[HTML][HTML] Handling uncertainties with affine arithmetic and probabilistic OPF for increased utilisation of overhead transmission lines

D Fang, M Zou, G Coletta, A Vaccaro… - Electric Power Systems …, 2019 - Elsevier
… ranges of uncertainties introduced by the variations of both wind energy sources and system
loads, this paper introduces a novel optimization model, which combines affine arithmetic (…

Reliable computation of equilibrium cascades with affine arithmetic

A Baharev, E Rév - AIChE journal, 2008 - Wiley Online Library
… A new linearization technique, based on affine arithmetic (AA26-29), has been proposed …
bottlenecks, and to get a better understanding of affine arithmetic, and in this way to construct a …

[HTML][HTML] Finding all real solutions of nonlinear systems of equations with discontinuities by a modified affine arithmetic

RP Soares - Computers & Chemical Engineering, 2013 - Elsevier
… A modified affine arithmetic is used in an interval Newton method plus generalized bisection…
and affine arithmetic In this section a brief introduction on interval and affine arithmetic is …

An affine arithmetic-based power flow algorithm considering the regional control of unscheduled power fluctuation

L Luo, W Gu, Y Wang, C Chen - Energies, 2017 - mdpi.com
… This letter proposes an affine arithmetic-based power flow algorithm, taking into … of DGRs
as well as the corresponding affine arithmetic-based modeling methods should be studied, …

[HTML][HTML] Affine Arithmetic-Based Reliable Estimation of Transition State Boundaries for Uncertain Markov Chains

A Pepiciello, F De Caro, A Vaccaro, S Djokic - Electric Power Systems …, 2022 - Elsevier
… In order to fill that research gap, this paper presents an approach using Affine Arithmetic (AA)
to represent the uncertainties affecting the state transition probabilities and to compute …

[HTML][HTML] Phase stability analysis using a modified affine arithmetic

PB Staudt, NSM Cardozo, RP Soares - Computers & chemical engineering, 2013 - Elsevier
… plus generalized bisection, based on a modified affine arithmetic, is used to reliably find
all … For all the cases tested, the proposed modified affine arithmetic method was superior to …

Analysis of limit cycles by means of affine arithmetic computer-aided tests

JA López, G Caffarena, C Carreras… - 2004 12th European …, 2004 - ieeexplore.ieee.org
… i) to show that affine arithmetic is specially well-suited for quantization analysis of digital
filters; (ii) to present a new tool based on multiple precision affine arithmetic elements that allows …

Unbalanced three-phase distribution system power flow with distributed generation using affine arithmetic

F Xue, W Xie, P Xie, Z Pan, J Ren, Y Nie… - … on Electric Utility …, 2015 - ieeexplore.ieee.org
… Based on the combination of interval and affine arithmetic, this paper establishes the
model of three-phase load with uncertain DGs, and proposes a threephase forward-backward …

[PDF][PDF] Verification of mixed-signal systems with affine arithmetic assertions

C Radojicic, C Grimm, F Schupfer… - VLSI Design, 2013 - downloads.hindawi.com
… Beside analog domain, Affine Arithmetic models can also be used … Affine Arithmetic is
combined with the assertion-based technology. Concretely, assertions based on Affine Arithmetic (…

[PDF][PDF] An algorithm to reduce the number of dummy variables in affine arithmetic

M Kashiwagi - SCAN conference, Novosibirsk, 2012 - conf.nsc.ru
Affine arithmetic has very high ability to get tight inclusion. We must introduce new
dummy variable εn+1 for each nonlinear operation. … Affine arithmetic has very high ability …