Method for determining utility and consumer harmonic contributions based on complex independent component analysis

Karimzadeh, F.; Esmaeili, Saeid; Hosseinian, Seyed Hossein

doi:10.1049/iet-gtd.2015.0997

Cited by 66 publications

(105 citation statements)

References 21 publications

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“…impedance. The complex ICA [15] and FastICA [16] are usually used to estimate the utility harmonic impedance when the utility harmonic variations are neglected. Meanwhile, most of the above methods are based upon the supposition that the utility harmonic are invariant.…”

Section: Basic Principle and Conventional Methods Of Harmonic Responsimentioning

confidence: 99%

“…These works can be mainly classified as fluctuation quantity methods [10,11], linear regression methods [12][13][14] and independent component analysis (ICA) [15,16] methods. Fluctuation quantity methods rely on the fluctuation quantity proportion of harmonic voltage to current for calculating the harmonic impedance.…”

Section: Introductionmentioning

confidence: 99%

“…The various regression analysis methods, such as the complex linear least squares [12], non-parametric regression [13] and multiple linear regression [14] methods, formulate an equation and solve the regression coefficient so as to get the utility harmonic impedance. The complex ICA [15] and FastICA [16] are usually used to estimate the utility harmonic impedance when the utility harmonic variations are neglected. Meanwhile, most of the above methods are based upon the supposition that the utility harmonic are invariant.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Piecewise Bound Constrained Optimization for Harmonic Responsibilities Assessment under Utility Harmonic Impedance Changes

Zang

Wang

et al. 2017

Energies

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Considering the effect of the utility harmonic impedance variations on harmonic responsibility, a method based on piecewise bound constrained optimization is proposed in this paper to evaluate the load harmonic responsibilities. The wavelet packet transform is employed to determine the change times of the utility harmonic impedances. The harmonic monitoring data is divided into several segments where the utility harmonic impedances are considered as constants. Then, the problem of harmonic responsibility assessment under utility harmonic impedance changes are settled by the piecewise bound constrained optimization model. Furthermore, the interior point, the sequential quadratic programming and the active set algorithm are respectively adopted to calculate all the instantaneous harmonic responsibilities of harmonic loads. Finally, the weighted summation is used to calculate the total harmonic responsibility. To demonstrate the validity, simulation tests are carried out on an experimental circuit and the IEEE 13-bus distribution system.

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Section: Basic Principle and Conventional Methods Of Harmonic Responsimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Piecewise Bound Constrained Optimization for Harmonic Responsibilities Assessment under Utility Harmonic Impedance Changes

Zang

Wang

et al. 2017

Energies

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“…At present, the mainstream methods for estimating the utility harmonic impedance are noninvasive, which mainly include the linear regression method [8][9][10][11][12][13], fluctuation quantity (FQ) method [14,15], independent random vector (IRV) method [16], and independent component analysis (ICA) method [17][18][19][20][21][22]. e linear regression method uses linear regression to calculate Norton equivalent circuit equation coefficient and obtain the harmonic impedance.…”

Section: Introductionmentioning

confidence: 99%

“…Besides, filters or reactive compensation capacitors are usually installed on the customer side, which may cause the harmonic impedances of both sides to be approximately equivalent. As for, the independence hypothesis of the harmonic sources of both sides is much idealized, and many researchers have pointed out that the assumption may not meet the practice [4,5,17,20,22].…”

Section: Introductionmentioning

confidence: 99%

A Harmonic Impedance Estimation Method Based on the Cauchy Mixed Model

Tang

et al. 2020

Mathematical Problems in Engineering

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In this paper, a new method without any tradition assumption to estimate the utility harmonic impedance of a point of common coupling (PCC) is proposed. But, the existing estimation methods usually are built on some assumptions, such as, the background harmonic is stable and small, the harmonic impedance of the customer side is much larger than that of utility side, and the harmonic sources of both sides are independent. However these assumptions are unpractical to modern power grid, which causes very wrong estimation. The proposed method first uses a Cauchy Mixed Model (CMM) to express the Norton equivalent circuit of the PCC because we find that the CMM can right fit the statistical distribution of the measured harmonic data for any PCC, by testing and verifying massive measured harmonic data. Also, the parameters of the CMM are determined by the expectation maximization algorithm (EM), and then the utility harmonic impedance is estimated by means of the CMM’s parameters. Compared to the existing methods, the main advantages of our method are as follows: it can obtain the accurate estimation results, but it is no longer dependent of any assumption and is only related to the measured data distribution. Finally, the effectiveness of the proposed method is verified by simulation and field cases.

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An impedance matrix constrained‐based method for harmonic emission level estimation

Zheng

Xiao

Wang

2020

Int Trans Electr Energ Syst

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Summary The harmonic impedances are important for both utility companies and their customers. The data have many uses, such as estimating harmonic emission levels, designing filters. Complex independent component analysis is a well‐accepted method for harmonic impedance estimation. However, a lack of data points for each calculation leads to wrong results. To increase the feasibility of this method, we proposed a constrained complex independent component analysis‐based method by adding the essential feature of the harmonic impedance matrix. Thus, the recovered source signals, which are highly consistent with the original source signals can be found when the data quantity for each calculation is little. The method has been verified using simulation studies and extensive field data. The results show that the proposed method can serve as a useful tool to support the harmonic impedance calculation task of utility companies and their customers.

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Method for determining utility and consumer harmonic contributions based on complex independent component analysis

Cited by 66 publications

References 21 publications

A Piecewise Bound Constrained Optimization for Harmonic Responsibilities Assessment under Utility Harmonic Impedance Changes

A Piecewise Bound Constrained Optimization for Harmonic Responsibilities Assessment under Utility Harmonic Impedance Changes

A Harmonic Impedance Estimation Method Based on the Cauchy Mixed Model

An impedance matrix constrained‐based method for harmonic emission level estimation

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