Interval arithmetic in current injection power flow analysis

Pereira, L.E.S.; Costa, Vander Menengoy da; Rosa, A. La

doi:10.1016/j.ijepes.2012.05.034

Cited by 65 publications

(28 citation statements)

References 26 publications

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“…However, these approaches require approximations and are often strict regarding the PDF formulations of statistic variables. Recently, some new approaches have been applied to OPF analysis, such as interval analysis [17], fuzzy theory [18] and affine arithmetic [19].…”

Section: Introductionmentioning

confidence: 99%

Handling uncertainties with affine arithmetic and probabilistic OPF for increased utilisation of overhead transmission lines

Fang

Zou

Coletta

et al. 2019

Electric Power Systems Research

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Large-scale integration of variable and unpredictable renewable-based generation systems poses significant challenges to the secure and reliable operation of transmission networks. Application of dynamic thermal rating (DTR) allows for a higher utilisation of transmission lines and effectively avoids high-cost upgrading and/or reinforcing of transmission system infrastructure. In order to efficiently handle ranges of uncertainties introduced by the variations of both wind energy sources and system loads, this paper introduces a novel optimization model, which combines affine arithmetic (AA) and probabilistic optimal power flow (P-OPF) for DTR-based analysis of transmission networks. The proposed method allows for the improved analysis of underlying uncertainties on the supply, transmission and demand sides, which are expressed in the form of probability distributions (e.g. for wind speeds, wind directions, wind power generation and demand variations) and related interval values. The paper presents a combined AA-P-OPF method, which can provide important information to transmission system operators for evaluating the trade-off between security and costs at a planning stage, as well as for selecting optimal controls at operational stage. The AA-P-OPF methodology is illustrated for a day-ahead planning, using a case study of a real transmission network and a medium size test distribution network.. .

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Section: Introductionmentioning

confidence: 99%

Handling uncertainties with affine arithmetic and probabilistic OPF for increased utilisation of overhead transmission lines

Fang

Zou

Coletta

et al. 2019

Electric Power Systems Research

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“…In Refs. [18] and [19] the Krawczyk-Moore iteration method is proposed to solve the interval power flow equations respectively. The interval fast decoupled algorithm is studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

Interval power flow analysis via multi-stage affine arithmetic for unbalanced distribution network

Wang

Dou

et al. 2017

Electric Power Systems Research

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“…For example, with interval power flow [11], as a particular branch of fuzzy power flow, the method assumes that uncertain parameters usually have the property of being "unknown but bounded" and thus can be modeled by interval numbers [12]. All the above makes a great contribution to contingency analysis under uncertainty for static security assessment.…”

Section: Introductionmentioning

confidence: 99%

An interval-based contingency selection approach considering uncertainty

Xu¹,

Gu²,

Luo³

et al. 2016

Turk J Elec Eng & Comp Sci

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Static security assessment is affected by uncertainties of load flow distributions introduced by renewable sources. A fast contingency selection approach based on interval theory is proposed in this paper. Firstly, an interval line active flow calculation algorithm is developed to reduce conservation in application of interval mathematics in line flow calculation. Then a novel interval comparison method based on Bayesian probability theory is applied in interval index comparison to give the relative severity information of contingencies. Finally, an approximately consistent ranking method is utilized in contingency ranking to rank screened contingencies. Numerical studies on several IEEE standard test systems and two practical provincial power grids in China under different load and generation conditions have proved that the proposed approach is computationally light and highly accurate under different uncertainties.

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Interval arithmetic in current injection power flow analysis

Cited by 65 publications

References 26 publications

Handling uncertainties with affine arithmetic and probabilistic OPF for increased utilisation of overhead transmission lines

Handling uncertainties with affine arithmetic and probabilistic OPF for increased utilisation of overhead transmission lines

Interval power flow analysis via multi-stage affine arithmetic for unbalanced distribution network

An interval-based contingency selection approach considering uncertainty

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