【摘要】 含桥式整流滤波电路的谐振DC-DC变换器可视为一类忆阻电路。然而，现有模型常忽略电路变量的谐波分量且将整流滤波电路等效为电阻，故难以准确描述混合调制谐振DC-DC变换器的瞬态、稳态响应与忆阻特性，给混合控制策略的设计和动力学分析带来困难。为此，提出一种基于S型函数的谐振DC-DC变换器忆阻电路动态模型。首先用S型函数对开关信号进行光滑化处理，建立可统一描述不同调制方式下开关网络的准确模型；接着，用受控源二端口网络等效表示整流桥，推导出整流滤波电路的忆阻器模型。最后，以串联谐振DC-DC变换器为例，建立其忆阻电路动态模型并进行仿真和实验验证。结果表明：相比其他模型，所提模型能更准确地描述混合调制谐振DC-DC变换器的动静态特性，为应用连续系统理论进行分析和控制奠定基础。更多还原

【Abstract】 Resonant DC-DC converters with bridge rectifier filter circuits are regarded as a type of memristive circuit. However, existing models often neglect the harmonic components of circuit variables and equivalently treat the rectifier-filter circuit as a resistor. Therefore, it is difficult to accurately describe the transient and steady-state responses and memristive characteristics of the hybrid modulation resonant DC-DC converter, which poses challenges for the design of hybrid control strategies and the analysis of its dynamic behavior. Therefore, a memristive circuit dynamic model was proposed based on sigmoid functions for resonant DC-DC converters. Firstly, sigmoid functions were used to smooth the switching signals and establish an accurate model that can uniformly describe the switching networks under different modulation methods. Then, the rectifier bridge was represented equivalently by a controlled-source two-port network, and the memristor model of the rectifier filter circuit was derived. Finally, taking a series resonant DC-DC converter as an example, a memristive circuit dynamic model was established, and simulation and experimental verification were carried out. The results indicate that, compared to other models, the proposed model can describe the dynamic and static characteristics of the resonant DC-DC converter under hybrid modulation more accurately, laying the foundation for the application of continuous system theory to analyze and control.更多还原