一种扇形芯线截面三芯电力电缆表面磁场的等效计算方法
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摘要
为解决扇形芯线截面三芯电力电缆表面磁场难以计算的问题,文中提出了一种扇形芯线截面三芯电力电缆表面磁场的等效计算方法。依据等效原理,采用两个对称线电流,模拟单相电流在扇形截面芯线中的分布;根据安培环路定理,确定单相电流对扇形芯线截面三芯电力电缆表面磁场的贡献;利用局部坐标和向量合成法,确定了扇形芯线截面三芯电力电缆表面的磁感应强度,建立了扇形芯线截面三芯电力电缆表面磁场与三相电流之间的物理数学模型,给出了用于计算扇形芯线截面三芯电力电缆表面磁场的解析表达式。电磁场有限元仿真试验和等效模型计算的结果表明,所建立的等效模型具有满足需求的准确性,对扇形芯线截面三芯电力电缆表面磁场的计算具有指导价值。
In order to solve the problem that it is difficult to calculate the magnetic field on the surface of a three-core power cable with sector cores,this paper presents an equivalent calculation method for the surface magnetic field of a three-core power cable with sector cores. According to the principle of equivalence,two symmetrical line currents are used to simulate the distribution of single-phase current in a sector core. According to the Ampere loop theorem,the contribution of the single-phase current to the magnetic field distribution on the surface of a three-core power cable with sector cores is determined. Using the local coordinates and vector synthesis method,the magnetic flux density of the three-core power cable cross-section of the sector core wire was determined. The physical-mathematical model between the surface magnetic field and the three-phase current of a three-core power cable with sector cores was established. The analytical expression for calculating the magnetic field on the surface of a three-core power cable with sector cores was presented. The results of electromagnetic field finite element simulation and equivalent model calculation show that the established equivalent model has good accuracy and has guiding value for calculating the magnetic field on the surface of the three-core power cable with sector cores.
In order to solve the problem that it is difficult to calculate the magnetic field on the surface of a three-core power cable with sector cores,this paper presents an equivalent calculation method for the surface magnetic field of a three-core power cable with sector cores. According to the principle of equivalence,two symmetrical line currents are used to simulate the distribution of single-phase current in a sector core. According to the Ampere loop theorem,the contribution of the single-phase current to the magnetic field distribution on the surface of a three-core power cable with sector cores is determined. Using the local coordinates and vector synthesis method,the magnetic flux density of the three-core power cable cross-section of the sector core wire was determined. The physical-mathematical model between the surface magnetic field and the three-phase current of a three-core power cable with sector cores was established. The analytical expression for calculating the magnetic field on the surface of a three-core power cable with sector cores was presented. The results of electromagnetic field finite element simulation and equivalent model calculation show that the established equivalent model has good accuracy and has guiding value for calculating the magnetic field on the surface of the three-core power cable with sector cores.
引文
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[2]Barber K W,Marazzato H.Reliable undergrounding of electricity supply in Asia[C].Asia Pacific Conf.MV Power Cable Technologies,Kuala Lumpur Malaysia,2005:6-8.
[3]周远翔,赵健康,刘睿,等.高压/超高压电力电缆关键技术分析及展望[J].高电压技术,2014,40(9):2593-2612.
[4]袁燕岭,李世松,董杰,等.电力电缆诊断检测技术综述[J].电测与仪表,2016,(11):1-7.
[5]Ouyang Y,He J,Hu J,et al.A current sensor based on the giantmagnetoresistance effect:Design and potential smart grid applications[J].Sensors,2012,12(11):15520-15541.
[6]何金良,嵇士杰,刘俊,等.基于巨磁电阻效应的电流传感器技术及在智能电网中的应用前景[J].电网技术,2011,35(5):8-14.
[7]袁燕岭,李世松,董杰,等.用磁传感器测量三芯对称电缆相电流的方法[J].中国测试,2016,42(8):29-32.
[8]李世松,袁燕岭,董杰,等.一种计算三芯电力电缆表面磁场的解析方法[J].中国测试,2017,43(4):95-99.
[9]Yuan Y,Dong J,Gan J,et al.A three-core power cable online monitoring system based on phase current sensing[C].Instrumentation and Measurement Technology Conference(I2MTC),2017 IEEE International,2017:1-6.
[10]高俊杰,卢宇.采用扇形导体降低三芯交联电缆的制造成本[J].电线电缆,2004,(5):47-48.