首页|分数阶移相全桥变换器的建模与优化控制

分数阶移相全桥变换器的建模与优化控制

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基于电路中的分抗元件具有非整数阶特性,利用分数阶微积分理论和状态空间平均法,对分数阶移相全桥变换器进行建模与优化控制分析.建立了移相全桥变换器的分数阶状态平均方程,研究电感和电容的分数阶特性对移相全桥变换器频域特性的影响.结合遗传算法的优点,得到满足误差绝对值积分的最优分数阶比例积分(PIλ)控制器参数与最优整数阶比例积分(PI)控制器参数,并搭建了分数阶移相全桥变换器的电路仿真模型与不同控制器的仿真模型,进行了不同控制器、不同工况和负载变化下电路仿真结果的比较.结果表明:相较于整数阶PI控制器,分数阶PIλ控制器能够提供更优的控制性能,使分数阶移相全桥变换器具有更快的响应速度、更好的稳态性能和更强的鲁棒性.
Modeling and optimal control of fractional-order phase-shifted full-bridge converter
Based on the fractional-order characteristics of components in the circuit,fractional calculus theory and state space averaging were used to model and optimize the control analysis of the fractional-order phase-shifted full-bridge converter.The fractional-order state-space averaging equations for the phase-shifted full-bridge converter were established,and the impact of the fractional-order characteristics of inductance and capacitance on the frequency domain characteristics of the converter was studied.Combining the advantages of genetic algorithms,the optimal parameters of the fractional-order PIλ controller and the optimal parameters of the integer-order PI controller that satisfy the integral of time-weighted absolute error index were obtained.Circuit simulation models for the fractional-order phase-shifted full-bridge converter and simulation models for different controllers were built.A comparison of the simulation results under different controllers,operating conditions,and load variations was carried out.The results indicate that,compared to the integer-order PI controller,the fractional-order PIλ controller can provide better control performance,enabling the fractional-order phase-shifted full-bridge converter to have faster response,better steady-state performance,and stronger robustness.

fractional-order phase-shifted full-bridge convertergenetic algorithmoptimal controlfractional order proportion integration control

陈新帅、刘玉芝、杨鹏、李倩

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石家庄铁道大学河北省交通电力网智能融合技术与装备协同创新中心,河北石家庄 050043

石家庄铁道大学电气与电子工程学院,河北石家庄 050043

国网河北省电力公司科技部,河北石家庄 050000

分数阶移相全桥变换器 遗传算法 最优控制 分数阶比例积分控制

国家自然科学基金国家电网河北省电力公司科技项目

1207021739kj2022-015

2024

广西大学学报(自然科学版)
广西大学

广西大学学报(自然科学版)

CSTPCD北大核心
影响因子:0.767
ISSN:1001-7445
年,卷(期):2024.49(1)
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