Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame
This paper introduces semi-explicit multilinear modeling to ac power systems, including voltage source converters. Firstly, the novel semi-explicit multilinear modeling class is explained. Then this class is applied to a small example of PV inverter connected to an infinite bus. Some part of the non...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-05-01
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| Series: | Energy Reports |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2352484722027366 |
| _version_ | 1827998397785702400 |
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| author | Christoph Kaufmann Georg Pangalos Gerwald Lichtenberg Oriol Gomis-Bellmunt |
| author_facet | Christoph Kaufmann Georg Pangalos Gerwald Lichtenberg Oriol Gomis-Bellmunt |
| author_sort | Christoph Kaufmann |
| collection | DOAJ |
| description | This paper introduces semi-explicit multilinear modeling to ac power systems, including voltage source converters. Firstly, the novel semi-explicit multilinear modeling class is explained. Then this class is applied to a small example of PV inverter connected to an infinite bus. Some part of the nonlinear current reference calculation is expressed as a multilinear algebraic constraint. The formulation of this multilinear algebraic constraint allowed modeling the whole nonlinear inverter as a semi-explicit multilinear model. The novel modeling approach is compared with common nonlinear time-based simulation in Simulink. The results show a good approximation of the nonlinear model by its semi-explicit multilinear model where the relative error is below 10−3%. This low error motivates the further usage of the semi-explicit multilinear modeling class for power system analysis. |
| first_indexed | 2024-04-10T05:43:50Z |
| format | Article |
| id | doaj.art-04d6126d2a3746b2a307b37199a4a46d |
| institution | Directory Open Access Journal |
| issn | 2352-4847 |
| language | English |
| last_indexed | 2024-04-10T05:43:50Z |
| publishDate | 2023-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Energy Reports |
| spelling | doaj.art-04d6126d2a3746b2a307b37199a4a46d2023-03-06T04:38:49ZengElsevierEnergy Reports2352-48472023-05-019354360Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frameChristoph Kaufmann0Georg Pangalos1Gerwald Lichtenberg2Oriol Gomis-Bellmunt3Application Center for Integration of Local Energy Systems ILES, Fraunhofer Institute for Wind Energy Systems IWES, Am Schleusengraben 22, 21029 Hamburg, Germany; Faculty of Life Sciences, HAW Hamburg, Ulmenliet 20, 21033 Hamburg, Germany; CITCEA-UPC, Department of Electrical Engineering, Universitat Polit‘ecnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, Spain; Corresponding author at: Application Center for Integration of Local Energy Systems ILES, Fraunhofer Institute for Wind Energy Systems IWES, Am Schleusengraben 22, 21029 Hamburg, Germany.Application Center for Integration of Local Energy Systems ILES, Fraunhofer Institute for Wind Energy Systems IWES, Am Schleusengraben 22, 21029 Hamburg, GermanyFaculty of Life Sciences, HAW Hamburg, Ulmenliet 20, 21033 Hamburg, GermanyCITCEA-UPC, Department of Electrical Engineering, Universitat Polit‘ecnica de Catalunya, Av. Diagonal 647, 08028 Barcelona, SpainThis paper introduces semi-explicit multilinear modeling to ac power systems, including voltage source converters. Firstly, the novel semi-explicit multilinear modeling class is explained. Then this class is applied to a small example of PV inverter connected to an infinite bus. Some part of the nonlinear current reference calculation is expressed as a multilinear algebraic constraint. The formulation of this multilinear algebraic constraint allowed modeling the whole nonlinear inverter as a semi-explicit multilinear model. The novel modeling approach is compared with common nonlinear time-based simulation in Simulink. The results show a good approximation of the nonlinear model by its semi-explicit multilinear model where the relative error is below 10−3%. This low error motivates the further usage of the semi-explicit multilinear modeling class for power system analysis.http://www.sciencedirect.com/science/article/pii/S2352484722027366Multilinear modelingDifferential–algebraic equationsPower systems simulation |
| spellingShingle | Christoph Kaufmann Georg Pangalos Gerwald Lichtenberg Oriol Gomis-Bellmunt Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame Energy Reports Multilinear modeling Differential–algebraic equations Power systems simulation |
| title | Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame |
| title_full | Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame |
| title_fullStr | Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame |
| title_full_unstemmed | Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame |
| title_short | Semi-explicit multilinear modeling of a PQ open-loop controlled PV inverter in αβ-frame |
| title_sort | semi explicit multilinear modeling of a pq open loop controlled pv inverter in αβ frame |
| topic | Multilinear modeling Differential–algebraic equations Power systems simulation |
| url | http://www.sciencedirect.com/science/article/pii/S2352484722027366 |
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