电源学报2024，Vol.22Issue(2)：10-18,9.DOI:10.13234/j.issn.2095-2805.2024.2.10
基于预估-校正算法的分数阶Boost变换器倍周期分岔研究
Period Doubling Bifurcation of Fractional-order Boost Converter Based on Predictor-corrector Algorithm
摘要
Abstract
Based on the fact that inductance and capacitance are of fractional-order,the nonlinear dynamic characteristics of a fractional-order Boost converter are studied.The predictor-corrector model of the Boost converter is established using the predictor-corrector algorithm of fractional-order calculus.On this basis,the bifurcation diagrams with the reference current,input voltage and orders of capacitance and inductance as bifurcation parameters are obtained.The period doubling bifurcation and chaotic behaviors of the fractional-order Boost converter are studied,and its nonlinear dynamic behavior is compared with that of an integer-order Boost converter at the same time.Results show that under certain operating conditions,some nonlinear phenomena such as bifurcation and chaos will appear in the fractional-order Boost converter with changes in some circuit parameters.Under the condition of the same circuit parameters,the parameter stability domains of integer-and fractional-order converters are different.Compared with that of the integer-order converter,the parameter stability region of the fractional-order converter is smaller,which more truly reflects the nonlinear dynamic characteristics of the Boost converter.关键词
分数阶/Boost变换器/混沌/预估-校正算法/倍周期分岔Key words
Fractional-order/Boost converter/chaos/predictor-corrector algorithm/period doubling bifurcation分类
信息技术与安全科学引用本文复制引用
谢玲玲,杨雨晴,姚浚义,秦龙..基于预估-校正算法的分数阶Boost变换器倍周期分岔研究[J].电源学报,2024,22(2):10-18,9.基金项目
国家自然科学基金资助项目(61863003,61561007) （61863003,61561007）
广西自然科学基金资助项目(2019GXNSFAA245019)This work is supported by National Natural Science Foundation of China under the grant 61863003 and 61561007 （2019GXNSFAA245019）
Guangxi Natural Science Foundation Program under the grant 2019GXNSFAA245019 （）
