This paper presents a novel method to minimize the magnetic field gene
rated by underground power cables under balanced load with single-poin
t grounded shields. The minimization is achieved by optimization of th
e phase arrangement to eliminate the second- and third-order terms of
the magnetic field Taylor series. The analysis is verified by computer
simulations. This method is applied to the minimization of the magnet
ic field generated by an underground system at Salt River Project. The
practical result is a reduction of the magnetic field of the selected
arrangement from 22.6 mG to 0.15 mG. The methodology is technically f
easible and financially practical in areas with balanced load.