The invention relates to a method of producing aluminum in an electrolysis cell, which includes setting up a succession of control periods of duration T, identifying perturbative tending operations on the cell that can introduce superfluous alumina in the electrolytic bath, noting the performance of the perturbative tending operations, determining a regulation feed rate B(k′) for each control period k′ and setting a specified feed rate SR(k′) equal to M(k′)×B(k′), where M(k′) is a predetermined modulation factor that modulates the regulation feed rate B(k′) so as to take into account a reduction of the needs of the cell induced by the superfluous alumina. The method of the invention makes it possible to significantly reduce the rate of occurrence of anode effects.