flexible ac transmission systems (facts) controllers with its ability to directly control the power flow can offer great opportunities in modern power system, allowing better and safer operation of transmission network. in this paper, in order to find type, size and location of facts devices in a power system a dedicated improved particle swarm optimization (dipso) algorithm is developed for de...

A number n is said to be economical if the prime power factori-sation of n can be written with no more digits than n itself. We show that under a plausible hypothesis, related to the twin prime conjecture, there are arbitrarily long sequences of consecutive economial numbers, and exhibit such a sequence of length 9.

Economical flows are studied by means of a particle model. Simulation methods are applied to the problem and a theoretical framework is constructed. Adaptive methods for the analysis, the evaluation and the control of economical flows are deduced.