驱动忆阻性负载逆变系统中Hopf分岔控制的研究

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驱动忆阻性负载逆变系统中Hopf分岔控制的研究

更新时间：2025-07-09

- 驱动忆阻性负载逆变系统中Hopf分岔控制的研究
- Issue 7, Pages: 38-49(2023)
- 作者机构：
  
  西安交通大学电气工程学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN60;TM464
- Published：2023
- 稿件说明：
移动端阅览
[J]. 2023, (7): 38-49.
DOI：

[J]. 2023, (7): 38-49. DOI：

摘要

针对驱动忆阻性负载逆变系统易发生Hopf分岔、导致系统出现振荡频率大于工频频率但远小于开关频率的不稳定现象，提出交流输出电压微分反馈控制方法，实现了对系统中Hopf分岔行为的有效控制。驱动忆阻性负载逆变系统因Hopf分岔引起的振荡现象属于慢尺度不稳定行为，因此建立了交流输出电压微分反馈控制下系统的平均模型，基于谐波平衡法求得系统变量的周期解，以Floquet理论揭示了系统中出现慢尺度不稳定行为的机理，给出了确保系统稳定运行的控制参数取值范围。此外，通过计算Floquet乘数对积分参数的敏感值，分析了交流输出电压微分反馈控制下系统在积分参数受到扰动时的抗干扰能力。研究结果表明：交流输出电压微分反馈控制方法可有效控制驱动忆阻性负载逆变系统中的Hopf分岔行为，能大幅度增加确保系统稳定的控制参数取值范围，并可增强系统的抗干扰能力。最后，通过PSpice仿真结果和电路实验结果的一致性，验证了理论分析的正确性和所提出的控制方法的有效性。

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