A generalized method for calculating the RMS values of switching power converters
A generalized method for calculating the RMS values of switching power converters
复制标题
计算开关电源变换器RMS值的通用方法
DOI：
10.1109/63.849031
复制
发表时间：
2000
期刊：
影响因子：
--
通讯作者：
N. Margaris
中科院分区：
文献类型：
--
作者：
G. Kostakis;S. Manias;N. Margaris
本文提出了一种分析方法，可以精确计算开关电源转换器状态空间变量的 RMS 值，其起点是开关网络的统一状态空间表示，最终结果是包含 DC 和 RMS 值的完整方程形式。本文提出的方法弥补了状态空间技术和偏离稳态的小信号近似之间存在的差距。与稳态值本身相比，纹波值可以忽略不计。提出了一种新的扩展电路模型，其固定拓扑包含任何 DC-DC 转换器的所有元件，无论其详细配置如何，并且可以通过该模型以表格的形式方便地存储在计算机数据库中来表征不同的转换器，从而为计算机辅助设计和优化提供有用的工具。最后，给出了降压、升压和降压-升压稳压器拓扑的示例。
In this paper an analytical method is presented which allows the exact calculation of the RMS value of the state space variables of a switching power converter, whose starting point is the unified state-space representation of the switched networks and the end result is a complete form of equations that include both the DC and RMS values. The method proposed in this paper bridges the gap which exists between the state-space technique and the small signal approximation that departs from the steady state. Ripple values are negligible, compared to the steady state values themselves. A new extended circuit model is proposed whose fixed topology contains all the elements of any DC-to-DC converter, regardless of its detailed configuration, and by which different converters can be characterized in the form of a table conveniently stored in a computer data bank to provide a useful tool for computer aided design and optimization. Finally, examples are given for buck, boost, and buck-boost regulator topologies.