There are multiscale coupling relationships during the operation of dc/dc converters, where the macroscale is the overall working principle of the circuit and the microscale is the device mechanism model of the circuit components. Modeling only at the macroscale cannot reflect the effect of the device’s internal effects on the circuit, while modeling the device at the microscale cannot show the operating characteristics of the circuit. To obtain the analytical solutions of the state variables for dc/dc converters at circuit- and device-level scales, a method for establishing a multiscale model of a dc/dc converter is proposed. Firstly, the device mechanism at the microscale is appropriately combined with the circuit model at the macroscale. Secondly, the traditional piecewise switching function that represents the switching state is replaced by a continuous switching fitting function. Thereby, a continuous multiscale unified model of the dc/dc converter is reached. Afterward, by adopting the improved equivalent small parameter (ESP) method proposed in this article, the steady-state analytical solutions of the model in the open- and closed-loop states can be obtained, respectively. Finally, the steady-state analytical solutions are compared with the results of simulation and experiment.

中文翻译：

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基于器件机理模型和连续开关函数的升压转换器多尺度建模与分析

DC/DC转换器工作过程中存在多尺度耦合关系，其中宏观尺度是电路的整体工作原理，微观尺度是电路元件的器件机制模型。仅在宏观尺度建模不能反映器件内部效应对电路的影响，而在微观尺度建模器​​件不能显示电路的工作特性。为了在电路级和器件级获得 DC/DC 转换器状态变量的解析解，提出了一种建立 DC/DC 转换器多尺度模型的方法。首先，将微观尺度的器件机制与宏观尺度的电路模型适当结合。其次，代表开关状态的传统分段开关函数被连续开关拟合函数所取代。因此，达到了 dc/dc 转换器的连续多尺度统一模型。之后，采用本文提出的改进等效小参数（ESP）方法，分别得到模型在开环和闭环状态下的稳态解析解。最后，将稳态解析解与仿真和实验结果进行比较。可以分别得到模型在开环和闭环状态下的稳态解析解。最后，将稳态解析解与仿真和实验结果进行比较。可以分别得到模型在开环和闭环状态下的稳态解析解。最后，将稳态解析解与仿真和实验结果进行比较。