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Stability analysis of q-axis rotor flux based model reference adaptive system updating rotor time constant in induction motor drives

机译:基于q轴转子磁链的模型参考自适应系统的稳定性分析,更新感应电动机驱动器中的转子时间常数

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摘要

q-axis rotor flux can be chosen to form a model reference adaptive system (MRAS) updating rotor time constant online in induction motor drives. This paper presents a stability analysis of such a system with Popov's hyperstability concept and small-signal linearization technique. At first, the stability of q-axis rotor flux based MRAS is proven with Popov's Hyperstability theory. Then, to find out the guidelines for optimally designing the coefficients in the PI controller, acting as the adaption mechanism in the MRAS, small-signal model of the estimation system is developed. The obtained linearization model not only allows the stability to be verified further through Routh criterion, but also reveals the distribution of the characteristic roots, which leads to the clue to optimal PI gains. The theoretical analysis and the resultant design guidelines of the adaptation PI gains are verified through simulation and experiments.
机译:可以选择q轴转子磁通以形成模型参考自适应系统(MRAS),以在线更新感应电动机驱动器中的转子时间常数。本文利用Popov的超稳定性概念和小信号线性化技术对这种系统进行了稳定性分析。首先,用Popov的Hyperstability理论证明了基于q轴转子磁通的MRAS的稳定性。然后,为了找出在PI控制器中优化设计系数的准则,作为MRAS中的自适应机制,开发了估算系统的小信号模型。所获得的线性化模型不仅允许通过Routh准则进一步验证稳定性,而且还揭示了特征根的分布,这为获得最佳PI增益提供了线索。通过仿真和实验验证了自适应PI增益的理论分析和所得的设计指南。

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