无损耗传输线物理模拟集总电路级联数目确定方法.pdf

第 37 卷 第 9 期 中 国 电 机 工 程 学 报 Vol.37 No.9 May 5, 2017 2017 年 5 月 5 日 Proceedings of the CSEE ©2017 Chin.Soc.for Elec.Eng. 2561 DOI ：10.13334/j.0258-8013.pcsee.162633 文章编号：0258-8013 (2017) 09-2561-10 中图分类号：TM 743 无损耗传输线物理模拟的集总电路 级联数目确定方法 崔翔 (新能源电力系统国家重点实验室(华北电力大学) ，北京市 昌平区 102206) Chained Number of Lumped-circuits for Physical Analogy of the Lossless Transmission Lines CUI Xiang (State Key Laboratory of Alternate Electrical Power System With Renewable Energy Sources, North China Electric Power University, Changping District, Beijing 102206, China) ABSTRACT: The physical analogy method of power system is 程。对于长距离输电线路的物理模拟，如直流输电或半波长 the most important test one to understand characteristic of 交流输电线路等，主要采用由Π型或 T 型电路级联构成的集 power system and to check performance of relay and control 总等效电路，级联电路的数目主要根据经验或仿真计算确 devices, because it may really recurrence the system’s physical 定，缺乏一般的解析公式。该文提出了无损耗传输线物理模 process. In order to implement physical analogy of 拟的集总等效定理，通过对无损耗传输线的空间离散并求解 long-distance power transmission lines such as HVDC or 差分—微分方程，获得了Π型或 T 型电路的级联数目与传输 half-wave length HVAC ones, in general, the equivalent 线长度、最高频率、延迟时间及其相对误差的解析公式。采 lumped-circuits consisted of some chained Π-type or T-type 用该解析公式，可以根据物理模拟精度等实际需求，确定Π circuits are used in laboratory. However, the chained number of 型或 T 型电路的数目。最后，以某 1000kV 三相半波长输 Π-type or T-type circuits mainly was determined based on the 电线路的物理模拟为例，仿真验证了文中集总等效定理的正 researcher’s experiences or numerical simulation of the 确性。 transmission lines. The author had not found general