To avoid oscillation phenomena of the interleaved buck converter with coupled inductors (IBCCIs) under continuous conduction mode (CCM), the stability of IBCCI is analyzed in this article. First, a bilinear discrete-time model of the IBCCI is established, and the effect of converter and controller parameters on stability can be revealed based on bifurcation diagrams, Jacobian matrix, and eigenvalue locus. The established model can accurately predict the dynamic performance. Besides, the stable boundary of the system is derived, considering system parameters such as self-inductance, mutual inductance, and the proportional integral (PI) controller parameters. The boundary can guide the design of converter and controller parameters. What is more, the effect of coupled inductors on stability has been clearly exhibited by comparing the IBCCI and interleaved buck converter without coupled inductor. Finally, the simulation and experimental results are conducted to verify the effectiveness and feasibility of the analysis.

中文翻译：

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耦合电感交错降压转换器的稳定性分析

为了避免耦合电感交错式降压转换器（IBCCI）在连续导通模式（CCM）下出现振荡现象，本文对IBCCI的稳定性进行了分析。首先，建立了IBCCI的双线性离散时间模型，根据分​​岔图、雅可比矩阵和特征值轨迹，可以揭示转换器和控制器参数对稳定性的影响。建立的模型可以准确地预测动态性能。此外，考虑自感、互感和比例积分（PI）控制器参数等系统参数，推导出系统的稳定边界。该边界可以指导转换器和控制器参数的设计。更，通过比较 IBCCI 和没有耦合电感的交错降压转换器，可以清楚地展示耦合电感对稳定性的影响。最后通过仿真和实验结果验证了分析的有效性和可行性。