthen planning method for transmission line based on support vector regression[J]. Neural Computing and Applications,2019,31(8):4319-4329.
- [48]陶慧,贺国帅,杨金显,等.覆冰导线振动数据降噪及状态识别[J].传感技术学报,2023,36(12):1935-1942.TAO Hui,HE Guoshuai,YANG Jinxian,et al.Noise reduction and state identification of icing conductor vibration data[J].Chinese Journal of Sensors and Actuators,2023,36(12):1935-1942.
- [49]WANG B,MA F Q,GE L J,et al.Icing-EdgeNet:a pruning lightweight edge intelligent method of discriminative driving channel for ice thickness of transmission lines[J].IEEE Transactions on Instrumentation and Measurement,2021,70:2501412.
- [50]SONG Y,ERMON S.Generative modeling by estimating gradients of the data distribution[J].In Advances in Neural Information Processing Systems,2019,32:1-12.
- [51]AHAMED M A,CHENG Q.TimeMachine:A Ti-me Series is Worth 4 Mambas for Long-term Forecasting[EB/OL][2025-05-12].https://arxiv.org/pdf/2403.09898.
- [52]MA H Y,CHEN Y S,ZHAO W L,et al.A mamba foundation model for time series forecasting[EB/OL][2025-05-12].https://arxiv.org/abs/2411.02941.
- [53]管敏渊,姚瑛,吴圳宾,等.基于RBF神经网络的储能VSG控制策略优化[J].浙江电力,2024,43(3):55-64.GUAN Minyuan,YAO Ying,WU Zhenbin,et al.Optimization of energy storage VSG Control strategy based on RBF neural networks[J].Zhejiang Electric Power,2024,43(3):55-64.
- [54]SNAIKI R, JAMALI A, RAHEM A, et al. A metaheuristic-optimization-based neural network for icing prediction on transmission lines[J].Cold Regions Science and Technology,2024,224:104249.
- [55]马晓红,穆青青,曾华荣,等.不同影响因素下的导线与绝缘子覆冰特性[J].高电压技术,2019,45(9):2904-2910.MA Xiaohong,MU Qingqing,ZENG Huarong,et al.Icecovered characteristics of conductor and insulator under different influence factors[J]. High Voltage Engineering,2019,45(9):2904-2910.
- [56]沈锋,艾永俊,周朝荣,等.输电线路防冰及除冰技术研究现状[J].云南电力技术,2023,51(1):18-22.SHEN Feng,AI Yongjun,ZHOU Chaorong,et al. Research status of transmission line anti-icing and de-icing technology[J]. Yunnan Electric Power,2023,51(1):18-22.
- [57]张璐,李晨语,蔡永翔,等.考虑潮流越限风险的柔性交流配电网融冰优化策略[J].电力系统自动化,2022,46(16):160-169.ZHANG Lu,LI Chenyu,CAI Yongxiang,et al. Optimal de-icing strategy for flexible AC distribution network considering risk of power flow over limit[J]. Automation of Electric Power Systems,2022,46(16):160-169.
- [58]陆佳政,李波,张红先,等.新型交直流融冰装置在湖南电网的应用[J].南方电网技术,2009,3(4):77-79.LU Jiazheng,LI Bo,ZHANG Hongxian,et al.Application of new-type AC and DC de-icers in Hunan power grid[J].Southern Power System Technology,2009,3(4):77-79.
- [59]曹军,邓元实.四川电网配电网交流融冰方法应用研究[J].四川电力技术,2017,40(4):59-60.CAO Jun,DENG Yuanshi. Application research on AC ice-melting method to distribution network in Sichuan power grid[J].Sichuan Electric Power Technology,2017,40(4):59-60.
- [60]杨芳,侯宇凝.交流融冰方法在粤北山区的应用研究[J].通信电源技术,2020,37(1):13-17.YANG Fang,HOU Yuning. Application research of AC ice melting method in mountainous area of northern Guangdong[J]. Telecom Power Technology,2020,37(1):13-17.
- [61]李再华,白晓民,周子冠,等.电网覆冰防治方法和研究进展[J].电网技术,2008,32(4):7-13.LI Zaihua,BAI Xiaomin,ZHOU Ziguan,et al.Prevention and treatment methods of ice coating in power networks and its recent study[J].Power System Technology,2008,32(4):7-13.
- [62]LU J Z,ZENG M,ZENG X J,et al. Analysis of icecovering characteristics of China Hunan power grid[J].IEEE Transactions on Industry Applications,2015,51(3):1997-2002.
- [63]焦震,杜鹏,汪晓,等.500 kV超高压输电线路负荷交流融冰研究[J].电力系统及其自动化学报,2021,33(2):97-101.JIAO Zhen,DU Peng,WANG Xiao,et al.Study on AC ice melting of 500 kV EHV transmission lines[J].Proceedings of the CSU-EPSA,2021,33(2):97-101.
- [64]YAN M Y,SHAHIDEHPOUR M,PAASO A,et al.Distribution system resilience in ice storms by optimal routing of mobile devices on congested roads[J].IEEE Transactions on Smart Grid,2021,12(2):1314-1328.
- [65]杨旗,班国邦,谢百明,等.移相变压器应用于输电线路在线融冰方法与仿真研究[J].电网技术,2021,45(8):3349-3355.YANG Qi,BAN Guobang,XIE Baiming,et al. De-icing method and simulation of phase-shifting transformer for on-load transmission lines[J].Power System Technology,2021,45(8):3349-3355.
- [66]唐爱红,杨熠,杨惠源,等.基于非接触耦合式潮流控制器的不停电融冰装置拓扑及控制方法研究[J].中国电机工程学报,2023,43(22):8666-8674.TANG Aihong,YANG Yi,YANG Huiyuan,et al. Research on topology and control method of uninterrupted ice melting device based on non-contact coupling power flow controller[J]. Proceedings of the CSEE,2023,43(22):8666-8674.
- [67]王勇,苗虹,莫思特,等.高压架空输电线路防冰、融冰、除冰技术研究综述[J].电力系统保护与控制,2020,48(18):178-187.WANG Yong,MIAO Hong,MO Site,et al.Summary of research on anti-ice, ice melting and de-icing of high voltage overhead transmission lines[J].Power System Protection and Control,2020,48(18):178-187.
- [68]张璐,李新民,李伟,等.特高压直流线路带电融冰系统研制及工程应用[J].高压电器,2024,60(3):214-222.ZHANG Lu,LI Xinmin,LI Wei,et al.Development and project application of live ice-melting system for UHVDC transmission lines[J]. High Voltage Apparatus,2024,60(3):214-222.
- [69]杨红江,周建庭,吴生炎,等.风电送出线路固定式直流融冰方法研究[J].光源与照明,2025(1):168-170.
- [70]付广旭,卢东斌,张靖,等.特高压直流在线融冰技术及其工程应用[J].电气技术,2024,25(4):77-84.FU Guangxu,LU Dongbin,ZHANG Jing,et al.Online ice melting technology for ultra high voltage direct current system and its engineering application[J].Electrical Engineering,2024,25(4):77-84.
- [71]李红坤,陈芳芳,刘韦妤,等.高压直流输电系统融冰能力的分析与研究[J].电工技术,2019(5):13-14.LI Hongkun,CHEN Fangfang,LIU Weiyu,et al.Analysis and research of ice-melting capability of HVDC transmission system[J].Electric Engineering,2019(5):13-14.
- [72]LEVCHENKO I I,SATSUK E I,SHOVKOPLYAS S S. Intellectual ice melting system on wires of overhead transmission lines of distribution electric networks[C]//2019 International Russian Automation Conference(RusAutoCon). September 8-14,2019. Sochi,Russia:IEEE,2019:1-7.
- [73]彭志勇,周羽生,何洋,等.输电导线高频激励融冰的临界电流分析[J].高压电器,2021,57(5):108-114.PENG Zhiyong,ZHOU Yusheng,HE Yang,et al.Analysis of critical current for high-frequency excitation de-icing transmission line[J]. High Voltage Apparatus,2021,57(5):108-114.
- [74]周羽生,陈佩瑶,高小刚,等.基于高频高压激励法的输电线路融冰方法研究[J].电瓷避雷器,2011(6):1-4.ZHOU Yusheng,CHEN Peiyao,GAO Xiaogang,et al.Research on transmission line de-icing method based on high-frequency and high-voltage excitation[J]. Insulators and Surge Arresters,2011(6):1-4.
- [75]马晓红,代洲,周羽生,等.基于集肤效应和介质损耗的输电线路高频融冰研究[J].电瓷避雷器,2019(2):175-180.MA Xiaohong,DAI Zhou,ZHOU Yusheng,et al. Research on transmission line high frequency de-icing based on skin effect and dielectric loss[J].Insulators and Surge Arresters,2019(2):175-180.
- [76]陆佳政,蒋兴良,鲁先龙,等.电网大范围冰冻灾害预防与治理关键技术及成套装备[R].[2025-05-19],2013.
- [77]王爽,马天缘,唐波,等.非均匀覆冰下输电导线的非均匀脱冰动力特性[J/OL].高压电器,2024:1-18[2026-02-09]. https://link. cnki. net/urlid/61.1127. TM. 20241216.1512.002.WANG Shuang,MA Tianyuan,TANG Bo,et al. Dynamic Characteristics of Non-uniform Ice-shedding of Transmission Lines Under Non-uniform Icing[J/OL].High Voltage Apparatus,2024:1-18[2026-02-09].https://link.cnki.net/urlid/61.1127.TM.20241216.1512.002.
- [78]江桂芬,徐加银,刘浩,等.考虑风机惯量支撑及有功备用的新能源电力系统优化调度模型[J].浙江电力,2024,43(5):53-62.JIANG Guifen,XU Jiayin,LIU Hao,et al. An optimal scheduling model for new energy power systems considering wind turbine inertia support and active power reserve[J].Zhejiang Electric Power,2024,43(5):53-62.