[HTML][HTML] A modified affine arithmetic-based power flow analysis for radial distribution system with uncertainty

V Raj, BK Kumar - International Journal of Electrical Power & Energy …, 2019 - Elsevier
… terms in conventional affine arithmetic generates an extra … is introduced for the affine arithmetic
based distribution power flow … The proposed modified affine arithmetic based distribution …

Enhanced precision analysis for accuracy-aware bit-width optimization using affine arithmetic

S Vakili, JMP Langlois, G Bois - IEEE Transactions on …, 2013 - ieeexplore.ieee.org
… This method uses affine arithmetic, which is a well-known analytical technique, for both …
Range and error propagation via affine arithmetic (AA) is widely accepted as one of the best …

[HTML][HTML] Affine-arithmetic-based microgrid interval optimization considering uncertainty and battery energy storage system degradation

X Zhang, Y Son, T Cheong, S Choi - Energy, 2022 - Elsevier
… Renewable energy resources & loads were modeled based on affine arithmetic theory. … To
handle such problems, the paper proposes an affinearithmetic (AA)-based microgrid interval …

A novel affine arithmetic method with missed the triangular domain with uncertainties

X Ran, S Leng, K Liu - IEEE Transactions on Smart Grid, 2019 - ieeexplore.ieee.org
A novel affine arithmetic (AA) method with missed triangular domain (remaining area is
convex polygons) is proposed in this paper for solving interval power flow (IPF) problem with …

An affine-arithmetic-based consensus protocol for smart-grid computing in the presence of data uncertainties

V Loia, V Terzija, A Vaccaro… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
… To address this problem, this paper proposes a new consensus protocol based on the use
of Affine Arithmetic. The application of this reliable consensus protocol to decentralized smart …

[HTML][HTML] An affine arithmetic-model predictive control approach for optimal economic dispatch of combined heat and power microgrids

D Romero-Quete, JR Garcia - Applied energy, 2019 - Elsevier
This paper presents a novel approach for the optimal economic dispatch of Combined Heat
and Power (CHP) Microgrids (MGs), which incorporates an Affine Arithmetic-based …

YalAA: Yet Another Library for Affine Arithmetic.

S Kiel - Reliab. Comput., 2012 - lune.bourges.univ-orleans.fr
Affine arithmetic (AA) is a model for verified computations proposed by Comba and Stolfi [1].
In contrast to interval arithmetic it tracks first-order correlations in variables during the …

Under-approximations of computations in real numbers based on generalized affine arithmetic

E Goubault, S Putot - International Static Analysis Symposium, 2007 - Springer
… 2.3 Semantics of Non Affine Arithmetic Operations We use for the under-approximation of
the result of non affine arithmetic operations, an extension of the mean-value theorem to …

[HTML][HTML] An interval inverse method based on high dimensional model representation and affine arithmetic

J Liu, H Cai, C Jiang, X Han, Z Zhang - Applied Mathematical Modelling, 2018 - Elsevier
… inverse method is not suitable for nonlinear problems, and thus a new method for interval
inverse problem based on the high dimensional model representation and affine arithmetic is …

[HTML][HTML] Deriving power uncertainty intervals for low voltage grid state estimation using affine arithmetic

M Schmidt, P Schegner - Electric Power Systems Research, 2020 - Elsevier
… The proposed algorithm applies Affine Arithmetic - a self-validated numerical model - to the
state estimation … Affine Arithmetic is an extension to IA and applies more flexible polytopes. …