2018
DOI: 10.11591/ijece.v8i2.pp771-779
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Kalman Filter Algorithm for Mitigation of Power System Harmonics

Abstract: <p>The maiden application of a variant of Kalman Filter (KF) algorithms known as Local Ensemble Transform Kalman Filter (LET-KF) are used for mitigation and estimation power system harmonics are proposed in this paper. The proposed algorithm is applied for estimating the harmonic parameters of power signal containing harmonics, sub-harmonics and inter-harmonics in presence of random noise. The KF group of algorithms are tested and applied for both stationary as well as dynamic signal containing harmonics… Show more

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Cited by 10 publications
(9 citation statements)
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“…To show how the interharmonic estimation process performs, we consider the electric signal expressed as leftrightxfalse[nfalse]left=cos2πf0nTs+AI,1cos2πfI,1nTsrightleft+AI,2cos2πfI,2nTs+vfalse[nfalse], $\begin{array}{rl}\hfill x[n]& =\mathrm{cos}\left(2\pi {f}_{0}n{T}_{s}\right)+{A}_{I,1}\,\mathrm{cos}\left(2\pi {f}_{I,1}n{T}_{s}\right)\hfill \\ \hfill & \hspace{14.22636pt}+\,{A}_{I,2}\,\mathrm{cos}\left(2\pi {f}_{I,2}n{T}_{s}\right)+v[n],\hfill \end{array}$ where A I ,1 = 0.1 and A I ,2 = 0.1 are the interharmonics' amplitude with frequencies f I ,1 ∈ [10, 47] and f I ,2 ∈ [73–110], respectively, the SNR is equal to 45 dB and f 0 ∈ {59.9, 60} Hz.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…To show how the interharmonic estimation process performs, we consider the electric signal expressed as leftrightxfalse[nfalse]left=cos2πf0nTs+AI,1cos2πfI,1nTsrightleft+AI,2cos2πfI,2nTs+vfalse[nfalse], $\begin{array}{rl}\hfill x[n]& =\mathrm{cos}\left(2\pi {f}_{0}n{T}_{s}\right)+{A}_{I,1}\,\mathrm{cos}\left(2\pi {f}_{I,1}n{T}_{s}\right)\hfill \\ \hfill & \hspace{14.22636pt}+\,{A}_{I,2}\,\mathrm{cos}\left(2\pi {f}_{I,2}n{T}_{s}\right)+v[n],\hfill \end{array}$ where A I ,1 = 0.1 and A I ,2 = 0.1 are the interharmonics' amplitude with frequencies f I ,1 ∈ [10, 47] and f I ,2 ∈ [73–110], respectively, the SNR is equal to 45 dB and f 0 ∈ {59.9, 60} Hz.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Hence the capital cost of the system also increases. It may also lead to high THD and switching misfortunes as explained in [14].…”
Section: Various MLI Schemes 41 Existing Systemmentioning
confidence: 99%
“…A compensation technique of Fatih et al [29] gives the improved PQ and reactive power compensation. Similarly, to compute the noise level and eliminate the harmonics Dhineshkumar and Subramani [30] introduced Kalman filter and attained better computation of noise, harmonics elimination and improved PQ. The summarized form of review on existing research is given Table.1.…”
Section: B Filtersmentioning
confidence: 99%