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The photovoltaic (PV) pumping system is a widely used in Mauritania to ensure the water supply in rural area for populations needs. This system is composed by three main parts: The PV Generator (PVG), impedance matching (DC/DC Power Convert), and the hydraulic part (coupling of a PMDC motor and a centrifugal pump). Two mathematical motor-pump models for PV application, were proposed in this article to contribute in the studies of PV pumping sizing. These models link directly the operating water current to the voltage and electrical power to the flow rate of the pump versus total head. In this article we study the simulation in Matlab/ Simulink environment the characteristics of a PV pumping system (submersible pump case); The three parts quoted for an overview of the performance of the system, taking into account the climate parameters (solar irradiance, and ambient temperature), and the effect of the total manometric head (HMT) on the pumped flow rate. The models were based principally, on the analysis of the experimentation results for one centrifugal pump, coupled to converter motor. The current, the voltage, the electrical power, the flow rate and the head were the monitored dates. Current-voltage and electrical power-flow have modeled characteristics of the modeled motor-pump. The improved models yielded satisfactory results. In ordre to validate the simulation, we use the meteorological data of Rosso city, which is a region of southern Mauritania.