Power System Dynamic Simulations Using a Parallel Two-Level Schur-Complement Decomposition

Supplemental Material for “ Dynamic Simulation of Large - scale Power Systems Using a Parallel Schur - complement - based Decomposition Method

DDMs were originally used due to the lack of memory in computing systems: data needed for smaller portions of a problem could fit entirely to the memory while for the whole problem they could not. They lost their appeal as larger and cheaper memory became available, only to resurface in the era of parallel computing. These methods are inherently suited for execution on parallel architectures an...

Algebraic Two-Level Preconditioners for the Schur Complement Method

The solution of elliptic problems is challenging on parallel distributed memory computers as their Green's functions are global. To address this issue, we present a set of preconditioners for the Schur complement domain decomposition method. They implement a global coupling mechanism, through coarse space components, similar to the one proposed in 3]. The deeni-tion of the coarse space componen...

A preconditioner for the Schur complement domain decomposition method

System-level Dynamic Power Management

We introduce the design methodology known as dynamic power management (DPM), targtting the maximization of power efficiency under performance constroints for electronic s,stemt. We first describe the basic motivations for implementing DPM, then we surve'l several power management ,chemes. Finally, we provide guidelines to assessing the potential impact of a DPM scheme for a given target system.

The condition number of the Schur complement in domain decomposition

In the nonoverlapping approach to domain decomposition (cf. [10], [21] and the references therein) the nite element equation for an elliptic boundary value problem is reduced, after parallel subdomain solves, to its Schur complement which involves only the nodal variables (degrees of freedom) on the subdomain boundaries. The condition number of the Schur complement has been investigated for sec...