Bufo microscaphus

Number of Pages: 3Integrative BiologyGeological Science

PGNME: A Domain Decomposition Algorithm for Distributed Power System Dynamic Simulation on High Performance Computing Platforms

Dynamic simulation of a large-scale electric power system involves solving a large number of differential algebraic equations (DAEs) every simulation time-step. With the ever-growing size and complexity of power grid, dynamic simulation becomes more and more time-consuming and computationally difficult using conventional sequential simulation techniques. This thesis presents a fully distributed approach intended for implementation on High Performance Computer (HPC) clusters. A novel, relaxation-based domain decomposition algorithm known as Parallel-General-Norton with Multiple-port Equivalent (PGNME) is proposed as the core technique of a two-stage decomposition approach to divide the overall dynamic simulation problem into a set of sub problems that can be solved concurrently. While the convergence property has traditionally been a concern for relaxation-based decomposition, an estimation mechanism based on multiple-port network equivalent is adopted as the preconditioner to enhance the convergence of the proposed algorithm. The algorithm is presented in detail and validated both in terms of accuracy and capabilit

Waring Rank and Apolarity of Some Symmetric Polynomials

We examine lower bounds for the Waring rank for certain types of symmetric polynomials. The first are Schur polynomials, a symmetric polynomial indexed by integer partitions. We prove some results about the Waring rank of certain types of Schur polynomials, based on their integer partition. We also make some observations about the Waring rank in general for Schur polynomials, based on the shape of their Semistandard Young Tableaux. The second type of polynomials we refer to as a Power of a Fermat-type polynomial, or a PFT polynomial. This is a Fermat type (or power sum) polynomial over n variables with degree p taken to some power k. We prove this polynomial is not compressed when p \u3e k and k \u3e 2, and conjecture the result is true in general for all p. The proof takes the following form: the degree k + 1 annihilator ideal is examined and identified, and form of Rank-Nullity is applied, which provides a formula for the size of the degree k + 1 subspace of non-zero partial derivatives for that polynomial. Then we verify that this subspace is linearly independent, which gives us the dimension of the space of Derivs, and thus a lower bound for the Waring rank of that polynomial

PGNME: A Domain Decomposition Algorithm for Distributed Power System Dynamic Simulation on High Performance Computing Platforms

Dynamic simulation of a large-scale electric power system involves solving a large number of differential algebraic equations (DAEs) every simulation time-step. With the ever-growing size and complexity of power grid, dynamic simulation becomes more and more time-consuming and computationally difficult using conventional sequential simulation techniques. This thesis presents a fully distributed approach intended for implementation on High Performance Computer (HPC) clusters. A novel, relaxation-based domain decomposition algorithm known as Parallel-General-Norton with Multiple-port Equivalent (PGNME) is proposed as the core technique of a two-stage decomposition approach to divide the overall dynamic simulation problem into a set of sub problems that can be solved concurrently. While the convergence property has traditionally been a concern for relaxation-based decomposition, an estimation mechanism based on multiple-port network equivalent is adopted as the preconditioner to enhance the convergence of the proposed algorithm. The algorithm is presented in detail and validated both in terms of accuracy and capabilit

A Comparative Study of the Definition of Role of School Library/Media Specialists as Defined by the Joint Committee of WSAL-WDAVI-WASCD and by Practicing School Library Media Specialists attending the 1971 WDAVI Spring Conference

A study designed: (1) to determine whether the building level Role Definition produced by the ad hoc Joint Standards Committee was representative of the roles performed by the media personnel, and (2) to determine the role duties of district media personnel. The study showed the Role Definition to be representative and the district level proposal emphasizing administrative and coordinative responsibilities. It was recommended a future study be conducted to further the knowledge of the role/duties of district media personnel