Field data-based mathematical modeling by Bode equations and vector fitting algorithm for renewable energy applications
The power system always has several variations in its profile due to random load changes or environmental effects such as device switching effects when generating further transients. Thus, an accurate mathematical model is important because most system parameters vary with time. Curve modeling of po...
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Published in | PloS one Vol. 13; no. 1; p. e0191478 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
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Public Library of Science
19.01.2018
Public Library of Science (PLoS) |
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Abstract | The power system always has several variations in its profile due to random load changes or environmental effects such as device switching effects when generating further transients. Thus, an accurate mathematical model is important because most system parameters vary with time. Curve modeling of power generation is a significant tool for evaluating system performance, monitoring and forecasting. Several numerical techniques compete to fit the curves of empirical data such as wind, solar, and demand power rates. This paper proposes a new modified methodology presented as a parametric technique to determine the system's modeling equations based on the Bode plot equations and the vector fitting (VF) algorithm by fitting the experimental data points. The modification is derived from the familiar VF algorithm as a robust numerical method. This development increases the application range of the VF algorithm for modeling not only in the frequency domain but also for all power curves. Four case studies are addressed and compared with several common methods. From the minimal RMSE, the results show clear improvements in data fitting over other methods. The most powerful features of this method is the ability to model irregular or randomly shaped data and to be applied to any algorithms that estimating models using frequency-domain data to provide state-space or transfer function for the model. |
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AbstractList | The power system always has several variations in its profile due to random load changes or environmental effects such as device switching effects when generating further transients. Thus, an accurate mathematical model is important because most system parameters vary with time. Curve modeling of power generation is a significant tool for evaluating system performance, monitoring and forecasting. Several numerical techniques compete to fit the curves of empirical data such as wind, solar, and demand power rates. This paper proposes a new modified methodology presented as a parametric technique to determine the system's modeling equations based on the Bode plot equations and the vector fitting (VF) algorithm by fitting the experimental data points. The modification is derived from the familiar VF algorithm as a robust numerical method. This development increases the application range of the VF algorithm for modeling not only in the frequency domain but also for all power curves. Four case studies are addressed and compared with several common methods. From the minimal RMSE, the results show clear improvements in data fitting over other methods. The most powerful features of this method is the ability to model irregular or randomly shaped data and to be applied to any algorithms that estimating models using frequency-domain data to provide state-space or transfer function for the model. |
Audience | Academic |
Author | W Hasan, W Z Radzi, M A M Shafie, S Sabry, A H Ab Kadir, M Z A |
AuthorAffiliation | 2 Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, Serdang, Malaysia 1 Department of Control and Automation, Faculty of Engineering, UPM, Serdang, Malaysia Universita degli Studi della Tuscia, ITALY |
AuthorAffiliation_xml | – name: 1 Department of Control and Automation, Faculty of Engineering, UPM, Serdang, Malaysia – name: Universita degli Studi della Tuscia, ITALY – name: 2 Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, Serdang, Malaysia |
Author_xml | – sequence: 1 givenname: A H orcidid: 0000-0002-2736-5582 surname: Sabry fullname: Sabry, A H organization: Department of Control and Automation, Faculty of Engineering, UPM, Serdang, Malaysia – sequence: 2 givenname: W Z surname: W Hasan fullname: W Hasan, W Z organization: Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, Serdang, Malaysia – sequence: 3 givenname: M Z A surname: Ab Kadir fullname: Ab Kadir, M Z A organization: Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, Serdang, Malaysia – sequence: 4 givenname: M A M surname: Radzi fullname: Radzi, M A M organization: Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, Serdang, Malaysia – sequence: 5 givenname: S surname: Shafie fullname: Shafie, S organization: Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, Serdang, Malaysia |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/29351554$$D View this record in MEDLINE/PubMed |
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CitedBy_id | crossref_primary_10_1109_ACCESS_2020_3015579 crossref_primary_10_1002_ese3_264 crossref_primary_10_1109_ACCESS_2018_2848903 crossref_primary_10_1109_TIE_2019_2931511 |
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Copyright | COPYRIGHT 2018 Public Library of Science 2018 Sabry et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. 2018 Sabry et al 2018 Sabry et al |
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Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 Competing Interests: The authors have declared that no competing interests exist. Current address: Ministry of Electricity, Alqudus Power Plant, Baghdad, Iraq |
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SubjectTerms | Algorithms Alternative energy sources Data points Earth Sciences Electric power systems Electricity distribution Engineering Engineering and Technology Environmental changes Environmental effects Frequency domain analysis Mathematical models Numerical methods Physical Sciences Random loads Renewable energy Research and Analysis Methods Robustness (mathematics) Solar energy Solar power Transfer functions Wind power |
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Title | Field data-based mathematical modeling by Bode equations and vector fitting algorithm for renewable energy applications |
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