Stability Analysis of a Boost Converter with an MPPT Controller for Photovoltaic Applications

Aroudi, Abdelali El; Zhioua, M.; Al-Numay, Mohammed S.; Garraoui, Radhia; Hosani, Khalifa Al

doi:10.1007/978-3-319-30301-7_51

Cited by 3 publications

(6 citation statements)

References 6 publications

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“…However, there is an input capacitor filtering the output of the PV‐panel. Hence, the approach taken in References 24‐26 is not as general as that developed in this research.…”

Section: Literature Surveymentioning

confidence: 90%

“…It is important to note that in Figure 1, and the resulting mathematical model, there is no DC‐link capacitor between the PV panel and the boost converter. A real‐world system would include this capacitor and the resulting system would be modeled as a set of hybrid ODEs as in References 24‐26 and not a set of hybrid DAEs. The reason for not including the DC‐link capacitor is 2‐fold: Power systems and microgrids are often modeled as a set of DAEs 32 .…”

Section: Pv‐fed Boost Convertermentioning

confidence: 99%

“…In order to find the reduced monodromy matrix given in (26), we find Φ ON and Φ OFF by solving the variational equation for R = 37 Ω and R = 37.1 Ω. The saltation matrix is calculated in two manners.…”

Section: Maximum Power Point Trackingmentioning

confidence: 99%

“…The main author in References 4,23 contributed to References 24‐26 where they study the bifurcation behavior of a PV‐fed boost converter. In a similar manner to Reference 11, the conventional Filippov method is applied in order to find the eigenvalues of the monodromy matrix.…”

Section: Literature Surveymentioning

confidence: 99%

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Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs

Hayes

Condon

Giaouris

2020

Engineering Reports

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In this article, a method to study the nonlinear dynamics of a PV-fed boost converter is developed. The model for the solar panel introduces an algebraic constraint into the system and the resulting mathematical model is a set of hybrid differential algebraic equations (DAEs). The behavior of the system is observed to exhibit undesired operation as parameter values vary. Conventional mathematical tools developed to analyze DC-DC converters are not directly applicable to systems modeled as a set of hybrid DAEs. In order to find the monodromy matrix to assess the eigenvalues of the system, we modify the Filippov method to calculate the saltation matrix. The derived formula is general and versatile such that it can be applied to any PV-fed DC-DC converter irrespective of the topology or control algorithm employed. Two case studies are investigated: current mode control and maximum power point tracking. Each case study serves to demonstrate different considerations that must be taken into account when conducting stability analysis of hybrid-DAEs. K E Y W O R D S DC-DC converters, hybrid differential algebraic equations, maximum power point tracking, nonlinear dynamics, photovoltaic, saltation matrix This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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“…However, there is an input capacitor filtering the output of the PV‐panel. Hence, the approach taken in References 24‐26 is not as general as that developed in this research.…”

Section: Literature Surveymentioning

confidence: 90%

Section: Pv‐fed Boost Convertermentioning

confidence: 99%

Section: Maximum Power Point Trackingmentioning

confidence: 99%

Section: Literature Surveymentioning

confidence: 99%

See 2 more Smart Citations

Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs

Hayes

Condon

Giaouris

2020

Engineering Reports

View full text Add to dashboard Cite

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“…It is also used as a gate pulse under driver circuit MOSFET that is configured from the boost converter [30]. The converter also works for short circuit protection [31]. The present typology presents the same functions as SEPIC and the current output is a low-ripple voltage.…”

Section: Zeta Convertermentioning

confidence: 99%

Effect of Various Incremental Conductance MPPT Methods on the Charging of Battery Load Feed by Solar Panel

et al. 2021

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The presented work in this paper deals with various step sizes used in incremental conductance (INC) related to the maximum power point tracking (MPPT) technique. In the solar photovoltaic system, the variable step size selection method for INC is proposed and compared. The MATLAB/Simulink and hardware setup are used for assessing and analyzing step size methods. The variable step size (DVS), fixed step size (DFS) are comprehensively studied and compared. This DVS method is having a lower ON delay time () as 148 msec as regard to 164 msec in the DFS method. On the other hand, the lowest peak-peak oscillations in load current as 0.04 amp for DVS as compared to 0.5A for the DFS method, lower peak current as 1.96A for DVS as compare to 2.37A for the DFS method. In this way, the performance of the DVS method is found superior as it is analyzed and compared with the DFS algorithm.

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Bifurcation Analysis of a Photovoltaic Power Source Interfacing a Current-Mode-Controlled Boost Converter with Limited Current Sensor Bandwidth for Maximum Power Point Tracking

et al. 2023

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The presence of a high ripple in the inductor current of a DC-DC converter in a photovoltaic converter chain leads to a considerable decrease in the energy efficiency of the converter. To solve this problem, we consider a current-mode control and for economic reasons we used a single inductor current sensor with a low-pass filter. The purpose of the low-pass filter is to minimize the effect of ripple in the inductor current by taking only the DC component of the signal at the output of the sensor for tracking the maximum power point. The objective of this paper is therefore to study the stability of the photovoltaic system as a function of the filter frequency while maintaining a good power level. First, we propose a general modeling of the whole system by linearizing the PV around the maximum power point. Floquet theory is used to determine analytically the stability of the overall system. The fourth-order Runge–Kutta method is used to plot bifurcation diagrams and Lyapunov exponents in MATLAB/SIMULINK when the filter frequency varies in a limited range and the ramp amplitude is taken as a control parameter. Secondly, the PSIM software is used to design the device and validate the results obtained in MATLAB/SIMULINK. The results depicted in MATLAB/SIMULINK are in perfect agreement with those obtained in PSIM. We found that not only is the energy level maintained at the maximum power level of 85.17 W, but also that the stability range of the photovoltaic system increased with the value of the filter cut-off frequency. This research offers a wider range of parameters for stability control of photovoltaic systems contrarily to others found in literature.

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Stability Analysis of a Boost Converter with an MPPT Controller for Photovoltaic Applications

Cited by 3 publications

References 6 publications

Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs

Application of the Filippov Method to PV‐fed DC‐DC converters modeled as hybrid‐DAEs

Effect of Various Incremental Conductance MPPT Methods on the Charging of Battery Load Feed by Solar Panel

Bifurcation Analysis of a Photovoltaic Power Source Interfacing a Current-Mode-Controlled Boost Converter with Limited Current Sensor Bandwidth for Maximum Power Point Tracking

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