Capacitor placement and sizing to minimize losses in a radial distribution network considering uncertainty using modified affine arithmetic division
BS Adusumilli, V Raj, VB Adusumilli - Sustainable Energy, Grids and ..., 2021 - Elsevier
... In literature, affine arithmetic (AA) is one of the tools used for incorporating uncertainty in power system analysis. However, conventional division operation in AA gives rise to extra noise ...
Perturbed affine arithmetic for invariant computation in numerical program analysis
E Goubault, S Putot - arXiv preprint arXiv:0807.2961, 2008 - arxiv.org
... It relied on a more accurate alternative to interval arithmetic: affine arithmetic, the ... in affine
Tradeoff between approximation accuracy and complexity for range analysis using affine arithmetic
L Zhang, Y Zhang, W Zhou - Journal of Signal Processing Systems, 2010 - Springer
... range analysis are generally based on Affine Arithmetic, which presents two approximation ... Affine Arithmetic. Case studies and experiments are carried out to demonstrate its efficiency. ...
Interval uncertain optimization for interior ballistics based on Chebyshev surrogate model and affine arithmetic
F Xu, G Yang, L Wang, Q Sun - Engineering Optimization, 2021 - Taylor & Francis
This article proposes an interior ballistic interval optimization method with the consideration of parameter uncertainty. Interior ballistic parameters such as charge mass, web thickness, ...
Modified affine arithmetic-based power flow analysis with uncertainty
BS Adusumilli, V Raj, KK Boddeti - Electric Power Components and ..., 2018 - Taylor & Francis
... affine arithmetic-based power flow analysis was introduced. In the present work, a modified
Fast reliable interrogation of procedurally defined implicit surfaces using extended revised affine arithmetic
O Fryazinov, A Pasko, P Comninos - Computers & Graphics, 2010 - Elsevier
... of affine arithmetic called revised affine arithmetic. We extend the range of functions presented in revised affine arithmetic ... based on extended revised affine arithmetic with other reliable ...
Computation of an extractive distillation column with affine arithmetic
A Baharev, T Achterberg, E Rév - AIChE journal, 2009 - Wiley Online Library
... /IA and the pure affine arithmetic is that ... affine arithmetic with min-range approximation (pp. 64–65), while the enclosure of the mixed AA/IA is mostly tighter than the pure affine arithmetic ...
Affine arithmetic for efficient and reliable resolution of weather-based uncertainties in optimal power flow problems
G Coletta, A Vaccaro, D Villacci, D Fang... - International Journal of ..., 2019 - Elsevier
... Armed with such a vision, this paper advocates the role of Affine Arithmetic in reliable solving weather-based OPF problems in the presence of multiple and correlated uncertainties. ...
Hierarchical verification of AMS systems with affine arithmetic decision diagrams
C Zivkovic, C Grimm, M Olbrich... - IEEE Transactions on ..., 2018 - ieeexplore.ieee.org
... To transport verification results across hierarchies, we represent parameters and properties by affine arithmetic decision diagrams. We study to which extent this approach fulfills the ...
Robust optimization and affine arithmetic for microgrid scheduling under uncertainty
A Vaccaro, M Petrelli, A Berizzi - 2019 IEEE International ..., 2019 - ieeexplore.ieee.org
... the structure of the deterministic algorithm, the objective function and the constraints; section III focuses on robust optimization while section IV gives details on the affine arithmetic ...
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