Modeling, analysis, and experimentation of chaos in a switched reluctance drive system

In this brief, modeling, analysis, and experimentation of chaos in a switched reluctance (SR) drive system using voltage pulsewidth modulation are presented. Based on the proposed nonlinear flux linkage model of the SR drive system, the computation time to evaluate the Poincaré map and its Jacobian matrix can be significantly shortened. Moreover, the stability analysis of the fundamental operation is conducted, leading to determine the stable parameter ranges and hence to avoid the occurrence of chaos. Both computer simulation and experimental measurement are given to verify the theoretical modeling and analysis.published_or_final_versio

Analysis of chaos in current-mode-controlled dc drive systems

In this paper, chaotic behavior in current-mode-controlled dc drive systems has been analyzed. The key is to derive an iterative map that describes the nonlinear system dynamics. Analytical modeling of fundamental and subharmonic oscillations as well as their stability analysis are presented. The results show that the current-mode-controlled dc drive systems generally exhibit chaotic behavior. To avoid the occurrence of chaos, the stable ranges of various system parameters are determined. Both computer simulation and experimental measurement are given to verify the theoretical analysis.published_or_final_versio

Dynamic bifurcation in dc drives

Dynamic bifurcation as well as chaotic behavior in a fixed-frequency current-mode controlled dc chopper-fed dc motor drive system is presented. The key is to derive an iterative map that describes the nonlinear dynamics of the system operating in the continuous conduction mode. It illustrates that different bifurcation diagrams can be obtained by varying different system parameters. Analytical modeling of period-1 and hence period-p orbits as well as their stability analysis using the characteristic multipliers are also presented. Hence, those stable ranges of various system parameters can be determined. Moreover, chaotic behavior is quantified by evaluating the Lyapunov exponents. The proposed approach is so general that it can readily be applied to other current-mode dc drives.published_or_final_versio

Chaoization of switched reluctance motor drives

This paper presents a new technique for the chaoiztion of switched reluctance motor (SRM) drivers. Based on the chaotic modeling of SRM drives, effects of feedback controller gains on the stability of the rotor speed are investigated. In accordance, a control strategy combining piecewise proportional feedback and time-delayed feedback is proposed to produce bound-controllable oscillation around any specific rotor speed. To estimate the continuous influence of a certain control parameter, a Poincaré map sampling at every extreme points is constructed, then the bifurcation diagrams are drawn. Theoretical analysis and numerical simulation for a practical 12/8 motor driver are also given.published_or_final_versio

Application of chaotic-motion motors to industrial mixing processes

Industrial mixers are among the most expensive and ineffective equipment in food, drug, chemical and semiconductor industries. Effects of this ineffectiveness are not only energy wastage, but also can be disastrous. Instead of using complicated mechanical means, this paper presents a new way which can electrically produce the desired chaotic motion for industrial mixing processes. Namely, chaoization of the DC motor (the agitator) using time-delay feedback control is proposed and implemented. Theoretical derivation and computer simulation are provided to illustrate the controllable chaotic motion. Moreover, the mixing effectiveness is experimentally verified by an acid-base neutralization reaction.published_or_final_versio

Experimental stabilization of chaos in a voltage-mode DC drive system

This paper first presents experimental evidence on the use of delayed self-controlling feedback to stabilize chaos in a practical voltage-mode dc drive system. Also, a new analytical approach to compute the domain of stabilization is proposed. Based on a simple feedback loop, chaotic behavior can be successfully stabilized to fundamental or subharmonic operation using the same time delay.published_or_final_versio

Subharmonics and chaos in switched reluctance motor drives

In this paper, the investigation of the nonlinear dynamics of an adjustable speed switched reluctance motor (SRM) drive with voltage PWM regulation is carried out. The corresponding bifurcation diagrams and chaotic Poincare sections are presented. It shows that the system generally exhibits a period-doubling route to chaos.published_or_final_versio

Subharmonics and chaos in switched reluctance motor drives

In this paper, the investigation of the nonlinear dynamics of an adjustable-speed switched reluctance motor (SRM) drive with voltage pulse width modulation (PWM) regulation is carried out. Nonlinear iterative mappings based on both nonlinear and approximately linear flux linkage models are derived, hence the corresponding subharmonic and chaotic behaviors are analyzed. Although both flux linkage models can produce similar results, the nonlinear one offers the merit of accuracy but with the sacrifice of computational time. Moreover, the bifurcation diagrams show that the system generally exhibits a period-doubling route to chaos.published_or_final_versio

Modeling of subharmonics and chaos in DC motor drives

In this paper, the nonlinear dynamics of both voltage-mode and current-mode controlled dc motor drive systems are presented. The investigation is based on the derivation of the discrete mappings that describe their system subharmonics and chaos in the continuous conduction mode of operation. It illustrates that different bifurcation diagrams can be obtained by using different modes of control while varying the same system parameters. A unified modeling approach for the period-1 and hence the period-p orbits as well as their stability analysis during both voltage-mode and current-mode of control is proposed and verified.published_or_final_versio

Modeling and analysis of chaotic behavior in switched reluctance motor drives

In this paper, modeling and analysis of chaotic behavior in switched reluctance (SR) motor drives using voltage PWM regulation is presented. The key is to derive a Poincare map that is based on the nonlinear flux linkage model. Its Jacobian matrix can be evaluated by solving the corresponding variational equation. Based on the Poincare map and its Jacobian matrix, the analysis of chaotic behavior is presented. Furthermore, bifurcation diagrams are also figured out. They facilitate to determine the stable range of various system parameters so as to avoid the occurrence of chaos. Both computer simulations and experimental measurements are given to verify the theoretical modeling and analysis.published_or_final_versio