民用航空通信系统在甚高频(Very High Frequency, VHF)频段承担着关键的飞行指挥、调度和地空通信任务，因此其频谱环境的干扰问题至关重要。针对电气化铁路对民用航空移动业务VHF频段内的潜在电磁干扰，本文基于实测点频数据，提出了一种计算列车通过普通点和电分相处电磁发射的方法。首先，根据国际标准CISPR16-1测试列车电磁发射数据，并换算至10米法；采用关于频率的对数形式的回归方程对数据进行拟合；最后基于贝叶斯优化的支持向量回归方法对回归方程的系数进行求解，以增强该方程对列车产生的电场随机数据描述能力。结果表明，在航空移动业务频段内，所提方法用于描述列车通过普通点和电分相位置处产生的电磁发射时，较传统的最小二乘方法分别将可决策系数从0.84和0.82提高至0.98和0.94，更加适用于对回归方程系数的求解；所提方法在处理实测数据的随机性方面具有较强的鲁棒性，可为民用航空电磁干扰特性分析及干扰抑制设计与决策提供了理论支持。
The civil aviation communication system undertakes key flight command, dispatching and ground-to-air communica-tion tasks in the very high frequency (VHF) band, so the interference problem in its spectrum environment is crucial. In response to the potential electromagnetic interference of electrified railways on civil aviation mobile services in the VHF band, this paper proposes a method for solving electromagnetic emissions when trains pass through ordinary points and electrical phase separation based on measured point frequency data. Firstly, according to the international standard CISPR16-1, the electromagnetic emission data of the train is tested and converted to result of the 10 meter method; Then a logarithmic regression equation about frequency is used to fit the data; Finally, the support vector regression method based on Bayesian optimization is used to solve the coefficients of the regression equation, in or-der to enhance the ability of the regression equation to describe the random data of electric field generated by the train. The results show that within the frequency band of aviation mobile services, the proposed method, when applied to describe the electromagnetic emissions generated by trains passing through ordinary points and electrical phase positions, increases the decidable coefficients from 0.84 and 0.82 to 0.98 and 0.94, respectively, compared to the tra-ditional least squares method, making it more suitable for solving regression equation coefficients; The proposed method has strong robustness in handling the randomness of measured data, which can provide theoretical support for the analysis of electromagnetic interference characteristics and interference suppression design and decision-making in civil aviation.
[1] 鲁合德, 张强. 高铁弓网电弧对飞机进近着陆的电磁干扰影响[J]. 航空学报, 2020, 41 (10): 339-347.
LU H D, ZHANG Q. EMI effect of pantograph catenary arc of highspeed railway on aircraft approach landing[J]. Acta Aero-nautica et Astronautica Sinica, 2020, 41(10): 324036 (in Chi-nese).
[2] ZHANG Z, LI K, ZHANG Z, et al. A thyristor-based auto-passing neutral section scheme with auxiliary transformers for AC electrified railway[J]. IEEE Transactions on Transportation Electrification, 2023, 9(2): 2296-2307.
[3] 张明志,杨轶轩,金梦哲,等. 弓网分离时刻牵引电流相位对弓网离线电磁骚扰影响研究 [J]. 中国铁道科学, 2023, 44 (02): 151-158.
ZHANG M Z, YANG Y X, JIN M Z, et al. Study on the influence of traction current phase on the off line electromagnetic disturb-ance of pantograph-catenary at the time of pantograph-catenary separation[J]. China Railway Science, 2023, 44(2): 151-158 (in Chinese).
[4] LIU Y, QUAN W, LU X M, et al. A novel arcing detection model of pantograph-catenary for high-speed train in complex scenes[J]. IEEE Transactions on Instrumentation and Measure-ment, 2023, 72(501201): 1-13.
[5] GAO G Q, YAN X, YANG Z, et al. Pantograph–catenary arcing detection based on electromagnetic radiation[J]. IEEE Transac-tions on Electromagnetic Compatibility, 2019, 61(4): 983-989.
[6] 牛大鹏, 朱 峰, 邱日强, 等. 高铁离线电弧射频和车内低频电磁暴露的特性研究[J]. 高电压技术, 2016, 42(8): 2587-2595.
NIU D P, ZHU F, QIU R Q, et al. Study on the characteristics of off-line arc’s radio-frequency and low-frequency electromagnet-ic exposure inside the high speed rail train[J]. High Voltage En-gineering, 2016, 42(8): 2587-2595 (in Chinese).
[7] 刘志勇, 刘引川, 朱峰, 等. 弓网离线电弧对机场ADS-B地面站系统电磁骚扰测试与分析[J]. 电子测量与仪器学报, 2018, 32 (02): 56-61.
Liu Z Y, LIU Y C, ZHU F, et al. Test and analysis of off-line arc in pantograph catenary on electromagnetic disturbance of air-port ADS-B ground station system [J]. Journal of Electronic Measurement and Instrumentation, 2018, 32 (02): 56-61 (in Chinese).
[8] 杨中平, 吴命利. 轨道交通电气化概论[M]. 北京: 中国铁道出版社, 2013: 89-91.
YANG ZHOGNPING, WU MINGLI. Introduction of rail transit electrification[M]. Beijing: China Railway Publishing House, 2013: 89-91 (in Chinese)．
[9] 李虹, 张冲默, 王作兴, 等. 高速列车供电系统电磁干扰形成机理与抑制方法综述 [J]. 中国电机工程学报, 2023, 43 (08): 3137-3154.
LI H, ZHANG C, WANG Z, et al. Review of EMI mechanism and suppression methods in power supply system of high-speed train[J]. Proceedings of the CSEE, 2023, 43 (08): 3137-3154 (in Chinese).
[10] 铁道部工程设计鉴定中心. 通信线路及其他设施电磁干扰防护工程设计指南[M]. 北京: 中国铁道出版社, 2009: 65-74.
Engineering Design and Appraisal Center of the Ministry of Railways. Design guidelines for electromagnetic interference protection engineering of communication lines and other facili-ties[M]. Beijing: China Railway Press, 2009: 65-74 (in Chinese).
[11] 新华社. 我国高铁达到4.5万公里[EB/OL]. (2024-01-09). [2024-05-25.] https://www.gov.cn/yaowen/liebiao/202401/content_6925054.htm.
The Xinhua News Agency. The national railway operating mile-age has reached 45000 kilometers[EB/OL]. (2024-01-09). [2024-05-25.] https://www.gov.cn/yaowen/liebiao/202401/content_6925054.htm.
[12] 唐毓涛. 高速列车弓网离线电弧模型特性及电磁干扰研究[D]. 西南交通大学, 2021.
TANG Y T. Research on model characteristics and EMI of pan-tograph-catenary arc of the high speed train[D]. Southwest Jiao-tong University, 2021 (in Chinese).
[13] 朱峰, 高晨轩, 唐毓涛. 弓网电弧对机场终端全向信标台电磁骚扰的影响[J]. 中国铁道科学, 2018, 39(1): 116-121.
ZHU F, GAO C X, TANG Y T. Influence of pantograph-catenary arc on electromagnetic disturbance of airport terminal omnidi-rectional beacon[J]. China Railway Science, 2018, 39(1): 116-121 (in Chinese).
[14] 杨晓嘉, 朱峰, 邱日强, 等. 弓网电弧辐射特性及对机场下滑信标的影响[J]. 航空学报, 2018, 39(1): 321252.
YANG X J, ZHU F, QIU R Q, et al. Radiation characteristics of pantograph catenary arc and its influence on airport glide bea-con[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(1): 321252 (in Chinese).
[15] 梁飞, 効迎春, 鲁楠, 等. 电分相电弧对全向信标电磁辐射特性的分析[J]. 航空学报, 2020, 41(8): 323705.
LIANG F, XIAO Y C, LU N, et al. Characteristics analysis of electromagnetic emission on VOR caused by neutral section arcs[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(8): 323705 (in Chinese).
[16] 中国民用航空局. 甚高频地空通信地面系统第一部分: 话音通信系统技术规范: MH/T 4001.1-2016[S]. 北京：中国标准出版社, 2016.
Civil Aviation Administration of China. Ground system of VHF air-ground communication Part 1: Technical specification for voice communication system: MH/T 4001.1-2016[S]. Beijing: Chinese Standard Press, 2016 (in Chinese).
[17] 苟江川, 朱峰, 邹杰, 等.弓网电弧对航空器仪表着陆系统的电磁干扰影响研究[J]. 铁道学报, 2018, 40(7): 61-66.
GOU J C, ZHU F, ZOU J, et al. Research on EMI of instrument landing system on aircraft caused by pantograph arc[J]. Journal of the China Railway Society, 2018, 40(7): 61-66 (in Chinese).
[18] International Electrotechnical Commission. Specification for radio disturbance and immunity measuring apparatus and meth-ods -Part 1-1: Radio disturbance and immunity measuring appa-ratus - Measuring apparatus: CISPR 16-1-1-2015[S]. Geneva: IEC, 2015.
[19] 中华人民共和国铁道部. 轨道交通电磁兼容第2 部分: 整个轨道系统对外界的发射: GB/T 24338.2-2011[S]. 北京: 中国标准出版社, 2011.
Railway Ministry of the People’s Republic of China. Railway applications-Electromagnetic compatibility-Part 2: Emission of the whole railway system to the outside word: GB/T 24338.2-2011[S]. Beijing: Chinese Standard Press, 2011 (in Chinese).
[20] 顾翔. 基于贝叶斯支持向量回归机的稳健参数设计及其应用研究[D]. 南京邮电大学, 2023.
GU X. Research and application of robust parameter design based on Bayesian optimization support vector regression[D]. Nanjing University of Posts and Telecommunications, 2023 (in Chinese).
[21] WANG D, WANG C, XIAO J, et al. Bayesian optimization of support vector machine for regression prediction of short-term traffic flow[J]. Intelligent Data Analysis, 2019, 23(2), 481-497.
[22] 中华人民共和国工业和信息化部. 航空无线电导航台(站)电磁环境要求: GB/T 6364-2013[S]. 北京: 中国标准出版社, 2013.
Ministry of Industry and Information Technology of the People's Republic of China. Electromagnetic environment requirements for aeronautical radio navigation stations: GB/T 6364-2013 [S]. Beijing: Chinese Standard Press, 2013 (in Chinese).
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