Theoretical considerations on a probabilistic approach to economic optimization of multi-step power factor correction apparatus

Cavallini, A.; Mazzanti, G.; Montanari, G.C.

doi:10.1109/ichqp.1998.760142

Cited by 5 publications

(4 citation statements)

References 10 publications

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“…1) is adequate where VTHD is less than 10% [13]. The voltage harmonic distortion at the compensated load terminals is defined as (6) where (7) where ; ; ;…”

Section: Basic Approach To Harmonic Reductionmentioning

confidence: 99%

“…Fixed solutions for one harmonic source condition may not be optimal for another. Therefore, time variations of the harmonics [4], [5] and impedances must be considered in designing optimum capacitors and/or filters [6], [7]. Reference [4] reviews the problems associated with the direct application of the fast Fourier transform (FFT) to compute harmonic levels of nonsteady state distorted waveforms, and various ways to describe recorded data in statistical terms.…”

Section: Introductionmentioning

confidence: 99%

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Voltage Harmonic Reduction for Randomly Time-Varying Source Characteristics and Voltage Harmonics

Zobaa

2006

IEEE Trans. Power Delivery

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Potential applications of probabilistic modeling of current and voltage harmonics concern many aspects of power system engineering as accurate prediction of power system harmonic behavior provides important information to utility companies and equipment designers. In this paper, a method of reducing the expected value of the total voltage harmonic distortion for a specified range of source impedance values at different buses by using LC compensators, where it is desired to maintain a given power factor at a specified value, is presented. The criterion is based on mean value estimation of source and load characteristics, which are enabled by sampling measurements performed on the examined electrical plant as well as statistical analysis.

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“…1) is adequate where VTHD is less than 10% [13]. The voltage harmonic distortion at the compensated load terminals is defined as (6) where (7) where ; ; ;…”

Section: Basic Approach To Harmonic Reductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Voltage Harmonic Reduction for Randomly Time-Varying Source Characteristics and Voltage Harmonics

Zobaa

2006

IEEE Trans. Power Delivery

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“… 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. The expected cost of the compensator (including energy costs, utility penalties and installation mortgage) is selected as an objective function, based on measurement results and statistics.…”

Section: Introductionmentioning

confidence: 99%

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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“…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. The expected cost of the compensator (including energy costs, utility penalties and installation mortgage) is optimised based on measurement results and statistics.…”

Section: Introductionmentioning

confidence: 99%

Economic aspects for multi‐step LC compensator with uncertain load characteristics using genetic algorithm

Saleh

Ibrahiem

Eiteba

2016

IET Generation, Transmission & Distribution

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Theoretical considerations on a probabilistic approach to economic optimization of multi-step power factor correction apparatus

Cited by 5 publications

References 10 publications

Voltage Harmonic Reduction for Randomly Time-Varying Source Characteristics and Voltage Harmonics

Voltage Harmonic Reduction for Randomly Time-Varying Source Characteristics and Voltage Harmonics

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

Economic aspects for multi‐step LC compensator with uncertain load characteristics using genetic algorithm

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