… Test results show that modified affine arithmetic is not only more accurate but also much
faster than standard affine arithmetic. We thus suggest that modified affine arithmetic is the …

… In this article, we define a new arithmetic that combines affine arithmetic to propagate the
linear relations between random variables and p-box arithmetic to overapproximate the …

An affine arithmetic (AA) method is proposed in this paper to solve the optimal power flow (OPF)
problem with uncertain generation sources. In the AA-based OPF problem, all the state …

This paper presents a mathematical formulation of an energy management system (EMS)
for isolated microgrids, which addresses uncertainty using the affine arithmetic (AA) method. …

… We present a novel approach based on affine arithmetic, a recent development in range …
Based on the affine arithmetic (AA) model in range arithmetic, we present our AA-based …

… This paper proposes a complex affine arithmetic based unbalanced three-phase power
flow solution to explore the impacts of DG uncertainties on distribution systems. Based on the …

… It is based on the joint use of genetic algorithms (GAs) and affine arithmetic (AA). The GAs
are … , it is shown that the problem can be afforded more efficiently using the Affine Arithmetic. …

… Concepts of affine arithmetic In affine arithmetic, a quantity x is represented by an expression
of the form(1) x ˆ = x 0 + x 1 ε 1 + ⋯ + x n ε n which is an affine expression of noise symbols …

This paper proposes a unified framework based on affine arithmetic for computing reliable
enclosures of uncertain power flow (PF) and optimal power flow (OPF) solutions. The main …

… Ray tracing algorithms employing interval arithmetic (IA) or affine arithmetic (AA) for root-…
, as well as an inclusion-preserving reduced affine arithmetic (RAA) for faster ray-surface …