Affine arithmetic (AA) is a variant of interval arithmetic. In AA, it is difficult to realize the efficient
nonlinear binomial operations. The purpose of this paper is to propose a new dividing …

… To deal with these challenges, this paper proposes an affine arithmetic-… affine arithmetic-based
interval power flow model for IT&D networks. Section II-A summarizes the affine arithmetic…

… affine arithmetic was proposed in this paper. With input uncertain variables described as
intervals, the power flow output models based on extended affine arithmetic … affine arithmetic-…

… As such, this book addresses the solution of uncertain static and dynamic problems based
on affine arithmetic approaches. Affine arithmetic is one of the recent developments designed …

This paper shows how tight bounds for the range of a bivariate polynomial can be found
using a matrix method based on affine arithmetic. Then, this method is applied to drawing an …

… We study the performance of affine arithmetic as a replacement for … of affine arithmetic in
interval methods for ray casting implicit surfaces. As we argue in Section 5, affine arithmetic …

… This study proposes a new solution method based on linear approximation of the affine
arithmetic (AA) based PF model and optimal solution technique incorporated with boundary load …

… In this paper, an interval power flow method via multi-stage affine arithmetic is proposed to
address the impact of distributed generation output power and load uncertainty on the power …

An affine-based stochastic power flow problem is proposed in this paper. First, a novel
optimization-based model of the power flow problem using complementarity conditions to …

… To overcome these limitations, in this paper a more effective self-validated paradigm based
on affine arithmetic (AA) is proposed to solve the energy hub operation-scheduling problem […