An analytical solution is found using the Laplace transform to describe the
very fast transient overvoltage (VFTO) in the gas insulated switchgear (GI
S) connected directly to a transformer. The oscillation frequencies, and ot
her properties, are explicitly given in terms of system parameters. The mag
nitude of VFTO at the transformer is suppressed due to the transformer capa
citance. Magnitudes of the initial abrupt voltage change and oscillatory vo
ltage are assessed. The abrupt voltage is larger, but not enough to induce
a harmful voltage in the transformer. The oscillatory components may damage
the winding insulation at the occurrence of resonance.