[en] The process of single layer superconducting coil training in external magnetic field under the effect of ponderomotive forces under different cooling conditions has been investigated. The character and duration of the training appeared to be criteria of the effect of different cooling conditions on the superconducting state stability. Critical currents corresponding to the end of training were found to be similar both in supercooled and saturated He-2 and even in He-1 at temperature near lambda-point. Reduction of training in He-2 as compared to He-1 and absence of coil critical current dependence on availability of electric insulation layer on the wire that gives additional heat resistance have also been discovered