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Stability Analysis for Digital Multi-phase DC-DC Converter
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Jian ZHU  Student Member, CPSS1, 2, 3, Yaohua HU2, Xuening LI3
Journal of Power Supply | 2025, 23(5) : 10 - 17
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Journal of Power Supply | 2025, 23(5): 10-17
• DC-DC Converters •
Stability Analysis for Digital Multi-phase DC-DC Converter
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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
Published: 2025-09-30 doi: 10.13234/j.issn.2095-2805.2025.5.10
Outline
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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.

Buck converter  /  DC-DC multi-phase controller  /  constant on-time control  /  digital control  /  stability analysis
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
Year 2025 volume 23 Issue 5
46
11
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doi: 10.13234/j.issn.2095-2805.2025.5.10
  • Receive Date:2022-10-09
  • Online Date:2026-10-26
  • Published:2025-09-30
Article Data
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History
  • Received:2022-10-09
  • Revised:2022-12-15
  • Accepted:2023-01-19
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
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表12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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