Bifurcation analysis and operation region estimation of current‐mode‐controlled SIDO boost converter

Abstract

To analyse the stable operation range with varied input and output voltages, bifurcation behaviours and operation region of current-mode-controlled single-inductor dual-output (SIDO) boost converter are investigated. The inductor current borders and one-dimensional discrete-mapping model are deduced firstly. On the basis of the model, the bifurcation diagram and corresponding Lyapunov exponent spectrum are analysed. Two transition conditions and boundary equations of the converter are derived, where its working state transits from stability to instability, and its operation mode shifts from continuous conduction mode (CCM) to discontinuous conduction mode (DCM). The operation region with different circuit parameters can be estimated and divided through the parameter space maps, which is significant for the design of circuit parameters and stability control. Time-domain simulations and experimental results are presented to verify the theoretical analysis results. The research results show that the three kinds of bifurcation behaviours including period-doubling bifurcation, border collision bifurcation, and tangential bifurcation exist in the current-mode-controlled SIDO boost converters. Different from the previous works, the SIDO boost converter has a particular bifurcation trend when border collisions occur. The trend includes that operation mode shifts from CCM to DCM and then backs to CCM, and system period increases or decreases doubly.

Unified modelling and dynamical analysis of current‐mode controlled single‐inductor dual‐output switching converter with ramp compensation

“…According to the relation between falling slopes of inductor currents m 2 and m 3 , the ramp compensation for I ref2 is given for The unified discrete-mapping model of current-mode controlled SIDO switching converters with ramp compensation can be obtained by sampling inductor current synchronously at each switching cycle [9,23,24] (see 8)3 Non-dimensional unified model and bifurcation analysis…”

“…Thus, the non-dimensional unified model of current-mode controlled SIDO switching converters can be rewritten as (see (9)) where…”

“…It is a suitable and cost-effective solution to use a single-inductor multiple-output switching converter in portable devices [4][5][6], which can provide multiple voltage levels with only one inductor. As a typical case, the single-inductor dual-output (SIDO) switching converter is studied, which has relatively highconversion efficiency, but complex non-linear dynamics behaviours found in the system [7][8][9][10], which have great influence on its stability. Therefore, in-depth studying the dynamic behaviour of the SIDO switching converter is very useful to improve its various properties, such as working range, stability, conversion efficiency, and so on.…”

“…The operating regions of the current-mode controlled SIDO boost converter are also clearly divided in [9] and the non-smooth bifurcation behaviours of a pulse-width modulation (PWM) interleaved controlled SIDO buck-boost converter with current feedback are analysed in [10]. However, the discrete-mapping model and dynamical analysis are incomplete as other topologies have not ever been mentioned yet.…”

Quantifying the Nonlinear Dynamic Behavior of the DC-DC Converter via Permutation Entropy

“…Direct current-direct current (DC-DC) switching converters are a typical nonlinear system that enable the observation of nonlinear behaviors, such as period-doubling bifurcation, border collision bifurcation, frequency-locking phenomenon, quasi-period, and chaos [1][2][3][4][5]. The study of nonlinear behaviors is helpful for improving the performance of DC-DC converters.…”