As a classical control algorithm for grid-connected ac–dc converters, the conventional proportional–integral (PI) based direct power control (DPC) has several disadvantages, including the complexity of tuning PI parameters and poor dynamic performance. To tackle those drawbacks, this study presents a simple model predictive power control (MPPC) scheme with pulse-width modulation stage for single-phase ac–dc converters. Distinct from previous MPPC schemes, the proposed approach is formulated in terms of the terminal trajectory of modulated voltage vector, which is defined as an elliptic region. From the elliptical trajectory point of view, the proposed approach applies a cost function to predict an optimal radius of elliptic trajectory instead of the outputs of inner-loop PI controllers in PI-based DPC. To solve the parameter sensitiveness problem of MPPC schemes, a quantitative relationship between the predicted powers and their references considering inductance mismatch is analysed in detail. Then, an inductance estimation method is developed according to the analysis. A comprehensive experimental comparison with conventional PI-based DPC, and finite-control-set MPPC schemes have been conducted to verify the effectiveness of the proposed scheme.

中文翻译：

---

并网交流-直流转换器的模型预测功率控制，以及调制电压矢量的轨迹优化

作为用于并网AC-DC转换器的经典控制算法，传统的基于比例积分（PI）的直接功率控制（DPC）具有许多缺点，包括PI参数调整的复杂性和较差的动态性能。为了解决这些缺点，本研究提出了一种用于单相AC-DC转换器的具有脉宽调制级的简单模型预测功率控制（MPPC）方案。与以前的MPPC方案不同，该提议的方法是根据调制电压矢量的终端轨迹（被定义为椭圆区域）制定的。从椭圆轨迹的角度来看，所提出的方法将成本函数应用于预测椭圆轨迹的最佳半径，而不是基于PI的DPC中的内环PI控制器的输出。为了解决MPPC方案的参数敏感性问题，详细分析了考虑电感失配的预测功率与其参考之间的定量关系。然后，根据分析结果发展出一种电感估计方法。与常规的基于PI的DPC和有限控制集MPPC方案进行了全面的实验比较，以验证该方案的有效性。