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基于有限元模型的谐波对钢芯铝绞线载流量影响的定量分析
引用本文:刘承锡,王雪宝,韩江北.基于有限元模型的谐波对钢芯铝绞线载流量影响的定量分析[J].科学技术与工程,2023,23(8):3316-3322.
作者姓名:刘承锡  王雪宝  韩江北
作者单位:武汉大学电气与自动化学院
基金项目:国家自然科学基金(52007133);
摘    要:伴随着新能源与电力电子设备的广泛接入,输电线路的谐波问题愈发突出。针对谐波对输电线路载流量的影响机理不清,定量分析手段匮乏等突出问题,提出了一种评估谐波对钢芯铝绞线(aluminum con-ductor steel reinforced, ACSR)载流量影响的新方法。首先,通过使用贝塞尔函数求解ACSR的麦克斯韦方程组,推导ACSR内部电流密度分布的表达式,从而解析化的表征谐波与ACSR载流量间的作用机理。基于此,进一步利用热平衡方程建立输电线路载流量的解析表达式,从而定量评估谐波热效应对载流量的影响。理论分析结果表明:谐波的存在会降低ACSR的最大载流量,其作用机理为谐波下的交流电阻会使线路电阻增大,导致在同等线路温度下基波所产生的热量极值减小,从而使得最大载流量进一步降低。最后,在COMSOL软件中建立了ACSR的二维有限元模型,通过注入不同分量的谐波来验证该方法的有效性和准确性。

关 键 词:钢芯铝绞线(ACSR)  谐波  贝塞尔函数  输电线路  有限元模型
收稿时间:2022/8/12 0:00:00
修稿时间:2023/1/2 0:00:00

Quantitative Analysis of the Impact of Harmonics on Ampacity of ACSR Using Finite Element Analysis
Liu Chengxi,Wang Xuebao,Han Jiangbei.Quantitative Analysis of the Impact of Harmonics on Ampacity of ACSR Using Finite Element Analysis[J].Science Technology and Engineering,2023,23(8):3316-3322.
Authors:Liu Chengxi  Wang Xuebao  Han Jiangbei
Affiliation:School of Electrical Engineering and Automation, Wuhan University
Abstract:With the extensive access of new energy and power electronic equipment, the harmonic problem of transmission lines becomes more and more prominent. In view of the obvious problems such as unclear mechanism and lack of quantitative analysis methods, this paper proposes a new method to evaluate the impact of harmonics on the ampacity of aluminum conductor steel reinforced (ACSR). First, the Bessel function is used to solve the Maxwell equations of the ACSR to derive the expression of distribution of current density for the ACSR, so as to analytically characterize the mechanism of action between harmonics and ampacity of ACSR. Based on it, the analytical expression of transmission line ampacity is established by using the heat balance equation, so as to quantitatively evaluate the impact of harmonic heating on ampacity. The theoretical analysis results show that the existence of harmonics will reduce the maximum ampacity of ACSR, and its mechanism is that the AC resistance under harmonics will increase the line resistance, resulting in the decrease of the heat extremum generated by the fundamental wave at the same line temperature, so as to further reduce the maximum ampacity. Finally, a two-position finite element model of ACSR was established in COMSOL to verify the effectiveness and accuracy of the proposed approach by injecting different harmonic distortion.
Keywords:Aluminum conductor steel reinforced (ACSR)  Harmonic  Bessel function  Transmission line  The finite element model
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