Reduced order modelling of SMIB Power System using Stability equation method and Firefly Algorithm

Author(s):  
D. K. Sambariya ◽  
G. Arvind



1980 ◽  
Vol 16 (9) ◽  
pp. 345 ◽  
Author(s):  
T.C. Chen ◽  
C.Y. Chang ◽  
K.W. Han


1993 ◽  
Vol 8 (3) ◽  
pp. 1020-1029 ◽  
Author(s):  
I. Kamwa ◽  
R. Grondin ◽  
E.J. Dickinson ◽  
S. Fortin


Author(s):  
Mahtab Uddin ◽  
M. Monir Uddin ◽  
M. A. Hakim Khan ◽  
M. Tanzim Hossain

We propose an efficient sparsity-preserving reduced-order modelling approach for index-1 descriptor systems extracted from large-scale power system models through two-sided projection techniques. The projectors are configured by utilizing Gramian based singular value decomposition (SVD) and Krylov subspace-based reduced-order modelling. The left projector is attained from the observability Gramian of the system by the low-rank alternating direction implicit (LR-ADI) technique and the right projector is attained by the iterative rational Krylov algorithm (IRKA). The classical LR-ADI technique is not suitable for solving Riccati equations and it demands high computation time for convergence. Besides, in most of the cases, reduced-order models achieved by the basic IRKA are not stable and the Riccati equations connected to them have no finite solution. Moreover, the conventional LR-ADI and IRKA approach not preserves the sparse form of the index-1 descriptor systems, which is an essential requirement for feasible simulations. To overcome those drawbacks, the fitting of LR-ADI and IRKA based projectors from left and right sides, respectively, desired reduced-order systems attained. So that, finite solution of low-rank Riccati equations, and corresponding feedback matrix can be executed. Using the mechanism of inverse projection, the Riccati-based optimal feedback matrix can be computed to stabilize the unstable power system models. The proposed approach will maintain minimized ℌ2 -norm of the error system for reduced-order models of the target models.







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