Owing to the growing size and complexity in power systems, system analysis, such as the transient calculation, take much time hence fast calculation methods are required. Although the parallel processing is a hopeful method, there was a difficulty in the parallel solution of the linear equation which appears in the power-flow calculation through the Newton-Raphson method.
This paper aims at the fast calculation of the power-flow ploblem via parallel processing. In order to improve the suitability to the parallel solution of the differential equation in transient calculation, we assume the use of a direct-mapping-type parallel processing machine, which directly maps the network of a power system onto the network of processors. Under this assumption, we propose a new parallel-processing-oriented method, where the linear equation is solved by linear-iterations between nodes with the Aitken acceleration. We simulate the method on three model power systems and compare this Parallel Iterative Method (PIM) with a Parallel Direct Method (PDM), which uses the banded matrix, according to the number of operations required. As the results, we can expect that the PIM may solve the linear equations faster than the PDM with
m processors, although the PIM might be inferior to the PDM with mxm processors, where
m denotes the halfband-width of the banded matrix.
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