基于分数阶的反激变换器精细建模  

Fine modeling of flyback converter based on fractional order

作　　者：杨鹏 李倩 史善哲 符屹男 刘玉芝 YANG Peng;LI Qian;SHI Shanzhe;FU Yinan;LIU Yuzhi(State Grid Hebei Marketing Service Center Company Limited,Shijiazhuang,Hebei 050000,China;State Grid Hebei Electric Power Research Institute Company Limited,Shijiazhuang,Hebei 050000,China;School of Electrical and Electronic Engineering,Shijiazhuang Tiedao University,Shijiazhuang,Hebei 050043,China)

机构地区：[1]国网河北省电力有限公司营销服务中心,河北石家庄050000 [2]国网河北省电力有限公司电力科学研究院,河北石家庄050000 [3]石家庄铁道大学电气与电子工程学院,河北石家庄050043

出　　处：《河北科技大学学报》2024年第5期461-470,共10页Journal of Hebei University of Science and Technology

基　　金：国家自然科学基金(12072207);国网河北省电力有限公司科技项目(kj2022-015)。

摘　　要：针对传统建模方法无法更加精确地描述反激变换器真实特性的问题,利用分数阶微积分和状态空间平均法,对工作在电感电流断续模式下的分数阶反激变换器进行建模与分析。建立了电感电流断续模式下分数阶反激变换器的平均状态模型,得到其直流平衡点和小信号传递函数,对比其与整数阶数学模型的差异;在Simulink中搭建分数阶反激变换器的状态空间模型和电路仿真模型,以及构造分数阶反激变换器的实物实验电路;通过状态空间模型、电路模型仿真和实验结果三者对比验证所推导的分数阶模型的正确性。结果表明,分数阶数学模型能反映电感电容阶数的变化,进行理论分析能更符合该变换器的实际工作情况。将分数阶微积分理论与状态空间平均法结合,可建立更为精确的反激变换器数学模型,为其他变换器的建模提供了参考。Aiming at the problem that the traditional modeling methods cannot describe the real characteristics of flyback converters more accurately,the average state model of the fractional-order flyback converter operating in the intermittent inductance current mode was established by using fractional-order calculus and state space average method.The DC equilibrium point and small signal transfer function were obtained,and the difference between the model and the integer order mathematical model was compared.The state space model and circuit simulation model of fractional-order flyback converter were built in Simulink,and the experimental circuit of fractional-order flyback converter was constructed.The state space model,circuit model simulation and experimental results were compared to prove the correctness of the fractional-order model.The results show that the fractional order mathematical model can reflect the change of the order of inductance and capacitance,and the theoretical analysis is better consistent with the actual operation of the converter.A more accurate mathematical model of flyback converter can be established by combining fractional calculus theory with state space average method,which provides a reference for the modeling of other converters.

关 键 词：电力电子技术 电感电流断续模式 分数阶反激变换器 数值仿真 实物电路 

分 类 号：TM46[电气工程—电器]