Title :
A test for the existence of solutions in ill-conditioned power systems
Author :
Ebrahimpour, M.R. ; Dorsey, John F.
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
A complete analytical study of the invariant manifolds for the Newton-Raphson solution of the power flow equations is presented. Based on these results, a new test is developed to reduce the computational effort of finding the solutions to ill-conditioned power systems. A detailed study of some well-known test systems clearly indicates that the new method is at least 50% more efficient than the conventional Newton-Raphson method in finding a pair of close solutions in ill-conditioned power systems
Keywords :
load flow; power systems; Newton-Raphson solution; ill-conditioned power systems; invariant manifolds; power flow equations; Iterative algorithms; Iterative methods; Load flow; Nonlinear equations; Power engineering computing; Power system analysis computing; Power systems; System testing; Transforms; Voltage;
Conference_Titel :
Southeastcon '91., IEEE Proceedings of
Conference_Location :
Williamsburg, VA
Print_ISBN :
0-7803-0033-5
DOI :
10.1109/SECON.1991.147793