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...
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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 |
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