[1] Wu Qiong**, Ji Guojun, Song Wenzhong, Dai Xianzhong, et al. The Mechanism of Eliminating Harmonic Resonance withControllers and Application to the Power Systems* [J]. Journal of Southeast University (English Edition), 2002, 18 (2): 164-172. [doi:10.3969/j.issn.1003-7985.2002.02.013]

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The Mechanism of Eliminating Harmonic Resonance withControllers and Application to the Power Systems^*()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

18

Issue:

2002 2

Page:

164-172

Research Field:

Mathematics, Physics, Mechanics

Publishing date:

2002-06-30

Info

Title:

The Mechanism of Eliminating Harmonic Resonance withControllers and Application to the Power Systems^*

Author(s):

Wu Qiong^1**;  Ji Guojun²;  Song Wenzhong²;  Dai Xianzhong²

¹Department of Mathematics, Anqing Teacher’s College, Anqing 246011, China
²Institute of Automatic Research, Southeast University, Nanjing 210096, China

Keywords:

eliminate resonance;  feedback control law;  over-voltage;  bifurcation;  manifold

PACS:

O175.15

DOI:

10.3969/j.issn.1003-7985.2002.02.013

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. Due to this discovery, the principle of eliminating resonance by using anti-bifurcation technique is presented, which makes that the theoretical bases of very measure to eliminate resonance are unified firstly from a point of view of basic theory. Our discussion models depend on a class of nonlinear control model. Using the direct Lyapunov method, a complete theoretical proof is given in accordance with the measure of eliminating resonance by connecting nonlinear resistor in series to the neutral point of P. T., and the feedback control law being applied. It comprises the action of parameters of resistor to eliminate resonance and the actual process of eliminating resonance, i.e., to go against bifurcation process which forces the big harmonic solutions to retreat to the integral manifold gradually and disappear eventually, which by using the nonlinear controllers. This makes it sure that the intrinsic cause of resonance is eliminated thoroughly.The obtained theory results and computing results are better than the presented results.

References:

[1] Shott H S, Pererson H A. Criteria for neutral stability of Wye-grounded primary broken-delta-secondary transformer circuits[J]. AIEE Trans, 1941, 60:997-1002.
[2] Peterson H A. Transients in power systems. General electric series[M].Shanghai:Traffic Book-Shop, 1951.(in Chinese)
[3] Chen Weixian. The Internal over-voltage in power systems[M]. Beijing: Chinese Industrial Press, 1965.(in Chinese)
[4] Lai Dingwen, Wang Zhengxian. Some nonlinear differential equations appeared in power systems [J]. Math Appl, 1990, 13:84-90.
[5] Lai Dingwen, Wang Zhengxian. An application of bifurcation of periodic solutions to ferroresonance over-voltage in power systems [J]. Chinese Sci Bull, 1991.1601-1605.
[6] Lai Dingwen, Ji Guojun, Wang Zhengxian. Existence of periodic solutions in an oscillatory system with two degrees of freedom in three-phase power systems[J]. Acta Math Appl Sinica, 1991, 14:164-173.
[7] Lai Dingwen, Wang Zhengxian. The Lyapunov’s method in the study of mechanism of eliminating resonance in power systems [A]. In: Theory of Ordinary Diff Eqns with Appl[C]. Beijing: Science Press, 1992.69-70.
[8] Yoshizawa T. Stability theory and the existence of periodic solutions and almost periodic solutions[M]. New York: Springer-Verlag, 1975.
[9] Ji Guojun, Song Wenzhong. Discussion to the over-voltage models during circuit opened under the nonsynchronous closing in power systems [J]. Mathematica Applicata, 1999, 12:30-35.
[10] Ji Guojun, Song Wenzhong. Study to the control systems model of over-voltage produced by nonsynchronous closing in power systems [J]. ACTA Mathematicae Applicatae Sinica, 1999, 22:438-445.

Memo

Memo:

* The project supported by the National Natural Science Foundation of China to the outstanding youth(59925718).
** Born in 1968, female, lecturer.

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