Control of three-synchronous-generator infinite-bus system by OGY method

Stability of a power system has been investigated in terms of chaos and bifurcation. In this paper, the OGY (Ott–Grebogi–Yorke) method for controlling chaos of three machines operating onto an infinite‐bus system is investigated by computer simulations. The swing equation with the controlling input u is used. The OGY method is extended to the form in the six‐dimensional space. The eight equilibrium points are obtained. The swing equation is normalized and transformed into a discrete‐time state equation from which the control input is calculated. The time series of the phase angles of generators without the control input show the chaotic irregular motion and the step‐out. The time series of the phase angle of generators with the control inputs by the OGY method show the stable motion. The phase angles are successfully controlled onto the unstable equilibrium points with the three unstable manifolds and the three stable manifolds. © 2005 Wiley Periodicals, Inc. Electr Eng Jpn, 151(2): 32–39, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.20008