Fast and reliable uncertain power flow analysis by affine arithmetic

Coletta, Guido; Vaccaro, Alfredo; Villacci, D.

doi:10.1016/j.epsr.2019.04.038

Cited by 8 publications

(2 citation statements)

References 15 publications

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“…In the existing affine algorithm, scholars express the form of every interval parameter from x=true[xtrue¯,xtrue¯true] to affine form xtruê (Coletta et al , 2019; Vaccaro and Canizares, 2017): where x 0 is the central value of xtruê, x i is the increment of xtruê, ε i ∈ [−1, 1]. Although this method can avoid the problem of correlation, it needs to transform every interval parameter into affine form, which increases the workload.…”

Section: Statement Of the Problemmentioning

confidence: 99%

Based-restraining interval extension improved truncation algorithm for response analysis of uncertain mechanical systems

Liu

Wang

et al. 2021

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Purpose This study aims to propose an improved affine interval truncation algorithm to restrain interval extension for interval function. Design/methodology/approach To reduce the occurrence times of related variables in interval function, the processing method of interval operation sequence is proposed. Findings The interval variable is evenly divided into several subintervals based on correlation analysis of interval variables. The interval function value is modified by the interval truncation method to restrain larger estimation of interval operation results. Originality/value Through several uncertain displacement response engineering examples, the effectiveness and applicability of the proposed algorithm are verified by comparing with interval method and optimization algorithm.

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Section: Statement Of the Problemmentioning

confidence: 99%

Based-restraining interval extension improved truncation algorithm for response analysis of uncertain mechanical systems

Liu

Wang

et al. 2021

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“…Further, to enhance the robustness and L-stability of the approach, a backward Euler method was utilized in [9]. To solve uncertain PF analysis, an affine arithmetic method was explored in [10]. In [11], the application of two cubic methods, namely, Darvishi and Weerakoon-like approaches was examined to solve PF studies.…”

Section: Introductionmentioning

confidence: 99%

A Quasi-Oppositional Heap-Based Optimization Technique for Power Flow Analysis by Considering Large Scale Photovoltaic Generator

Vedik¹,

Rangarajan

Shiva³

et al. 2021

Energies

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Load flow analysis is an essential tool for the reliable planning and operation of interconnected power systems. The constant increase in power demand, apart from the increased intermittency in power generation due to renewable energy sources without proportionate augmentation in transmission system infrastructure, has driven the power systems to function nearer to their limits. Though the power flow (PF) solution may exist in such circumstances, the traditional Newton–Raphson based PF techniques may fail due to computational difficulties owing to the singularity of the Jacobian Matrix during critical conditions and faces difficulties in solving ill-conditioned systems. To address these problems and to assess the impact of large-scale photovoltaic generator (PVG) integration in power systems on power flow studies, a derivative-free quasi-oppositional heap-based optimization (HBO) (QOHBO) technique is proposed in the present paper. In the proposed approach, the concept of quasi-oppositional learning is applied to HBO to enhance the convergence speed. The efficacy and effectiveness of the proposed QOHBO-PF technique are verified by applying it to the standard IEEE and ill-conditioned systems. The robustness of the algorithm is validated under the maximum loadability limits and high R/X ratios, comparing the results with other well-known methods suggested in the literature. The results thus obtained show that the proposed QOHBO-PF technique has less computation time, further enhancement of reliability in the presence of PVG, and has the ability to provide multiple PF solutions that can be utilized for voltage stability analysis.

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Overview and applications of Robust optimization in the avant-garde energy grid infrastructure: A systematic review

Rahim

Wang

2022

Applied Energy

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Fast and reliable uncertain power flow analysis by affine arithmetic

Cited by 8 publications

References 15 publications

Based-restraining interval extension improved truncation algorithm for response analysis of uncertain mechanical systems

Based-restraining interval extension improved truncation algorithm for response analysis of uncertain mechanical systems

A Quasi-Oppositional Heap-Based Optimization Technique for Power Flow Analysis by Considering Large Scale Photovoltaic Generator

Overview and applications of Robust optimization in the avant-garde energy grid infrastructure: A systematic review

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