Interval arithmetic in power flow analysis

The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic which takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the p...

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Bibliographic Details
Published inIEEE transactions on power systems Vol. 7; no. 3; pp. 1341 - 1349
Main Authors Wang, Z., Alvarado, F.L.
Format Journal Article
LanguageEnglish
Published United States IEEE 01.08.1992
Subjects
240100 - Power Systems- (1990-)
990200 - Mathematics & Computers
Arithmetic
COMPUTER CODES
DATA
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INFORMATION
ITERATIVE METHODS
Load flow
Load flow analysis
MATHEMATICS
MODIFICATIONS
Monte Carlo methods
Nonlinear equations
NONLINEAR PROBLEMS
Object oriented modeling
Power system modeling
POWER SYSTEMS
POWER TRANSMISSION AND DISTRIBUTION
Probability distribution
Stochastic processes
Uncertainty
UNCERTAINTY PRINCIPLE
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Summary:The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic which takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the problem: all possible solutions are included within the bounds given by interval arithmetic. Results are compared with those obtainable by Monte Carlo simulations and by the use of stochastic power flows. Object-oriented programming techniques make it possible to use interval arithmetic with minimal modifications to existing software. However, to reduce the conservatism inherent in all interval arithmetic computations, an iterative method used to obtain the hull of the solution set is described.< >
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ISSN:0885-8950
1558-0679
DOI:10.1109/59.207353