电源学报

数字式多相DC-DC变换器稳定性分析

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朱健中国电源学会学生会员 ¹^,²^,³ , 胡耀华 ² , 李学宁 ³

电源学报 | DC-DC变换器 2025,23(5): 10-17

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电源学报 |DC-DC变换器 2025 , 23 (5) : 10 -17

数字式多相DC-DC变换器稳定性分析

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朱健中国电源学会学生会员¹^,²^,³, 胡耀华², 李学宁³

作者信息

^1.深圳大学电子与信息工程学院，深圳　518000

^2.东莞理工学院电子工程与智能化学院，东莞　523808

^3.东莞市长工微电子有限公司，东莞　523808

通讯作者:

朱健（1997—　），男，中国电源学会学生会员，通信作者，硕士研究生。研究方向：数字多相控制器集成电路。E-mail：545004134@qq.com。

作者简介:

胡耀华（1972—　），男，博士，教授。研究方向：预测控制理论及应用，电子设计自动化，智能装备开发设计，智能制造。E-mail：huyx@dgut.edu.cn。

李学宁（1963—　），男，博士，副教授。研究方向：功率器件和智能功率集成电路。E-mail：john.li@innovisionsemi.com。

Stability Analysis for Digital Multi-phase DC-DC Converter

Jian ZHU Student Member, CPSS¹^,²^,³, Yaohua HU², Xuening LI³

Affiliations

^1.School of Electronic and Information Engineering, Shenzhen University, Shenzhen 518000, China

^2.School of Electronic Engineering and Intelligence, Dongguan University of Technology, Dongguan 523808, China

^3.Innovision Semiconductor Inc., Dongguan 523808, China

出版时间: 2025-09-30 doi: 10.13234/j.issn.2095-2805.2025.5.10

文章导航

摘要

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微处理器的发展越来越迅速，随着输出电容及其等效串联电阻ESR（equivalent series resistance）逐渐减少，微处理器电源数字控制的优势逐渐受到重视。这些数字多相Buck变换器需要足够的稳定性，故研究了数字恒定导通时间多相控制器。首先通过数字补偿斜坡（在1个开关周期内斜率固定的斜坡）、总电感电流信息、输出电容两端电荷变化来推导系统的稳定性条件。然后通过稳定性条件得到补偿斜坡斜率的要求，其中需要考虑模数转换器ADC（analog-to-digital converter）采样延迟和电路传播延迟等因素的影响。针对多相的重叠和非重叠2种占空比进行分类分析可得出结论。通过SIMPLIS仿真，设计并调整最小补偿斜坡和实际的斜坡参数，得到仿真结果与推导的理论分析结果一致，说明了数字多相Buck变换器稳定性分析的准确性。

关键词

Buck变换器 / DC-DC多相控制器 / 恒定导通时间控制 / 数字控制 / 稳定性分析

Abstract

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With the rapid development of microprocessors, more and more attention is paid to the advantages of digital control of microprocessor power supplies as the output capacitor and its equivalent series resistance (ESR) are gradually reduced, and sufficient stability is required for these digital multi-phase Buck controllers. Digital constant on-time multi-phase controllers are studied. First, the stability conditions of the system are derived through a digital compensation ramp (i.e., a ramp with a fixed slope in one switching cycle), the total inductor current information and the charge changes at both ends of the output capacitor. Then, the requirements for the slope are obtained using the stability conditions, where the effects of analog-to-digital converter (ADC) sampling delay and circuit propagation delay are considered. Conclusions can be drawn by classifying and analyzing the overlapped and non-overlapped duty cycles. Based on SIMPLIS simulations and by designing and changing the minimum compensation slope and the actual slope parameters, it is found that the simulation results are consistent with the theoretical analysis results, showing the accuracy of stability analysis for the digital multi-phase Buck converter.

Key words

Buck converter / DC-DC multi-phase controller / constant on-time control / digital control / stability analysis

引用本文

朱健中国电源学会学生会员, 胡耀华, 李学宁. 数字式多相DC-DC变换器稳定性分析. 电源学报, 2025 , 23 (5) : 10 -17 . DOI: 10.13234/j.issn.2095-2805.2025.5.10

Jian ZHU, Yaohua HU, Xuening LI. Stability Analysis for Digital Multi-phase DC-DC Converter[J]. Journal of Power Supply, 2025 , 23 (5) : 10 -17 . DOI: 10.13234/j.issn.2095-2805.2025.5.10

参考文献

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2025年第23卷第5期

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文章信息

doi: 10.13234/j.issn.2095-2805.2025.5.10

接收时间：2022-10-09
首发时间：2026-10-26
出版时间：2025-09-30

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收稿日期：2022-10-09
修回日期：2022-12-15
录用日期：2023-01-19

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作者信息

^1.深圳大学电子与信息工程学院，深圳　518000

^2.东莞理工学院电子工程与智能化学院，东莞　523808

^3.东莞市长工微电子有限公司，东莞　523808

通讯作者:

朱健（1997—　），男，中国电源学会学生会员，通信作者，硕士研究生。研究方向：数字多相控制器集成电路。E-mail：545004134@qq.com。

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https://castjournals.cast.org.cn/joweb/dyxb/CN/10.13234/j.issn.2095-2805.2025.5.10

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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