Polyphase symmetrical components revisited

R. Armstrong; K. Busawon; P. Minns

doi:10.1109/ELECOM49001.2020.9297021

Polyphase symmetrical components revisited

R. Armstrong, K. Busawon, P. Minns

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we revisit the notion of symmetrical components in electrical power systems that was introduced by Charles Legeyt Fortescue's in his seminal paper "Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks, AIEE Transactions, vol. 37, part II, pp. 1027-1140,1918". The aim of this work is to give a dear presentation of Charles Fortescue work and to present the underlying fundamental theory behind the concept of symmetrical components transformation as well as to dispel any confusion and misunderstandings related to negative and zero sequences that are present in some textbooks and literature. For this, we propose rigorous definitions of balanced/unbalanced systems and introduce the concept of n-phase k-step rotation operator that facilitates the understanding of symmetrical sequences. Additionally, the periodic properties for non-prime systems are highlighted.

Original language	English
Title of host publication	2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings
Editors	Sameerchand Pudaruth, Avinash Mungur, Robert T. F. Ah King, Tulsi Pawan Fowdur, Zoran Bojkovic, Dragorad Milovanovic, Visham Hurbungs
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	12-17
Number of pages	6
ISBN (Electronic)	9781728157078
DOIs	https://doi.org/10.1109/ELECOM49001.2020.9297021
Publication status	Published - 25 Nov 2020
Event	3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Balaclava, Mauritius Duration: 25 Nov 2020 → 27 Nov 2020

Conference

Conference	3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020
Country/Territory	Mauritius
City	Balaclava
Period	25/11/20 → 27/11/20

Keywords

distribution
protection
Symmetrical components

Access to Document

10.1109/ELECOM49001.2020.9297021

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Armstrong, R., Busawon, K., & Minns, P. (2020). Polyphase symmetrical components revisited. In S. Pudaruth, A. Mungur, R. T. F. Ah King, T. P. Fowdur, Z. Bojkovic, D. Milovanovic, & V. Hurbungs (Eds.), 2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings (pp. 12-17). Article 9297021 IEEE. https://doi.org/10.1109/ELECOM49001.2020.9297021

Armstrong, R. ; Busawon, K. ; Minns, P. / Polyphase symmetrical components revisited. 2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings. editor / Sameerchand Pudaruth ; Avinash Mungur ; Robert T. F. Ah King ; Tulsi Pawan Fowdur ; Zoran Bojkovic ; Dragorad Milovanovic ; Visham Hurbungs. Piscataway, NJ : IEEE, 2020. pp. 12-17

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title = "Polyphase symmetrical components revisited",

abstract = "In this paper, we revisit the notion of symmetrical components in electrical power systems that was introduced by Charles Legeyt Fortescue's in his seminal paper {"}Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks, AIEE Transactions, vol. 37, part II, pp. 1027-1140,1918{"}. The aim of this work is to give a dear presentation of Charles Fortescue work and to present the underlying fundamental theory behind the concept of symmetrical components transformation as well as to dispel any confusion and misunderstandings related to negative and zero sequences that are present in some textbooks and literature. For this, we propose rigorous definitions of balanced/unbalanced systems and introduce the concept of n-phase k-step rotation operator that facilitates the understanding of symmetrical sequences. Additionally, the periodic properties for non-prime systems are highlighted.",

keywords = "distribution, protection, Symmetrical components",

author = "R. Armstrong and K. Busawon and P. Minns",

year = "2020",

month = nov,

day = "25",

doi = "10.1109/ELECOM49001.2020.9297021",

language = "English",

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editor = "Sameerchand Pudaruth and Avinash Mungur and \{Ah King\}, \{Robert T. F.\} and Fowdur, \{Tulsi Pawan\} and Zoran Bojkovic and Dragorad Milovanovic and Visham Hurbungs",

booktitle = "2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings",

publisher = "IEEE",

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note = "3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 ; Conference date: 25-11-2020 Through 27-11-2020",

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Armstrong, R, Busawon, K & Minns, P 2020, Polyphase symmetrical components revisited. in S Pudaruth, A Mungur, RTF Ah King, TP Fowdur, Z Bojkovic, D Milovanovic & V Hurbungs (eds), 2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings., 9297021, IEEE, Piscataway, NJ, pp. 12-17, 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020, Balaclava, Mauritius, 25/11/20. https://doi.org/10.1109/ELECOM49001.2020.9297021

Polyphase symmetrical components revisited. / Armstrong, R.; Busawon, K.; Minns, P.
2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings. ed. / Sameerchand Pudaruth; Avinash Mungur; Robert T. F. Ah King; Tulsi Pawan Fowdur; Zoran Bojkovic; Dragorad Milovanovic; Visham Hurbungs. Piscataway, NJ: IEEE, 2020. p. 12-17 9297021.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Busawon, K.

AU - Minns, P.

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N2 - In this paper, we revisit the notion of symmetrical components in electrical power systems that was introduced by Charles Legeyt Fortescue's in his seminal paper "Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks, AIEE Transactions, vol. 37, part II, pp. 1027-1140,1918". The aim of this work is to give a dear presentation of Charles Fortescue work and to present the underlying fundamental theory behind the concept of symmetrical components transformation as well as to dispel any confusion and misunderstandings related to negative and zero sequences that are present in some textbooks and literature. For this, we propose rigorous definitions of balanced/unbalanced systems and introduce the concept of n-phase k-step rotation operator that facilitates the understanding of symmetrical sequences. Additionally, the periodic properties for non-prime systems are highlighted.

AB - In this paper, we revisit the notion of symmetrical components in electrical power systems that was introduced by Charles Legeyt Fortescue's in his seminal paper "Method of Symmetrical Coordinates Applied to the Solution of Polyphase Networks, AIEE Transactions, vol. 37, part II, pp. 1027-1140,1918". The aim of this work is to give a dear presentation of Charles Fortescue work and to present the underlying fundamental theory behind the concept of symmetrical components transformation as well as to dispel any confusion and misunderstandings related to negative and zero sequences that are present in some textbooks and literature. For this, we propose rigorous definitions of balanced/unbalanced systems and introduce the concept of n-phase k-step rotation operator that facilitates the understanding of symmetrical sequences. Additionally, the periodic properties for non-prime systems are highlighted.

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Armstrong R, Busawon K, Minns P. Polyphase symmetrical components revisited. In Pudaruth S, Mungur A, Ah King RTF, Fowdur TP, Bojkovic Z, Milovanovic D, Hurbungs V, editors, 2020 3rd International Conference on Emerging Trends in Electrical, Electronic and Communications Engineering, ELECOM 2020 - Proceedings. Piscataway, NJ: IEEE. 2020. p. 12-17. 9297021 doi: 10.1109/ELECOM49001.2020.9297021

Polyphase symmetrical components revisited

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