The principles of minimized magnetic energy and voltage equilibrium ha
ve been combined with the finite element method to solve the leakage m
agnetic field problems coupled with an unknown ampere-turn distributio
n in the shell-form power transformer. Based on the leakage magnetic f
ield calculated, the eddy current and circulating current losses in th
e coils are further computed. The calculated results are consistent wi
th measured values for a model of a shell-form transformer. Above prin
ciples are applied to the windings design of a 50MVA three-phase proto
type shell-form power transformer. The calculated results show that th
e largest circulating current in strands of the low-voltage coils near
two ends of each phase winding is greatly reduced to 11% from 98% of
the rated current in each strand by placing the copper-shieldings on t
hese ends.