References in raw/Page_4.html

• A modified affine arithmetic-based power flow analysis for radial distribution system with uncertainty
  V Raj, BK Kumar - International Journal of Electrical Power & Energy ..., 2019 - Elsevier
  ... terms in conventional affine arithmetic generates an extra ... is introduced for the affine arithmetic based distribution power flow ... The proposed modified affine arithmetic based distribution ...
  

• Enhanced precision analysis for accuracy-aware bit-width optimization using affine arithmetic
  S Vakili, JMP Langlois, G Bois - IEEE Transactions on ..., 2013 - ieeexplore.ieee.org
  ... This method uses affine arithmetic, which is a well-known analytical technique, for both ... Range and error propagation via affine arithmetic (AA) is widely accepted as one of the best ...
  

• Affine-arithmetic-based microgrid interval optimization considering uncertainty and battery energy storage system degradation
  X Zhang, Y Son, T Cheong, S Choi - Energy, 2022 - Elsevier
  ... Renewable energy resources & loads were modeled based on affine arithmetic theory. ... To handle such problems, the paper proposes an affine–arithmetic (AA)-based microgrid interval ...
  

• A novel affine arithmetic method with missed the triangular domain with uncertainties
  X Ran, S Leng, K Liu - IEEE Transactions on Smart Grid, 2019 - ieeexplore.ieee.org
  A novel affine arithmetic (AA) method with missed triangular domain (remaining area is convex polygons) is proposed in this paper for solving interval power flow (IPF) problem with ...
  

• An affine-arithmetic-based consensus protocol for smart-grid computing in the presence of data uncertainties
  V Loia, V Terzija, A Vaccaro... - IEEE Transactions on ..., 2014 - ieeexplore.ieee.org
  ... To address this problem, this paper proposes a new consensus protocol based on the use of Affine Arithmetic. The application of this reliable consensus protocol to decentralized smart ...
  

• An affine arithmetic-model predictive control approach for optimal economic dispatch of combined heat and power microgrids
  D Romero-Quete, JR Garcia - Applied energy, 2019 - Elsevier
  This paper presents a novel approach for the optimal economic dispatch of Combined Heat and Power (CHP) Microgrids (MGs), which incorporates an Affine Arithmetic-based ...
  

• YalAA: Yet Another Library for Affine Arithmetic.
  S Kiel - Reliab. Comput., 2012 - lune.bourges.univ-orleans.fr
  Affine arithmetic (AA) is a model for verified computations proposed by Comba and Stolfi [1]. In contrast to interval arithmetic it tracks first-order correlations in variables during the ...
  

• Under-approximations of computations in real numbers based on generalized affine arithmetic
  E Goubault, S Putot - International Static Analysis Symposium, 2007 - Springer
  ... 2.3 Semantics of Non Affine Arithmetic Operations We use for the under-approximation of the result of non affine arithmetic operations, an extension of the mean-value theorem to ...
  

• An interval inverse method based on high dimensional model representation and affine arithmetic
  J Liu, H Cai, C Jiang, X Han, Z Zhang - Applied Mathematical Modelling, 2018 - Elsevier
  ... inverse method is not suitable for nonlinear problems, and thus a new method for interval inverse problem based on the high dimensional model representation and affine arithmetic is ...
  

• Deriving power uncertainty intervals for low voltage grid state estimation using affine arithmetic
  M Schmidt, P Schegner - Electric Power Systems Research, 2020 - Elsevier
  ... The proposed algorithm applies Affine Arithmetic - a self-validated numerical model - to the state estimation ... Affine Arithmetic is an extension to IA and applies more flexible polytopes. ...