特高压试验线段无线电干扰驻波3维分布计算
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摘要
特高压试验线段是模拟特高压输电线路电晕特性的一种手段,受试验线段长度以及末端开路的影响,电晕电流在空间形成无线电干扰驻波。对试验线段无线电干扰的驻波进行研究,是获得实际线路产生的无线电干扰的基础。鉴于此,采用CISPR推荐的激发函数产生量,求出了单点电晕电流注入量;根据试验线段的电气参数,求得了观测点相对于注入点的传递函数;根据特高压试验线段的末端开路的情况,对注入点电晕电流对计算点的传递函数进行了化简;基于有损大地模型,计算了三相试验线段阻抗导纳矩阵;基于模变换理论,最终求解得到了特高压单回路试验线段下方无线电干扰的3维驻波。计算结果表明,有效计算长度741 m的特高压单回路试验线段,电晕电流产生的0.5 MHz无线电干扰驻波有3个波峰;3 MHz的无线电干扰驻波有15个波峰。无线电干扰驻波的幅值、波峰和波谷出现位置与试验线段的长度和频率均有关系。
UHV test lines can be used to simulate corona performance of actual UHV power transmission line. Because test lines have the characteristics of short length and open end, radio interference caused by the test lines is different from that by the transmission line in the process of investigating the standing wave in the space. However,investigating the standing wave of radio interference of test line is the basis to obtain the radio interference value of actual transmission line. Therefore,we used the excitation function recommended by CISPR to calculate the injection corona current. Then, we used the electric parameters of the test line to build a transfer function for the current of the injection point and the calculation point. According to the open end of the test line, the transform function of the current injection point and the calculation point was simplified; Based on the lossy ground theory, the impedance and admittance matrix of three-phase test line were calculated; Based on the model transformation theory, the three-dimensional radio interference standing wave of the test line was calculated. The calculation results are as follows: The effective length of UHV test line is 741 m; For 0.5 MHz, there exit 3 peaks on the standing wave of radio interference in the space; For 3 MHz, there exit 15 peaks on the standing wave of radio interference in the space. The amplitude, the position of peaks, and troughs of standing wave have influences on the length and frequency of the test lines.
UHV test lines can be used to simulate corona performance of actual UHV power transmission line. Because test lines have the characteristics of short length and open end, radio interference caused by the test lines is different from that by the transmission line in the process of investigating the standing wave in the space. However,investigating the standing wave of radio interference of test line is the basis to obtain the radio interference value of actual transmission line. Therefore,we used the excitation function recommended by CISPR to calculate the injection corona current. Then, we used the electric parameters of the test line to build a transfer function for the current of the injection point and the calculation point. According to the open end of the test line, the transform function of the current injection point and the calculation point was simplified; Based on the lossy ground theory, the impedance and admittance matrix of three-phase test line were calculated; Based on the model transformation theory, the three-dimensional radio interference standing wave of the test line was calculated. The calculation results are as follows: The effective length of UHV test line is 741 m; For 0.5 MHz, there exit 3 peaks on the standing wave of radio interference in the space; For 3 MHz, there exit 15 peaks on the standing wave of radio interference in the space. The amplitude, the position of peaks, and troughs of standing wave have influences on the length and frequency of the test lines.
引文
[1]杨迎建,唐剑,伍志荣.特高压交流试验基地的建设[J].高电压技术,2007,33(11):6-9.YANG Yingjian,TANG Jian,WU Zhirong.Construction of UHV test base[J].High Voltage Engineering,2007,33(11):6-9.
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[6]Moreau M R,Gary C H.Predetermination of the radio interference level of high voltage transmission lines II:field calculating method[J].IEEE Transactions on Power Apparatus and Systems,1972,91(1):292-304.
[7]CISPR Publication 18-1 Radio interference characteristics of overhead power lines and high-voltage equipment,part 1:description of phenomena[S],1982.
[8]CISRP Publication 18-2 Radio interference characteristics of overhead power lines and high-voltage equipment,part 2:methods of measurement and procedure for determining limits[S],1986.
[9]CISPR Publication 18-3 Radio interference characteristics of overhead power lines and high-voltage equipment,part 1:description of phenomena[S],1982.
[10]唐剑,杨迎建,何金良,等.1 000 kV级特高压交流电晕笼设计关键问题探讨[J].高电压技术,2007,33(4):1-5.TANG Jian,YANG Yingjian,HE Jinliang,et al.Discussion on key design of 1 000 kV UHV AC corona cage[J].High Voltage Engineering,2007,33(4):1-5.
[11]Perz M C.Method of evaluating corona noise generation from measurements on short test lines[J].IEEE Transactions on Power Apparatus and Systems,1963,82(12):833-844.
[12]Maruvada P S.Corona performance of high-voltage transmission lines[M].Baldock,Herfordshire,England:Research Studies Press Limited,2000:252-254.
[13]Rachidi F,Nucci C A,Ianoz M.Transient analysis of multiconductor lines above a lossy ground[J].IEEE Transactions on Power Delivery,1999,14(1):294-302.
[14]Guru B S,Hiziroglu H R.电磁场与电磁波[M].周克定,张肃文,董天临,等,译.北京:机械工业出版社,2000:290-337.Guru B S,Hiziroglu H R.Electromagnetic field theory fundamentals[M].ZHOU Keding,ZHANG Suwen,DONG Tianlin,et al.translated.Beijing,China:China Machine Press,2000:290-337.
[15]卓金武.MATLAB在数学建模中的应用[M].北京:北京航空航天大学出版社,2011.ZHUO Jinwu.MATLAB in mathematical modeling[M].Beijing,China:Beijing University of Astronautics Press,2011.
[16]刘保柱,苏彦华,张宏林.MATLAB 7.0从入门到精通[M].北京:人民邮电出版社,2010.LIU Baozhu,SU Yanhua,ZHANG Honglin.MATLAB 7.0 from entry to master[M].Beijing,China:Posts and Telecom Press,2010.
[2]李三,苏巍,赵全江,等.1 000 kV特高压交流试验基地试验线段设计概述[J].电力建设,2008,29(1):1-3.LI San,SU Wei,ZHAO Quanjiang,et al.Overview of the design of test line of UHV test base[J].Electric Power Construction,2008,29(1):1-3.
[3]路遥,干喆渊,陈豫朝,等.特高压试验线段与实际线路产生的电场和可听噪声的等效性分析[J].高电压技术,2011,37(2):354-359.LU Yao,GAN Zheyuan,CHEN Yuchao,et al.Consistency analysis between the electric field and audible noise caused by UHV test line and UHV transmission line[J].High Voltage Engineering,2011,37(2):354-359.
[4]Juette G W,Zaffanella L E.Radio noise currents and audible noise on short sections of UHV bundles conductors[J].IEEE Transactions on Power Apparatus and Systems,1970,89(5):902-913.
[5]Moreau M R,Gary C H.Predetermination of the radio interference level of high voltage transmission lines I:predetermination of the excitation function[J].IEEE Transactions on Power Apparatus and Systems,1972,91(1):284-291.
[6]Moreau M R,Gary C H.Predetermination of the radio interference level of high voltage transmission lines II:field calculating method[J].IEEE Transactions on Power Apparatus and Systems,1972,91(1):292-304.
[7]CISPR Publication 18-1 Radio interference characteristics of overhead power lines and high-voltage equipment,part 1:description of phenomena[S],1982.
[8]CISRP Publication 18-2 Radio interference characteristics of overhead power lines and high-voltage equipment,part 2:methods of measurement and procedure for determining limits[S],1986.
[9]CISPR Publication 18-3 Radio interference characteristics of overhead power lines and high-voltage equipment,part 1:description of phenomena[S],1982.
[10]唐剑,杨迎建,何金良,等.1 000 kV级特高压交流电晕笼设计关键问题探讨[J].高电压技术,2007,33(4):1-5.TANG Jian,YANG Yingjian,HE Jinliang,et al.Discussion on key design of 1 000 kV UHV AC corona cage[J].High Voltage Engineering,2007,33(4):1-5.
[11]Perz M C.Method of evaluating corona noise generation from measurements on short test lines[J].IEEE Transactions on Power Apparatus and Systems,1963,82(12):833-844.
[12]Maruvada P S.Corona performance of high-voltage transmission lines[M].Baldock,Herfordshire,England:Research Studies Press Limited,2000:252-254.
[13]Rachidi F,Nucci C A,Ianoz M.Transient analysis of multiconductor lines above a lossy ground[J].IEEE Transactions on Power Delivery,1999,14(1):294-302.
[14]Guru B S,Hiziroglu H R.电磁场与电磁波[M].周克定,张肃文,董天临,等,译.北京:机械工业出版社,2000:290-337.Guru B S,Hiziroglu H R.Electromagnetic field theory fundamentals[M].ZHOU Keding,ZHANG Suwen,DONG Tianlin,et al.translated.Beijing,China:China Machine Press,2000:290-337.
[15]卓金武.MATLAB在数学建模中的应用[M].北京:北京航空航天大学出版社,2011.ZHUO Jinwu.MATLAB in mathematical modeling[M].Beijing,China:Beijing University of Astronautics Press,2011.
[16]刘保柱,苏彦华,张宏林.MATLAB 7.0从入门到精通[M].北京:人民邮电出版社,2010.LIU Baozhu,SU Yanhua,ZHANG Honglin.MATLAB 7.0 from entry to master[M].Beijing,China:Posts and Telecom Press,2010.