A general reliable quadratic form: An extension of affine arithmetic

F Messine, A Touhami - Reliable Computing, 2006 - Springer
… In this article, a new extension of affine arithmetic is introduced. This technique … Affine
Arithmetic and Associated Known Forms The purpose of this section is to recall the affine arithmetic

How affine arithmetic helps beat uncertainties in electrical systems

T Ding, R Trinchero, P Manfredi… - IEEE Circuits and …, 2015 - ieeexplore.ieee.org
affine arithmetic, is discussed and compared. The article reviews in particular the application
of the affine arithmetic … The affine arithmetic turns out to be accurate and more efficient than …

Uncertain power flow analysis based on evidence theory and affine arithmetic

J Luo, L Shi, Y Ni - IEEE Transactions on Power Systems, 2017 - ieeexplore.ieee.org
… method based on the evidence theory and the extended affine arithmetic is proposed,
extending from previous achievements on the application of affine arithmetic in power flow [1]–[3] …

An affine arithmetic-based method for voltage stability assessment of power systems with intermittent generation sources

J Muñoz, C Cañizares, K Bhattacharya… - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
This paper presents a novel method based on affine arithmetic (AA) for voltage stability
assessment of power systems considering uncertainties associated with operating conditions, …

[HTML][HTML] Thermal rating assessment of overhead lines by Affine Arithmetic

A Piccolo, A Vaccaro, D Villacci - Electric Power Systems Research, 2004 - Elsevier
… To address this problem, in the paper the use of Affine Arithmetic, an enhanced model for …
In this paper a new approach, based on Affine Arithmetic, for thermal rating assessment of …

[HTML][HTML] Multi-objective optimal allocation of distributed generations under uncertainty based on DS evidence theory and affine arithmetic

Q Zhao, S Wang, K Wang, B Huang - … Journal of Electrical Power & Energy …, 2019 - Elsevier
… The affine arithmetic (AA) as a more accurate method to represent uncertainty can obtain a
much “tighter” interval solution compared with the interval method. Additionally, AA increases …

Analysis of mixed-signal systems with affine arithmetic

C Grimm, W Heupke… - IEEE Transactions on …, 2004 - ieeexplore.ieee.org
… We combined SystemC-AMS with the affine arithmetic library from [4], which provides an …
In order to combine affine arithmetic with SystemC, we include the affine arithmetic library which …

Refinement of mixed-signals systems with affine arithmetic

C Grimm, W Heupke… - … Design, Automation and …, 2004 - ieeexplore.ieee.org
… In order to combine affine arithmetic with SystemC, we include the affine library which
provides the class AAF, and instanciate signals and ports with this class as template parameter. …

Modified affine arithmetic based continuation power flow analysis for voltage stability assessment under uncertainty

BS Adusumilli, B Kalyan Kumar - IET Generation, Transmission …, 2018 - Wiley Online Library
… A self-validated range arithmetic method called affine arithmetic (AA) can be used for
uncertainty analysis that requires less computational cost and gives reasonably good accuracy, …

[HTML][HTML] An affine arithmetic-based multi-objective optimization method for energy storage systems operating in active distribution networks with uncertainties

S Wang, K Wang, F Teng, G Strbac, L Wu - Applied Energy, 2018 - Elsevier
… an affine arithmetic-based multi-objective optimization method for the optimal operation of
ESSs in active distribution networks with uncertainties. Affine arithmetic is … The affine arithmetic-…