Calculation of Bending Effects on the Lumped Inductance for Cables Using the Line Current Model

This paper presents a semi-analytical method to calculate the bending effects on cable inductance at low frequencies using the line current model (LCM). To deal with the divergent items of the self-inductance obtained by the LCM, some cautious treatments are adopted to counteract the divergent terms between the straightened LCM and bent LCM, leading to a semi-analytical formula for the inductance deviation of the parallel-pair cable. The LCM is then applied to the coaxial cable in collaboration with the decomposition of the conductors, to take into account the mutual inductance among the portions of each conductor. The results of the proposed semi-analytical method are compared with those obtained by the finite element method (FEM), which validates the accuracy of the method. Furthermore, the dependence of the inductance deviation on cable parameters is illuminated for reference of realistic inductance determination.