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arXiv 2602.23593math.OC
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扰动自适应有限时间控制三相整流器

Disturbance-Adaptive Finite-Time Control of Three-Phase Rectifiers

Department of Electrical and Computer Engineering Center for Advanced Power Systems, Florida State University(佛罗里达州立大学电气与计算机工程系先进电力系统中心)

Koto Omiloli, Satish Vedula, Ayobami Olajube, Olugbenga Moses Anubi

AI总结:

本文提出了一种扰动自适应有限时间控制方法,用于三相整流器的快速电压和电流调节,通过自适应滑动面和非线性滑模调节器实现高精度和鲁棒性控制。

摘要:

三相交流-直流整流器是现代电力电子系统中的基本组件,然而在负载和电网扰动下实现快速电压调节和精确电流跟踪仍具挑战性,这归因于非线性动态和测量不确定性。本文提出了一种针对三相交流-直流整流器的有限时间控制方法,能够在变化条件下实现毫秒级的直流链电压和电网电流调节。所提出的设计采用了一种变换后的扩展误差-状态动态模型,将电压动态扩展为双状态系统,以构建一个自适应滑动面,以保证快速有限时间收敛。非线性滑模电压调节器配以在线扰动估计器确保快速且鲁棒的电压跟踪,而快速电流控制器实现有限时间dq轴电流跟踪,同时最小化振荡。理论结果确立了有限时间稳定性,并提供了显式的增益选择条件。仿真结果表明,与传统鲁棒控制器相比,电压和电流收敛时间分别减少了99.40%和87.5%。实验室实验进一步验证了该方法,显示与最近的方法相比,电压纹波降低了33.33%,上升时间加快了33.33%,稳态误差减少了32.43%。这些结果证实了在暂态性能、收敛性和整体系统稳定性方面的改进,突显了该方法在高性能整流器控制中的实用性。

英文摘要:

Three-phase AC-DC rectifiers are fundamental components in modern power electronics systems, yet achieving rapid voltage regulation and precise current tracking under load and grid disturbances remains challenging due to nonlinear dynamics and measurement uncertainties. This paper presents a finite-time control method for three-phase AC-DC rectifiers that achieves millisecond-scale regulation of DC-link voltage and grid currents under varying conditions. The proposed design employs a transformed augmented error-state dynamics model, extending the voltage dynamics to a two-state system to construct an adaptive sliding surface that guarantees fast finite-time convergence. A nonlinear sliding-mode voltage regulator with an online disturbance estimator ensures rapid and robust voltage tracking, while a fast current controller achieves finite-time dq-axis current tracking with minimal chattering. Theoretical results establish finite-time stability and provide explicit gain selection conditions. Simulation results demonstrate up to 99.40 per cent and 87.5 per cent reductions in voltage and current convergence times, respectively, compared to conventional robust controllers. Laboratory experiments further validate the approach, showing 33.33 per cent lower voltage ripple, 33.33 per cent faster rise time, and 32.43 per cent reduced steady-state error relative to a recent method. These results confirm improvements in transient performance, convergence, and overall system stability, highlighting the method's practical applicability for high-performance rectifier control.

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