Affine arithmetic based methods for voltage and transient stability assessment of power systems with intermittent generation sources

J Munoz, C Canizares, K Bhattacharya… - … Bulk Power System …, 2013 - ieeexplore.ieee.org
… This paper presents novel methods based on Affine Arithmetic (AA) for voltage and transient
stability assessment of power systems, considering uncertainties of power injections from …

Interval power flow analysis considering interval output of wind farms through affine arithmetic and optimizing-scenarios method

W Cheng, R Cheng, J Shi, C Zhang, G Sun, D Hua - Energies, 2018 - mdpi.com
… To solve the proposed model, the affine arithmetic-based method and optimizing-scenarios …
as affine arithmetic forms, and constructs optimization models to contract the affine arithmetic

Affine arithmetic‐based power flow algorithm considering uncertainty for hybrid AC/DC grids incorporating VSCs

F Lu, P Du, H Liu, F Liu - IET Generation, Transmission & …, 2019 - Wiley Online Library
… Here, an affine arithmetic (AA)‐based uncertainty power flow algorithm for hybrid AC/DC
grids incorporating voltage source converters (VSCs) is presented. VSC station and DC grid …

Modeling uncertainty in nonlinear analog systems with affine arithmetic

W Heupke, C Grimm, K Waldschmidt - Applications of Specification and …, 2006 - Springer
… (2004a), we use affine arithmetic for semisymbolic transient … affine arithmetic that efficiently
handles these approximation terms. Section 2 gives a brief introduction to affine arithmetic

[HTML][HTML] Robust visualization of strange attractors using affine arithmetic

A Paiva, LH de Figueiredo, J Stolfi - Computers & Graphics, 2006 - Elsevier
… We propose the use of affine arithmetic in cell-mapping methods for the robust visualization of
strange attractors and show that the resulting cellular approximations converge faster than those …

Improved Affine Arithmetic-Based Power Flow Computation for Distribution Systems Considering Uncertainties

S Cheng, X Zuo, K Yang, Z Wei… - IEEE Systems Journal, 2022 - ieeexplore.ieee.org
… Although affine arithmetic (AA) is popularly and effectively used for uncertain power flow
analysis, its nonlinear operation increases the conservatism of the identified solutions. Based …

Extended framework for system simulation with affine arithmetic

M Rathmair, F Schupfer, C Radojicic… - Proceeding of the …, 2012 - ieeexplore.ieee.org
… described with the help of affine arithmetic noise symbols in the … For a nonlinear composition
of two affine arithmetic forms an … framework structure for affine arithmetic system simulations …

A non-iterative affine arithmetic methodology for interval power flow analysis of transmission network

T Ding, R Bo, Q Guo, H Sun, W Wu, B Zhang - 2013 - scholarsmine.mst.edu
Affine arithmetic can effectively overcome the correlation and therefore is adopted in this
paper. In order to improve the computational efficiency, non-iterative method was proposed, …

[HTML][HTML] Affine arithmetic

J Stolfi, LH de Figueiredo, R van Iwaarden… - Self-Validated …, 1997 - ic.unicamp.br
Affine arithmetic is somewhat similar to Hansen's generalized … Affine arithmetic may also
be compared to the ellipsoid … In general, the internal approximation errors of affine arithmetic

Interval and Affine Arithmetic for Surface Location of Power—and Bernstein—Form Polynomials

I Voiculescu, J Berchtold, A Bowyer, RR Martin… - The mathematics of …, 2000 - Springer
This paper describes a problem of interest in CSG modelling, namely the location of implicit
polynomial surfaces in space. It is common for surfaces defined by implicits to be located …