Title: The mechanism of eliminating harmonic resonance with controllers by over-voltage in the power systems

Authors: Guojun Ji

Addresses: School of Management, Xiamen University, Xiamen, Fujian 361005, PR China

Abstract: The phenomenon of anti-symmetrical bifurcation of periodic solutions occurring near an integral manifold is the intrinsic cause resulting in harmonic resonance over-voltage in power systems. On the basis of this conclusion, the principle of eliminating harmonic resonance by using an anti-bifurcation approach is presented, which means that the theoretical basis of every measure to eliminate resonance is unified firstly from a point of view of basic theory. Our discussion models depend on a class of non-linear control model produced by over-voltage in the power systems. Using the direct Lyapunov technique, a complete theoretical proof is given in accordance with the measure of eliminating resonance by connecting non-linear resistors in series to the neutral point of PT and applying the feedback control law. It comprises the action of the parameters of the resistors to eliminate resonance and the actual process of eliminating resonance, that is, to go against the bifurcation process which forces the big harmonic solutions to retreat to the integral manifold gradually and disappear eventually, by using the non-linear controllers. This ensures that the intrinsic cause of resonance is eliminated thoroughly.

Keywords: resonance elimination; feedback control law; power systems; resonance over-voltage; bifurcation; manifold; harmonic resonance; anti-bifurcation; nonlinear control; modelling.

DOI: 10.1504/IJMIC.2006.011938

International Journal of Modelling, Identification and Control, 2006 Vol.1 No.3, pp.164 - 170

Published online: 03 Jan 2007 *

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