Interval arithmetic in current injection power flow analysis

► We model power flow under uncertainties. ► Current injection power flow and interval arithmetic are used. ► Monte Carlo simulation validates the proposed method. ► The proposed method operates very well even for large test systems. This paper incorporates interval arithmetic into current injection...

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Bibliographic Details
Published in:International journal of electrical power & energy systems 2012-12, Vol.43 (1), p.1106-1113
Main Authors: Pereira, L.E.S., da Costa, V.M., Rosa, A.L.S.
Format: Article
Language:English
Subjects:
Applied sciences
Current injection power flow
Data uncertainty
Electrical engineering. Electrical power engineering
Electrical power engineering
Electrical power systems
Exact sciences and technology
Interval arithmetic
Krawczyk algorithm
Miscellaneous
Operation. Load control. Reliability
Power networks and lines
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Description
Summary:► We model power flow under uncertainties. ► Current injection power flow and interval arithmetic are used. ► Monte Carlo simulation validates the proposed method. ► The proposed method operates very well even for large test systems. This paper incorporates interval arithmetic into current injection method to solve power flow problem under both load and line data uncertainty. In this new methodology, 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 test systems and a South – southeastern Brazilian network are used.
ISSN:0142-0615
1879-3517
DOI:10.1016/j.ijepes.2012.05.034