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�������պ����ѧѧ�� 2008, Vol. 34 Issue (10) :1151-1154    DOI:
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��ʥ�1, ������2, ���˻�1*
1. �������պ����ѧ �Զ�����ѧ���������ѧԺ, ���� 100191;
2. ����ʯ�ͻ���ѧԺ ��������ϵ, ����102617
Frequency-dependent transformation matrices of phase-domain transmission line models
Fan Shengtao1, Li Xiaqing2, Li Yunhua1*
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

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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.
Keywords�� transmission line theory   modal analysis   transients   distributed parameter networks     
Received 2007-10-10;
Fund:

�����н���ίԱ��Ƽ���չ�ƻ�������Ŀ; ��������Ȼ��ѧ������ص�������Ŀ(KZ200510017012)

About author: ��ʥ�(1981-),��,ɽ��������,��ʿ��,fst66@asee.buaa.edu.cn.
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��ʥ�, ������,���˻�.���������·ģ���е�Ƶ�����ת������[J]  �������պ����ѧѧ��, 2008,V34(10): 1151-1154
Fan Shengtao, Li Xiaqing,Li Yunhua.Frequency-dependent transformation matrices of phase-domain transmission line models[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2008,V34(10): 1151-1154
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