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首页> 外文期刊>European Journal of Control >Optimal control strategy of an induction motor for loss minimization using Pontryaguin principle
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Optimal control strategy of an induction motor for loss minimization using Pontryaguin principle

机译:基于Pontryaguin原理的损耗最小化感应电动机的优化控制策略。

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This paper presents a new design of loss-minimization optimization control for Induction Machine (IM) drives. It describes a closed-loop optimal control law and exploits the Pontryagin principle to get optimal energy consumption. This proposal is based on the Optimal Control Problem (OCP) which focuses on minimizing a cost function given as an integral of a weighted sum of the mechanical power, copper losses and magnetic power of the IM. In order to minimize the IM energy consumption, we consider a normalized cost function with respect to the optimization finite-interval [0,T]. This functional is subjected to dynamic constraints which are developed from a reduced IM model. The system depends on two state variables: the rotor flux and the motor speed. The proposed method provides an optimal rotor flux that performs the minimal energy consumption of an IM along a given torque and velocity. This OCP conducts to a system of combined nonlinear differential equations of state and co-state variables. Long and hard developments lead to many calculus steps. Finally, an optimal time-varying rotor flux is successfully turned out. This OCP satisfies also abrupt torque conditions and can cover dynamic operations when the proposed solution fulfills some criteria of sub-optimality. The validity of the suggested optimal control design is tested via simulation and then via experimental results by comparing a dynamic control law using the proposed optimal rotor flux trajectory with a conventional control utilizing the rated flux value. (C) 2019 European Control Association. Published by Elsevier Ltd. All rights reserved.
机译:本文提出了一种用于感应电机(IM)驱动器的损耗最小化优化控制的新设计。它描述了一个闭环最优控制律,并利用庞特里亚金原理来获得最优能耗。该提议基于最优控制问题(OCP),该问题的重点是使成本函数最小化,该成本函数是IM的机械功率,铜损和磁功率的加权和的整数。为了最小化IM能耗,我们考虑关于优化有限间隔[0,T]的归一化成本函数。该功能受到动态约束的限制,而动态约束是通过简化的IM模型开发的。该系统取决于两个状态变量:转子磁通和电动机速度。所提出的方法提供了最佳的转子磁通,该转子磁通沿着给定的扭矩和速度执行了IM的最小能耗。该OCP传导到状态和共态变量的组合非线性微分方程的系统。长期而艰苦的发展导致许多演算步骤。最后,成功地找到了最佳的时变转子磁通。当提出的解决方案满足某些次优标准时,该OCP还可满足突然的扭矩条件,并可涵盖动态操作。建议的最佳控制设计的有效性通过仿真进行测试,然后通过实验结果进行比较,方法是将使用建议的最佳转子磁通轨迹的动态控制律与使用额定磁通值的常规控制进行比较。 (C)2019欧洲控制协会。由Elsevier Ltd.出版。保留所有权利。

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