Bifurcation Analysis and Stabilization of DC Power Systems for Electrified Transportation Systems

Saublet, Louis-Marie; Gavagsaz-Ghoachani, Roghayeh; Martin, Jean-Philippe; Nahid‐Mobarakeh, Babak; Pierfederici, Serge

doi:10.1109/tte.2016.2519351

Cited by 27 publications

(19 citation statements)

References 30 publications

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“…According to the electrical characteristics of CPL, it can be known that this equivalent model is not suitable for studying the global bifurcation characteristics of the system other than the equilibrium points. Previous studies have shown that the discrete mapping model was suitable for the study of the 2 global bifurcation analyses of power electronics systems [10][11][12][13][14]. In [12] a new discrete-time model was proposed to investigate the bifurcation behavior of the boost converter feeding a CPL in the transportation system.…”

Section: Introductionmentioning

confidence: 99%

Discrete Modeling and Period-Adding Bifurcation of DC–DC Converter Feeding Constant Power Load

Huang

2021

IEEE Access

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In this work, an including the switched evolution process discrete model of a DC-DC converter feeding a switched constant power load is proposed based on the Poincaré mapping rule and matrix exponent method. Numerical simulations of the bifurcation scheme based on the proposed discrete model reveal the period-adding bifurcation structures of the system as multiple devils' staircases. Further, the calculation of the stable regions of the multiple-period orbits of the nested period-adding bifurcation structures are illustrated. The experimental results verify the validity of the discrete model and analytical accuracy of the period-adding bifurcation characteristics of the system. The proposed model solves the difficulties associated with discrete modeling for power electronic nonlinear switched systems. The introduction of the switched evolution process in the proposed discrete model provides a specific mathematical model for studying the influence of the switched evolution process on the dynamics of power electronic nonlinear switched systems. This study is expected to be a foundation for the theory and further research on such power electronic nonlinear switched systems.

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Section: Introductionmentioning

confidence: 99%

Discrete Modeling and Period-Adding Bifurcation of DC–DC Converter Feeding Constant Power Load

Huang

2021

IEEE Access

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“…The variation of the eigenvalues when bifurcation parameters vary can be investigated to learn which bifurcation occurs. A bifurcation demonstrates a qualitative change in the properties of the system depending on these bifurcation parameters [7]. The bifurcation parameters can include load power [14][15][16], feedback gain [17,18], capacitance [18], load resistance [18,19], inductance [20], parasitic resistance of the inductor, switching frequency [21], gain controller [22,23], compensating ramp [23][24][25], series resistance of the capacitor [26], input voltage, current reference, and other factors.…”

Section: Introductionmentioning

confidence: 99%

“…aircraft, ships, and electric cars). Another solution is to change the command of power electronic devices [7]. This can be used in the source [8] and/or load control characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…For instance, it is feasible to reduce one or some load control bandwidths thus they are no longer tightly controlled. This makes easy stabilisation, nevertheless reduces load performance [7]. A different example is to include virtual passive damping circuits or a compensator in the command.…”

Section: Introductionmentioning

confidence: 99%

“…The switching effect is considered. In [7, 32], the discrete model for switching converters with CPL has been presented. The active stabiliser is embedded in the controller of the source converter.…”

Section: Introductionmentioning

confidence: 99%

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Active stabilisation design of DC–DC converters with constant power load using a sampled discrete‐time model: stability analysis and experimental verification

Gavagsaz-Ghoachani

Saublet

Phattanasak

et al. 2018

IET Power Electronics

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Instabilities of cascade converters with an LC filter in between in power electronic systems have been known, and many answers have been proposed. The load converters are tightly regulated, acting as constant power loads (CPLs). Average models are generally utilised to study the behavior of the converters. For embedded applications, the weight and the volume should be reduced. Consequently, in this case, the limitations of the average method are reached when the cutoff frequency of the LC input filter is close to the switching frequency. Then, other tools are necessary to study this type of system. To overcome this problem, a discrete-time model was developed to study the behavior of the system, taking into account the switching effect. The aim was to enlarge the power range of the stability zone for a DC system composed of a DC-DC boost converter as a source converter, which was connected to the power load via an LC input filter. For this purpose, a stabilisation expression is integrated in the command of the source converter. The stability analysis by the eigenvalues of the system is described using the proposed model. Simulation and experimental results are discussed to verify the proposed stabiliser in different cases.

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Backstepping Control of Abnormal Behaviours in DC-DC Boost Converter

Madni¹,

Guesmi

Benalia³

2018

Advanced Control Engineering Methods in Electrical Engineering Systems

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Bifurcation Analysis and Stabilization of DC Power Systems for Electrified Transportation Systems

Cited by 27 publications

References 30 publications

Discrete Modeling and Period-Adding Bifurcation of DC–DC Converter Feeding Constant Power Load

Discrete Modeling and Period-Adding Bifurcation of DC–DC Converter Feeding Constant Power Load

Active stabilisation design of DC–DC converters with constant power load using a sampled discrete‐time model: stability analysis and experimental verification

Backstepping Control of Abnormal Behaviours in DC-DC Boost Converter

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