Period‐bubbling and mode‐locking instabilities in a full‐bridge DC–AC buck inverter

Shankar, Deivasundari Parvathy; Uma, G.; Karunakaran, Kanimozhi

doi:10.1049/iet-pel.2013.0038

Cited by 29 publications

(3 citation statements)

References 25 publications

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“…Nonlinear phenomena in DC/AC inverters were first studied in [17], and border collision bifurcation occurred when varying the control parameters. Furthermore, Hopf bifurcation was also observed in DC/AC inverters, and it has been verified that Hopf bifurcation is also a route to chaos [18]. Reference [19] studied chaos and the coexistence of attractors' phenomena…”

Section: Introductionmentioning

confidence: 93%

Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System

Tang

Dai

et al. 2017

Energies

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This paper studies the complex bifurcation phenomena of a voltage-controlled Buck-inverter cascade system. A state-flow chart is drawn to illustrate the complex relations among the linear operating modes. Combined with the state transition function of each mode, the time response of the system can be obtained. For period-one steady state, the periodic mapping function and its fixed point are further derived, on the basis of which the Jacobi matrix is developed and its maximum eigenvalue is analyzed to understand the bifurcation diagram. By globally analyzing the state space using this cell mapping method, the coexistence of attractors is revealed in the Buck-inverter system. All theoretical results have been verified experimentally on a prototype system. The results obtained can be used for guiding the design and analysis of the Buck-inverter system. The analyzing method can be helpful for studying other power electronics systems with compound topologies.

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Section: Introductionmentioning

confidence: 93%

Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System

Tang

Dai

et al. 2017

Energies

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“…These phenomena can significantly jeopardize the system performance and can cause serious consequences on its reliability. Therefore, understanding these nonlinear phenomena, their analysis, prediction and control have increasingly become of great concern of many researchers all over the world [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. The major part of the analytical results on subharmonic oscillation in power electronics converters has been achieved for DC-DC converters [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter

et al. 2020

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This paper focuses on the steady-behavior of a differential boost inverter used for generating a sinewave AC voltage in rural areas. The analysis of its dynamics will be performed using an accurate approach based on discrete time models and Floquet theory and adopting a quasi-static approximation. In particular, the undesired subharmonic oscillation exhibited by the inverter will be analyzed and its boundary in the parameter space will be predicted and delimited. Combining analytical expressions and computational procedures to determine the quasi-static duty cycle, subharmonic oscillation is accurately predicted. It is found that subharmonic oscillation takes place at critical values of the sinewave voltage reference cycle, which can cause distortion to the input current and degrade the harmonic content of the output voltage. The results provide useful information for the design of the boost inverter to avoid distortion caused by subharmonic oscillation. Namely, the minimum value of the compensation slope and the maximum proportional gain of the AC output voltage controller guaranteeing a pure sinewave voltage and clean inductor current during the entire AC cycle will be determined. Numerical simulations performed on the switched model implemented using PSIM© software confirm the theoretical predictions.

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“…The existence of control delay and switching nonlinearity makes the digitally controlled power converter a strong nonlinear system. Thus, when the system parameters are not well designed, a complex bifurcation phenomenon may occur [19][20][21][22] and cause the system performance degradation or even lead to instability [20,21]. Because of the simplicity, flexibility, discrete nature, and inherent adaptation to the power electronic circuits, model predictive control (MPC) is also gradually utilized in the power converters [23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Modeling and Stability Analysis of Model Predictive Control Dual Active Bridge Converter

et al. 2019

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Digital control has been widely used in dual active bridge (DAB) converters, which are pivotal parts of electric vehicles and distributed generation systems. However, the time delays introduced by the digital control could affect the performance or even lead to the instability of the digitally controlled DAB converter. In order to reduce the effect of time delay on the dynamics and stability of the system, the model predictive control (MPC) of the DAB converter is proposed based on the discrete-time iteration in this paper to compensate for the digital control delay. According to the obtained discrete-time model, the instability mechanism of the MPC DAB converters with different parameters is revealed. The simulation and theoretical analysis indicate that this method could reduce the influence of the digital control delay and increase the stable range of the system compared with the conventional control strategy. The proposed method is also revealed to have a strong compatibility and portability. In addition, the accurately predicted stability boundaries can be applied to the practical parameter design and guarantee the stable operation of the system. The experimental results are consistent with the theoretical analysis and verify the proposed method.

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Period‐bubbling and mode‐locking instabilities in a full‐bridge DC–AC buck inverter

Cited by 29 publications

References 25 publications

Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System

Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System

Analysis of Subharmonic Oscillation and Slope Compensation for a Differential Boost Inverter

Modeling and Stability Analysis of Model Predictive Control Dual Active Bridge Converter

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