霍尔传感器对Buck变换器滑模控制系统的影响分析
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哈尔滨工业大学

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中图分类号:

TP273

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Influence of Hall Sensor on Buck Converters with Sliding Mode Control
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Affiliation:

Harbin Institute of Technology

Fund Project:

The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    针对霍尔传感器的未建模动态和滑模控制器的非线性,研究两者的共同作用对Buck变换器谐波性能的影响.基于变换器的数学模型和Lyapunov稳定性定理,给出传统滑模控制器参数的整定方法;并在此基础上,利用描述函数法和奈奎斯特稳定性判据,分析了常规忽略传感器作用下的系统稳定性.真实考虑霍尔传感器的测量性能, 建立Buck变换器-传感器的联合数学模型,利用奈奎斯特稳定性判据推导出保证系统临界稳定的约束条件,理论证明了霍尔传感器诱发谐波的必然性,并揭示了滑模控制器参数和传感器参数对系统谐波幅频性能的数学影响关系.仿真结果证明所提方法的正确性和有效性.

    Abstract:

    For the sliding mode (SM) controlled buck converters, this paper investigates the harmonic influence of Hall sensor’s unmodeled dynamics and the nonlinearity of SM controller.Based on the model of buck converters, the system’s stability is analyzed and the parameter tuning of the traditional SM controller is carried out on the basis of Lyapunov stability theory. On the premise of the ignored sensor, the system’s stability is analyzed by describing function method and Nyquist stability criterion. Considering the characteristics of Hall sensor, the model of converter-sensor is established. Restricted by the system critical stability, the constraint condition is deduced, proving the existence of harmonics induced by Hall sensor. Meanwhile, the relationship of the SM parameter and the sensor’s parameter with the amplitude and frequency of the outputted harmonics is investigated. Simulations validate the proposed approach.

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  • 收稿日期:2021-04-17
  • 最后修改日期:2021-07-19
  • 录用日期:2021-07-29
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