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We are considering the problem a controlling of photovoltaic-grid pumping system. The system consists of a PV panel, a PWM AC/DC rectifier connected to a single-phase grid, an association of a PWM DC/AC inverter - squirrel cage induction motor, and a centrifugal water pump. The control objectives are fourfold: (i) forcing the pump water flow rate to track any reference signal (ii) regulating the rotor flux norm to its nominal value (iii) regulating the DC Link voltage to a reference value to meet the maximum power point tracking (MPPT), (iv) and the power factor correction (PFC). To meet these control objectives, we first develop a nonlinear model of the whole controlled system in the Park-coordinates. Then, a multi-loop nonlinear controller is synthesized using the backstepping design technique. In addition to closed-loop global asymptotic stability, it is proved that all control objectives (water flow rate tracking, rotor flux regulation, DC link voltage regulation and unitary power factor) are asymptotically achieved.

Backstepping Control of Photovoltaic-Grid Hybrid Power Feed Water Pump