带有电流参考补偿器的升压变换器的简化混合逻辑动态模型及模型预测控制

H. Ren, Miao-miao Zheng, Jie Li
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引用次数: 13

摘要

本文提出了一种简化的DC-DC升压变换器混合逻辑动态(MLD)模型,该模型使用较少数量的二元变量和连续变量。在模型预测控制(MPC)的基础上,利用简化的MLD模型,构造并求解了约束优化问题。由MPC导出的优化开关信号调节输出电压。变换器的MLD建模在不使用近似和线性化的意义上是准确的,因此,性能不依赖于工作点。由于MPC的代价函数中存在约束项,控制器保证了变换器的最优性能。这些特点是传统的小信号线性化模型和线性系统理论设计的控制器所不具备的。由于MPC的基准电流依赖于不确定参数,提出了PI补偿器对基准电流进行调整,以减小输出电压的稳态误差。为了比较,将传统PI控制器和[12]中提出的方法与本文提出的方法进行了比较。本文采用遗传算法对PI参数进行优化。仿真结果表明了该方法的有效性和优越性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A simplified Mixed Logical Dynamic model and Model Predictive Control of Boost converter with current reference compensator
We present a simplified Mixed Logical Dynamic (MLD) model for DC-DC Boost converter using less number of binary variables and continuous variables. A constrained optimal problem is formulated and solved based on Model Predictive Control (MPC) using the simplified MLD model. The optimized switching signal derived by the MPC regulates the output voltage. The MLD modeling of the converter is accurate in the sense of no approximation or linearization being used, therefore, the performance does not depend on the working point. The controller guarantees the optimal performance of the converter because of the constrained items in the cost function of MPC. These features are impossible for the conventional controller designed by the small signal linearized model and the linear system theory. Due to the current reference of the MPC depending on the uncertain parameters, a PI compensator is proposed to adjust the current reference to reduce steady state error of the output voltage. For comparison purpose, the traditional PI controller and the approach proposed in [12] are compared to the proposed method. All PI parameters in this paper are optimized using Genetic Algorithm. Simulation results show the effectiveness and superiority of the proposed method.
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