A new method on the limit cycle stability analysis of digitally controlled interleaved DC–DC converters

Gkizas, George; Giaouris, Damian; Pickert, Volker

doi:10.1016/j.conengprac.2019.06.012

Cited by 4 publications

(3 citation statements)

References 30 publications

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“…Analysis of Chaos using Floquet theory was discussed in [25][26][27][28][29][30]. Floquet Theory (Filippov's method) is applied to analyze the stability based on Floquet multipliers ( [34,37,38] and [39]).…”

Section: Analysis Of the Chaosmentioning

confidence: 99%

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Period-doubling bifurcation analysis and chaos control for load torque using FLC

Moustafa

Sobaih

Abozalam

et al. 2021

Complex Intell. Syst.

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Chaotic phenomena are observed in several practical and scientific fields; however, the chaos is harmful to systems as they can lead them to be unstable. Consequently, the purpose of this study is to analyze the bifurcation of permanent magnet direct current (PMDC) motor and develop a controller that can suppress chaotic behavior resulted from parameter variation such as the loading effect. The nonlinear behaviors of PMDC motors were investigated by time-domain waveform, phase portrait, and Floquet theory. By varying the load torque, a period-doubling bifurcation appeared which in turn led to chaotic behavior in the system. So, a fuzzy logic controller and developing the Floquet theory techniques are applied to eliminate the bifurcation and the chaos effects. The controller is used to enhance the performance of the system by getting a faster response without overshoot or oscillation, moreover, tends to reduce the steady-state error while maintaining its stability. The simulation results emphasize that fuzzy control provides better performance than that obtained from the other controller.

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Section: Analysis Of the Chaosmentioning

confidence: 99%

“…While, the Floquet theory depends on the State Transition Matrix (STM) for the full cycle [34,35,[37][38][39]. Both methods give the same results; however, the Floquet theory fits well with mechanical switching systems and simpler to be implemented as compared to the Lyapunov exponent method [25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Period-doubling bifurcation analysis and chaos control for load torque using FLC

Moustafa

Sobaih

Abozalam

et al. 2021

Complex Intell. Syst.

View full text Add to dashboard Cite

show abstract

“…Floquet theory has been successfully applied in the past to perform stability analysis of simple power electronics converters such as the conventional buck converter [25], cascaded converters [33] and interleaved converter [41] among others. The application of this approach to multi-level flying capacitor converters has not been reported for the best knowledge of the authors.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics and Stability Analysis of a Three-Cell Flying Capacitor DC-DC Converter

et al. 2021

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This paper presents a study of the nonlinear dynamic behavior a flying capacitor four-level three-cell DC-DC buck converter. Its stability analysis is performed and its stability boundaries is determined in the multi-dimensional paramertic space. First, the switched model of the converter is presented. Then, a discrete-time controller for the converter is proposed. The controller is is responsible for both balancing the flying capacitor voltages from one hand and for output current regulation. Simulation results from the switched model of the converter under the proposed controller are presented. The results show that the system may undergo bifurcation phenomena and period doubling route to chaos when some system parameters are varied. One-dimensional bifurcation diagrams are computed and used to explore the possible dynamical behavior of the system. By using Floquet theory and Filippov method to derive the monodromy matrix, the bifurcation behavior observed in the converter is accurately predicted. Based on justified and realistic approximations of the system state variables waveforms, simple and accurate expressions for these steady-state values and the monodromy matrix are derived and validated. The simple expression of the steady-state operation and the monodromy matrix allow to analytically predict the onset of instability in the system and the stability region in the parametric space is determined. Numerical simulations from the exact switched model validate the theoretical predictions.

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Optimal robust control of a Cascaded DC–DC boost converter

Gkizas

2021

Control Engineering Practice

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A new method on the limit cycle stability analysis of digitally controlled interleaved DC–DC converters

Cited by 4 publications

References 30 publications

Period-doubling bifurcation analysis and chaos control for load torque using FLC

Period-doubling bifurcation analysis and chaos control for load torque using FLC

Nonlinear Dynamics and Stability Analysis of a Three-Cell Flying Capacitor DC-DC Converter

Optimal robust control of a Cascaded DC–DC boost converter

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