A hybrid least squares-clonal selection based algorithm for harmonics estimation

Moravej, Zahra; Enayati, Javad

doi:10.1002/etep.1676

Cited by 8 publications

(8 citation statements)

References 23 publications

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“…Harmonic analysis for a distorted signal containing interharmonic is presented in this section. Interharmonics are spectral components at frequencies that are not integer multiples of the system fundamental frequency [18]. To evaluate the performance of the RLS–IEKF algorithm in interharmonic estimation, an interharmonic is inserted to the standard waveform.…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Due to the presence of the distortions in electrical waveforms, current/voltage waveforms are generally expressed as periodic functions whose frequencies are integer multiples of the generated frequency. The discrete time form of the function can be written as [18–20]

Z_{k} = \sum_{n = 1}^{N} A_{n} \sin (2 π f n k τ_{normals} + θ_{n}) + σ_{v} randn (k)

where

n = 1, 2, . . ., N

represents order of the harmonic;

A_{n}

θ_{n}

and f are amplitude, phase angle and fundamental frequency,

σ_{v} randn false(k false)

is the additive Gaussian noise and

τ_{s}

is sampling period. The states which should be estimated are

A_{n}

θ_{n}

.…”

Section: Proposed Algorithmmentioning

confidence: 99%

“…Hence, artificial neural networks (ANNs) are applied to derive the non‐linear characteristics of the problem [14–17]. In spite of simplicity in implementation, if parameters of ANN are not set properly, the estimation process of the ANN will converge prematurely, leading to the decline of the accuracy of the estimation results [18]. Stochastic optimisation algorithms are based on stochastic search for an optimal solution to a given problem.…”

Section: Introductionmentioning

confidence: 99%

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Real‐time harmonics estimation in power systems using a novel hybrid algorithm

Enayati

Moravej

2017

IET Generation, Transmission & Distribution

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Section: Simulation Resultsmentioning

confidence: 99%

Z_{k} = \sum_{n = 1}^{N} A_{n} \sin (2 π f n k τ_{normals} + θ_{n}) + σ_{v} randn (k)

where

n = 1, 2, . . ., N

represents order of the harmonic;

A_{n}

θ_{n}

and f are amplitude, phase angle and fundamental frequency,

σ_{v} randn false(k false)

is the additive Gaussian noise and

τ_{s}

is sampling period. The states which should be estimated are

A_{n}

θ_{n}

.…”

Section: Proposed Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Real‐time harmonics estimation in power systems using a novel hybrid algorithm

Enayati

Moravej

2017

IET Generation, Transmission & Distribution

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“…Growing the computational resources has brought about significant time efficiency in signal processing problems. This developing procedure enables stochastic optimization algorithms to deal with harmonic estimation problem . Multiplicity of the possible solutions especially in phases of sinusoids extremely limits direct applicability of stochastic routines for practical cases.…”

Section: Introductionmentioning

confidence: 99%

Real‐time harmonic estimation using a novel hybrid technique for embedded system implementation

Enayati

Moravej

2017

Int Trans Electr Energ Syst

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Summary In this paper, an analytical technique for efficient estimation of harmonics generated by power systems is presented. A robust linear estimator known as H∞ filter is applied to extract the amplitudes of harmonics. As well, phases are estimated using a nonlinear algorithm, namely, cubature Kalman filter. Both methods are based upon space modeling of the studied signals leading to improved numerical stability. The proposed H∞‐cubature Kalman filter algorithm has the capability of estimating power system time varying waveforms even in highly noisy measurements. Synthetic and real signals are used for testing the proposed algorithm, and accuracy of the estimation is reported by statistical indices. Simulations in MATLAB are compared with unscented Kalman filter to represent the quality of estimation. Real‐time implementation of the proposed algorithm is conducted using C++ programming code in hardware‐in‐the‐loop laboratory. The setup consists of an embedded computer set and dedicated hardware. Results show satisfactory performance of the proposed method for practical application in power quality and protection cases.

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“…Ancak bu periyodik yöntemde örtüşme, sızıntı gibi olumsuz etkiler gürültü miktarını artırmaktadır [4]. Bu nedenlerle bu yöntemler, sinyalin gürültü içermesi durumunda tercih edilmemektedirler [5]. Diğer yandan, yüksek doğrulukta sonuçlar elde etmek açısından orijinal dalga formu ile harmoniklerin fazı arasındaki doğrusal olmayan bağlantıyı çözümlemek gerekmektedir.…”

Section: Gi̇ri̇ş (Introduction)unclassified

Elektri̇k Güç Si̇stemleri̇nde Zaman-Harmoni̇k Anali̇zi̇

Germeç¹,

Erdem²

2015

Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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ÖZETBu çalışmada, elektrik güç sistemlerinde zamanla değişen sinyaller için temel frekans tespiti ile harmonik ve araharmonik bileşenlerin genlik ve faz açılarının kestirimini kapsayan çok işlevli bir sistem yapısı geliştirilmiştir. Gerçekleştirilen bu sistem, basit ve açık yapısından dolayı başarımı arttıracak müdahalelerle harmonik bileşenlerinin yanı sıra, bu bileşenlerin hangi zaman aralığında ve ne oranda etkin oldukları bilgisini sunmaktadır. MATLAB programı ile benzetim ortamında yapılan çalışmalar, sistemin, akım ve gerilim dalga şekillerinin harmonik analizinde kullanışlı, etkin sonuçlar verdiğini göstermektedir. Bununla, zamanla değişen harmonik ve ara-harmoniklerin bireysel etkileri, zaman-harmonik uzayında gerçek zamanlı ve 3 boyutlu olarak tespit edilebilecektir.Anahtar Kelimeler: Güç sistemlerinde gerçek zamanlı harmonik tespiti, temel frekans kestirimi, zamanla değişen harmonik ve ara harmonikler, zaman-harmonik analizi TIME-HARMONIC ANALYSIS IN ELECTRIC POWER SYSTEMS ABSTRACTIn this study, for time-varying signals in electric power systems, a multi functional system structure involving fundamental frequency detection, phase angle and amplitude estimation of harmonic and interharmonic components have been developed. Due to its simple and open structure, this system provides knowledge of harmonic component values as well as information about at which intervals and to what extend these component values are effective, which is possible with interventions that improve performance.The results of the experimental studies performed by using MATLAB simulation environment show that, this system is convenient and effective for the harmonic analysis of the current and voltage waveforms. Therewith, the individual effects of this time-variant harmonic and interharmonic components could be instantly detected in 3D time-harmonic space.

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A hybrid least squares-clonal selection based algorithm for harmonics estimation

Cited by 8 publications

References 23 publications

Real‐time harmonics estimation in power systems using a novel hybrid algorithm

Real‐time harmonics estimation in power systems using a novel hybrid algorithm

Real‐time harmonic estimation using a novel hybrid technique for embedded system implementation

Elektri̇k Güç Si̇stemleri̇nde Zaman-Harmoni̇k Anali̇zi̇

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