Abstract
Starting with the problem of connecting the photovoltaic (PV) system to the main grid, this article presents the control of a grid-connected PV system using fractional-order (FO) sliding mode control (SMC) and FO-synergetic controllers. The article presents the mathematical model of a PV system connected to the main grid together with the chain of intermediate elements and their control systems. To obtain a control system with superior performance, the robustness and superior performance of an SMC-type controller for the control of the udc voltage in the DC intermediate circuit are combined with the advantages provided by the flexibility of using synergetic control for the control of currents id and iq. In addition, these control techniques are suitable for the control of nonlinear systems, and it is not necessary to linearize the controlled system around a static operating point; thus, the control system achieved is robust to parametric variations and provides the required static and dynamic performance. Further, by approaching the synthesis of these controllers using the fractional calculus for integration operators and differentiation operators, this article proposes a control system based on an FO-SMC controller combined with FO-synergetic controllers. The validation of the synthesis of the proposed control system is achieved through numerical simulations performed in Matlab/Simulink and by comparing it with a benchmark for the control of a grid-connected PV system implemented in Matlab/Simulink. Superior results of the proposed control system are obtained compared to other types of control algorithms.
Highlights
It is a well-known fact that it is important to use, to an increasing extent, renewable energy, characterized by the fact that it is generated from renewable sources which can be considered unlimited energy
The components which ensure the connection of the PV system to the main grid are the DC-DC boost converter, the DC intermediate circuit, the DC-AC converter, the filtering block, and the transformer for the connection to the main grid, together with their control systems
The synchronization with the main grid is performed through a phase-locked loop (PLL), and the controllers of the control loops are of the classic proportional integrator (PI) type [15]
Summary
It is a well-known fact that it is important to use, to an increasing extent, renewable energy, characterized by the fact that it is generated from renewable sources which can be considered unlimited energy. We propose the cascade structure of the control system of the grid-connected PV system based on the robustness of an SMC-type controller for the control of udc voltage in the DC intermediate circuit, combined with the flexibility of using synergetic control for the control of currents id and iq. We propose the cascade structure of the control system of the grid-connected PV system based on the robustness of an SMC-type controller for the control o3fofu2d5c voltage in the DC intermediate circuit, combined with the flexibility of using synergetic control for the control of currents id and iq.
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