References in raw/Page_5.html

• A dividing method utilizing the best multiplication in affine arithmetic
  S Miyajima, M Kashiwagi - IEICE Electronics Express, 2004 - jstage.jst.go.jp
  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 ...
  

• Affine arithmetic-based coordinated interval power flow of integrated transmission and distribution networks
  K Tang, S Dong, C Zhu, Y Song - IEEE Transactions on Smart ..., 2020 - ieeexplore.ieee.org
  ... 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...
  

• Extended affine arithmetic-based global sensitivity analysis for power flow with uncertainties
  X Liao, K Liu, J Le, S Zhu, Q Huai, B Li... - International Journal of ..., 2020 - Elsevier
  ... 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-...
  

• Affine arithmetic based solution of uncertain static and dynamic problems
  S Chakraverty, S Rout - Synthesis Lectures on Mathematics ..., 2020 - morganclaypool.com
  ... 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 ...
  

• Affine arithmetic in matrix form for polynomial evaluation and algebraic curve drawing
  HH Shou, R Martin, I Voiculescu... - Progress in Natural ..., 2002 - researchportal.bath.ac.uk
  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 ...
  

• Interval methods for ray casting implicit surfaces with affine arithmetic
  A De Cusatis, LH De Figueiredo... - ... on Computer Graphics ..., 1999 - ieeexplore.ieee.org
  ... 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 ...
  

• Improved affine arithmetic based optimisation model for interval power flow analysis
  C Xu, W Gu, F Gao, X Song, X Meng... - IET Generation ..., 2016 - Wiley Online Library
  ... This study proposes a new solution method based on linear approximation of the affine
  

• Interval power flow analysis via multi-stage affine arithmetic for unbalanced distribution network
  Y Wang, Z Wu, X Dou, M Hu, Y Xu - Electric Power Systems Research, 2017 - Elsevier
  ... 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 arithmetic method to solve the stochastic power flow problem based on a mixed complementarity formulation
  M Pirnia, CA Cañizares... - 2012 IEEE Power and ..., 2012 - ieeexplore.ieee.org
  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 ...
  

• Affine arithmetic-based methodology for energy hub operation-scheduling in the presence of data uncertainty
  A Vaccaro, C Pisani, AF Zobaa - IET Generation, Transmission ..., 2015 - Wiley Online Library
  ... 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 [...