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。
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.
作者
王擎宇
卢振坤
李燕
马伏花
张安华
WANG Qingyu;LU Zhenkun;LI Yan;MA Fuhua;ZHANG Anhua(College of Electronic Information,Guangxi University for Nationalities,Nanning 530006,China)
出处
《电力系统保护与控制》
EI
CSCD
北大核心
2020年第19期17-24,共8页
Power System Protection and Control
基金
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(2018RSCXSHQN03)
广西民族大学人才引进项目资助(2018KJQD18)。
