Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance

The paper presents a controller design for grid-connected inverters (GCI) with very small dc-link capacitance that are coupled to the grid via an LCL filter. The usual controller designs would fail and result in instability. The proposed controller has a cascaded structure with a current controller...

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Main Authors: Oliver Kalmbach, Christian Dirscherl, Christoph M. Hackl
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/21/5613
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author Oliver Kalmbach
Christian Dirscherl
Christoph M. Hackl
author_facet Oliver Kalmbach
Christian Dirscherl
Christoph M. Hackl
author_sort Oliver Kalmbach
collection DOAJ
description The paper presents a controller design for grid-connected inverters (GCI) with very small dc-link capacitance that are coupled to the grid via an LCL filter. The usual controller designs would fail and result in instability. The proposed controller has a cascaded structure with a current controller as inner control loop and an outer dc-link voltage controller. The controller design is performed in discrete time and it is based on a detailed stability analysis of the dc-link voltage controller to determine the controller parameters which guarantee stability for all operating points. The inner loop is a state-feedback current controller that is designed based on the discrete linear-quadratic regulator (DLQR) theory. An additional integral error feedback assures steady-state accuracy of the current control loop. The simulation and experimental results validate performance and stability of proposed controller design.
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spelling doaj.art-b0b3953848b3425dba12f7b14992c05f2023-11-20T18:41:20ZengMDPI AGEnergies1996-10732020-10-011321561310.3390/en13215613Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link CapacitanceOliver Kalmbach0Christian Dirscherl1Christoph M. Hackl2Faculty of Electrical Engineering and Information Technology, Munich University of Applied Sciences, Lothstraße 64, 80335 München, GermanyMunich School of Engineering, Technical University of Munich, Lichtenbergstraße 4a, 85748 Garching, GermanyFaculty of Electrical Engineering and Information Technology, Munich University of Applied Sciences, Lothstraße 64, 80335 München, GermanyThe paper presents a controller design for grid-connected inverters (GCI) with very small dc-link capacitance that are coupled to the grid via an LCL filter. The usual controller designs would fail and result in instability. The proposed controller has a cascaded structure with a current controller as inner control loop and an outer dc-link voltage controller. The controller design is performed in discrete time and it is based on a detailed stability analysis of the dc-link voltage controller to determine the controller parameters which guarantee stability for all operating points. The inner loop is a state-feedback current controller that is designed based on the discrete linear-quadratic regulator (DLQR) theory. An additional integral error feedback assures steady-state accuracy of the current control loop. The simulation and experimental results validate performance and stability of proposed controller design.https://www.mdpi.com/1996-1073/13/21/5613current controldc-link voltage controldiscrete controllerdiscrete linear-quadratic regulator (DLQR)grid connected inverterLCL-filter
spellingShingle Oliver Kalmbach
Christian Dirscherl
Christoph M. Hackl
Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance
Energies
current control
dc-link voltage control
discrete controller
discrete linear-quadratic regulator (DLQR)
grid connected inverter
LCL-filter
title Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance
title_full Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance
title_fullStr Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance
title_full_unstemmed Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance
title_short Discrete-Time DC-Link Voltage and Current Control of a Grid-Connected Inverter with LCL-Filter and Very Small DC-Link Capacitance
title_sort discrete time dc link voltage and current control of a grid connected inverter with lcl filter and very small dc link capacitance
topic current control
dc-link voltage control
discrete controller
discrete linear-quadratic regulator (DLQR)
grid connected inverter
LCL-filter
url https://www.mdpi.com/1996-1073/13/21/5613
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AT christiandirscherl discretetimedclinkvoltageandcurrentcontrolofagridconnectedinverterwithlclfilterandverysmalldclinkcapacitance
AT christophmhackl discretetimedclinkvoltageandcurrentcontrolofagridconnectedinverterwithlclfilterandverysmalldclinkcapacitance