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

机译：电流模式控制的SIDO升压转换器的分叉分析和工作区域估计

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摘要

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.
机译：为了分析输入和输出电压变化时的稳定工作范围，研究了电流模式控制单电感双输出升压转换器的分叉行为和工作区域。首先推导了电感电流边界和一维离散映射模型。在模型的基础上，分析了分叉图和相应的李雅普诺夫指数谱。推导了转换器的两个过渡条件和边界方程，其工作状态从稳定状态转变为不稳定状态，其工作模式从连续导通模式（CCM）转变为不连续导通模式（DCM）。通过参数空间图可以估计和划分具有不同电路参数的工作区域，这对电路参数的设计和稳定性控制具有重要意义。提出了时域仿真和实验结果，以验证理论分析结果。研究结果表明，在电流模式控制的SIDO升压变换器中，存在三类分岔行为，包括周期倍增分岔，边界碰撞分岔和切向分岔。与以前的工作不同，SIDO升压转换器在发生边界冲突时具有特定的分叉趋势。趋势包括操作模式从CCM转换为DCM，然后又返回CCM，并且系统周期成倍增加或减少。

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