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Extra info for Advanced Technologies
Stevenson, Jr. (1994), Power System Analysis, McGraw-Hill International Editions, New York. W. H. (1968), Computer Methods in Power System Analysis, McGrawHill Book Company, New York. 46 Advanced Technologies Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations 47 X3 Parallel direct integration variable step block method for solving large system of higher order ordinary differential equations Zanariah Abdul Majid and Mohamed Suleiman Universiti Putra Malaysia Malaysia 1.
The error controls were at the second point in the block because in general it had given us better results. The local errors estimates will be obtain by comparing the absolute difference of the corrector formula derived of order k and a similar corrector formula of order k-1. In these problems we recall that speed up is a measure of the relative benefits of parallelising a given application over sequential implementation. The speed up ratio on two processors that we use is defined as Sp = Ts Tp (11) where Ts is the time for the fastest serial algorithm for a given problem and T p is the execution time of a parallel program on multiprocessors and in this research we used p = 2 .
In NRSE method, the sub-matrix HV, shown in Eq. 13 and Eq. e. 0 or 1. Therefore they need not to be computed at each iteration resulting in very small computation time. The sub-matrices of Hpij, Hpji, Hqij and Hqji have exactly the same zero and nonzero structures as the network branches. This is because each line flow is incident to its two terminal buses. Thus, these sub-matrices are sparse and may not take longer time to compute. On the other hand, the sub-matrices of HP and HQ involve derivatives of real and reactive power injections into the buses.