Interval distribution power flow with relative-distance-measure arithmetic

V Ngo, W Wu - IEEE Transactions on Smart Grid, 2021 - ieeexplore.ieee.org
… Considering that the affine arithmetic based IPF methods may obtain unreliable or inaccurate
solutions, this paper proposes a RDM arithmetic based IPF solving by LP contractor. Since …

Affine Arithmetic における除算について

柏木雅英 - 電子情報通信学会技術研究報告. NLP, 非線形問題, 1999 - ci.nii.ac.jp
… of the affine arithmetic. Affine arithmetic is an extension of the interval arithmetic and it can
give narrower result than conventional interval arithmetic. In the affine arithmetic, operations …

Alternative Arithmetic

I Skalna - Parametric Interval Algebraic Systems, 2018 - Springer
… In this chapter, we present the main concepts of the affine and revised affine arithmetic. We
put the main focus on the latter, since it is our main tool for developing methods for solving …

[PDF][PDF] On the Theory Behind Interval and Affine Splitting with Extrapolation

MK Ragupathy, R Vemuri - SCAN'2008 El Paso, Texas September 29 …, 2008 - cs.utep.edu
… technique on affine arithmetic splitting as well. We find affine arithmetic splitting with …
We derive conditions under which affine arithmetic splitting with extrapolation gives better …

Control synthesis of nonlinear sampled switched systems using Euler's method

AL Coënt, F De Vuyst, L Chamoin… - arXiv preprint arXiv …, 2017 - arxiv.org
… In contrast, in this paper, we use ordinary arithmetic (instead of affine arithmetic) and a
basic Euler scheme (instead of Runge-Kutta schemes). We need neither estimate Lagrange …

Affine Arithmetic を用いた全解探索アルゴリズム

崎山貴行, 柏木雅英 - 電子情報通信学会技術研究報告. NC, ニューロ …, 1998 - ci.nii.ac.jp
… , affine arithmeticを使った手法を提案している.affine arithmeticは… , より狭い区間が得られる.affine
arithmeticを用いた場合, 従来の… , which is improved by using affine arithmetic. The feature of …

Bi-Level Multi-Objective Joint Planning of Distribution Networks Considering Uncertainties

S Wang, Y Dong, Q Zhao… - Journal of Modern Power …, 2021 - ieeexplore.ieee.org
… and affine arithmetic are applied to deal with uncertainties, and an affine arithmetic based
bi-… On this basis, a bi-level multi-objective solution methodology using affine arithmetic based …

Semi-symbolic modeling and simulation of circuits and systems

D Grabowski, C Grimm, E Barke - 2006 IEEE International …, 2006 - ieeexplore.ieee.org
… , the semi-symbolic simulation affine arithmetic. needs only a single … with Symbols analysis
using affine arithmetic. As results of … the equation system with affine arithmetic where p is the …

入力誤差を Affine Arithmetic で表現した交差判定問題

奥田尚伸, 安留誠吾, 都倉信樹 - 電子情報通信学会技術研究報告. COMP …, 1998 - cir.nii.ac.jp
… 本研究では, Affine Arithmetic を用いることによって, 誤差同士の相関関係のうち, 線形なもののみに
… 従来の方法と比較する事によって, 相関の考慮と Affine Arithmetic 特有の区間の過大評価が判定…

Evaluation of static analysis techniques for fixed-point precision optimization

J Cong, K Gururaj, B Liu, C Liu, Z Zhang… - 2009 17th IEEE …, 2009 - ieeexplore.ieee.org
… To use affine arithmetic for precision analysis, we can express both x and Ex as affine …
However, the terms xEy and yEx are not in affine form, and multiplication in affine arithmetic