Interval analysis applied to the maximum loading point of electric power systems considering load data uncertainties

• Published in: International journal of electrical power & energy systems Vol. 54; pp. 334 - 340
• Main Authors: Pereira, L.E.S., da Costa, V.M.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.01.2014; Elsevier
• Subjects: Applied sciences; Brazil; Computer simulation; Data uncertainty; Disturbances. Regulation. Protection; Dynamical systems; Electric power systems; Electrical engineering. Electrical power engineering; Electrical power engineering; Exact sciences and technology; Interval arithmetic; Intervals; Krawczyk algorithm; Mathematical analysis; Matlab; Maximum loading point; Methodology; Miscellaneous; Operation. Load control. Reliability; Power networks and lines; Uncertainty; Voltage stability; South America; Brazil; America; Voltage stability; Maximum loading point; Electric power systems; Krawczyk algorithm; Data uncertainty; Interval arithmetic; Monte Carlo method; MATLAB software; Power system stability; Non linear system; Algorithm; Implementation; Load flow; Bus system; Non linear equation; Electrical network; Power flow; Electric power; Power system load; Numerical simulation; IEEE standards; Comparative study
• ISSN: 0142-0615; 1879-3517
• DOI: 10.1016/j.ijepes.2013.07.026

•A new power flow modeling under load data uncertainties is presented.•Interval power flow solutions are calculated at maximum loading point of electric power systems.•This new modeling is a valuable tool for voltage stability assessment.•Monte Carlo simulation validates the proposed method.•This new interval power flow modeling operates very well even for large test systems. This paper proposes a simple and efficient power flow method to calculate, in an interval manner, the main variables corresponding to the maximum loading point, under load data uncertainties. The resulting interval nonlinear system of equations is solved using Krawczyk method. The proposed methodology is implemented in the Matlab environment using the Intlab toolbox. Results are compared with those obtainable by Monte Carlo simulations. IEEE 30 bus system and a South-southeastern Brazilian network are used to validate the proposed methodology.