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[en] Highlights: • Mismatches on a designed d-c PV pumping system have been highlighted. • A new approach predicting the maximal discharge has been developed. • The approach has been discussed versus its linearity coefficient. • The approach effectiveness has been investigated and approved. • Theoretical and experimental obtained values have been compared and approved. - Abstract: A directly-coupled photovoltaic water pumping system (DC/PVPS) is generally designed by considering the worst month conditions on lowest daylight-hours, the maximum monthly daily required water volume and tank to store the excess water. In case of absence of hydraulic storage (water tank) or it is not enough dimensioned, the extra amount of pumped water is lost or is not reasonably used, when the system is operated on full daylight-hour. Beside that the extra amount of energy, which might be produced by the PV generator, is not exploited, when the system is operated only during a specified period-time needed to satisfy the demand. Beyond the accurate design that satisfying the end-user, a new approach has been developed as target to exploit maximally the PV array energy production, by maximizing the discharge rate of the system. The methodology consists of approaching maximally the demanded energy to the supplied energy on full operating day. Based on the demand/supply energy condition, the approach has been developed, upon the PV array and the pump performance models. The issued approach predicts the maximum delivery capacity of the system on monthly daily water volumes versus the monthly daily averages of solar irradiation, previously recorded. Its efficacy has been investigated and discussed according to the estimated and experimental values of its linearity coefficient, following the characterization tests of a designed system, carried out at our pumping test facility in Ghardaia (Algeria). The new theoretically and experimentally obtained flow-rates fit well, except insignificant deviations. The demand and supply energy curves are approximately approachable. Compared to the previous required water volumes, the new predicted averages show an annual excess rate between 41% and 54%. This rate is expected to be extracted by an annual surplus energy rate between 29% and 36% of the total annual provided energy rate. The proposed approach may be a tool to investigate the maximal delivery capacity and to determine the corresponding maximal PV energy production to be exploited of such system, so that to select the best management at any case.