A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed

The active and reactive powers, <i>P</i> and <i>Q</i>, are crucial variables in the parallel operation of single-phase inverters using the droop method, introducing proportional droops in the inverter output frequency and voltage amplitude references. <i>P</i> and...

Full description

Bibliographic Details
Main Authors: Jorge El Mariachet, Jose Matas, Helena Martín, Mingshen Li, Yajuan Guan, Josep M. Guerrero
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Electronics
Subjects:
hil
Online Access:https://www.mdpi.com/2079-9292/8/11/1366
id doaj-faf71d93f0b44149b89a939459c0fd11
record_format Article
spelling doaj-faf71d93f0b44149b89a939459c0fd112020-11-25T01:50:24ZengMDPI AGElectronics2079-92922019-11-01811136610.3390/electronics8111366electronics8111366A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-AssessedJorge El Mariachet0Jose Matas1Helena Martín2Mingshen Li3Yajuan Guan4Josep M. Guerrero5Electric Engineering Department, Polytechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, SpainElectric Engineering Department, Polytechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, SpainElectric Engineering Department, Polytechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, SpainEnergy Teknik Department, Aalborg University (ET-AAU), 9220 Aalborg, DenmarkEnergy Teknik Department, Aalborg University (ET-AAU), 9220 Aalborg, DenmarkEnergy Teknik Department, Aalborg University (ET-AAU), 9220 Aalborg, DenmarkThe active and reactive powers, <i>P</i> and <i>Q</i>, are crucial variables in the parallel operation of single-phase inverters using the droop method, introducing proportional droops in the inverter output frequency and voltage amplitude references. <i>P</i> and <i>Q, or P-Q,</i> are calculated as the product of the inverter output voltage and its orthogonal version with the output current, respectively. However, when sharing nonlinear loads these powers, <i>Pav</i> and <i>Qav</i>, should be averaged by low-pass filters (LPFs) with a very low cut-off frequency to avoid the high distortion induced by these loads. This forces the droop method to operate at a very low dynamic velocity and degrades the system stability. Then, different solutions have been proposed in literature to increase the system velocity, but only considering linear loads. Therefore, this work presents a method to calculate <i>Pav</i> and <i>Qav</i> using second-order generalized integrators (SOGI) to face this problem with nonlinear loads. A double SOGI (DSOGI) approach is applied to filter the nonlinear load current and provide its fundamental component to the inverter, leading to a faster dynamic velocity of the droop-based load sharing capability and improving the stability. The proposed method is shown to be faster than others in the literature when considering nonlinear loads, while smoothly driving the system with low distortion levels. Simulations, hardware-in-loop (HIL) and experimental results are provided to validate this proposal.https://www.mdpi.com/2079-9292/8/11/1366droop methodactive and reactive power calculationsingle-phase parallelized invertersnonlinear loadshil
collection DOAJ
language English
format Article
sources DOAJ
author Jorge El Mariachet
Jose Matas
Helena Martín
Mingshen Li
Yajuan Guan
Josep M. Guerrero
spellingShingle Jorge El Mariachet
Jose Matas
Helena Martín
Mingshen Li
Yajuan Guan
Josep M. Guerrero
A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed
Electronics
droop method
active and reactive power calculation
single-phase parallelized inverters
nonlinear loads
hil
author_facet Jorge El Mariachet
Jose Matas
Helena Martín
Mingshen Li
Yajuan Guan
Josep M. Guerrero
author_sort Jorge El Mariachet
title A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed
title_short A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed
title_full A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed
title_fullStr A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed
title_full_unstemmed A Power Calculation Algorithm for Single-Phase Droop-Operated-Inverters Considering Linear and Nonlinear Loads HIL-Assessed
title_sort power calculation algorithm for single-phase droop-operated-inverters considering linear and nonlinear loads hil-assessed
publisher MDPI AG
series Electronics
issn 2079-9292
publishDate 2019-11-01
description The active and reactive powers, <i>P</i> and <i>Q</i>, are crucial variables in the parallel operation of single-phase inverters using the droop method, introducing proportional droops in the inverter output frequency and voltage amplitude references. <i>P</i> and <i>Q, or P-Q,</i> are calculated as the product of the inverter output voltage and its orthogonal version with the output current, respectively. However, when sharing nonlinear loads these powers, <i>Pav</i> and <i>Qav</i>, should be averaged by low-pass filters (LPFs) with a very low cut-off frequency to avoid the high distortion induced by these loads. This forces the droop method to operate at a very low dynamic velocity and degrades the system stability. Then, different solutions have been proposed in literature to increase the system velocity, but only considering linear loads. Therefore, this work presents a method to calculate <i>Pav</i> and <i>Qav</i> using second-order generalized integrators (SOGI) to face this problem with nonlinear loads. A double SOGI (DSOGI) approach is applied to filter the nonlinear load current and provide its fundamental component to the inverter, leading to a faster dynamic velocity of the droop-based load sharing capability and improving the stability. The proposed method is shown to be faster than others in the literature when considering nonlinear loads, while smoothly driving the system with low distortion levels. Simulations, hardware-in-loop (HIL) and experimental results are provided to validate this proposal.
topic droop method
active and reactive power calculation
single-phase parallelized inverters
nonlinear loads
hil
url https://www.mdpi.com/2079-9292/8/11/1366
work_keys_str_mv AT jorgeelmariachet apowercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT josematas apowercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT helenamartin apowercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT mingshenli apowercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT yajuanguan apowercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT josepmguerrero apowercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT jorgeelmariachet powercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT josematas powercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT helenamartin powercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT mingshenli powercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT yajuanguan powercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
AT josepmguerrero powercalculationalgorithmforsinglephasedroopoperatedinvertersconsideringlinearandnonlinearloadshilassessed
_version_ 1725002127831465984