Development of a cable analysis theory based on integral equation derivation

Sammanfattning: Electrification of transportation is a major subject of research today, especially in air travel. The increasing number of electronics and cables also increases the interference between them. From this, interest grew to increase the accuracy of electromagnetic modeling of cables. This thesis will continue the development of a new cable model based on multiconductor transmission lines theory, including the inhomogeneity along the length of a cable, something often ignored for simplifications. Previous work had been done, creating a base for capacitance computation of the 3-dimensional model, however, without cable insulation. The aim of this thesis was to present the capacitance computations for the 3-dimensional model with shielding, as well as to incorporate the inductance computations. To compute the capacitance, analytical derivations were made, deriving the electrical potential as well as introducing a boundary condition along the displacement vector and therefore, the electric field, through the outer boundary of the insulation. The analytical derivations were then incorporated into MATLAB to numerically compute the resulting capacitance matrix. The results acquired during this thesis are inconclusive due to the results varying depending on the method of presentation. To resolve why, a few methods of comparison were used to unveil a possible error. The conclusion was that the inconclusive results could be due to a syntax error or a possible error within the transforming of the capacitance matrix. This project will continue after this thesis and look into the possible reasons behind the inconsistencies to complete the capacitance computations.