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基于矢量矩阵束方法的大型接地网暂态分析
引用本文:于刚,邹军,郭剑,何金良,曾嵘.基于矢量矩阵束方法的大型接地网暂态分析[J].清华大学学报(自然科学版),2004,44(4):458-461.
作者姓名:于刚  邹军  郭剑  何金良  曾嵘
作者单位:清华大学电机工程与应用电子技术系,北京,100084
基金项目:国家自然科学基金资助项目(50207005)
摘    要:为快速准确地计算接地网的暂态响应,提出了一种基于场路耦合的接地网暂态计算模型。该模型将接地网划分成若干导体段,对导体段采用自感和互感参数以模拟接地网导体的感性耦合,导体段间的阻性耦合和容性耦合则采用电磁场理论中似稳电流场的方法予以分析。基于上述模型,利用电磁暂态计算程序(EMTP)可得到任意电流波形激励情况下接地网暂态响应的时域波形。为进一步提高暂态接地网的分析效率,采用矢量矩阵束方法外推接地网暂态时域响应,借助矩阵束方法,将接地网暂态响应表示成一系列复指数项的叠加,提高计算效率、抑止单纯时域方法导致的接地网晚时响应的数值振荡。通过与CurrentDistributionElec-tromagneticInterferenceGroundingandSoilStructureAnalysis(CDEGS)软件计算结果的比较,验证了该文方法的正确性和有效性。该文模型提供接地网与EMTP软件的接口,可显著提高变电站电磁兼容问题的分析效率。

关 键 词:接地网  暂态  矢量矩阵束方法
文章编号:1000-0054(2004)04-0458-04
修稿时间:2003年4月14日

Fast analysis of transient voltagesin large grounding systems using matrix pencil methods
YU Gang,ZOU Jun,GUO Jian,HE Jinliang,ZENG Rong.Fast analysis of transient voltagesin large grounding systems using matrix pencil methods[J].Journal of Tsinghua University(Science and Technology),2004,44(4):458-461.
Authors:YU Gang  ZOU Jun  GUO Jian  HE Jinliang  ZENG Rong
Abstract:A transient analysis model of a large grounding system was developed by coupling the circuit analysis with an electromagnetic analysis. First, the grounding system was divided into fictitious segments with ohmic resistances and self and mutual inductances. Secondly, the coupled networks were connected to simulate the conductive and capacitive effects of the grounding systems. Then, the transient response to an arbitrary current waveform was obtained using EMTP. The computation was accelerated using the matrix pencil approach to extrapolate the time-domain responses. Modeling the transient time functions as the sum of complex exponentials greatly reduces the computational time and effectively suppresses instabilities that may arise at later times. The proposed method was validated by comparison with results calculated by CDEGS. The model provides a very simple interface to EMTP and can rapidly calculate transients for large scale grounding systems for EMC and lighting protection studies that involve electronic systems connected to grounding systems.
Keywords:grounding system  transient  vector matrix pencil method  
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