  The superadiabatic quantum driving, producing a perfect adiabatic transfer on
a given Hamitonian by introducing an additional Hamiltonian, is theoretically
analysed for transfers within a three-level system. Our starting point is the
stimulated Raman adiabatic passage, realized through different schemes of laser
pulses. We determine the superadiabatic correction for each scheme. The
fidelity, robustness and transfer time of all the superadiabatic transfer
schemes are discussed. We derive that all superadiabatic corrections are based
on a $\pi$- (or near-$\pi$)-area pulse coupling between the initial and final
states. The benefits in the protocol robustness overcome the difficulties
associated to the actual implementation of the three-level superadiabatic
transfer.
