Backstepping-Based Nonlinear Control of a Grid-Photovoltaic Hybrid Water Pumping System with Multiphase Induction

We address the control problem of a hybrid photovoltaic-grid water pumping system. This system includes a photovoltaic panel, an AC/DC PWM rectifier connected to an electric grid, a DC/AC PWM inverter paired with a Multiphase Induction Motor MPIM, and a centrifugal water pump. The control objectives are to ensure that the water pump flow rate follows a reference signal, regulate the norm of the rotor flux of the motor to its nominal value, maintain the DC link voltage at a reference value for optimal power point tracking (MPPT), and achieve satisfactory power factor correction (PFC). A nonlinear model of the controlled system is developed, followed by the synthesis of a multiloop nonlinear controller using the backstepping technique. This controller ensures global asymptotic stability in closed-loop operation and achieves all control objective.