A loop based approach to analytical multi-core cable modelling

This paper presents a loop based formulation for the impedance and admittance matrices of multi-core cables. Previous studies using the finite element method have demonstrated the validity of this formulation, but have not demonstrated a systematic method of constructing the impedance and admittance matrices for simulation. These matrices for cables, with and without enclosing armours, are derived in this paper. Analytical examples are provided to demonstrate how each component impedance and admittance is incorporated into the loop based approach. This includes the proximity effects within the multi-core cables. The methods used in the analytical examples to calculate each component impedance and admittance can be modified without change to the demonstrated loop based formulation. This applies even if more advanced techniques are developed to calculate these components. The models presented in this paper are valid only in TEM propagation range, giving a frequency range up to 10MHz.