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Contributions to the Design of Derivative Hybrid Filters: Modeling and Analysis in Distorted Voltage Grids

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Abstract

Hybrid Filters (HF) are chosen as a solution to mitigate line harmonic currents mainly due to their characteristic of merging the active and passive filter advantages in a single structure. Consequentially, the processed power is shared between these parts. There are different sorts of HF. The Derivative Hybrid Filter (DHF) consists in connecting an Active Filter (AF) in derivation to a Tuned Passive Filter (TPF). This paper presents contributions to the design of DHF. A small-signal model is obtained taking into account both the AF and the TPF dynamic behavior. The small-signal model represents the relationship between the line current and the AF inverter duty cycle. The relationship between the inverter DC Bus voltage and the line current is also described by a small-signal model. Once with the obtained small-signal models, stability analysis and controller design process will be described. Additionally, the paper presents a methodology to obtain the minimum required inverter DC Bus voltage for the DHF considering the existence of harmonic distortion in the voltage grid. Experimental results show the efficacy of the covered contributions.

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Correspondence to Tiago Davi Curi Busarello.

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Busarello, T.D.C., da Silva, N., Vendrusculo, E.A. et al. Contributions to the Design of Derivative Hybrid Filters: Modeling and Analysis in Distorted Voltage Grids. J Control Autom Electr Syst 25, 448–460 (2014). https://doi.org/10.1007/s40313-014-0127-5

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  • DOI: https://doi.org/10.1007/s40313-014-0127-5

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