Power system stabilizers design using optimal reduced order models. II. Design

1988 ◽  
Vol 3 (4) ◽  
pp. 1676-1684 ◽  
Author(s):  
A. Feliachi ◽  
X. Zhang ◽  
C.S. Sims
Keyword(s):  
Power System ◽  
Reduced Order Models ◽  
Power System Stabilizers ◽  
Reduced Order

scholarly journals Reduced-Order Models for Representing Converters in Power System Studies

2018 ◽  
Vol 33 (4) ◽  
pp. 3644-3654 ◽  
Author(s):  
Yunjie Gu ◽  
Nathaniel Bottrell ◽  
Timothy C. Green
Keyword(s):  
Power System ◽  
Reduced Order Models ◽  
Reduced Order

scholarly journals SVD-Krylov based Sparsity-preserving Techniques for Riccati-based Feedback Stabilization of Unstable Power System Models

2021 ◽  
Author(s):  
Mahtab Uddin ◽  
M. Monir Uddin ◽  
M. A. Hakim Khan ◽  
M. Tanzim Hossain
Keyword(s):  
Power System ◽  
Riccati Equations ◽  
Descriptor Systems ◽  
Low Rank ◽  
Reduced Order Models ◽  
Reduced Order ◽  
System Models ◽  
Reduced Order Modelling ◽  
Feedback Matrix ◽  
Finite Solution

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.

Sign in / Sign up

Export Citation Format

Share Document