References in raw/Page_9.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 ...
  

• 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, ...
  

• 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 ...
  

• 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 ...
  

• 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 (...
  

• 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 ...