Robust Current Control of Grid-Tied Inverters Affected by LCL Filter Soft-Saturation

This article provides as contribution a systematic design procedure for robust current control of grid-tied inverters with LCL filters affected by inductor magnetic soft-saturation and also by uncertain grid impedances. The proposed design is based on the following: first, a polytopic time-varying m...

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Bibliographic Details
Published inIEEE transactions on industrial electronics (1982) Vol. 67; no. 8; pp. 6550 - 6561
Main Authors Osorio, Caio Ruviaro Dantas, Koch, Gustavo Guilherme, Pinheiro, Humberto, Oliveira, Ricardo C. L. F., Montagner, Vinicius Foletto
Format Journal Article
LanguageEnglish
Published New York IEEE 01.08.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
<named-content xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" content-type="math" xlink:type="simple"> <inline-formula> <tex-math notation="LaTeX"> LCL</tex-math> </inline-formula> </named-content> filter
Computer simulation
Current control
Grid-tied inverter (GTIs)
Inductance
inductor saturation
Inductors
Inverters
Linear matrix inequalities
linear matrix inequalities (LMI)
Magnetic cores
Mathematical analysis
powder core
Powders
Robust control
Saturation
Stability analysis
State feedback
Transient response
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Summary:This article provides as contribution a systematic design procedure for robust current control of grid-tied inverters with LCL filters affected by inductor magnetic soft-saturation and also by uncertain grid impedances. The proposed design is based on the following: first, a polytopic time-varying model to describe the effect of the inductances variations; second, a set of linear matrix inequalities to design fixed (robust) state feedback gains, ensuring bounded settling times for the closed-loop transient responses. A less conservative set of linear matrix inequalities is used to certify the procedure. Experimental results from real-time simulations and from a real prototype with commercial powder core inductors show that the proposed procedure can provide superior results than conventional controllers designed not taking into account the soft-saturation. The results with the proposed controller comply with the IEEE 1547 Standard, leading to grid currents with low harmonic content, respecting limits prescribed by this standard even under distorted grid voltages.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2019.2938474