volume | PIER Journals

Abstract

This paper examines the impact of soil stratification and the frequency dependence (FD) of the Earth's electrical parameters on the transient response of underground cable systems, accounting for both earth-return admittance and impedance. A derivative-free iterative approach is proposed to overcome issues of discontinuous modal transformation matrices that occur at certain frequencies when using conventional diagonalization algorithms. This method ensures smooth and continuous eigenvector tracking. Transient voltages and currents along cables are computed using a modal-domain-based transmission line model combined with Numerical Inverse Laplace Transform (NILT). Simulation results validate the proposed method's accuracy and stability, and highlight the significant influence of the stratified frequency-dependent (SFD) ground under various operating conditions. Finally, a reduced equivalent model of the three-phase underground system is established to facilitate further analysis.

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Dr. Yahia Serbouti

Professor Abderrahman Maaouni