A time-domain statistical approach for harmonics separation and analysis

He, Chuan; Shu, Qin; Liu, Tianqi; Han, Xiaoyan

doi:10.1002/etep.2239

Cited by 7 publications

(4 citation statements)

References 20 publications

(26 reference statements)

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“…That is, the length of line segment oe is equal to instantaneous value ie of the SSC calculated by Equation ( 1) as well as PD ρe of point e calculated by equation (3).…”

Section: Geometric Proof Of Pdt Circles Of Sinusoidal Functionsmentioning

confidence: 99%

“…In currently known theories and algorithms for fault recording analysis there conducted from three aspects: time-domain analysis, analysis combining time and frequency domain, and analysis using space vectors. For example, in literature [3] a novel time-domain statistical method is proposed to separate and study harmonics based on single-channel analysis and principal component analysis, the effectiveness of which is verified by mathematical derivation, and the robustness of which is tested by simulated synthetic and actual signals. In literature [4] an improved energy algorithm is proposed by analyzing the source of high-frequency transient signals and extracting current information by wavelet analysis when faults occur inside and outside a protective zone to assist maintenance personnel in finding fault phases quickly.…”

Section: Introductionmentioning

confidence: 99%

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Time-domain waveforms and phase-domain trajectories of fault recording and mathematical models of phase-domain trajectories

Ge,

Ren,

2023

Preprint

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In order to form the phase-domain trajectories of fault recording and their mathematical models to construct a theoretical basis to mine fault feature parameters deeply, after analyzing the status of existing fault recording analysis and its application, its time-domain waveforms and phase-domain trajectories are plotted by the function of a polar coordinate system in matlab. The mapping relationship between the time-domain waveforms of sinusoids and their phase-domain trajectories is proposed, and the relationship between the initial phase angle of a sinusoid and the position of its trajectory is analyzed, as well as the characteristics and mathematical model of the trajectories of short-circuit currents containing dc components and non-sinusoidal periodical currents containing harmonics. The results show that the relationship between the initial phase angle of a sinusoid and the position of its circular trajectory is definite, the dc components and harmonics in short-circuit currents have different impacts on their trajectories. The dc components have no impact on the positions of the trajectories of the short-circuit currents, but on their sizes and shapes; while the harmonics have an impact on the shapes of the trajectories and their positions are decided by the initial phase angles of the waveforms. Subsequent study of the algorithm of fault recording analysis will be spread based on the contents in this paper.

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“…That is, the length of line segment oe is equal to instantaneous value ie of the SSC calculated by Equation ( 1) as well as PD ρe of point e calculated by equation (3).…”

Section: Geometric Proof Of Pdt Circles Of Sinusoidal Functionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-domain waveforms and phase-domain trajectories of fault recording and mathematical models of phase-domain trajectories

Ge,

Ren,

2023

Preprint

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“…Various combinations of this technique help to select the best features for classification of the PQ disturbances. This includes, Microgenetic algorithms [149], statistical approach [150], and online sequential learning algorithm in [151]. The optimal feature selection using DT in the presence of RE sources (SPV and WE) is presented in [152].…”

Section: A: Genetic Algorithm-based Optimization Techniquesmentioning

confidence: 99%

Comprehensive Review on Detection and Classification of Power Quality Disturbances in Utility Grid With Renewable Energy Penetration

et al. 2020

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The global concern with power quality is increasing due to the penetration of renewable energy (RE) sources to cater the energy demands and meet de-carbonization targets. Power quality (PQ) disturbances are found to be more predominant with RE penetration due to the variable outputs and interfacing converters. There is a need to recognize and mitigate PQ disturbances to supply clean power to the consumer. This paper presents a critical review of techniques used for detection and classification PQ disturbances in the utility grid with renewable energy penetration. The broad perspective of this review paper is to provide various concepts utilized for extraction of the features to detect and classify the PQ disturbances even in the noisy environment. More than 220 research publications have been critically reviewed, classified and listed for quick reference of the engineers, scientists and academicians working in the power quality area.

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“…In currently known theories and algorithms of fault recording analysis there conducted from three aspects: time-domain analysis, analysis combining time- with frequency-domain, and analysis using space vectors. For example, a novel time-domain statistical method is proposed to separate and study harmonics based on single-channel analysis and principal component analysis 3 , an improved energy algorithm is proposed by analyzing the source of high-frequency transient signals and extracting current information by wavelet analysis when faults occur inside and outside a protective zone to assist maintenance personnel in finding fault phases quickly 4 , and a method for fault signal processing is presented, where three-phase fault voltages are converted into one absolute value vector of the phasors in a complex space, and faults are located by performing Hilbert-Huang transform to the fault traveling waves of this vector 5 .…”

Section: Introductionmentioning

confidence: 99%

A research report on the phase-domain trajectories of fault recording and their mathematical models

Ge,

Ren,

2024

Sci Rep

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In currently known theories and algorithms of fault recording analysis and application, there is little literature where fault feature parameters are mined deeply from electrical physical quantities themselves. In this report the calculation method of the phase angles of the reference point and sample points is obtained, which ensures the correspondence of the time-domain waveform of digital fault recording with its phase-domain trajectory. The relationship between the initial phase angle of a sinusoid and the position of its trajectory, the characteristics of the trajectories of three-phase short-circuit currents containing dc components and the mathematical models of these trajectories are analyzed. Taking a rectangular wave current and a triangle wave current as example, the characteristics of the trajectories of non-sinusoidal and periodical waveforms containing harmonics are analyzed as well as their mathematical models. The research results show that the relationship between the initial phase angle of a sinusoid and the position of its circular trajectory is definite; the dc components have no impact on the positions of the trajectories of the short-circuit currents, but on their sizes and shapes; the harmonics have an impact on the shapes of the trajectories, and their positions are decided by the initial phase angles of the ac fundamental components in the waveforms. Subsequent study of the algorithm of fault recording analysis will be spread based on the contents in this report.

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A time-domain statistical approach for harmonics separation and analysis

Cited by 7 publications

References 20 publications

Time-domain waveforms and phase-domain trajectories of fault recording and mathematical models of phase-domain trajectories

Time-domain waveforms and phase-domain trajectories of fault recording and mathematical models of phase-domain trajectories

Comprehensive Review on Detection and Classification of Power Quality Disturbances in Utility Grid With Renewable Energy Penetration

A research report on the phase-domain trajectories of fault recording and their mathematical models

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