Abstract

MESA, Fernando; CORREA, Germán  and  BARBA-ORTEGA, J.. Hopf Bifurcation in the Study of Synchronous Motor Stability. Ciencia en Desarrollo [online]. 2022, vol.13, n.1, pp.1-7.  Epub Apr 26, 2023. ISSN 0121-7488.  https://doi.org/10.19053/01217488.v13.n1.2022.12650.

In this work, the dynamic model of the synchronous motor was analyzed, which has a typical structure of Lienard-type systems. For this, the theory of dynamic systems was used, especially the Hopf bifurcation. The objective is to apply this type of bifurcation to the model described in order to show the variations in the equilibrium points of the system by taking as a variable parameter the voltage of the bus to which it is connected. The conditions that the voltage of the infinite bus to which the network is connected must meet in order for it to have asymptotic or spiral stability. It can then be shown that when the bus voltage presents variations, the equilibrium points change their dynamics from asymptotic stability to spiral stability.

Keywords : Dynamic systems; Equilibrium points; Periodic orbits; Stable system; Unstable system.

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