Implementation of nonhomogeneous theory in the transient analysis of crossbonded cable systems

Abstract
The paper concerns the implementation of recently developed nonhomogeneous theory to the transient analysis of crossbonded cable systems. This theory shows that wave propagation along a chain of identical major sections may be treated in much the same way as wave propagation along a homogeneous system. Computational requirements are then essentially independent of the actual system length, thereby overcoming the major deficiency of classical recursive methods. However, to implement the theory, it is first necessary to determine the natural propagation characteristics associated with a single major section. Methods suggested hitherto have been based on the manipulation of the nodal admittance matrix. Unfortunately this matrix is not well conditioned and serious numerical difficulties are encountered. A new approach to the implementation of nonhomogeneous theory is given in the paper. This approach, which avoids the nodal admittance matrix altogether, is inherently stable for computational purposes.

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