Harmonic modelling of PV systems for probabilistic harmonic load flow studies
Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviou...
Ausführliche Beschreibung
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| Autor*in: |
Ruiz‐Rodriguez, Francisco‐Javier [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Rechteinformationen: |
Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: International journal of circuit theory and applications - London : Wiley, 1973, 43(2015), 11, Seite 1541-1565 |
|---|---|
| Übergeordnetes Werk: |
volume:43 ; year:2015 ; number:11 ; pages:1541-1565 |
| Links: |
|---|
| DOI / URN: |
10.1002/cta.2021 |
|---|
| Katalog-ID: |
OLC1967821321 |
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| 520 | |a Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). | ||
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10.1002/cta.2021 doi PQ20160617 (DE-627)OLC1967821321 (DE-599)GBVOLC1967821321 (PRQ)p2142-82922287ca1ec4e37dcead918e035f792ac26c08d89039a4d98da0ff94e7239e3 (KEY)0080156920150000043001101541harmonicmodellingofpvsystemsforprobabilisticharmon DE-627 ger DE-627 rakwb eng 620 ZDB Ruiz‐Rodriguez, Francisco‐Javier verfasserin aut Harmonic modelling of PV systems for probabilistic harmonic load flow studies 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. harmonic modelling harmonic load flow Legendre series probabilistic load flow moment PV systems Hernandez, Jesus‐Casa oth Jurado, Francisco oth Enthalten in International journal of circuit theory and applications London : Wiley, 1973 43(2015), 11, Seite 1541-1565 (DE-627)129399531 (DE-600)186276-5 (DE-576)01478226X 0098-9886 nnns volume:43 year:2015 number:11 pages:1541-1565 http://dx.doi.org/10.1002/cta.2021 Volltext http://onlinelibrary.wiley.com/doi/10.1002/cta.2021/abstract http://search.proquest.com/docview/1725412497 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 AR 43 2015 11 1541-1565 |
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10.1002/cta.2021 doi PQ20160617 (DE-627)OLC1967821321 (DE-599)GBVOLC1967821321 (PRQ)p2142-82922287ca1ec4e37dcead918e035f792ac26c08d89039a4d98da0ff94e7239e3 (KEY)0080156920150000043001101541harmonicmodellingofpvsystemsforprobabilisticharmon DE-627 ger DE-627 rakwb eng 620 ZDB Ruiz‐Rodriguez, Francisco‐Javier verfasserin aut Harmonic modelling of PV systems for probabilistic harmonic load flow studies 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. harmonic modelling harmonic load flow Legendre series probabilistic load flow moment PV systems Hernandez, Jesus‐Casa oth Jurado, Francisco oth Enthalten in International journal of circuit theory and applications London : Wiley, 1973 43(2015), 11, Seite 1541-1565 (DE-627)129399531 (DE-600)186276-5 (DE-576)01478226X 0098-9886 nnns volume:43 year:2015 number:11 pages:1541-1565 http://dx.doi.org/10.1002/cta.2021 Volltext http://onlinelibrary.wiley.com/doi/10.1002/cta.2021/abstract http://search.proquest.com/docview/1725412497 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 AR 43 2015 11 1541-1565 |
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10.1002/cta.2021 doi PQ20160617 (DE-627)OLC1967821321 (DE-599)GBVOLC1967821321 (PRQ)p2142-82922287ca1ec4e37dcead918e035f792ac26c08d89039a4d98da0ff94e7239e3 (KEY)0080156920150000043001101541harmonicmodellingofpvsystemsforprobabilisticharmon DE-627 ger DE-627 rakwb eng 620 ZDB Ruiz‐Rodriguez, Francisco‐Javier verfasserin aut Harmonic modelling of PV systems for probabilistic harmonic load flow studies 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. harmonic modelling harmonic load flow Legendre series probabilistic load flow moment PV systems Hernandez, Jesus‐Casa oth Jurado, Francisco oth Enthalten in International journal of circuit theory and applications London : Wiley, 1973 43(2015), 11, Seite 1541-1565 (DE-627)129399531 (DE-600)186276-5 (DE-576)01478226X 0098-9886 nnns volume:43 year:2015 number:11 pages:1541-1565 http://dx.doi.org/10.1002/cta.2021 Volltext http://onlinelibrary.wiley.com/doi/10.1002/cta.2021/abstract http://search.proquest.com/docview/1725412497 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 AR 43 2015 11 1541-1565 |
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10.1002/cta.2021 doi PQ20160617 (DE-627)OLC1967821321 (DE-599)GBVOLC1967821321 (PRQ)p2142-82922287ca1ec4e37dcead918e035f792ac26c08d89039a4d98da0ff94e7239e3 (KEY)0080156920150000043001101541harmonicmodellingofpvsystemsforprobabilisticharmon DE-627 ger DE-627 rakwb eng 620 ZDB Ruiz‐Rodriguez, Francisco‐Javier verfasserin aut Harmonic modelling of PV systems for probabilistic harmonic load flow studies 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. harmonic modelling harmonic load flow Legendre series probabilistic load flow moment PV systems Hernandez, Jesus‐Casa oth Jurado, Francisco oth Enthalten in International journal of circuit theory and applications London : Wiley, 1973 43(2015), 11, Seite 1541-1565 (DE-627)129399531 (DE-600)186276-5 (DE-576)01478226X 0098-9886 nnns volume:43 year:2015 number:11 pages:1541-1565 http://dx.doi.org/10.1002/cta.2021 Volltext http://onlinelibrary.wiley.com/doi/10.1002/cta.2021/abstract http://search.proquest.com/docview/1725412497 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 AR 43 2015 11 1541-1565 |
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10.1002/cta.2021 doi PQ20160617 (DE-627)OLC1967821321 (DE-599)GBVOLC1967821321 (PRQ)p2142-82922287ca1ec4e37dcead918e035f792ac26c08d89039a4d98da0ff94e7239e3 (KEY)0080156920150000043001101541harmonicmodellingofpvsystemsforprobabilisticharmon DE-627 ger DE-627 rakwb eng 620 ZDB Ruiz‐Rodriguez, Francisco‐Javier verfasserin aut Harmonic modelling of PV systems for probabilistic harmonic load flow studies 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). Nutzungsrecht: Copyright © 2014 John Wiley & Sons, Ltd. harmonic modelling harmonic load flow Legendre series probabilistic load flow moment PV systems Hernandez, Jesus‐Casa oth Jurado, Francisco oth Enthalten in International journal of circuit theory and applications London : Wiley, 1973 43(2015), 11, Seite 1541-1565 (DE-627)129399531 (DE-600)186276-5 (DE-576)01478226X 0098-9886 nnns volume:43 year:2015 number:11 pages:1541-1565 http://dx.doi.org/10.1002/cta.2021 Volltext http://onlinelibrary.wiley.com/doi/10.1002/cta.2021/abstract http://search.proquest.com/docview/1725412497 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC GBV_ILN_70 AR 43 2015 11 1541-1565 |
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Ruiz‐Rodriguez, Francisco‐Javier |
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International journal of circuit theory and applications |
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Harmonic modelling of PV systems for probabilistic harmonic load flow studies |
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Harmonic modelling of PV systems for probabilistic harmonic load flow studies |
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Ruiz‐Rodriguez, Francisco‐Javier |
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International journal of circuit theory and applications |
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Ruiz‐Rodriguez, Francisco‐Javier |
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10.1002/cta.2021 |
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620 |
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harmonic modelling of pv systems for probabilistic harmonic load flow studies |
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Harmonic modelling of PV systems for probabilistic harmonic load flow studies |
| abstract |
Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). |
| abstractGer |
Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). |
| abstract_unstemmed |
Probabilistic harmonic load flow (HLF) is currently enjoying renewed popularity. This is not surprising since in the near future, thousands of photovoltaic (PV) systems will be integrated into distribution systems. However, as yet, there is no model capable of explaining PV harmonic current behaviour in probabilistic HLF studies. To fill this gap, the harmonic modelling of PV systems proposed in this paper has three key points. First, it provides an effective model of the relationship between PV harmonic current emission and background harmonic voltages. Second, it statistically characterises PV harmonic currents (relative magnitude and phase angle) at different fundamental‐frequency current output intervals using historical time‐series data. In this statistical characterisation, the first fifth moments of each PV harmonic current are used to accurately approximate the raw probability density function (PDF) by means of the Legendre series. Finally, the third key point of this harmonic modelling is a method capable of determining the distribution functions of PV harmonic currents (absolute magnitude and phase angle), based on the statistical characterisation and a fundamental‐frequency probabilistic PV model. The numerical results obtained confirm the effectiveness of this PV model. Copyright © 2014 John Wiley & Sons, Ltd. This paper proposes a photovoltaic (PV) model for probabilistic harmonic load flow studies, which is based on the statistical characterisation of the real fundamental‐frequency PV current and the statistical characterisation of PV harmonic currents (relative magnitude and phase angle) at different intervals of the fundamental‐frequency current output. This model uses the first characterisation (fundamental‐frequency PV current) to determine the weights of a mixture distribution based on the second characterisation (PV harmonic currents). |
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Harmonic modelling of PV systems for probabilistic harmonic load flow studies |
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http://dx.doi.org/10.1002/cta.2021 http://onlinelibrary.wiley.com/doi/10.1002/cta.2021/abstract http://search.proquest.com/docview/1725412497 |
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Hernandez, Jesus‐Casa Jurado, Francisco |
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