Investigation and Control of Unstable Chaotic Behavior Using of Chaos Theory in Two Electrical Power Systems: 1-Buck Converter2- Power Transformer

This paper consists of two sections: control and stabilizing method for chaotic behaviour of converter is introduced in first section of this paper for the removal of harmonics caused by the chaotic behaviour in current converter. For this work, a TimeDelayed Feedback Controller (TDFC) control method for stability chaotic behaviour of buck converter for switching courses in current control mode is presented. This behaviour is demonstrated by presenting a piecewise linear discrete map for this converter and then combining the feedback equation to obtain the overall equation of the converter. A simple time-delay feedback control method is applied to stabilize the Unstable Periodic Orbits (UPOs). In second section the effect of a parallel Metal Oxide Arrester (MOV) on the ferroresonance oscillations of the transformer is studied. It is expected that the arresters generally cause ferroresonance drop out. Simulation has been done on a three phase power transformer with one open phase. Effect of varying input voltage has been studied. The simulation results reveal that connecting the arrester to the transformer poles, exhibits a great mitigating effect on ferroresonant over voltages. Phase plane along with bifurcation diagrams are also presented. Significant effect on the onset of chaos, the range of parameter values that may lead to chaos and magnitude of ferroresonant voltages has been obtained, shown and tabulated.

[1]  D. C. Hamill.  POWER ELECTRONICS : A FIELD RICH IN NONLINEAR DYNAMICS , 1995 .

[2]  Herbert Ho-Ching Iu,et al.  Control of chaos in a PWM current-mode H-bridge inverter using time-delayed feedback , 2003 .

[3]  C. Banmongkol,et al.  Failure of Riser Pole Arrester due to Station Service Transformer Ferroresonance , 2007 .

[4]  Tetsushi Ueta,et al.  Bifurcation analysis of a piecewise smooth system with non-linear characteristics: Research Articles , 2005 .

[5]  Majid Pakdel,et al.  A NEW ZVZCS ISOLATED DUAL SERIES RESONANT DC-DC CONVERTER WITH EMC CONSIDERATIONS , 2010 .

[6]  Mingtian Xu,et al.  Property of period-doubling bifurcations , 2005 .

[7]  Edward Ott,et al.  Controlling chaos , 2006, Scholarpedia.

[8]  Xinghuo Yu,et al.  Tracking unstable periodic orbits in chaotic systems via time delayed feedback control , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[9]  Zia Emin.  Ferroresonance Experience in UK : Simulations and Measurements , 2001 .

[10]  Amit Gupta,et al.  Dynamical effects of missed switching in current-mode controlled DC-DC converters , 2004, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  A. El Aroudi,et al.  Quasiperiodic route to chaos in DC-DC switching regulators , 2001, ISIE 2001. 2001 IEEE International Symposium on Industrial Electronics Proceedings (Cat. No.01TH8570).

[12]  Chi K. Tse,et al.  Complex behavior in switching power converters , 2002, Proc. IEEE.

[13]  M. Bernardo,et al.  Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters , 2000 .

[14]  周雒维,et al.  Self-Stable Chaos Control of dc-dc Converter , 2009 .

[15]  István Nagy.  Nonlinear dynamics in power electronics , 2000 .

[16]  A. C. Soudack,et al.  Effect of initial conditions on chaotic ferroresonance in power transformers , 1997 .

[17]  Luowei Zhou,et al.  Bifurcation diagram features of a dc-dc converter under current-mode control , 2006 .

[18]  Elimination of Chaotic Ferroresonance in power transformers including Nonlinear Core Losses applying of Neutral Resistance , 2009 .

[19]  William L. Ditto,et al.  Techniques for the control of chaos , 1995 .

[20]  G. Verghese,et al.  Nonlinear phenomena in power electronics : attractors, bifurcations, chaos, and nonlinear control , 2001 .

[21]  M. Abedi,et al.  On-grid and off-grid operation of multi-input single-output DC/DC converter based fuel cell generation system , 2010, 2010 18th Iranian Conference on Electrical Engineering.

[23]  R. Ramanujam,et al.  Effect of iron core loss nonlinearity on chaotic ferroresonance in power transformers , 2003 .

[24]  Afshin Rezaei-Zare,et al.  Analysis of Ferroresonance Modes in Power Transformers Using Preisach-Type Hysteretic Magnetizing Inductance , 2007, IEEE Transactions on Power Delivery.

[25]  Guanrong Chen,et al.  On time-delayed feedback control of chaotic systems , 1999 .

[26]  Effect of Damage on Bifurcation and Chaos of Viscoelastic Plates , 2005 .

[27]  An analytical discrete model for evaluation the chaotic behavior of Boost converter under current control mode , 2009 .

[28]  Mohammad Reza Zolghadri,et al.  Control of series resonant converter with robust performance against load and power circuit components uncertainties , 2010, 2010 1st Power Electronic & Drive Systems & Technologies Conference (PEDSTC).

[29]  Abdelali El Aroudi,et al.  Discrete time model of a multi-cell dc/dc converter: Non linear approach , 2006, Math. Comput. Simul..