Bubbling in a power electronic inverter: Onset, development and detection

Аврутин, Виктор; Morcillo, José D.; Zhusubaliyev, Zhanybai T.; Angulo, Fabiola

doi:10.1016/j.chaos.2017.08.003

Cited by 8 publications

(5 citation statements)

References 25 publications

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“…∀t (18) where the overhat stands for small signal variations. Its eigenvalues are called the characteristic multipliers or Floquet multipliers and it can be seen that they determine the amount of contraction or expansion near a periodic orbit and hence they determine the stability of these periodic orbits.…”

Section: Accurate Stability Analysis Using Floquet Theorymentioning

confidence: 99%

“…For instance, for k p = 0.4, it can be clearly seen that there is a certain phase interval within the first half of the sinewave cycle during which the duty cycle waveforms is disrupted. Namely, within the phase interval defined by two critical phase angles, two different branches of duty cycle values appear instead of one a kind of bubble emerges [18]. It can be observed that the onset of bubbling phenomenon depicted in Figure 5 is gradual.…”

mentioning

confidence: 94%

“…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%

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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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Section: Accurate Stability Analysis Using Floquet Theorymentioning

confidence: 99%

mentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

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

et al. 2020

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“…The nonlinear modeling of pulse width modulated DC-DC converters is relatively simple in the sense that their behavior is governed by a single constant switching frequency. In contrast, the dynamics of AC-DC rectifiers and DC-AC inverters are governed by two vastly distant frequencies: the switching high frequency f s and the grid low frequency f g [19][20][21][22][23][24][25]. Their nonlinear modeling is therefore mathematically more involved.…”

Section: Introductionmentioning

confidence: 99%

Fast-Scale Instability and Stabilization by Adaptive Slope Compensation of a PV-Fed Differential Boost Inverter

et al. 2021

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Numerical simulations reveal that a single-stage differential boost AC module supplied from a PV module under an Maximum Power Point Tracking (MPPT) control at the input DC port and with current synchronization at the AC grid port might exhibit bifurcation phenomena under some weather conditions leading to subharmonic oscillation at the fast-switching scale. This paper will use discrete-time approach to characterize such behavior and to identify the onset of fast-scale instability. Slope compensation is used in the inner current loop to improve the stability of the system. The compensation slope values needed to guarantee stability for the full range of operating duty cycle and leading to an optimal deadbeat response are determined. The validity of the followed procedures is finally validated by a numerical simulations performed on a detailed circuit-level switched model of the AC module.

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“…12 A comprehensive analysis of voltage-mode controlled (VMC) H-bridge inverter connected to a resistive load by Filippov's method, Floquet theory, state-space averaged model, and 1-D discrete time map were reported. [2][3][4]13,14 Stability boundaries were drawn in power and control circuit parameter spaces, and mechanisms of onset of Hopf/ Neimark-Sacker, period-doubling (PD) bifurcations as well as bubbling 15,16 were demonstrated. PD bifurcation was found in one-cycle controlled inverter 17 and differential boost inverter 18 with resistive load.…”

mentioning

confidence: 99%

A Filippov method based analytical perspective on stability analysis of a DC‐AC H‐bridge inverter with nonlinear rectifier load

Bandyopadhyay

Mandal

Parui

2022

Circuit Theory & Apps

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Summary A comprehensive analysis of an inverter with nonlinear rectifier load by Filippov's method and state‐space averaged method considering nonidealities have been reported for the first time. A study in comparison with an equivalent linear AC resistance load reveals that even though qualitative behavior remains similar, earlier onset of Hopf bifurcation and delayed onset of period‐doubling bifurcation occur. This proves the necessity of modeling the nonlinear load at a switched system level, instead of linearizing it based on the first harmonic approximation which ignores the capacitor after rectifier and reduces the order of the system from four to three. Hopf bifurcation takes place with increase in capacitance after rectifier, along with corresponding decrease in its equivalent series resistance (ESR), limiting the selection of capacitors to lower values. However, ESR compensation solves this problem by preventing the onset of Hopf bifurcation and use of ESR compensated capacitor of higher values result in significant increase, instead of reduction in overall stable domain in parameter spaces. Analytical results have been corroborated by numerical simulation results.

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Bubbling in a power electronic inverter: Onset, development and detection

Cited by 8 publications

References 25 publications

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

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

Fast-Scale Instability and Stabilization by Adaptive Slope Compensation of a PV-Fed Differential Boost Inverter

A Filippov method based analytical perspective on stability analysis of a DC‐AC H‐bridge inverter with nonlinear rectifier load

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