Frequency-dependent transformation matrices of phase-domain transmission line models
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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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Key words:
- transmission line theory /
- modal analysis /
- transients /
- distributed parameter networks
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