TY - JOUR
T1 - Iterative solver techniques in fast dynamic calculations of power systems
AU - Kulkarni, A. Y.
AU - Pai, M. A.
AU - Sauer, P. W.
N1 - Funding Information:
The authors acknowledge the research support of the National Science Foundation grant NSF ECS 95-22547 and the Grainger Foundation at the University of Illinois.
PY - 2001/3/1
Y1 - 2001/3/1
N2 - In this paper, iterative solver techniques belonging to the family of conjugate-gradient methods for solving the system of linear equations, Ax = b, are discussed. Specifically, we consider the Bi-Conjugate Gradient (BCG) Method, CGS Method, CGSTAB Method and the Generalized Minimal Residual Method (GMRES), which can handle unsymmetric matrices. In transient stability simulations, sparse matrices occur during the solution process of the differential-algebraic equations (DAEs) by the simultaneous implicit (SI) method. This paper investigates the effects of a new preconditioning technique, the dishonest preconditioner, on these methods. All of these methods are inherently vectorizable/parallelizable.
AB - In this paper, iterative solver techniques belonging to the family of conjugate-gradient methods for solving the system of linear equations, Ax = b, are discussed. Specifically, we consider the Bi-Conjugate Gradient (BCG) Method, CGS Method, CGSTAB Method and the Generalized Minimal Residual Method (GMRES), which can handle unsymmetric matrices. In transient stability simulations, sparse matrices occur during the solution process of the differential-algebraic equations (DAEs) by the simultaneous implicit (SI) method. This paper investigates the effects of a new preconditioning technique, the dishonest preconditioner, on these methods. All of these methods are inherently vectorizable/parallelizable.
UR - http://www.scopus.com/inward/record.url?scp=0035283852&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035283852&partnerID=8YFLogxK
U2 - 10.1016/S0142-0615(00)00066-1
DO - 10.1016/S0142-0615(00)00066-1
M3 - Article
AN - SCOPUS:0035283852
SN - 0142-0615
VL - 23
SP - 237
EP - 244
JO - International Journal of Electrical Power and Energy Systems
JF - International Journal of Electrical Power and Energy Systems
IS - 3
ER -