Abstract
The integration of the large-scale photovoltaic systems has experienced significant growth, which is similarly expected to occur with small-scale photovoltaic systems. Since small-scale systems must be simple in cost-effective components, control strategies must be implemented in low complexity circuits. However, current maximum power point tracking (MPPT) algorithms are generally complex and require electronic components to support variable control gains for different irradiance conditions, preventing simple MPPT implementations suitable for small-scale photovoltaic systems. This paper proposes a new control strategy to tackle the power tracking problem of the power systems. First, a dynamic model of the photovoltaic system is described and converted into a Takagi–Sugeno (T-S) model. Then, an MPPT scheme is proposed in series with a fixed integral and a fuzzy gain state delay feedback controller, which avoids the need for a variable control gain, simplifying the electronic implementation of the control strategy. New delay-dependent stabilization conditions based on the Lyapunov-Krasovskii functional are proposed in terms of a convex optimization problem, where the delayed feedback and integral gains are designed simultaneously. Simulation results using Matlab and Simulink are used to validate the proposed method.
Highlights
The increasing demand for electrical energy and climate change has fostered the need for clean energy
The advanced maximum power point tracking (MPPT) proposals are based on variable control gains, which is one of the reasons why they need complex electronic implementations
The proposal obtains constant control gains, regardless of the nonlinear nature of the phenomena that usually leads to variable control gains from stratifications of the stability regions
Summary
The increasing demand for electrical energy and climate change has fostered the need for clean energy. The advanced MPPT proposals are based on variable control gains, which is one of the reasons why they need complex electronic implementations Various control strategies, such as neural networks [23], genetic algorithms [24, 25], and fuzzy controllers [26,27,28,29], have appeared in the boost converter context. The stability/stabilization criteria of the nonlinear system can be reduced to the feasibility of a set of LMIs. In general, when the feedback gains have been processed as variable parameters in the LMI feasibility issue, automatic stabilizing control is generated from a set of obtained LMIs. This paper proposes a new control approach for a boost converter in an MPPT PV application based on a state delayed feedback approach and integral control.
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