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A Seminumerical Transient Analysis of Switched Capacitor Converters

机译：开关电容转换器的半数值瞬态分析

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The paper proposes an algebraic approach to transient analysis of switched capacitor converters (SCCs). To this end, the SCC is considered as an analog computer that solves the system of linear equations by an iterative method. The result of each iteration represents a point in the step response, whereas the function between the points is reconstructed. To simplify the derivation of the iterative method, each SCC topology is considered as a first-order circuit. The developed method is written as a recurrence relation and under certain conditions can be reduced to the well-known Kaczmarz method. The theoretical predictions were verified by simulations and experimentally and agree well with the results obtained by the equivalent resistance concept.
机译：本文提出了一种代数方法来对开关电容器转换器（SCC）进行瞬态分析。为此，将SCC视为通过迭代方法求解线性方程组的模拟计算机。每次迭代的结果代表阶跃响应中的一个点，而点之间的函数被重建。为了简化迭代方法的推导，每个SCC拓扑都被视为一阶电路。所开发的方法被写为递归关系，在某些情况下可以简化为众所周知的Kaczmarz方法。通过仿真和实验验证了理论预测，并与等效电阻概念获得的结果非常吻合。

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