A pressure swing adsorption (PSA) system and a PSA process including a PSA cycle schedule are disclosed. The PSA cycle schedule includes an unlimited number of equalization steps, no idle steps, no dead time and a minimum number of three PSA adsorbent beds assisted with two or more equalization tanks. The PSA system, process and cycle schedule include the following sequence of cycle steps: a feed step, two or more down equalization steps either between beds or between a bed and a tank, an optional forced cocurrent depressurization step coupled with a forced intermediary light end pressurization step, a countercurrent depressurization step, a light reflux step, two or more up equalization steps between beds or between a bed and a tank, an optional forced intermediary light end pressurization step coupled with the forced cocurrent depressurization step, and a light product pressurization step.