The invention lies in the field of current stabilisation in a power generation system comprising a plurality of elementary power groups connected in parallel. It relates to a control system for regulating the elementary power groups. According to the invention, the control system comprises a global current control system (510) and a plurality of local current control systems each associated with an elementary power source of the power generation system. The global current control system (510) comprises: ▪ a divider (511) arranged to deliver a fixed current set point I n_fix , ▪ a correction unit (512) arranged to deliver a variable current set point l n_var and to take either a steady state or a transitory state, the variable current set point l n_var being determined as a function of a correction signal S corr in the transitory state, ▪ an adder (513) arranged to deliver a global current set point I n_glob as the sum of the fixed current set point I n_fix and the variable current set point l n_var , an
