基于差分进化算法的SIMO Buck变换器最优动态响应搜索

李丹; 崔文峰; 陈桂鹏

doi:10.13700/j.bh.1001-5965.2023.0356

基于差分进化算法的SIMO Buck变换器最优动态响应搜索

doi: 10.13700/j.bh.1001-5965.2023.0356

李丹^{1, 2},
崔文峰³,
陈桂鹏^{1, 2, ,}

1.
厦门大学深圳研究院，深圳 518000
2.
厦门大学航空航天学院，厦门 361000
3.
浙江飞航智能科技有限公司，杭州 311100

基金项目:

广东省基础与应用基础研究基金(2022A1515011616)；国家自然科学基金(51907172)

详细信息

通讯作者:
E-mail：cgp2017@xmu.edu.cn

中图分类号: TM461
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- 文章访问数: 263
- HTML全文浏览量: 72
- PDF下载量: 15
- 被引次数: 0
出版历程
- 收稿日期: 2023-06-14
- 录用日期: 2023-09-27
- 网络出版日期: 2024-01-12
- 整期出版日期: 2025-05-31

Optimal dynamic response exploration for SIMO Buck converter based on differential evolution algorithm

LI Dan^{1, 2},
CUI Wenfeng³,
CHEN Guipeng^{1, 2
, ,}

1.
Shenzhen Research Institute of Xiamen University，Shenzhen 518000，China
2.
School of Aerospace Engineering，Xiamen University，Xiamen 361000，China
3.
Zhejiang Feihang Intelligent Technology Co.，Ltd.，Hangzhou 311100，China

Funds:

Guangdong Basic and Applied Basic Research Foundation (2022A1515011616); National Natural Science Foundation of China (51907172)

More Information

Corresponding author: E-mail：cgp2017@xmu.edu.cn

摘要

摘要:
随着单电感多输出(SIMO)直流变换器的广泛应用，其动态响应问题备受关注。为探究SIMO Buck变换器最优动态响应的理论极限，根据变换器工作原理建立数学模型，利用改进的差分进化(DE)算法进行搜索求解。所提方法可以搜索求解出不同目标下的变换器最优动态响应要求，如最优的自调节或交叉调节，还可以获得不同约束下的最优动态响应，如不同的动态响应时间、峰值电感电流。基于启发式DE算法的最优动态响应理论极限搜索，有助于全面了解SIMO直流变换器的动态性能，并指导控制器设计以优化动态响应过程。
- 单电感多输出直流变换器 /
- 动态响应 /
- 差分进化算法 /
- 自调节 /
- 交叉调节
Abstract:
With the widespread application of single-inductor multiple-output (SIMO) DC-DC converters, their dynamic response has much concern for domestic and foreign researchers. To explore the theoretical limit of the optimal dynamic response for the SIMO Buck converter, this paper first establishes a corresponding mathematical model according to the working principle of the converter, and then an improved differential evolution (DE) algorithm is employed to search out the solution. In addition, the suggested approach can investigate the best dynamic response with various goals, including the best self-regulation or cross-regulation. It is also possible to know the optimal dynamic response with different constraints, such as different dynamic response times and peak inductor currents. In order to completely recognize the dynamic performance of SIMO DC-DC converters, the theoretical limit exploration of optimal dynamic response based on the heuristic DE intelligent algorithm is useful. Ideally, this will direct the controller design in order to obtain an optimized dynamic response.
- single-inductor multiple-output DC-DC converters /
- dynamic response /
- differential evolution algorithm /
- self-regulation /
- cross-regulation

HTML全文

图 1 SIMO Buck变换器和工作波形

Figure 1. SIMO Buck converter and operation waveform

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图 2 SIMO Buck变换器的工作模态

Figure 2. Operation mode of SIMO Buck converter

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图 3 负载R₁变化时使用PI控制和多变量控制的占空比d₁～d_n和输出电压v₁～v_n示意图

Figure 3. Duty cycles d₁～d_n and output voltages v₁～v_n using PI control and multivariable control when load R₁ varies

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图 4 改进DE算法进化流程

Figure 4. Evolution process of improved DE algorithm

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图 5 2种切载情况下，动态响应时间为7个周期的最优动态响应时电感电流和输出电压波形

Figure 5. Inductor current and output voltage when the optimal dynamic response is achieved with 7 periods under two load variations

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图 6 2种切载情况下，最优自调节时的电感电流和电压波形

Figure 6. Inductor current and output voltage when the optimal self-regulation is achieved under two load variations

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图 7 2种切载情况下，最优交叉调节时的电感电流和电压波形

Figure 7. Inductor current and output voltage when the optimal cross-regulation is achieved under two load variations

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图 8 2种切载情况下，动态响应时间为6个周期的最优动态响应时电感电流和输出电压波形

Figure 8. Inductor current and output voltage when the optimal dynamic response is achieved with 6 periods under two load variations

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图 9 2种切载情况下，不同动态响应时间的最优动态响应时电压波动变化曲线

Figure 9. Voltage fluctuation curves when the optimal dynamic response is achieved with different time under two load variations

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图 10 不同峰值电感电流约束的最优动态响应下电压波动变化曲线

Figure 10. Voltage fluctuation curves when the optimal dynamic response is achieved with different limited maximum inductor current

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图 11 峰值电感电流约束为11.3000 A和11.8000 A时最优动态响应的电感电流和电压波形

Figure 11. Inductor current and output voltage when the optimal dynamic response is achieved with maximum inductor current limited to 11.30000 A and 11.80000 A

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表 1 变换器电路参数

Table 1. Circuit parameters of converter

参数	数值
输入电压V_in/V	25
额定输出电压V_{1_ref}/V	5
额定输出电压V_{2_ref}/V	10
额定输出电压V_{3_ref}/V	15
电感L/μH	500
电容C₁，C₂，C₃/μF	1500
输出负载电阻R₁/Ω	1
输出负载电阻R₂，R₃/Ω	5

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表 2 动态响应时间为7个周期时实现最优动态响应的占空比

Table 2. Duty cycles to achieve the optimal dynamic response when dynamic response time is 7 periods

切载	开关管	占空比
切载	开关管	T	2T	3T	4T	5T	6T	7T
4 Ω → 1 Ω	S₀	1.000	0.997	0.924	0.505	0.490	0.060	0.001
	S₁	0.827	0.438	0.509	0.448	0.435	0.444	0.496
	S₂	0.173	0.231	0.179	0.254	0.091	0.264	0.218
1 Ω → 4 Ω	S₀	0.000	0.000	0.000	0.000	0.140	0.535	0.992
	S₁	0.135	0.251	0.265	0.191	0.020	0.237	0.406
	S₂	0.188	0.348	0.269	0.248	0.504	0.401	0.240

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