@inproceedings{abe-pas-mud-16-aa-powflow, author = {Abebe, Yoseph Mekonnen and Pasumarthi, Mallikarjuna Rao and Mudavath, Gopichand Naik}, title = {Load Flow Analysis of Uncertain Power System Through Affine Arithmetic}, booktitle = {Microelectronics, Electromagnetics and Telecommunications - Proceedings of ICMEET 2015}, series = {LNEE}, number = {372}, year = 2016, publisher = {Springer}, address = {New Delhi}, pages = {217--231}, doi = {10.1007/978-81-322-2728-1_20}, isbn = {978-81-322-2728-1}, comment = {complex numbers}, abstract = {On this paper a novel load flow analysis using complex affine arithmetic (AA) based on Gauss-Seidel method for uncertain system is proposed. The Gauss-Seidel algorithm is used to find the uncertainty in each bus, which is the partial deviation value of the buses. The proposed algorithm is applied on an IEEE-14, 30 and 57 bus test systems. For comparison purpose a probabilistic load flow analysis based on Monte Carlo method is used. The proposed method is tested for different uncertainty level and in all the test cases AA based method is faster in convergence and gives slightly conservative bound than the probabilistic Monte Carlo approach.} }