| 引用本文: | 王擎宇,卢振坤,李 燕,马伏花,张安华.双线性DC/DC变换器混杂建模与优化控制[J].电力系统保护与控制,2020,48(19):17-24.[点击复制] |
| WANG Qingyu,LU Zhenkun,LI Yan,MA Fuhua,ZHANG Anhua.Hybrid modeling and optimal control of bilinear DC/DC converters[J].Power System Protection and Control,2020,48(19):17-24[点击复制] |
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| 摘要: |
| Boost、Buck-boost和Flyback等DC/DC变换器的连续时间状态空间模型实际上是由一组双线性微分方程来描述的，这类变换器控制的主要难点在于双线性项的处理和变换器所固有的混杂特性。对此，提出了一种针对这类DC/DC变换器的混杂建模和优化控制方法。该方法首先将开关周期等分为多个子周期，并通过迭代推导出变换器在开关周期内的离散时间状态更新函数。然后将双线性项在整个状态-输入空间内进行分段线性化处理，从而建立变换器的混杂模型。以Boost和Buck-boost DC/DC变换器为例，分别建立了其混杂模型，并进行了优化控制。最后通过实验对比分析了两种DC/DC变换器的优化控制效果，从而验证了该方法的通用性、有效性和优越性。 |
| 关键词: DC/DC变换器 双线性系统 混杂建模 优化控制 |
| DOI：DOI:10.19783/j.cnki.pspc.191435 |
| 投稿时间：2019-11-18修订日期：2020-04-08 |
| 基金项目:国家自然科学基金项目资助(61561008)；广西高校中青年教师科研基础能力提升项目资助(2020KY04027)；广西民族大学相思湖青年学者创新团队项目资助(2018 RSCXSHQN03)；广西民族大学人才引进项目资助(2018KJQD18) |
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| Hybrid modeling and optimal control of bilinear DC/DC converters |
| WANG Qingyu,LU Zhenkun,LI Yan,MA Fuhua,ZHANG Anhua |
| (College of Electronic Information, Guangxi University for Nationalities, Nanning 530006, China) |
| Abstract: |
| The continuous time state-space models of DC/DC converters such as Boost, Buck-boost and Flyback DC/DC can be expressed by a series of bilinear differential equations. The main difficulties in controlling these kinds of DC/DC converters arise from dealing with the bilinear term and the inherent hybrid nature of a DC/DC converter. To solve the problems, this paper proposes a hybrid modeling and optimal control approach. The switch period is first divided into multiple sub-periods so that the discrete-time state-update equation of the converter can be derived. Then the bilinear term which contains the whole state-update equation is linearized in a piecewise fashion. In this way the hybrid model of converter can be established. By taking a Boost converter and a non-inverting Buck-boost converter as research objects, their hybrid models are established, and then the optimal controls are carried out. Through the comparison of the control effects of the two DC/DC converters, the commonality, effectiveness and superiority of the proposed method are proved.
This work is supported by National Natural Science Foundation of China (No. 61561008), Basic Scientific Research Ability Improvement Project for Middle-young Teachers of Gunangxi Universities (No. 2020KY04027), Xiangsi Lake Young Scholars Innovation Team of Guangxi University of Nationalities (No. 2018RSCXSHQN03), and Introduction of Talent Project of Guangxi University of Nationalities (No. 2018KJQD18). |
| Key words: DC/DC converter bilinear system hybrid modeling optimal control |
