The power supply unit for an ozone generating system generally has a pulsed current generator generating current pulses to be supplied to an ozone generator; and a computer adapted for obtaining an ozone yield based on a first amount of ozone to be generated by the current pulses during a first period of time and on a first amount of electricity consumed by the power supply unit during the first period of time; modifying an amplitude of the current pulses based on the ozone yield; obtaining an ozone production rate based on a second amount of ozone generated during a second given period of time; adjusting a frequency of the current pulses based on the ozone production rate; and wherein said steps are executed iteratively to enhance the ozone yield while meeting the ozone production rate.