Interval arithmetic in power flow analysis

• Published in: IEEE transactions on power systems Vol. 7; no. 3; pp. 1341 - 1349
• Main Authors: Wang, Z., Alvarado, F.L.
• Format: Journal Article
• Language: English
• 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

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...