高级检索

基于分数阶线性自抗扰控制的LLC谐振变换器

Fractional-order Linear Active Disturbance Rejection Control for LLC Resonant Converters

  • 摘要: 针对LLC谐振变换器传统控制方式动态性能及抗扰动能力不足的问题,设计分数阶线性自抗扰控制器(FOLADRC)并应用于半桥LLC谐振变换器的闭环控制系统。基于扩展描述函数法建立LLC谐振变换器的小信号模型,经Matlab降阶处理得到系统传递函数;改进线性自抗扰控制器(LADRC)框架,移除相位滞后的跟踪微分器环节以消除动态响应延迟,采用PDμ控制器替代LADRC误差反馈控制律,引入分数阶PID(FOPID)微分阶次μ调节系统动态性能,使FOLADRC兼具LADRC抗扰性能与FOPID动态性能优势。推导FOLADRC传递函数后,通过Matlab绘制闭环系统伯德图,基于频域分析法验证控制器的稳定裕度。最后搭建额定功率为300 W的实验样机,对比测试PID,LADRC和FOLADRC 控制策略。结果表明:FOLADRC在加载和减载阶跃工况下,暂态调节时间较PID控制器分别缩短47.37%和60.00%,较LADRC分别缩短20.00%和31.03%,显著提升系统动态响应速度和抗干扰能力。本文研究通过分数阶控制与自抗扰理论的融合,为LLC谐振变换器性能优化提供了有效解决方案。

     

    Abstract: To address the issues of poor dynamic performance and weak disturbance rejection capability in LLC resonant converters under traditional control methods, a fractional linear order active disturbance rejection controller (FOLADRC) was designed and applied to the closed-loop control system of a half-bridge LLC resonant converter. Initially, the small-signal model of the LLC resonant converter was obtained through the extended describing function method, and the system transfer function was obtained through reduction in Matlab. Subsequently,the linear active disturbance rejection control (LADRC) framework was modified by eliminating the phase-lag-inducing tracking differentiator to mitigate dynamic response delays. Concurrently, the error feedback control law in LADRC was replaced with a PDμ controller, where the fractional-order differential term μ from the fractional-order PID (FOPID) controller was introduced to optimize system dynamic performance. This modification enabled the FOLADRC to simultaneously maintain the disturbance rejection capability of conventional LADRC and achieve the enhanced dynamic performance characteristic of FOPID control. The transfer function of FOLADRC was further derived, followed by the generation of closed-loop system Bode diagrams using Matlab to validate the controller's stability margin through frequency-domain analysis. Subsequently, a 300 W-rated experimental prototype was constructed where comparative tests were conducted employing PID, LADRC and FOLADRC control strategies. The results show that in the positive and negative load step response conditions, compared with the PID controller, FOLADRC shortens the transient adjustment time by 47.37% and 60% respectively. Compared with the LADRC, the transient adjustment time is shortened by 20% and 31.03% respectively, significantly improving the system’s dynamic response speed and anti-interference capability. This study provides an effective solution for optimizing the performance of LLC resonant converters through the integration of fractional-order control and active disturbance rejection theory.

     

/

返回文章
返回