Three-phase pulsewidth-modulated converters require closed-loop controllers to meet the performance requirements and to achieve reliable responses over the entire operating range. Conventionally, by using the synchronous reference frame (SRF) representation, different linear and nonlinear control strategies have been proposed to improve the converter's dynamic performance. However, the achieved improvements cannot be objectively assessed due to the absence of a performance limit standard reference of the converter's dynamics. In this article, the theoretical minimum time solutions for three-phase converters in the SRF are derived and analyzed, providing an objective reference point for the system's dynamic performance evaluation. The normalized dynamic model of the converter in the SRF is derived and combined with the time-optimal control principle to find the theoretical minimum transient time solutions. The state-plane representation of these minimum time responses enables a straightforward and comprehensive interpretation of the converter's dynamic behavior, and it simplifies the derivation of closed-form expressions that characterize the minimum time transient parameters. The introduced analysis, minimum time dynamic responses, derived transient's expressions, and dynamic performance evaluation are validated by simulation and experimental results.

中文翻译：

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同步参考系中三相转换器的最小恢复时间瞬态


三相脉宽调制转换器需要闭环控制器来满足性能要求并在整个工作范围内实现可靠的响应。传统上，通过使用同步参考系（SRF）表示，已经提出了不同的线性和非线性控制策略来提高转换器的动态性能。然而，由于缺乏转换器动态性能限制标准参考，无法客观评估所取得的改进。本文推导并分析了SRF中三相变换器的理论最短时间解，为系统的动态性能评估提供了客观的参考点。推导了SRF中变换器的归一化动态模型，并结合时间最优控制原理，找到理论最小瞬态时间解。这些最小时间响应的状态平面表示可以对转换器的动态行为进行直接且全面的解释，并且简化了表征最小时间瞬态参数的封闭式表达式的推导。仿真和实验结果验证了所介绍的分析、最小时间动态响应、导出的瞬态表达式以及动态性能评估。