Stability analysis and bifurcations of SEPIC DC-DC converter using a discrete-time model

Debbat, Mohamed; Aroudi, Abdelali El; Giral, Roberto; Martínez-Salamero, L.

doi:10.1109/icit.2002.1189317

Cited by 15 publications

(6 citation statements)

References 10 publications

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“…Previous attempts have been made only to study the nonlinear dynamics of this converter in a discrete domain [9]. In this paper, a comparison is made between current mode and a hysteretic current-controlled SEPIC converter.…”

Section: Resultsmentioning

confidence: 99%

Comparative study between peak current mode and hysteretic current mode control of a single–ended primary inductance converter

Kavitha

Uma

2012

IET Power Electronics

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Dc-dc converters have been reported as exhibiting a wide range of bifurcations and chaos under certain conditions. In this study, the analysis of bifurcation in a peak current-controlled single-ended primary inductance converter (SEPIC) topology operating in the continuous conduction mode is performed and is compared with the hysteretic current mode control. The stability of the system is analysed by varying the reference current. The locii of the complex eigenvalues and the characteristic multipliers indicate that the one-periodic orbit loses its stability via period-doubling bifurcation. A hysteretic current-controlled SEPIC converter that uses the sum of the two inductor currents as a control variable is discussed. The operation states of the converter are studied based on the theory of sliding mode control. A computer simulation using MATLAB/SIMULINK confirms the predicted bifurcations and the experimental results show that stable periodic operation is obtained for a wide variation in parameter.

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Section: Resultsmentioning

confidence: 99%

Comparative study between peak current mode and hysteretic current mode control of a single–ended primary inductance converter

Kavitha

Uma

2012

IET Power Electronics

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“…The 1-periodic orbit loses its stability via flip bifurcation and the resulting attractor is a 2-periodic orbit [6]. In the range of the reference current (5-6) A, period doubling is observed.…”

Section: Period-2 Operationmentioning

confidence: 96%

Control of chaos in SEPIC DC-DC converter

Kavitha

Uma

2010

Int. J. Control Autom. Syst.

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DC-DC converters are widely used in power electronic systems where there is a need for stabilizing a given dc voltage to a desired value. It has been reported that DC-DC converters exhibit different non-linear phenomena including bifurcations, quasi-periodicity and chaos under both voltage mode and current mode control schemes. In this work, current mode controlled SEPIC converter operating in continuous conduction mode is considered and by varying the reference current I ref , the converter exhibits chaos. It has been observed that the system changes from a stable buck-like operation to an unstable boost-like operation by varying I ref . Bifurcation diagram is plotted for control signal and capacitor voltage with I ref as bifurcation parameter. Resonant parametric perturbation control technique has been applied to suppress chaos. Effects of phase shift and frequency mismatch are also analyzed. With phase shift, control power required for suppressing chaos has been reduced. Also intermittent chaotic stages are suppressed with the effect of frequency mismatch at the expense of increasing control power. The stability analysis in SEPIC converter is performed by means of discrete model and is validated through the simulated and experimental results.

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“…Because theĆuk DC-DC converter operates cyclically, working with models that involve quantities sampled once per cycle is especially natural. The nonlinear discrete map is a suitable tool to represent the periodic behavior of the converter [9,10,11]. We will drive this map as much for 1-periodic orbit as for 2-periodic orbit.…”

Section: Derivation Of Nonlinear Discrete Mapmentioning

confidence: 99%

Bifurcation Analysis of Current Mode Control ?uk DC-DC Converter

Debbat¹,

Aroudi²,

Bouyadjra³

2012

IJCA

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In this paper, bifurcation analysis of current mode controlĆuk DC-DC converter operating in continuous conduction mode is carried out. Nonlinear discrete maps as much for 1-periodic orbit as for 2periodic orbit have been built. The stability analysis of both orbits is concerned using the Jacobian matrix and its eigenvalues. When the reference current is taken as a bifurcation parameter, it has been shown that the 1-periodic orbit loses its stability via flip bifurcation and the resulting is a stable 2-periodic orbit. By increasing the reference current further more, the 2-periodic orbit collides with a borderline and bifurcates to chaos via border collision bifurcation. A closed form expression of the borderline has been calculated.

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Stability analysis and bifurcations of SEPIC DC-DC converter using a discrete-time model

Cited by 15 publications

References 10 publications

Comparative study between peak current mode and hysteretic current mode control of a single–ended primary inductance converter

Comparative study between peak current mode and hysteretic current mode control of a single–ended primary inductance converter

Control of chaos in SEPIC DC-DC converter

Bifurcation Analysis of Current Mode Control ?uk DC-DC Converter

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