Large-Signal Models of the Park Transformation and Phase-Locked Loop Algorithms Article Swipe
E. F. C. Grabovski
,
Samir Ahmad Mussa
,
Marcelo Lobo Heldwein
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.18618/rep.2005.1.045052
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.18618/rep.2005.1.045052
The control of modern grid-connected converters often relies on Park Transform and synchronization algorithms. These are highly nonlinear subsystems integrated into even larger systems that include other nonlinearities. Thus, strictly speaking, large-signal models are required when analysing and designing such systems. However, a limited number of mathematical tools is available to that end. This work proposes a nonlinear time-invariant model for the Park Transformation and the Synchronous Reference Frame Phase-Locked Loop (SRF-PLL), which are based on the Harmonic State-Space (HSS) in a stationary coordinate frame. The HSS modeling technique is reviewed as a basis for nonlinear models of functions based on polynomial nonlinear systems. This serves as an appropriate formal basis for the model of 2-D rotations as means of modeling the SRF-PLL and other similar algorithms. The models are validated through simulations to verify their accuracy when compared to the original Nonlinear Time-Periodic (NLTP) Systems.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.18618/rep.2005.1.045052
- https://www.sobraep.org.br/site/uploads/2018/06/rvol9no1p6.pdf
- OA Status
- diamond
- Cited By
- 1
- References
- 21
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4255213605
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4255213605Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.18618/rep.2005.1.045052Digital Object Identifier
- Title
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Large-Signal Models of the Park Transformation and Phase-Locked Loop AlgorithmsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
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2018Year of publication
- Publication date
-
2018-10-27Full publication date if available
- Authors
-
E. F. C. Grabovski, Samir Ahmad Mussa, Marcelo Lobo HeldweinList of authors in order
- Landing page
-
https://doi.org/10.18618/rep.2005.1.045052Publisher landing page
- PDF URL
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https://www.sobraep.org.br/site/uploads/2018/06/rvol9no1p6.pdfDirect link to full text PDF
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://www.sobraep.org.br/site/uploads/2018/06/rvol9no1p6.pdfDirect OA link when available
- Concepts
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Phase-locked loop, Loop (graph theory), Transformation (genetics), SIGNAL (programming language), Algorithm, Computer science, Phase (matter), Mathematics, Telecommunications, Physics, Gene, Jitter, Quantum mechanics, Combinatorics, Chemistry, Biochemistry, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
- Citations by year (recent)
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2025: 1Per-year citation counts (last 5 years)
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21Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.Systems. | 145 |
| abstract_inverted_index.accuracy | 136 |
| abstract_inverted_index.compared | 138 |
| abstract_inverted_index.modeling | 87, 120 |
| abstract_inverted_index.original | 141 |
| abstract_inverted_index.proposes | 55 |
| abstract_inverted_index.required | 34 |
| abstract_inverted_index.reviewed | 90 |
| abstract_inverted_index.strictly | 29 |
| abstract_inverted_index.systems. | 40, 103 |
| abstract_inverted_index.Nonlinear | 142 |
| abstract_inverted_index.Reference | 67 |
| abstract_inverted_index.Transform | 10 |
| abstract_inverted_index.analysing | 36 |
| abstract_inverted_index.available | 49 |
| abstract_inverted_index.designing | 38 |
| abstract_inverted_index.functions | 98 |
| abstract_inverted_index.nonlinear | 17, 57, 95, 102 |
| abstract_inverted_index.rotations | 116 |
| abstract_inverted_index.speaking, | 30 |
| abstract_inverted_index.technique | 88 |
| abstract_inverted_index.validated | 130 |
| abstract_inverted_index.(SRF-PLL), | 71 |
| abstract_inverted_index.converters | 5 |
| abstract_inverted_index.coordinate | 83 |
| abstract_inverted_index.integrated | 19 |
| abstract_inverted_index.polynomial | 101 |
| abstract_inverted_index.stationary | 82 |
| abstract_inverted_index.subsystems | 18 |
| abstract_inverted_index.State-Space | 78 |
| abstract_inverted_index.Synchronous | 66 |
| abstract_inverted_index.algorithms. | 13, 126 |
| abstract_inverted_index.appropriate | 108 |
| abstract_inverted_index.simulations | 132 |
| abstract_inverted_index.Phase-Locked | 69 |
| abstract_inverted_index.large-signal | 31 |
| abstract_inverted_index.mathematical | 46 |
| abstract_inverted_index.Time-Periodic | 143 |
| abstract_inverted_index.Transformation | 63 |
| abstract_inverted_index.grid-connected | 4 |
| abstract_inverted_index.time-invariant | 58 |
| abstract_inverted_index.nonlinearities. | 27 |
| abstract_inverted_index.synchronization | 12 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 91 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.6700000166893005 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile.value | 0.35165725 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |