[HTML][HTML] Capacitor placement and sizing to minimize losses in a radial distribution network considering uncertainty using modified affine arithmetic division
… 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 …
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
arithmetic are implicit, making the semantics very economical. Also, affine arithmetic is close to …
arithmetic are implicit, making the semantics very economical. Also, affine arithmetic is close to …
[HTML][HTML] 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. …
… 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, …
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
affine arithmetic… powers as compared to existing affine arithmetic-based power flow analysis. …
affine arithmetic… powers as compared to existing affine arithmetic-based power flow analysis. …
[HTML][HTML] 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 …
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 …
64–65), while the enclosure of the mixed AA/IA is mostly tighter than the pure affine arithmetic …
[HTML][HTML] Affine arithmetic for efficient and reliable resolution of weather-based uncertainties in optimal power flow problems
… 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. …
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 …
by affine arithmetic decision diagrams. We study to which extent this approach fulfills the …
Robust optimization and affine arithmetic for microgrid scheduling under uncertainty
… 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 …
section III focuses on robust optimization while section IV gives details on the affine arithmetic …