Charles LeGeyt Fortescue and the method of symmetrical components

Furfari, F.A.; Brittain, J.E.

doi:10.1109/mia.2002.999605

Cited by 17 publications

(7 citation statements)

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“…where y 0 [n], y 1 [n] and y 2 [n] are called the zero, positive and negative sequence components, respectively. This transform has been introduced by Fortescue in 1918 to simplify the analysis of unbalanced polyphase systems [27], [28]. Using (14) in (13), we obtain the following theorem.…”

Section: B Estimation For Nmentioning

confidence: 99%

Maximum likelihood frequency estimation in smart grid applications

Choqueuse

Elbouchikhi

Benbouzid

2015

2015 IEEE 24th International Symposium on Industrial Electronics (ISIE)

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International audienceThis paper focuses on the estimation of the fundamental frequency in balanced three-phase power systems. Specifically, we propose a Maximum Likelihood Estimator (MLE) that exploits the multidimensional nature of electrical signals. For perfectly sinusoidal signals, we show that the MLE can be expressed according to the periodogram of the instantaneous positive component. For harmonic signals, we demonstrate that the MLE can be approximated by a cumulated periodogram of the zero, positive and negative sequence components. As compared to single-phase estimators, statistical analysis and simulation results prove that the proposed estimator decreases the Mean Square Error by a factor of three, whatever the Signal to Noise Ratio (SNR) or data length. Furthermore, simulations with experimental data show that the proposed technique outperforms classical spectral estimators such as MUSIC

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Section: B Estimation For Nmentioning

confidence: 99%

Maximum likelihood frequency estimation in smart grid applications

Choqueuse

Elbouchikhi

Benbouzid

2015

2015 IEEE 24th International Symposium on Industrial Electronics (ISIE)

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“…As this is a University of Manitoba work, it is keen to note that Fortescue was a Manitoban whose father was a fur trading factor for the Hudson Bay Company in York Factory, Manitoba. Unfortunately, he did not graduate from the University of Manitoba, as there was no Electrical Engineering Department during his graduating time [36].…”

Section: -The Symmetrical Components In the Frequency Domainmentioning

confidence: 99%

“…The dq0 transformation was introduced earlier than the αβ0 transformation by Park in his influential paper on synchronous machine published in 1929 [49], which ranked second at the evaluation of the high impact papers in power engineering of the twentieth century [36]. It establishes the relation between the stationary abc coordinate system and the rotating dq0 coordinate system.…”

Section: -The Dq0 Transformationmentioning

confidence: 99%

Enhanced Instantaneous Power Theory for Control of Grid Connected Voltage Sourced Converters Under Unbalanced Conditions

Montanari

Gole

2017

IEEE Trans. Power Electron.

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This thesis introduces a new method especially designed to control the instantaneous power in voltage sourced converters operating under unbalanced conditions, including positive, negative and zero sequence content. A transformation technique, labelled mno transformation, was developed to enable the decomposition of the total instantaneous power flowing on three-phase transmission topologies into constant and oscillating terms. It is applied to three-wire and four-wire schemes, especially accommodating zero sequence unlike previous approaches.

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“…Where K is the transformation matrix for symmetrical components (positive, negative and zero) [4], [5].…”

Section: Theoretical Approachmentioning

confidence: 99%

“…3 s h (4) Where h| 3 (h -Module 3) is the remaining portion of dividing h by 3. Thus, the 5 th harmonic will have sequence 5| 3 =2, that is, negative one.…”

Section: Symmetrymentioning

confidence: 99%

Harmonic analysis in ideal and nonideal electrical systems

Abreu

Arango

Belchior

2007

2007 9th International Conference on Electrical Power Quality and Utilisation

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This paper aims at analyzing some important aspects related to ideal and nonideal electrical systems. In this way, the analyses are presented in the theoretical form, followed by typical examples from field measurements. It is usual to associate some harmonic orders with specific equipment operation, like a noncontrolled 6 pulse rectifier, a motor, a generator, etc. These structures define characteristic harmonics in ideal electrical operation and occur in couple association. Depending on the similarity degree in the couple members, these harmonics had been called using a biological correlation, as univitelline and bivitelline. Similarly, there are differences in the same harmonic order phases that can be qualified according to a chemical analogy, namely in acid and alkaline harmonics. There are, also, differences between stator and rotor harmonics.

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Charles LeGeyt Fortescue and the method of symmetrical components

Cited by 17 publications

References 0 publications

Maximum likelihood frequency estimation in smart grid applications

Maximum likelihood frequency estimation in smart grid applications

Enhanced Instantaneous Power Theory for Control of Grid Connected Voltage Sourced Converters Under Unbalanced Conditions

Harmonic analysis in ideal and nonideal electrical systems

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