Reduced Model Based Feedback Stabilization of Large-scale Sparse Power System Model

Interpolatory Projection Techniques for H2 Optimal Structure-Preserving Model Order Reduction of Second-Order Systems

“…Inserting (21) and (22) in (23), after simplification we have the following system of matrix equations…”

“…The H 2 norm of the full model needs to be estimated once using the corresponding Gramians, and that is infeasible for a large-scale system by solving corresponding Lyapunov equations using the direct solvers. In this www.astesj.com 718 case, we can use the low-rank ADI based technique provided in Algorithm 1 of [23] or rational Krylov subspace method provided in Algorithm 2 of [24] to find the low-rank factors Z p and Z q of the Gramians P 11 = Z p Z T p and Q 11 = Z q Z T q defined in the first equations of (24) and (25), respectively. These approaches provide us feasible ways to find the H 2 norm of the full model.…”