Classification of networks based on inherent structural characteristics

This paper seeks to identify and classify power system networks based on their inherent definitive structural property. The participation between the load buses is observable from the eigenvectors obtained from a Schur complement of the Y-admittance matrix. This is used to classify power system networks as either topologically strong or weak. Results show that in a topologically weak network, load voltages are below the nominal voltage limit. Conversely, in a topologically strong network they are above the nominal limit.

[1]  R. Cottle Manifestations of the Schur complement , 1974 .

[2]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[3]  G. J. Berg,et al.  VAR Planning for Power System Security , 1989, IEEE Power Engineering Review.

[4]  D. Thukaram,et al.  Relative electrical distance concept for evaluation of network reactive power and loss contributions in a deregulated system , 2009 .

[5]  G. J. Berg,et al.  Determination of voltage stability limit in multimachine power systems , 1988 .

[6]  John T. Agee,et al.  Optimal location of network devices using a novel inherent network topology based technique , 2011, IEEE Africon '11.

[7]  G. Carpinelli,et al.  Inherent structure theory of networks and power system harmonics , 1998 .

[8]  J. W. Resende,et al.  The inherent structure theory of networks and admittance matrix sparsity relationship , 2002, 10th International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.02EX630).

[9]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[10]  Jianzhou Liu,et al.  Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds , 2005, SIAM J. Matrix Anal. Appl..

[11]  Jianzhou Liu,et al.  Some properties of Schur complements and diagonal-Schur complements of diagonally dominant matrices☆ , 2008 .

[12]  A. V. Meier Electric power systems : a conceptual introduction , 2006 .

[13]  D. Carlson What are Schur complements, anyway? , 1986 .