2017
DOI: 10.1016/j.apenergy.2016.12.020
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An interval gas flow analysis in natural gas and electricity coupled networks considering the uncertainty of wind power

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Cited by 135 publications
(43 citation statements)
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“…In this way, by using square difference formula, only a calculation of interval multiplication is needed to be performed when [J G ] is calculated by [ f mn ], while addition and subtraction is performed by affine mathematics. Hence, the results will be more accurate by using (30) and (31):…”
Section: Improvement Of [J G ]mentioning
confidence: 99%
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“…In this way, by using square difference formula, only a calculation of interval multiplication is needed to be performed when [J G ] is calculated by [ f mn ], while addition and subtraction is performed by affine mathematics. Hence, the results will be more accurate by using (30) and (31):…”
Section: Improvement Of [J G ]mentioning
confidence: 99%
“…A power flow calculation method based on interval mathematics is proposed in Ref. [29], and an interval gas flow model considering the uncertainty of wind power is analyzed in [30].Considering that the interval mathematics provides an approach to describe the uncertain information, which only needs upper and lower bounds of uncertainties, interval mathematics is applied to calculate the energy flow and analyze the impact of the uncertainties in the operating IENGS. So, this paper is aimed at the analysis of energy flow considering various uncertainties that may occur in the operating IENGS.…”
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confidence: 99%
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“…Natural gas has become an important and promising alternative fuel for power systems, as compared to traditional fossil fuels such as coal or oil, owing to low pollutant emission, high energy conversion efficiency, and technology improvements of gas turbines. Indeed, the total installed capacity of natural gas generators has been continually increasing since the 1980s, which accounts for over 70% of total installed generation capacity in Qatar and Malaysia, about 40%-60% in Holland and Argentina, and about 20%-40% in Britain, Japan, and Italy now [1,2].…”
Section: Introductionmentioning
confidence: 99%
“…A general multiple energy carrier power flow model was developed based on nodal power balance, and line losses were calculated as polynomial functions of the corresponding power flow [16]. The nonlinear model of the gas network was formulated in detail containing gas well, gas pipeline, gas compressor, gas loads, and so on [17][18][19]. In [20], a natural gas network system was incorporated in IES, and the gas shift matrix, similar to the generation shift factor in DC power flow model, was formulated to linearize the pipeline flow equation so that the computational efficiency was improved.…”
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confidence: 99%