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

Abstract

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.

Photovoltaic Systems Based on Average Current Mode Control: Dynamical Analysis and Chaos Suppression by Using a Non-Adaptive Feedback Outer Loop Controller

“…Furthermore, on the curve in Figure 7a we notice that the boundary between period-1 oscillations and subharmonic oscillations is at V M = 0.4V. This result is significantly better than the findings of Kengne et al in [51], where they presented a current mode controller that uses a low-pass filter after the inductor current sensor. They showed that as the filter frequency tends towards infinity (i.e., no filter), the boundary between subharmonic oscillations and period-1 oscillations converges to V M = 0.5V.…”

“…They showed that as the filter frequency tends towards infinity (i.e., no filter), the boundary between subharmonic oscillations and period-1 oscillations converges to V M = 0.5V. This result shows that the average current mode control presented in this work is better for the stabilization of a photovoltaic converter string than the one developed by Kengne et al in [51]. We can also mention that, as with most works in the literature, appropriate linearization of the PV generator model does not affect the accuracy of the model in predicting the period-doubling bifurcation of the system.…”

Cost-effective high-gain DC-DC converter for elevator drives using photovoltaic power and switched reluctance motors

“…In (Lee et al, 2000), interleaved operation of two or more boost converters is presented in this study for high-power applications to increase output power and reduce output ripple (Lee et al, 2000;Kengne et al, 2023). Two structures, a switched-capacitor (SC)based boost converter and a two-level inverter, are connected in cascade in this article (Axelrod et al, 2005).…”