An analysis of the transient behavior of dc networks consisting of voltage sources, capacitors, and series loss-free resistors (SLFRs) is presented. The realization of an SLFR was achieved by means of a topological variation of the positive output voltage buck-boost converter operated in discontinuous-conduction mode. It is demonstrated that even simple RC circuits containing SLFRs exhibit behavior that is described by Abel nonlinear differential equations, which do not have an exact analytical solution. Some possible applications of the SLFRs in power electronics, dc microgrids, and renewable energy power systems include loss-free charge and discharge of capacitor banks, voltage equalization of capacitors, and loss-free voltage clamping circuits. The concept of the SLFR can also be applied for voltage control in dc microgrids, employing the droop voltage technique, equalization of power and current in voltage sources associated in parallel (including batteries and dc-dc converters), and also input and output voltage natural balance in input-series output-series association of dc converters. The theoretical analysis results are validated via numerical examples and computer simulation.

中文翻译：

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串联无损耗电阻器：分析、实现和应用


对由电压源、电容器和串联无损耗电阻器 (SLFR) 组成的直流网络的瞬态行为进行了分析。 SLFR 的实现是通过在不连续导通模式下运行的正输出电压降压-升压转换器的拓扑变化来实现的。事实证明，即使是包含 SLFR 的简单 RC 电路也表现出由阿贝尔非线性微分方程描述的行为，该方程没有精确的解析解。 SLFR 在电力电子、直流微电网和可再生能源电力系统中的一些可能应用包括电容器组的无损耗充电和放电、电容器的电压均衡和无损耗电压钳位电路。 SLFR 的概念还可应用于直流微电网中的电压控制，采用下垂电压技术、并联电压源（包括电池和 DC-DC 转换器）中的功率和电流均衡，以及输入和输出自然电压直流转换器的输入串联输出串联关联的平衡。通过数值算例和计算机模拟验证了理论分析结果。