In this paper, we exploit an idea of nonlinear modal series method to investigate the effects of modal interaction in the one-cycle controlled (OCC) double-input SEPIC DC–DC converter. Based on the proposed nonlinear averaged model, the analytical approximate solutions are obtained to characterize the dynamic response characteristic of the transient behaviors in the double-input SEPIC converters. The fundamental modal analysis is utilized to identify the dominant oscillation modes and discover the relationship between parameters, fundamental modes and state variables. Furthermore, the second-order interaction indices are proposed to uncover the underlying mechanism of nonlinear interaction behaviors. In particular, the correlation between parameters and modal interaction are derived to optimize the transient process of the double-input SEPIC converters. Finally, numerical simulations are performed to verify the theoretical analysis.

中文翻译：

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双输入 SEPIC DC-DC 转换器中模态交互对瞬态行为的影响

在本文中，我们利用非线性模态串联方法的思想来研究模态相互作用在单周期控制 (OCC) 双输入 SEPIC DC-DC 转换器中的影响。基于所提出的非线性平均模型，得到解析近似解来表征双输入SEPIC转换器瞬态行为的动态响应特性。基本模态分析用于识别主要振荡模式并发现参数、基本模式和状态变量之间的关系。此外，提出了二阶相互作用指数来揭示非线性相互作用行为的潜在机制。特别是，导出参数和模态交互之间的相关性以优化双输入SEPIC转换器的瞬态过程。最后，进行数值模拟以验证理论分析。