In this paper, the start-up response of a digitally controlled dc-dc boost converter with a constant power load is studied. A mathematical expression of the system response during start-up is derived using a nonlinear averaged model. The time-domain response of the system during start-up when the converter is operating under current limitation mode is derived by analytically integrating the mathematical equations describing the dynamic behavior. Numerical simulations from a detailed switched model validate the theoretical results and a good agreement is obtained. A boost converter prototype is built to validate the theoretical finding and the numerical simulations. It is observed that even when the analysis and the simulation predict zero inrush current, the experimental circuit still exhibits an unsuitable initial current peak and an unacceptable transient response during start-up. This phenomenon is mainly attributed to the presence of an unavoidable delay due to the computation time required by the digital control platform. The resulting inrush current is more pronounced in the presence of nonlinear load such as a CPL and saturable inductor. Some solutions are proposed to mitigate the inrush current problems. Simulations results taking into account the delay and experimental measurements demonstrate the validity of the proposed solutions.

中文翻译：

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具有恒定功率负载的数控升压转换器的启动响应分析和浪涌电流问题的缓解

在本文中，研究了具有恒定功率负载的数控 DC-DC 升压转换器的启动响应。使用非线性平均模型导出启动期间系统响应的数学表达式。当转换器在限流模式下运行时，系统在启动期间的时域响应是通过对描述动态行为的数学方程进行分析积分得出的。来自详细切换模型的数值模拟验证了理论结果并获得了良好的一致性。建立升压转换器原型以验证理论发现和数值模拟。据观察，即使分析和模拟预测零涌流，实验电路在启动期间仍然表现出不合适的初始电流峰值和不可接受的瞬态响应。这种现象主要归因于数字控制平台所需的计算时间导致不可避免的延迟的存在。在存在非线性负载（例如 CPL 和可饱和电感器）时，由此产生的浪涌电流更为明显。提出了一些解决方案来减轻浪涌电流问题。考虑到延迟和实验测量的模拟结果证明了所提出的解决方案的有效性。在存在非线性负载（例如 CPL 和可饱和电感器）时，由此产生的浪涌电流更为明显。提出了一些解决方案来减轻浪涌电流问题。考虑到延迟和实验测量的模拟结果证明了所提出的解决方案的有效性。在存在非线性负载（例如 CPL 和可饱和电感器）时，由此产生的浪涌电流更为明显。提出了一些解决方案来减轻浪涌电流问题。考虑到延迟和实验测量的模拟结果证明了所提出的解决方案的有效性。