  Recently, it has been shown that a vertical displacement event (VDE) can
occur in ITER even when the walls are perfect conductors, as a consequence of
the current quench [A. H. Boozer, Physics of Plasmas 26 114501 (2019)]. We used
the extended-MHD code M3D-C1 with an ITER-like equilibrium and induced a
current quench to explore cold VDEs in the limit of perfectly conducting walls,
using different wall geometries. In the particular case of a rectangular wall
with the side walls far away from the plasma, we obtained very good agreement
with the analytical model developed by Boozer that considers a top/bottom
flat-plates wall. We show that the solution in which the plasma stays at the
initial equilibrium position is improved when bringing the side walls closer to
the plasma. When using the ITER first wall in the limit of a perfect conductor,
the plasma stays stable at the initial equilibrium position far beyond the
value predicted by the flat-plates wall limit. On the other hand, when
considering the limit in which the inner shell of the ITER vacuum vessel is
acting as a perfect conductor, the plasma is displaced during the current
quench but the edge safety factor stays above $2$ longer in the current decay
compared to the flat-plates wall limit. In all the simulated cases, the
vertical displacement is found to be strongly dependent on the plasma current,
in agreement with a similar finding in the flat-plates wall limit, showing an
important difference with usual VDEs in which the current quench is not a
necessary condition.
