Series-impedance of underground transmission systems

Mitigation of the magnetic field due to underground power cables using an optimized grid

“…where ðDV p Þ T , are the transposed voltage drop vectors and ðI p Þ Ã , ðI m Þ Ã are the conjugated current vectors, all defined in Equation (8).…”

“…The model is developed, first through a general field formulation based on Fourier integrals and series developments and later applying the Pollaczek approach. This approach is valid under certain conditions, which are presented in References [8,9] and observed for the cases considered in the paper.…”

“…The mutual impedances between two different power cables j and k are obtained as (24) by evaluating the magnetic vector potential at the central point of the cable j created by the total current, I k , circulating inside cable k [8]. Similarly, the mutual impedances between the power cable k and the mitigation conductor i, are obtained as …”

“…To determine the series-impedance of the underground cables system the methodology developed in Reference [8] is followed. The series-impedance matrix, defined in Equation (6), is obtained from the magnetic vector potential solution imposed by the boundary conditions and the field source.…”

“…To calculate the series-impedance matrix relevant theories and results are described in References [3][4][5][6][7][8][9][10]. The methodology followed here is based on the model described in previous works [8,9]. The model is developed, first through a general field formulation based on Fourier integrals and series developments and later applying the Pollaczek approach.…”