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 …
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 …
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 …
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 …
handles these approximation terms. Section 2 gives a brief introduction to affine arithmetic …
[HTML][HTML] Robust visualization of strange attractors using affine arithmetic
… 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 …
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 …
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 …
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
… 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, …
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 …
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
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 …
polynomial surfaces in space. It is common for surfaces defined by implicits to be located …