Bifurcation and chaos in high-frequency peak current mode Buck converter

Abstract

Bifurcation and chaos in high-frequency peak current mode Buck converter working in continuous conduction mode (CCM) are studied in this paper. First of all, the two-dimensional discrete mapping model is established. Next, reference current at the period-doubling point and the border of inductor current are derived. Then, the bifurcation diagrams are drawn with the aid of MATLAB. Meanwhile, circuit simulations are executed with PSIM, and time domain waveforms as well as phase portraits in i L -v C plane are plotted with MATLAB on the basis of simulation data. After that, we construct the Jacobian matrix and analyze the stability of the system based on the roots of characteristic equations. Finally, the validity of theoretical analysis has been verified by circuit testing. The simulation and experimental results show that, with the increase of reference current I ref , the corresponding switching frequency f is approaching to low-frequency stage continuously when the period-doubling bifurcation happens, leading to the converter tending to be unstable. With the increase of f , the corresponding I ref decreases when the period-doubling bifurcation occurs, indicating the stable working range of the system becomes smaller.

Dynamical analysis of boundary behaviors of current-controlled DC–DC buck converter

“…The current-controlled DC-DC buck converter, improved from the traditional asynchronous switching buck converter, is sketched in Fig. 1, where a resistive load and an inductor current controlled switching buck converter are used, including a low-dropout power MOS tube that is a substitute of the freewheeling diode to solve the problem of large forward voltage drop of the freewheeling diode [13]. This converter contains two dynamic components, an inductance L and a capacitance C, corresponding to two state variables,i L and v C .The synchronous state switching between two same MOS tubes, i.e.,S 1 and S 2 , is controlled by the inductor current feedback link.…”

“…The switching DC-DC converters, such as buck, boost and buck-boost, have a strongly nonlinear dynamical behaviors, including period doubling bifurcation [9], boundary collision bifurcation [10,11], and chaos [12], etc. For example, the nonlinear behaviors of high frequency peak current buck converter were studied to reveal the relationship between switching frequency and system stability through the bifurcation diagrams and phase portrait [13]. The subharmonic instability of the constant-frequency peak-currentcontrolled buck, boost converters were investigated and verified experimentally with closed voltage feedback loop in [14,15].…”

Robust adaptive prescribed performance control for a class of nonlinear pure‐feedback systems

“…In recent decades, the power converter control technology shown in Figure 1 has been successfully applied to various household appliances and various communication systems; it also have become a very popular research direction and theoretical research object. [42][43][44] The purpose of the research is mainly based on the average model of the power converter system, in the case of known or unknown resistance R, the controller is designed to stabilize the global states of the system or complete tracking problem of voltage V s . The averaged model of such a converter is shown to be the following:…”

Modes of Bifurcations, Chaos, and Undamped Oscillations in a Buck Converter with Feedback and Their Synchronizing

“…There, three independent cases are compared: the mathematical model simulated in Matlab, the circuit built from components that exist in reality and simulation in PSpice as well as a laboratory experiment. In [18] bifurcation and chaos in high-frequency peak current mode buck converter working in continuous conduction mode (CCM) are studied : a two-dimensional discrete mapping model is established, reference current at the period-doubling point and the border of inductor current are derived and the bifurcation diagrams are drawn with the aid of MATLAB. Furthermore, circuit simulations are executed with PSIM.…”