Frequency-dependent modeling of three-phase power cables for electromagnetic transient simulations

This paper proposes a methodology for modeling and simulating electromagnetic transients in power transmission cables with arbitrary cross-sections, usually applied in offshore power transmission and variable speed machine drive. This way, a sector-shaped cable is modeled taken into account its frequency-dependent parameters. Both impedance and admittance parameters are calculated by using the Finite Element Method, without analytic formulations based on the approach by an equivalent cylindrical cross-section, which leads to several inaccuracies. In sequence, the cable is decoupled into its four propagation modes by using an approximate modal transformation matrix with real and constant terms. Finally, each mode is modeled directly in the time domain by equivalent electric circuits, in which the lumped circuit elements are obtained from the rational function approach and fitting techniques.