北京航空航天大学学报 ›› 2008, Vol. 34 ›› Issue (10): 1151-1154.

• 论文 • 上一篇    下一篇

相域输电线路模型中的频率相关转换矩阵

范圣韬1, 李夏青2, 李运华1   

  1. 1. 北京航空航天大学 自动化科学与电气工程学院, 北京 100191;
    2. 北京石油化工学院 电气工程系, 北京102617
  • 收稿日期:2007-10-10 出版日期:2008-10-30 发布日期:2010-09-16
  • 作者简介:范圣韬(1981-),男,山东菏泽人,博士生,fst66@asee.buaa.edu.cn.
  • 基金资助:

    北京市教育委员会科技发展计划资助项目; 北京市自然科学基金会重点资助项目(KZ200510017012)

Frequency-dependent transformation matrices of phase-domain transmission line models

Fan Shengtao1, Li Xiaqing2, Li Yunhua1   

  1. 1. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
    2. Electrical Engineering Department, Beijing Institute of Petrochemical Technology, Beijing 102617, China
  • Received:2007-10-10 Online:2008-10-30 Published:2010-09-16

摘要: 首先针对使用传统算法得到的频率相关转换矩阵元素存在突变点的问题,提出一种新算法用于消除频率相关转换矩阵元素的突变点.新算法先使用传统算法计算出每个频率点的转换矩阵,再通过一个基于最优化原理的平滑过程消除转换矩阵中元素的突变点.通过不换位双回三相输电线路算例,验证了新算法的有效性.在此基础上,利用消除突变点的频率相关转换矩阵分别计算特征导纳矩阵和传播矩阵,通过对比分析,近一步阐明了频率相关转换矩阵中元素的突变点对特征导纳矩阵连续性具有较大影响,而对传播矩阵连续性的影响很小.

Abstract: A new algorithm for evaluating the frequency-dependent transformation matrices as smooth functions of frequency is presented. The new algorithm firstly calculates the frequency-dependent transformation matrices at each frequency point using conventional algorithms; a special smoothing procedure based on optimization is then used to eliminate the inevitable jumps. The validity of the algorithm is verified with a double-circuit untransposed three-phase transmission line example. To analysis how the characteristic admittance matrices and the propagation matrices are affected by the jumps of the elements in the frequency-dependent transformation matrices, the smooth frequency-dependent transformation matrices are used to calculate the characteristic admittance matrices and the propagation matrices, which shows that the characteristic admittance is sensitive to the jumps while the propagation matrices not.

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