We present, for the first time, a formal stability proof for velocity control in induction motors fed by three-phase inverter-DC/DC Buck power electronic converters as power amplifier. Although our result is local, we take into account the complete dynamics of the induction motor and the three-phase inverter-DC/DC Buck power electronic converter system. Despite the complexity of the problem, our proposal is based on several proportional-integral control loops. The key to achieve this result is a novel passivity-based approach that we call energy-based control having a number of advantages over previous passivity-based approaches in the literature. An important problem that is considered is that of an unbalanced three-phase voltage source. This condition appears during the transient periods in the inverter-DC/DC Buck power electronic converter system. This is important because the standard models of induction motors are obtained under the assumption of a balanced three-phase voltage source.

我们首次提出了由三相逆变器-DC/DC 降压电力电子转换器作为功率放大器供电的感应电机速度控制的正式稳定性证明。尽管我们的结果是局部的，但我们考虑了感应电机和三相逆变器-DC/DC 降压电力电子转换器系统的完整动态。尽管问题很复杂，但我们的建议是基于几个比例积分控制回路。实现这一结果的关键是一种新颖的基于被动的方法，我们称之为基于能量的控制，与文献中先前基于被动的方法相比，它具有许多优势。考虑的一个重要问题是不平衡三相电压源的问题。这种情况出现在逆变器-DC/DC 降压电力电子转换器系统的瞬态期间。这很重要，因为感应电机的标准模型是在平衡三相电压源的假设下获得的。