Eur. Phys. J. B (2015) 88: 170
https://doi.org/10.1140/epjb/e2015-60030-9

Regular Article

Effects of asymmetry, transmission delay and noises on the stability of an elementary electricity network

Lab. Modelling and Simulation in Engineering, Biomimetics and Prototypes, Faculty of Science, University of Yaoundé I, Box 812, Yaoundé, Cameroon

^a e-mail: pwoafo1@yahoo.fr

Received: 12 January 2015
Received in final form: 24 March 2015
Published online: 1 July 2015

Abstract

We numerically study the effects of the asymmetry of the transmission lines capabilities, of the transmission delay and power noises, on the stability of an elementary electricity network consisting of one machine and two generators. It is found that the asymmetry increases the stability of the system. It is also found that the threshold value of the perturbation intensity leading to the network instability decreases as the time delay increases. When the system is subject to a stochastic perturbation, its stability depends not only on the noises intensity, but also on the time delay and the value of the transmission lines capabilities.