基于拉格朗日定理的平均法计算直流变换器非连续导通模式

Q3 Energy

Technical Electrodynamics Pub Date : 2023-06-15 DOI:10.15407/techned2023.04.019

Yu.V. Rudenko

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引用次数: 0

摘要

考虑了具有不连续导通模式的直流变换器输出电压纹波的计算特点。结果表明，利用输出电容器充放电过程的行为，可以利用拉格朗日定理平均变量的变换器数学模型来确定输出电容器上的电压脉动参数。指定的方法有助于显著简化计算并降低其劳动强度。在降压、升压和降压-升压型不连续导通模式下，获得了变换器主电路输出电压纹波值和纹波系数的解析和图形依赖关系。所开发的分析相关性使得能够使用可用的数学分析方法在转换器的设计阶段有效地计算转换器的参数并研究其特性。通过使用PSim软件包对转换器进行仿真，证实了所获得的分析比率和计算结果的可靠性。参考文献14，图4，表3。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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CALCULATION OF DC CONVERTERS IN DISCONTINUOUS CONDUCTION MODE USING THE AVERAGING METHOD BASED ON LAGRANGE THEOREM

The features of calculation of output voltage ripple in dc converters with discontinuous conduction modes are considered. It is shown that the use of behaviors of charge-discharge processes of the output capacitor makes it possible to determine the parameters of voltage pulsation on it, using a mathematical model of the converter with variables averaged using Lagrange's theorems. The specified approach contributes to the significant simplification of calculations and reduction of their labor intensity. Analytical and graphical dependences of the ripple value and the ripple coefficient of output voltage of main circuits of the converters in the mode of discontinuous conduction - buck, boost and buck-boost types - were obtained. The developed analytical dependencies make it possible to effectively calculate the parameters of the converters and investigate their properties at the stage of their design, using available methods of mathematical analysis. The reliability of the obtained analytical ratios and calculation results was confirmed by simulation of converters using the PSim package. References 14, figures 4, tables 3.

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来源期刊

Technical Electrodynamics Energy-Energy Engineering and Power Technology

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4 weeks