Abstract
Motivated by the problem of different types and variations of load in micro-grids, this paper presents robust proportional-resonant controllers with a harmonics compensator based on the internal model principle. These controllers ensure robust tracking of sinusoidal reference signals in distributed energy resource systems subject to load variation with respect to sinusoidal disturbances. The distributed generation resource and the resonant controllers are described using the augmented state system approach, allowing the application of the state feedback technique. In order to minimize the tracking error and ensure robustness against perturbation, a set of linear matrix inequalities (LMIs) are addressed for the synthesizing of controller gains. Finally, results obtained in the simulation for resonant compensators with the distributed energy system are presented, in which the controller is applied to the CC-CA inverter.
Highlights
Distributed energy resource (DER) systems are extensively used in micro-grids for the connection of renewable energy sources and storage [1]
A fundamental performance requirement of a distributed energy resources (DER) system with sinusoidal output is to provide a voltage with low harmonic distortion, which operates even under uncertainties, parametric variations and non-linearities induced by phenomena such as delay and saturation and disturbances, which are very common in practice
To solve the above problems, the proposed method in this paper is based on the solution of optimization problems addressed by linear matrix inequalities (LMIs) formulation, which allows to concatenate the parameters of different resonant compensators acting in different frequencies
Summary
Distributed energy resource (DER) systems are extensively used in micro-grids for the connection of renewable energy sources and storage [1]. A fundamental performance requirement of a distributed energy resources (DER) system with sinusoidal output is to provide a voltage with low harmonic distortion, which operates even under uncertainties, parametric variations and non-linearities induced by phenomena such as delay and saturation and disturbances, which are very common in practice. This objective can be fulfilled by choosing an adequate control law. To solve the above problems, the proposed method in this paper is based on the solution of optimization problems addressed by linear matrix inequalities (LMIs) formulation, which allows to concatenate the parameters of different resonant compensators acting in different frequencies.
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