… As a development of interval arithmetic, affine arithmetic can consider the correlation and
coupling between multiple variables in the operation process, while preserving the simplicity of …

Integration of distributed energy resources (DERs) affect system performance in multitude of
ways such as reliability, losses and voltage profile. Thus, increasing distributed energy …

… proposed solutions to this problem include using optimisation techniques to minimise the
word length while keeping the error within allowed bounds [4] and using affine arithmetic to …

Dispatch results depend on the forecast wind power in an electric power grid. High levels of
uncertainty in wind power lead to large forecast errors (FEs). Wind power FE creates an …

… [18] and affine arithmetic [11, 32, 3, 24]. Note that Quad and affine arithmetic are the only two
… compare different corner selection methods and with a strategy based on affine arithmetic. …

… Analytical methods based on interval arithmetic [1] or affine arithmetic [2] allow obtaining
the data bounds that guarantee the absence of overflows. Nevertheless, these approaches are …

… A similar analysis is presented in [29], by applying affine arithmetic in order to identify
critical spans and to find out the corresponding temperature. …

… A related approach is affine arithmetic [8]. Instead of representing error using a single
interval for each variable, affine arithmetic assigns an interval to each source of error, and …

… Analytical approaches also include methods on interval arithmetic, affine arithmetic, and …
Affine arithmetic provides a model that can describe correlations via the use of first-degree …

… (4) The interval arithmetic ignores the correlations among the interval variables, therefore
the affine arithmetic (AA) is applied to reduce the conservatism [18,19]. Since the initial …