Laplace transform analysis of electromagnetic power system transients generally is based on a technique in which the Laplace inversion integral is truncated with a suitable data window. This technique, being referred ...
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Laplace transform analysis of electromagnetic power system transients generally is based on a technique in which the Laplace inversion integral is truncated with a suitable data window. This technique, being referred to as WNLT, is appropriate for most practical cases. Nevertheless, it results inadequate for certain R&D tasks. This paper presents a new technique for numerical Laplace inversion that does not require truncation with a data window;it instead uses Brezinski's theta algorithm to account for the infinite range of the Laplace inversion integral. As opposed to the WNLT, the new technique guarantees consistent and high accuracy levels at low computational costs. Finally, the new technique is applied to the transient analysis of a power-system network. Its results compare favorably well with those from the PSCAD/EMTDC program.
The solution of an integral equation using the method of moments leads to a system of linear equations. The resulting system of equations can be solved by direct and iterative methods. This paper introduces an iterati...
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The solution of an integral equation using the method of moments leads to a system of linear equations. The resulting system of equations can be solved by direct and iterative methods. This paper introduces an iterative method utilizing Brezinski's theta algorithm. The algorithm has previously been used in accelerating the con vergence of scalar sequence. With the aid of two integral equations, it is shown that the algorithm is able to accelerate the convergence of a vector sequence resulting in the solution vector. (c) 2008 Wiley Periodicals, Inc.
We present highlights of computations of the Riemann zeta function around large values and high zeros. The main new ingredient in these computations is an implementation of the second author's fast algorithm for n...
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We present highlights of computations of the Riemann zeta function around large values and high zeros. The main new ingredient in these computations is an implementation of the second author's fast algorithm for numerically evaluating quadratic exponential sums. In addition, we use a new simple multi-evaluation method to compute the zeta function in a very small range at little more than the cost of evaluation at a single point.
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