Using linear and non‐parametric regression models to describe the contribution of non‐linear loads on the voltage harmonic distortions in the electrical grid

Matos, Edson Ortiz de; Soares, Thiago Mota; Bezerra, Ubiratan Holanda; Tostes, Maria Emília de Lima; Manito, Allan Rodrigo Arrifano; Costa, B. C.

doi:10.1049/iet-gtd.2015.0948

Cited by 26 publications

(29 citation statements)

References 22 publications

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“…Linear regression is a common assessment method for harmonic responsibilities [12,13], which is based on monitoring the harmonic voltage and current at the PCC.…”

Section: Hmentioning

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%

“…Fluctuation quantity methods rely on the fluctuation quantity proportion of harmonic voltage to current for calculating the harmonic impedance. 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.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Linear regression is a common assessment method for harmonic responsibilities [12,13], which is based on monitoring the harmonic voltage and current at the PCC.…”

Section: Hmentioning

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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“…It is necessary to not only utilize every possible resource of energy, but also make the transmission system as efficient, reliable, and stable as possible. The worldwide integration of renewables and other power electronic (PE)-based resources at distribution grids (DGs) is an effort to meet this ever-increasing energy demand [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

Small Signal Stability of a Balanced Three-Phase AC Microgrid Using Harmonic Linearization: Parametric-Based Analysis

2018

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The growth of power-electronic-based components is inescapable in future distribution grids (DGs). The introduction of these non-linear components poses many challenges, not only in terms of power quality, but also in terms of stability. These challenges become more acute when active loads are behaving as generators and power is flowing in reverse direction. The frequency-domain-based impedance modeling methods are preferred for small signal stability analysis (SSSA) of DGs involving such non-linear components. The harmonic linearization method can be used for impedance estimation, and afterwards, the Nyquist stability criterion can be used for stability analysis. In this paper, a parametric-based stability analysis of grid-connected active loads at the point of common coupling (PCC) is done by changing the parallel clustering distance and size of active loads. The results verify a positive impact on the stability of increasing parallel clustering and distance from the PCC and a negative impact of increasing the size of individual active loads.

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“…Su et al, [14] have stated that linear regression aims to create linear relationship between two sets of variables and is used in the field of batch processing analysis, calibration of chemicals, machine learning and video surveillance. De Matos et al, [15] have used regression models to explain distortion caused by non-linear loads.…”

Section: Introductionmentioning

confidence: 99%

Regression based approach for measurement of current in single-phase smart energy meter

Singh¹,

Arun²,

Selvan³

2017

2017 IEEE Region 10 Symposium (TENSYMP)

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In the present scenario rate of utilization of electrical energy is continuously increasing, to preserve the nonrenewable energy resources, efficient consumption of electrical energy is one of the most important needs of this era. Smart Energy Meter (SEM) plays a vital role in efficient use of electrical energy in consumer premises. Accuracy in the measurement of current is one of the key factors to be considered while measuring energy consumption. This paper introduces Arduino based low cost single-phase SEM and proposes a linear regression based technique for accurate measurement of current. The proposed current measurement approach gives accurate measurement for linear as well as highly non-linear loads. The SEM built in the laboratory has data transfer capability and also embedded with Demand Response (DR) feature. Block Rate Tariff structure used by Tamil Nadu Generation and Distribution Company is considered to incorporate DR that warns the consumers whenever their energy consumption reaches the boundary of a block.

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Using linear and non‐parametric regression models to describe the contribution of non‐linear loads on the voltage harmonic distortions in the electrical grid

Cited by 26 publications

References 22 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

Small Signal Stability of a Balanced Three-Phase AC Microgrid Using Harmonic Linearization: Parametric-Based Analysis

Regression based approach for measurement of current in single-phase smart energy meter

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