A single-phase cable model based on lumped-parameters for transient calculations in the time domain

In this paper, a single phase frequency-dependent cable model based on lumped-parameters is introduced to simulate transient phenomena in power systems. The model is mathematically robust and the cable represented with cascaded developed π-sections. The frequency dependence of the cable parameters is reproduced by means of vector fitting algorithms and implemented through an RL-network in the π-sections. Comparison between the proposed model and the model with distributed-parameters in the frequency domain is presented. The influence of the number of π-sections is also evaluated. A numerical solution to the differential equations of the proposed model is used to calculate in the time domain. The outcomes of the proposed and J-Marti cable models are compared with measured results. It can be seen that the proposed model has a better match with the measured data.