通过小信号环路估计DC-DC开关变换器的大信号稳定区域预测

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摘要基于经典线性频域理论可设计DC-DC开关变换器的相对稳定性, 系统在小信号扰动下的工作特性得以简便地预测与校正。由于环路增益设计通常留有足够的稳态裕量, 因此闭环控制系统也可达到一定范围内的大信号稳定。本文以平均电流控制Boost变换器为典型研究对象, 通过建立Boost变换器的控制模型分析其大信号稳定性。借助范数不等式推导出Boost变换器的充分稳定条件, 以此估计出系统的稳定区域, 并揭示小信号环路增益对大信号稳定区域的影响。最后, 通过搭建实验样机验证了该思路的正确性。

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	刘宿城
	周雒维
	卢伟国
	毕凯

关键词 ：开关变换器, 环路增益, 稳定区域, 大信号稳定, Boost变换器

Abstract：The relative stability of switching converter could be designed based on the classic linear frequency-domain theory, and thus small-signal characteristic of the system is to be easily predicted and shaped. Meanwhile, the large-signal stability for the closed-loop system is also assured as the result of the sufficient stability margins in the design of the loop gains. Taking the average current mode controlled (ACMC) Boost converter as the typical object of study, this paper analyzes the large-signal stability of the Boost converter via its control model in this paper. In light of the Norm’s inequality, the sufficient stable condition for the Boost converter is derived and the stability region is predicted. Also, the effects of the small-signal loop gains on the large-signal stability region are revealed. Finally, the circuit prototype is built to verify the effectiveness of the presented approach.

Key words： Switching converter loop gain stability region large signal stability Boost converter

收稿日期: 2013-06-03 出版日期: 2014-06-27

PACS:

TM46

基金资助:国家自然科学基金重点项目(51137006)和中央高校基本科研业务费科研专项(CDJXS11151151)资助项目

作者简介: 刘宿城, 男, 1981年生, 博士研究生, 研究方向为电力电子系统的稳定性分析与控制; 周雒维, 男, 1954年生, 博士, 教授, 博士生导师, 研究方向为电力电子技术、电路理论及应用。

引用本文:

刘宿城, 周雒维, 卢伟国, 毕凯. 通过小信号环路估计DC-DC开关变换器的大信号稳定区域预测[J]. 电工技术学报, 2014, 29(4): 63-69. Liu Sucheng, Zhou Luowei, Lu Weiguo, Bi Kai. Prediction of Large-Signal Stability Region via Small-Signal Loops for DC-DC Switching Converters. Transactions of China Electrotechnical Society, 2014, 29(4): 63-69.

链接本文:

http://dgjsxb.ces-transaction.com/CN/Y2014/V29/I4/63

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