Power Factor Correction Based on Transmission Loss Minimization with Uncertain Source Harmonics and Load Characteristics

Aloquili, O.; Zobaa, Ahmed F.; Zeineldin, H. H.

doi:10.1080/15325000802454534

Cited by 7 publications

(7 citation statements)

References 17 publications

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“…This section represents the circuit and mathematical models of the case study. Figure describes the case study of an industrial plant . Figure shows the k th harmonic per‐phase circuit for the study system in addition to the compensator that is shunt‐connected across the load.…”

Section: System Modelmentioning

confidence: 99%

“…In the presence of harmonics, skin effect should be applied in the analysis to account for the frequency dependence of the resistive components of the loads. For lines and cables, a correction factor for skin effect is estimated as follows :

normalR = R ([], 1 + \frac{0.646 k^{2}}{192 + 0.518 k^{2}}) f o r italiclines

or,

R = R ([], 0.187 + 0.532 k^{\frac{1}{2}}) f o r italiccables .

…”

Section: System Modelmentioning

confidence: 99%

“…On the other hand, the voltage harmonics are magnified by an action of series resonance resulting in a high flow of current harmonics. The values of the C part and the L part causing resonance at the k th harmonic order are given by equation assuming large load impedance :

k X_{L} - \frac{X_{C}}{k} + X_{T k} = 0 .

…”

Section: System Modelmentioning

confidence: 99%

“…The non‐sinusoidal source and load characteristics are assumed to be random variables (RVs) and the optimal design is based on the mean values of those RVs. designs the LC compensator based on minimum voltage total harmonic distortion (VTHD) constraining the PF for probabilistic source harmonics and impedance while minimizes the expected value of the TL for the same conditions. shows how the probabilistic analysis provides guidance for the design of a compensation system made of more than the switchable unit, consisting of either filters or capacitors.…”

Section: Introductionmentioning

confidence: 99%

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Design of multi-step LC compensator for time-varying nonlinear loads based on genetic algorithm

Ibrahiem

Saleh

Eiteba

2016

Int. Trans. Electr. Energ. Syst.

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Summary This article presents a method to consider the probabilistic nature of load impedance and harmonic currents by designing a multi‐step inductive‐capacitive (LC) compensator consisting of switchable units thus assuming that a single unit is not sufficient to ensure satisfactory results. The proposed algorithm divides the time period into sub‐regions according to the scheduled number of switchable units over which the multi‐step LC compensator is optimized through different performance criteria; maximizing the power factor (PF), minimizing the transmission loss (TL) or minimizing the voltage total harmonic distortion (VTHD); as objective function resulting in lower variance, and hence, the more accurate expectation is obtained. Genetic algorithm (GA) is used to estimate that steps while holding the performance quantities at the corresponding desired values and constraining the compensator values which would create resonance. Also, the manufacturer's standard values for power shunt capacitors with/without equal steps are considered. GA is a search mechanism based on the principle of natural selection and population genetics. The contribution of the proposed procedure is demonstrated in examples taken from previous publications. Finally, simulated results show that the multi‐step LC compensator provides a considerable improvement in the performance in case of the probabilistic condition. Copyright © 2016 John Wiley & Sons, Ltd.

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Section: System Modelmentioning

confidence: 99%

normalR = R ([], 1 + \frac{0.646 k^{2}}{192 + 0.518 k^{2}}) f o r italiclines

or,

R = R ([], 0.187 + 0.532 k^{\frac{1}{2}}) f o r italiccables .

…”

Section: System Modelmentioning

confidence: 99%

k X_{L} - \frac{X_{C}}{k} + X_{T k} = 0 .

…”

Section: System Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Design of multi-step LC compensator for time-varying nonlinear loads based on genetic algorithm

Ibrahiem

Saleh

Eiteba

2016

Int. Trans. Electr. Energ. Syst.

View full text Add to dashboard Cite

show abstract

“…The non‐sinusoidal source and load characteristics are assumed to be RVs and the optimal design is based on the mean values of those RVs. Aloquili et al [17] design the LC compensator based on minimum voltage total harmonic distortion (VTHD) constraining the PF for probabilistic source harmonics and impedance while Zobaa [18] minimises the expected value of the TL for the same conditions. Cavallini et al [19] show how the probabilistic analysis can provide guidance for the design of multi‐step passive compensator, consisting of either filters or capacitors.…”

Section: Introductionmentioning

confidence: 99%