Transient and steady state solution of n-dimensional coupled networks and development of equivalent pi and t matrix networks with distributed parameters
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
4th International Conference on Power Engineering, Energy and Electrical Drives Istanbul, Turkey
Abstract
This paper proposes a new computer based method for
transient and steady state solution of n-dimensional coupled
transmission line networks or communication circuits with
distributed parameters. In this method, a novel approach has
been developed for formulating and computing the ndimensional
generalized ABCD parameter matrices, as well as
for developing and solving the equivalent n-dimensional coupled
T and Pi networks with distributed parameters. The proposed
method uses Cayley-Hamilton’s theorem to compute the
hyperbolic N-dimensional generalized ABCD parameter matrices
with finite terms which are fundamental to the solution and
development of the equivalent N-dimensional T and Pi matrix
networks. The square root function of the complex matrix [W] is
also computed with finite terms. As a result, truncation of
matrices is eliminated, and an improved closed from solution is
achieved. The method is straight forward, computationally
efficient, and neither it involves the use of eigenvector based
modal transformations necessary for diagonalization of
parameter matrices nor it requires the evaluation of infinite
series of hyperbolic functions with n-dimensional matrices as
their arguments, and is extremely useful in the steady state and
transient analysis of n-dimensional, unbalanced, coupled systems
with distributed parameters. The method is extremely useful in
the fault analysis of n-dimensional unbalanced coupled systems
with distributed parameters. To date no such method is reported
in the literature.
Description
Keywords
N-phase Transmission Lines, Fault Analysis, Hyperbolic Functions of N-Dimensional Matrices, ABCD Parameter Matrices
Citation
Bhatti, A. A. (2013). Transient and steady state solution of N-dimensional coupled networks and development of equivalent Pi and T matrix networks with distributed parameters. Paper presented at the Power Engineering, Energy and Electrical Drives (POWERENG), 2013 Fourth International Conference on.