Study of Control Chaos by Resonant Parametric Perturbation in H Bridge Converter

2010 ◽  
Vol 439-440 ◽  
pp. 457-462
Author(s):  
Wei Jiang ◽  
Yu Fei Zhou ◽  
Jun Ning Chen
Keyword(s):  
High Efficiency ◽  
Control Method ◽  
Chaotic Behavior ◽  
Autonomous Systems ◽  
Current Mode ◽  
Nonlinear Phenomena ◽  
Parametric Perturbation ◽  
Controlling Chaos ◽  
Stable Period ◽  
Parameter Variations

This paper introduces the phenomenon of nonlinear chaos of the peak current mode to control H bridge converter that has been known to become chaos for wide parameter variations after simulating to the model of H bridge converter. The natural reason of nonlinear phenomena can be explained by theoretical analysis. According to the characteristics of H bridge converter, resonant parametric perturbation was provided to suppress chaotic behavior of the converter and made the system changing from chaos to stable period. It is an effective non-feedback method for controlling chaos and it is such a suitable control method for controlling chaos in non-autonomous systems. Selecting the best perturbation phase to achieve the best chaos control results can optimize the method of resonant parametric perturbation. The control method suppresses chaos with high efficiency and it can provide theoretical basis for stability design of H bridge converter.

Study of Nonlinear Phenomena and Chaos Control in Single-Phase SPWM H Bridge Inverter

2010 ◽  
Vol 39 ◽  
pp. 1-6 ◽  
Author(s):  
Wei Jiang ◽  
Fang Yuan ◽  
Wen Long Hu
Keyword(s):  
Chaos Control ◽  
Single Phase ◽  
Chaotic Behavior ◽  
Mathematics Model ◽  
Nonlinear Phenomena ◽  
Parametric Perturbation ◽  
Stable Period ◽  
Theoretical Significance

This paper introduces the work principle of single-phase SPWM H bridge inverter and builds up the mathematics model according to KVL and KCL. It can easy to observe nonlinear phenomena in the circuit after simulation the model. According to the characteristics of single-phase SPWM H bridge inverter, both resonant parametric perturbation and TDFC are good ways to eliminate chaotic behavior of inverter and made the system changing from chaos to stable period. It has a very important practical value and theoretical significance for stability design of single-phase SPWM H bridge inverter.

ZERO-CROSS INSTANTANEOUS STATE SETTING FOR CONTROL OF A BIFURCATING H-BRIDGE INVERTER

2007 ◽  
Vol 17 (10) ◽  
pp. 3571-3575 ◽  
Author(s):  
SATOSHI AKATSU ◽  
HIROYUKI TORIKAI ◽  
TOSHIMICHI SAITO
Keyword(s):  
Pulse Width Modulation ◽  
Control Method ◽  
Period Doubling ◽  
Current Mode ◽  
Nonlinear Phenomena ◽  
Unstable Periodic Orbits ◽  
Bifurcation And Chaos ◽  
Zero Crossing ◽  
Modulation Signal ◽  
A Current

This paper studies stabilization of low-period unstable periodic orbits (UPOs) in a simplified model of a current mode H-bridge inverter. The switching of the inverter is controlled by pulse-width modulation signal depending on the sampled inductor current. The inverter can exhibit rich nonlinear phenomena including period doubling bifurcation and chaos. Our control method is realized by instantaneous opening of inductor at a zero-crossing moment of an objective UPO and can stabilize the UPO instantaneously as far as the UPO crosses zero in principle. Typical system operations can be confirmed by numerical experiments.

Periodic Perturbation Method for Controlling Chaos for a Positive Output DC-DC Luo Converter

2017 ◽  
Vol 8 (2) ◽  
pp. 775 ◽  
Author(s):  
P. Balamurugan ◽  
A. Kavitha ◽  
P. Sanjeevikumar ◽  
J.L. Febin Daya ◽  
Tole Sutikno
Keyword(s):  
Control Strategy ◽  
Chaotic Attractor ◽  
Current Mode ◽  
Chaotic Regime ◽  
Periodic Perturbation ◽  
Control Technique ◽  
Controlling Chaos ◽  
Stable Period ◽  
Feedback Method ◽  
A Current

<p>A simple, non-feedback method of controlling chaos is implemented for a DC-DC converter. The weak periodic perturbation (WPP) is the control technique applied to stabilize an unstable orbit in a current-mode controlled Positive Output Luo (POL) DC-DC converter operating in a chaotic regime. With WPP, the operation of the converter is limited to stable period-1 orbit that exists in the original chaotic attractor. The proposed control strategy is implemented using simulations and the results are verified with hardware setup. The experimental results of the converter with WPP control are presented which shows the effectiveness of the control strategy.</p>

APPLYING RESONANT PARAMETRIC PERTURBATION TO CONTROL CHAOS IN THE BUCK DC/DC CONVERTER WITH PHASE SHIFT AND FREQUENCY MISMATCH CONSIDERATIONS

2003 ◽  
Vol 13 (11) ◽  
pp. 3459-3471 ◽  
Author(s):  
YUFEI ZHOU ◽  
CHI K. TSE ◽  
SHUI-SHENG QIU ◽  
FRANCIS C. M. LAU
Keyword(s):  
Phase Shift ◽  
Power Analysis ◽  
Control Method ◽  
Chaotic Behavior ◽  
Buck Converter ◽  
Effective Control ◽  
Parametric Perturbation ◽  
Control Power ◽  
Frequency Mismatch ◽  
Intermittent Chaos

The buck converter has been known to exhibit chaotic behavior in a wide parameter range. In this paper, the resonant parametric perturbation method is applied to control chaos in a voltage-mode controlled buck converter. In particular, the effects of phase shift and frequency mismatch in the perturbing signal are studied. It is shown that the control power can be significantly reduced if the perturbation is applied with an appropriate phase shift. Moreover, when frequency mismatch is inevitable, intermittent chaos occurs, but effective control can still be accomplished at the expense of raising the control power. Analysis, simulations and experimental measurements are presented to provide theoretical and practical evidences for the proposed control method.

scholarly journals Controlling Infectious Diseases: The Decisive Phase Effect on a Seasonal Vaccination Strategy

2021 ◽  
Vol 31 (15) ◽  
Author(s):  
Jorge Duarte ◽  
Cristina Januário ◽  
Nuno Martins ◽  
Jesús M. Seoane ◽  
Miguel A. F. Sanjuán
Keyword(s):  
Infectious Diseases ◽  
Epidemic Model ◽  
Control Method ◽  
Chaotic Behavior ◽  
Vaccination Strategy ◽  
Incidence Rates ◽  
Sir Epidemic Model ◽  
Chaotic Motions ◽  
Vaccination Programs ◽  
Controlling Chaos

The study of epidemiological systems has generated deep interest in exploring the dynamical complexity of common infectious diseases driven by seasonally varying contact rates. Mathematical modeling and field observations have shown that, under seasonal variation, the incidence rates of some endemic infectious diseases fluctuate dramatically and the dynamics is often characterized by chaotic oscillations in the absence of specific vaccination programs. In fact, the existence of chaotic behavior has been precisely stated in the literature as a noticeable feature in the dynamics of the classical Susceptible-Infected-Recovered (SIR) seasonally forced epidemic model. However, in the context of epidemiology, chaos is often regarded as an undesirable phenomenon associated with the unpredictability of infectious diseases. As a consequence, the problem of converting chaotic motions into regular motions becomes particularly relevant. In this article, we consider the so-called phase control method applied to the seasonally forced SIR epidemic model to suppress chaos. Interestingly, this method of controlling chaos has a clear meaning as a weak perturbation on a seasonal vaccination strategy. Numerical simulations show that the phase difference between the two periodic forces — contact rate and vaccination — plays a very important role in controlling chaos.

scholarly journals Controlling Chaos through Period-Doubling Bifurcations in Attitude Dynamics for Power Systems

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Shun-Chang Chang
Keyword(s):  
Power Systems ◽  
Control Method ◽  
Chaotic Behavior ◽  
Period Doubling ◽  
Lyapunov Stability Theory ◽  
Phase Portraits ◽  
Bifurcation Diagrams ◽  
Frequency Spectra ◽  
Controlling Chaos ◽  
Period Doubling Bifurcations

This paper addresses the complex nonlinear dynamics involved in controlling chaos in power systems using bifurcation diagrams, time responses, phase portraits, Poincaré maps, and frequency spectra. Our results revealed that nonlinearities in power systems produce period-doubling bifurcations, which can lead to chaotic motion. Analysis based on the Lyapunov exponent and Lyapunov dimension was used to identify the onset of chaotic behavior. We also developed a continuous feedback control method based on synchronization characteristics for suppressing of chaotic oscillations. The results of our simulation support the feasibility of using the proposed method. The robustness of parametric perturbations on a power system with synchronization control was analyzed using bifurcation diagrams and Lyapunov stability theory.

scholarly journals Design of a High-Power High-Efficiency Multi-Receiver Wireless Power Transfer System

Electronics ◽  
2021 ◽  
Vol 10 (11) ◽  
pp. 1308
Author(s):  
Yuyu Zhu ◽  
Hanyu Zhang ◽  
Zuming Wang ◽  
Xin Cao ◽  
Renyin Zhang
Keyword(s):  
Power Distribution ◽  
Power Flow ◽  
High Efficiency ◽  
Control Method ◽  
Experimental Models ◽  
Wireless Power ◽  
Multiple Receivers ◽  
Combined Operation ◽  
Wireless Power Transfer System ◽  
Good Agreement

This paper proposes a new control method to regulate the power flow into multiple receivers. This system consists of one transmitter controller and three receiver controllers. They work independently to decide the power distribution with their combined operation. The simulated and experimental models have been built, and the experimental results are in good agreement with the theoretical analysis results. The proposed method is robust, flexible, and generalizable, and can be employed under various wireless charging conditions.

Simulation on Linear-Motor-Driven Water Hydraulic Reciprocating Plunger Pump

2013 ◽  
Vol 842 ◽  
pp. 530-535 ◽  
Author(s):  
Zeng Meng Zhang ◽  
Yong Jun Gong ◽  
Jiao Yi Hou ◽  
Han Peng Wu
Keyword(s):  
Flow Rate ◽  
Deep Sea ◽  
High Efficiency ◽  
Control Method ◽  
Sea Water ◽  
Linear Motor ◽  
Low Flow ◽  
Flow Pulsation ◽  
Plunger Pump ◽  
Water Hydraulic

The water hydraulic reciprocating plunger pump driven by linear motor is suitable to deep sea application with high efficiency and variable control. Aiming to study the principle structure and working characteristics of the pump, two patterns of valve and piston distribution were designed. And the control method and the performance were analyzed by simulation based on the AMESim model. The results show that the pressure and flow pulsation of piston type pump are much smaller than the valve type, even though the piston type is large in scale and works at low flow rate. Compared with a valve distribution tri-linear-motor reciprocating plunger pump (VDTLMP), as the flow rate of the piston distribution double linear motor reciprocating plunger pump (PDDLMP) is decreased from 36.7 L/min to 21.2 L/min theoretically, the pressure pulsation amplitude is decreased from 46% to 2%, and the flow pulsation rate is also decreased from 0.266 to 0.007. These results contribute to the research on deep-sea water hydraulic power pack and direct drive pump with high efficiency and energy conservation.

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