The rotary machine comprises a rotary shaft (2) supported by first and
second radial magnetic bearings (5, 6) that are electrically controlled
by a control device (13), said rotary shaft being fitted with an axial abutment
device (100) comprising a rotor formed by a disk (101) secured to
the rotary shaft (2) and interposed between first and second stators (102,
104) formed annularly around the rotary shaft and each including at least one
annular coil (103; 105) controlled electrically by a system for servo-controlling
the axial position of the rotary shaft. The stator (104) of the axial abutment
device (100) further comprises a secondary induction circuit (106),
and the disk (101) secured to the rotary shaft comprises a primary induction
circuit (107) so that during rotation of the shaft, electricity is excited
in the secondary induction circuit in order to supply energy to the radial magnetic bearings.