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Mathematical Problems in Engineering
Volume 2013, Article ID 195038, 7 pages
Research Article

Mathematical Model and Stability Analysis of Inverter-Based Distributed Generator

Faculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia

Received 23 December 2012; Accepted 18 February 2013

Academic Editor: Vu Phat

Copyright © 2013 Alireza Khadem Abbasi and Mohd Wazir Mustafa. 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.


This paper presents a mathematical (small-signal) model of an electronically interfaced distributed generator (DG) by considering the effect of voltage and frequency variations of the prime source. Dynamic equations are found by linearization about an operating point. In this study, the dynamic of DC part of the interface is included in the model. The stability analysis shows with proper selection of system parameters; the system is stable during steady-state and dynamic situations, and oscillatory modes are well damped. The proposed model is useful to study stability analysis of a standalone DG or a Microgrid.