Optimal allocation of ESSs for mitigating fluctuation in active distribution network

S Wang, K Wang, F Teng, G Strbac, L Wu - Energy Procedia, 2017 - Elsevier
… The complex affine arithmetic based distribution power flow is used to ensure that
constraints on power flow limits, voltage limits, and ESS operational limits are satisfied. The …

[HTML][HTML] An efficient two stage stochastic optimal energy and reserve management in a microgrid

V Mohan, JG Singh, W Ongsakul - Applied energy, 2015 - Elsevier
… A stochastic perturbed optimal power flow (OPF) based on affine arithmetic (AA) and stochastic
weight tradeoff particle swarm optimization (SWT-PSO) is proposed and investigated on …

[HTML][HTML] Midpoint-radius interval-based method to deal with uncertainty in power flow analysis

M Marin, F Milano, D Defour - Electric Power Systems Research, 2017 - Elsevier
… However, we expect our method to be faster than the affine arithmetic approach, for the …
Finally, the affine arithmetic method and the one proposed in this paper are comparable, with our …

Automatic Approximation for 1-Dimensional Feedback-Loop Computations: a PID Benchmark

Y Wu, Y Zhang, A Hamadouche… - 2022 Sensor Signal …, 2022 - ieeexplore.ieee.org
… Using affine arithmetic through the YalAA library, we generate both the affine form of the …
nine benchmarks, marked as c1-c9, using affine arithmetic. Using AA to execute the PID control …

[PDF][PDF] An Interval Branch-and-Bound Algorithm based on the General Quadratic Form

F Messine, A Touhami - INTERNATIONAL WORKSHOP ON …, 2005 - researchgate.net
… Abstract In this paper, an extension of affine arithmetic introduced by Stolfi et al.[1–5] is
proposed. It is based on a general quadratic form which leads to most efficient computations of …

Microgrid energy management combining sensitivities, interval and probabilistic uncertainties of renewable generation and loads

V Mohan, R Suresh, JG Singh… - IEEE Journal on …, 2017 - ieeexplore.ieee.org
Affine arithmetic (AA) is used to model the interval uncertainties and sensitivities in nodal
power injections. However, all the elements in the interval solutions of AA-optimal power flow …

Statistical noise margin estimation for sub-threshold combinational circuits

Y Pu, JP de Gyvez, H Corporaal… - 2008 Asia and South …, 2008 - ieeexplore.ieee.org
… To totally eliminate using Monte-Carlo simulations, we introduce the Affine Arithmetic model
for efficient computation and propagation of noise margins, as will be discussed in the next …

[PDF][PDF] Interval-based analysis and word-length optimization of non-linear systems with control-flow structures

JA Lopez, E Sedano, C Carreras… - The 7th International …, 2016 - sci-en-tech.com
… The first of such extensions is Affine Arithmetic (AA). AA has … To overcome this fact, Modified
Affine Arithmetic (MAA) has been … Affine arithmetic is capable of capturing the correlation …

Verified spatial subdivision of implicit objects using implicit linear interval estimations

S Kiel - International Conference on Curves and Surfaces, 2010 - Springer
… than common uniform subdivision schemes using interval or affine arithmetic for enclosure.
… Instead of classic IA or affine arithmetic, we use ILIE for object enclosure. But we also exploit …

A contractor based on convex interval taylor

I Araya, G Trombettoni, B Neveu - … on Integration of Artificial Intelligence (AI …, 2012 - Springer
… Compared to affine arithmetic, preliminary experiments suggest that our convex interval …
reliable convexification method has the potential to complement affine arithmetic and Quad. …