Dj. Tylavsky et al., PARALLEL VECTOR PROCESSING SYNERGY AND FREQUENCY-DOMAIN TRANSIENT STABILITY SIMULATIONS, Electric power systems research, 28(2), 1993, pp. 89-97
The use of vector and parallel-vector processing to perform triangular
substitution and power system transient stability simulations is expl
ored in this paper. Experimental results obtained from the Cray X/MP-1
16se and Cray Y/MP-8/8-64 show large gains due to vectorization. Exper
imental results on the Alliant FX/8 show that the synergistic relation
ship between parallel and vector processing can be used to achieve gai
ns on the order of 25 for multiple forward and backward substitution p
roblems. The vectorized triangular solver is incorporated into a frequ
ency domain relaxation scheme for performing dynamic simulations. Inte
rfacing the and frequency domain variables is achieved using a vectori
zed fast Fourier transform routine. A sparse implementation of the fre
quency domain integrator and lag operators is shown to be highly vecto
rizable and to require O(N) operations rather than O(N2) required by a
dense formulation. Dynamic simulation results are provided for the Cr
ay X/MP and Cray Y/MP showing real-time performance.