GMPP tracking based on model reference LPV control for a PV system with buck converter modelled on bond graph

Abstract

A PhotoVoltaic (PV) system with a Linear Parametric Varying (LPV) average model of a buck converter modelled by bond graph methodology, is considered. It is assumed that the voltage generated by the PV panel is a smooth function of time under changes in atmospheric conditions. A model reference is proposed representing the PV system with buck converter operating at the Global Maximum Power Point (GMPP). An LPV control is designed, and an algorithm is proposed in a model reference tracking control configuration assuring that the PV system with buck converter tracks the proposed model reference and hence guaranteeing that this system operates at the GMPP. The proposed algorithm changes the voltage reference based on the power measurement of the PV system assuring that this reference represents the GMPP under shading conditions. The LPV control is designed for an average model of the buck converter solving a feasibility problem based on linear matrix inequalities that assure quadratic stability and minimize a quadratic criterion. The feedback system is tested under shading conditions, and its performance is compared with a standard Perturb and Observe method and with an ideal algorithm based on the irradiance measurement in each section of the PV system.

Mixed H2/H∞ model reference control of linear parameter‐varying discrete‐time systems with real‐time application to aeropendulum system

“…The design of an $$$ {H}_{\infty } $$$ LPV MRC system is implemented for LPV systems with bounded disturbances using state or dynamic output‐feedback laws 16 with the purpose of forcing the system outputs to track the desired reference outputs of LPV continuous‐time reference model. The LPV MRC is applied to a PhotoVoltaic system 17 to guarantee the tracking of the model reference outputs. In addition to that, a switched LPV MRC system is devised using mode‐dependent average dwell time and multiple Lyapunov techniques 18 with the aim of obtaining the desired $$$ {H}_{\infty } $$$ performance.…”

“…From practical sides, different types of MRC system were applied to various systems such as spacecrafts, 14 PhotoVoltaic systems, 17 magnetic levitation systems, 19 aero‐engines, 18 vertical two‐tank systems, 20 unmanned aerial vehicles, 21 aerial remote sensing systems, 22 wind turbine generators, 23 and teleportation systems 24…”