Approximate Central Limit Theorems

Berckmoes, Ben; Molenberghs, Geert

doi:10.1007/s10959-017-0744-6

Cited by 3 publications

(3 citation statements)

References 14 publications

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“…The main constraints include the power balance constraint, unit climbing constraint, and minimum start-stop time constraint. The mathematical model is shown in (18).…”

Section: Construction and Solution Of The Coo Rough Modelmentioning

confidence: 99%

“…where ∆P Dt represents the active power reserved by the system at time t. First, the data-driven SCUC discrete variable identification strategy is utilized to determine constant units. Then, equation (18) is used to screen the solution space, and the feasible region Θ N of unit start-stop variable U Git can be obtained. The N feasible solutions are selected randomly and uniformly in the feasible region Θ N , and the cost F 1 for all start-stop units is taken as the objective function.…”

Section: Construction and Solution Of The Coo Rough Modelmentioning

confidence: 99%

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An Improved Constrained Order Optimization Algorithm for Uncertain SCUC Problem Solving

et al. 2019

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Studying the faster and more efficient method of solving the uncertain security-constrained unit commitment (SCUC) problem is an urgent need for the development of power systems under the background of large-scale wind power access and power dispatching. This study proposes an improved constrained order optimization (COO) algorithm to solve the uncertain SCUC problem. First, the data-driven discrete variable identification strategy is incorporated into the COO rough model, and then, the invalid security constraints identification strategy is incorporated into the COO accurate model. Finally, the improved COO algorithm combines the discrete variable identification with the invalid security constraint identification to make the uncertain SCUC decision. The results of the IEEE 118-bus test system showed that, compared with the traditional COO algorithm, the improved COO algorithm proposed has higher accuracy and better efficiency.

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“…The main constraints include the power balance constraint, unit climbing constraint, and minimum start-stop time constraint. The mathematical model is shown in (18).…”

Section: Construction and Solution Of The Coo Rough Modelmentioning

confidence: 99%

Section: Construction and Solution Of The Coo Rough Modelmentioning

confidence: 99%

An Improved Constrained Order Optimization Algorithm for Uncertain SCUC Problem Solving

et al. 2019

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“…According to the Lindeberg-Feller Central Limit Theorem [25], suppose that x i are the random series that the mean is E(x i ) = ξ i and the variance is Var(x i ) = δ 2 i , and the partial sum of the series is defined as:…”

Section: The Weakness Of the Complexica Algorithm For Separating Weakmentioning

confidence: 99%

A Method for Utility Harmonic Impedance Estimation Based on Constrained Complex Independent Component Analysis

et al. 2018

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Utility harmonic impedance is an important parameter for harmonic mitigation. In this paper, a method for utility harmonic impedance estimation method based on constrained independent component analysis is proposed. The conventional impedance estimation method based on ComplexICA has two major problems: the algorithm is not suitable for separating weak and strong source mixed signals, and lots of sample data should be provided to avoid converging on a local optimum. To solve the two problems, the prior information of the utility harmonic source is added to the objective function of ComplexICA; in this paper, the measurement data at PCC when the load is shutdown are chosen as the prior information. Then the utility harmonic source signal can be recovered and the separated matrix can be obtained effectively. The connection between the utility harmonic source, utility harmonic impedance and the data at PCC are established using Norton equivalent circuit, and then the separation matrix is used to calculate utility harmonic impedance. The performance and feasibility of the proposed method are verified by the computer simulation and field test. Compared with the current ComplexICA method, the proposed method is more adaptive to changes in the background harmonic and the calculation result is more stable.

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A Novel Harmonic Resonance Quantification Evaluation Index Based on Measured Data

You,

He,

et al. 2023

2023 3rd International Conference on Energy, Power and Electrical Engineering (EPEE)

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Approximate Central Limit Theorems

Cited by 3 publications

References 14 publications

An Improved Constrained Order Optimization Algorithm for Uncertain SCUC Problem Solving

An Improved Constrained Order Optimization Algorithm for Uncertain SCUC Problem Solving

A Method for Utility Harmonic Impedance Estimation Based on Constrained Complex Independent Component Analysis

A Novel Harmonic Resonance Quantification Evaluation Index Based on Measured Data

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