Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter

Chen, Xinbing; Liu, Xiaoli; Hu, Wei; Xie, Binsheng

doi:10.1016/j.egyr.2021.08.060

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…Due to the strong non-linear modeling of switching converters [9], these converters can exhibit complex dynamical behaviors such as bifurcation and chaos with variation of a bifurcation parameter [10]. This bifurcation parameter can be the load [11], the reference voltage [12], the reference current [13,14], the inductance [15] of the converter, or a control parameter [16,17].…”

Section: Introductionmentioning

confidence: 99%

Impact of Chaos on MOSFET Thermal Stress and Lifetime

Morel,

Morel

2024

Electronics

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The reliability of power electronic switching components is of great concern for many researchers. For their usage in many mission profiles, it is crucial for them to perform for the duration of their intended lifetime; however, they can fail because of thermal stress. Thus, it is essential to analyze their thermal performance. Non-linear switching action, bifurcation and chaotic events may occur in DC-DC power converters. Consequently, they show different behaviors when their parameters change. However, this is an opportunity to study these bifurcation phenomena and the existence of chaos, e.g., in boost converters, on their performance as the effects of load variations (mission profiles) on the system’s behavior. These variations generate many non-linear phenomena such as periodic behavior, repeated period-doubling bifurcations and chaos in the MOSFET drain-source current. Thus, we propose, for the first time, an analysis of the influence of chaos on the junction temperature. First of all, this paper provides a step-by-step procedure to establish an electrothermal model of a C2M0080120D MOSFET with integrated power loss. Then, the junction temperature is estimated by computing the power losses and a thermal impedance model of the switch. Additionally, this model is used to investigate the bifurcation and chaotic behavior of the MOSFET junction temperature. The paper contributes by providing a mathematical model to calculate several coefficients based on experimental data and thermal oscillations. Estimation of the number of cycles to failure is given by the Coffin–Manson equation, while temperature cycles are counted using the rainflow counting algorithm. Further, the accumulated damage results are calculated using the Miner’s model. Finally, a comparison is made between the damage accumulated during different mission profiles: significant degradation of the MOSFET’s lifetime is pointed out for chaotic currents compared to periodic ones.

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Section: Introductionmentioning

confidence: 99%

Impact of Chaos on MOSFET Thermal Stress and Lifetime

Morel,

Morel

2024

Electronics

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“…A theoretical study based on a mathematical model of the boost converter where the Lyapunov function has made closed loop current and the voltage control possible, nevertheless Lyapunov function does not give the boost converter an overall stability, the monodromy matrix which interfere on systems nonlinear dynamic behavior allows stability of the boost converter [4]. An adaptive controller proposed to improve the performance of the buck converter which presents a time-bound estimate of the unknown system uncertainties and the exogenous disturbances, moreover an online estimator is carried out to reconstruct the uncertainty incurred, the additive uncertainty estimated then passes to the nominal backstepping controller for further finite-time compensation [5].…”

Section: Introductionmentioning

confidence: 99%

Improvement of the linear quadratic regulator control applied to a DC-DC boost converter driving a permanent magnet direct current motor

Bouchahed,

Assabaa,

Draidi

et al. 2023

IJECE

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This article discusses a new robust control technique that enables the DC-DC boost converter driving a permanent magnet direct current (PMDC) motor to operate in high static and dynamic performances. The new technique is based on the design of a both linear quadratic regulator (LQR) and linear quadratic regulator-proportional integral (LQR-PI) type controllers, which have the advantage of eliminating oscillations, overshoots and fluctuations on different characteristics in steady-state system operation. In order to increase the output voltage, the LQR regulator is combined with a first-order system represented in the form of a closed-loop transfer function, the latter raising the output voltage to 24 volts, this voltage is enough to drive the permanent magnet direct current motor. The contribution of this paper is the creation of a robust control system represented in the form of a hybrid corrector able to regulate steady-state and transient disturbances and oscillations as well as to increase DC-DC boost converter output voltage for the PMDC motor to operate at rated voltage. The results of the three control techniques are validated by MATLAB Simulink.

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Analysis and Control of Chaos in Current Mode Controlled Superbuck Converter for Photovoltaic Systems

Wang

Jiang

et al. 2023

EEENG

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Background: Superbuck converter as a strong nonlinear system, with the change of parameters Superbuck converter performance may be reduced due to nonlinear phenomena, such as bifurcation, chaos. Objective: Analyzing and controlling nonlinear phenomena in current-mode controlled Superbuck converters. Method: Bifurcation diagram, time-domain waveform diagram, phase portrait and poincare section. are used as analytical methods for the nonlinear dynamic characteristics of Superbuck converters. The chaotic control method of Superbuck converter is Resonant Parameter Perturbation (RPP). Results: After applying RPP control to the Superbuck converter in the chaotic state, it is converted into a single-cycle stable state in about 0.4ms. After the converter is controlled, the output current ripple is reduced from 0.71479A to 0.31A, and the output voltage ripple is reduced from 3.905V to 0.679V. Conclusion: With the increase of the reference current or the decrease of the input voltage or the increase of the load, the system enters the chaotic state through the period-doubling bifurcation path. In this paper, the chaos control of Superbuck converter is carried out for the first time, and the control method is the resonant parametric perturbation method. After RPP control, the converter is changed from unstable chaotic state to stable period 1 state in about 0.4ms.

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Bifurcation and chaos behaviors of Lyapunov function controlled PWM boost converter

Cited by 3 publications

References 9 publications

Impact of Chaos on MOSFET Thermal Stress and Lifetime

Impact of Chaos on MOSFET Thermal Stress and Lifetime

Improvement of the linear quadratic regulator control applied to a DC-DC boost converter driving a permanent magnet direct current motor

Analysis and Control of Chaos in Current Mode Controlled Superbuck Converter for Photovoltaic Systems

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