Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters

In recent years, grid forming (GFM) inverters have become an increasingly active research interest, due to their ability to form autonomous grids and to maintain synchronism also in purely power electronics-based environments. The main building blocks of these machines are several pulsewidth modulat...

Full description

Saved in:
Bibliographic Details
Main Authors: Florian Reisner, George Weiss
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Open Journal of the Industrial Electronics Society
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10818587/
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1841542556603645952
author Florian Reisner
George Weiss
author_facet Florian Reisner
George Weiss
author_sort Florian Reisner
collection DOAJ
description In recent years, grid forming (GFM) inverters have become an increasingly active research interest, due to their ability to form autonomous grids and to maintain synchronism also in purely power electronics-based environments. The main building blocks of these machines are several pulsewidth modulation (PWM) controlled switches, receiving energy from the dc side, followed by <inline-formula><tex-math notation="LaTeX">$LC$</tex-math></inline-formula> or <inline-formula><tex-math notation="LaTeX">$LCL$</tex-math></inline-formula> output filters to produce nearly sinusoidal currents injected into the power grid. The filter inductances are usually small, to avoid high costs, such that tiny voltage measurement-, delay-, or PWM timing-errors can cause large deviations in the output currents. This is mitigated by employing fast output current controllers (OCCs), which allow us to correct the effect of measurement errors and delays and accurately track the reference currents. These controllers can be implemented as proportional integral (PI) controllers in a rotating reference frame or proportional resonant controllers or even more complex structures. GFM inverters usually employ virtual impedances to obtain the reference currents for the OCCs. While very efficient in strong grids, such control architectures face stability problems if the grid short-circuit ratio becomes low. While for grid following (GFL) inverters, this problem has been well researched in the past years, and various solutions have been proposed, for GFM inverters, the adequate tuning of the virtual impedances and the current controller parameters has yet to be fully understood. In this paper we investigate the influence of the grid impedance, and various control parameters of a GFM inverter with PI current controllers and virtual impedances, and give recommendations for the tuning of all the parameters to achieve stability in a wide range of grid conditions. We further suggest an updated procedure to select <inline-formula><tex-math notation="LaTeX">$LCL$</tex-math></inline-formula> filter values and demonstrate the suggested tuning in an experimental setup. To enable automatic tuning online, we employ a method for measuring the grid impedance by injecting a small probing current into the grid, at a frequency that is close but different from the grid frequency.
format Article
id doaj-art-6fbf86d5628a47e29b95b64ae6cdf1c3
institution Kabale University
issn 2644-1284
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
series IEEE Open Journal of the Industrial Electronics Society
spelling doaj-art-6fbf86d5628a47e29b95b64ae6cdf1c32025-01-14T00:02:56ZengIEEEIEEE Open Journal of the Industrial Electronics Society2644-12842025-01-01611512910.1109/OJIES.2024.352400710818587Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming InvertersFlorian Reisner0https://orcid.org/0000-0002-6602-6145George Weiss1https://orcid.org/0000-0002-9524-2795School of Electrical Engineering, Tel Aviv University, Ramat Aviv, IsraelSchool of Electrical Engineering, Tel Aviv University, Ramat Aviv, IsraelIn recent years, grid forming (GFM) inverters have become an increasingly active research interest, due to their ability to form autonomous grids and to maintain synchronism also in purely power electronics-based environments. The main building blocks of these machines are several pulsewidth modulation (PWM) controlled switches, receiving energy from the dc side, followed by <inline-formula><tex-math notation="LaTeX">$LC$</tex-math></inline-formula> or <inline-formula><tex-math notation="LaTeX">$LCL$</tex-math></inline-formula> output filters to produce nearly sinusoidal currents injected into the power grid. The filter inductances are usually small, to avoid high costs, such that tiny voltage measurement-, delay-, or PWM timing-errors can cause large deviations in the output currents. This is mitigated by employing fast output current controllers (OCCs), which allow us to correct the effect of measurement errors and delays and accurately track the reference currents. These controllers can be implemented as proportional integral (PI) controllers in a rotating reference frame or proportional resonant controllers or even more complex structures. GFM inverters usually employ virtual impedances to obtain the reference currents for the OCCs. While very efficient in strong grids, such control architectures face stability problems if the grid short-circuit ratio becomes low. While for grid following (GFL) inverters, this problem has been well researched in the past years, and various solutions have been proposed, for GFM inverters, the adequate tuning of the virtual impedances and the current controller parameters has yet to be fully understood. In this paper we investigate the influence of the grid impedance, and various control parameters of a GFM inverter with PI current controllers and virtual impedances, and give recommendations for the tuning of all the parameters to achieve stability in a wide range of grid conditions. We further suggest an updated procedure to select <inline-formula><tex-math notation="LaTeX">$LCL$</tex-math></inline-formula> filter values and demonstrate the suggested tuning in an experimental setup. To enable automatic tuning online, we employ a method for measuring the grid impedance by injecting a small probing current into the grid, at a frequency that is close but different from the grid frequency.https://ieeexplore.ieee.org/document/10818587/Adaptive tuninggrid forming (GFM) inverterimpedance probing<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 designoutput current controller (OCC)stability
spellingShingle Florian Reisner
George Weiss
Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters
IEEE Open Journal of the Industrial Electronics Society
Adaptive tuning
grid forming (GFM) inverter
impedance probing
<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 design
output current controller (OCC)
stability
title Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters
title_full Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters
title_fullStr Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters
title_full_unstemmed Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters
title_short Robust and Adaptive Tuning of PI Current Controllers for Grid-Forming Inverters
title_sort robust and adaptive tuning of pi current controllers for grid forming inverters
topic Adaptive tuning
grid forming (GFM) inverter
impedance probing
<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 design
output current controller (OCC)
stability
url https://ieeexplore.ieee.org/document/10818587/
work_keys_str_mv AT florianreisner robustandadaptivetuningofpicurrentcontrollersforgridforminginverters
AT georgeweiss robustandadaptivetuningofpicurrentcontrollersforgridforminginverters