… Moreover, the power loss is introduced into power balance constraints, and the extended
affine arithmetic (EAA) is employed to evaluate the uncertainty of power loss caused by the …

… with uncertainties, especially for the satisfaction of operating constraints in an uncertain
environment, an interval DOPF (I-DOPF) model is derived in this study, by using affine arithmetic …

… x ,r x ,e x ) relying on a zonotopic weakly-relational abstract domain for the analysis of
real value variables, based on ideas from affine arithmetic [2]: these domains that we developed …

… Affine arithmetic25, 26 was introduced to keep track of … The main disadvantage of affine
arithmetic is that each … There were several attempts to improve classical affine arithmetic.27, 28 …

… In section III is explained in details the methodology which is used for this analysis especially
affine arithmetic for making calculations with interval parameters written in general form. …

… But in affine arithmetic, the use of a sum of coefficients is only a means for getting more
precision in the dynamic computation of bounds for the real value of a variable, and these …

… / Computation of bounds, to inhibit intervals by anlyse intervals or affine arithmetic (test A2)
3 / The derivative and its bound, to inhibit intervals by anlyse intervals or affine arithmetic.(test …

… Several systems have been proposed for the analysis of floating point arithmetic including
Interval Arithmetic, Affine Arithmetic and Monte Carlo Arithmetic. While these systems have …

… file and lane functional units to execute affine arithmetic (but without support for expanding
… We describe three novel mechanisms to efficiently execute: (1) affine arithmetic with support …

… As a counterpart, affine Arithmetic (AA) [5] solves the overestimation problem and has proven
to provide the fastest results for linear systems. However, it makes an inadequate treatment …