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Journal of Applied Mathematics
Volume 2014, Article ID 701964, 9 pages
Research Article

Novel Simplified Model for Asynchronous Machine with Consideration of Frequency Characteristic

1Changzhou Key Laboratory of Photovoltaic System Integration and Production Equipment Technology, Hohai University, No. 200 Jinling Road, Changzhou City, China
2Jiangsu Key Laboratory of Power Transmission & Distribution Equipment Technology, Hohai University, No. 200 Jinling Road, Changzhou City, China
3College of The Internet of Things Engineering, Hohai University, No. 200 Jinling Road, Changzhou City, China
4College of Energy and Electrical Engineering, Hohai University, No. 1 Xikang Road, Nanjing City, China

Received 23 January 2014; Revised 4 May 2014; Accepted 12 May 2014; Published 26 May 2014

Academic Editor: Hongjie Jia

Copyright © 2014 Changchun Cai et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The frequency characteristic of electric equipment should be considered in the digital simulation of power systems. The traditional asynchronous machine third-order transient model excludes not only the stator transient but also the frequency characteristics, thus decreasing the application sphere of the model and resulting in a large error under some special conditions. Based on the physical equivalent circuit and Park model for asynchronous machines, this study proposes a novel asynchronous third-order transient machine model with consideration of the frequency characteristic. In the new definitions of variables, the voltages behind the reactance are redefined as the linear equation of flux linkage. In this way, the rotor voltage equation is not associated with the derivative terms of frequency. However, the derivative terms of frequency should not always be ignored in the application of the traditional third-order transient model. Compared with the traditional third-order transient model, the novel simplified third-order transient model with consideration of the frequency characteristic is more accurate without increasing the order and complexity. Simulation results show that the novel third-order transient model for the asynchronous machine is suitable and effective and is more accurate than the widely used traditional simplified third-order transient model under some special conditions with drastic frequency fluctuations.