References in raw/Page_32.html

• 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 ...
  

• 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 ...
  

• 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 ...
  

• 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 ...
  

• 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
  

• 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. ...