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Mathematical Problems in Engineering
Volume 2014, Article ID 581323, 11 pages
Research Article

Modeling Single-Phase Inverter and Its Decentralized Coordinated Control by Using Feedback Linearization

Department of Electrical Engineering, Northeastern University, Wenhua Road 3-11, P.O. Box 134, Shenyang 110819, China

Received 22 June 2014; Accepted 12 September 2014; Published 9 October 2014

Academic Editor: Teh-Lu Liao

Copyright © 2014 Renke Han 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.


It is a very crucial problem to make a microgrid operated reasonably and stably. Considering the nonlinear mathematics model of inverter established in this paper, the input-output feedback linearization method is used to transform the nonlinear mathematics model of inverters to a linear tracking synchronization and consensus regulation control problem. Based on the linear mathematics model and multiagent consensus algorithm, a decentralized coordinated controller is proposed to make amplitudes and angles of voltages from inverters be consensus and active and reactive power shared in the desired ratio. The proposed control is totally distributed because each inverter only requires local and one neighbor’s information with sparse communication structure based on multiagent system. The hybrid consensus algorithm is used to keep the amplitude of the output voltages following the leader and the angles of output voltage as consensus. Then the microgrid can be operated more efficiently and the circulating current between DGs can be effectively suppressed. The effectiveness of the proposed method is proved through simulation results of a typical microgrid system.