Drastic changes in the behavior of the experimental magnetization curv
es of fine-grained YBaCuO are observed al high temperatures where the
grain sizes D are comparable with penetration depth lambda. Drawing, o
n the analogy between the HTSC samples at high temperature and an isot
ropic type II superconductor the initiation of a vortex structure in t
he case of D similar to lambda considered on the basis of a model taki
ng into account both vortex-vortex and vortex-surface interactions. Th
e fields of the first seven vortices penetration as well as the magnet
ization curves M(H) are calculated for a wide range of D/lambda ratio.
It is shown that the fields of penetration not only of the very first
, but also of the following vortices increase considerably as the grai
n size is decreased down to D similar to lambda. This effect allows us
to explain the peculiarities in the experimental curves M(H) of fine-
grained HTSC samples.