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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 6379253, 20 pages
Research Article

Energy Optimization for Distributed Energy Resources Scheduling with Enhancements in Voltage Stability Margin

1Automation and Control Group, Department of Electrical Engineering, Denmark Technical University (DTU), Elektrovej, Building 326, 2800 Lyngby, Denmark
2GECAD, Knowledge Engineering and Decision Support Research Center, Polytechnic Institute of Porto (IPP), R. Dr. António Bernardino de Almeida 431, 4200-072 Porto, Portugal

Received 30 July 2015; Revised 3 March 2016; Accepted 5 April 2016

Academic Editor: Xavier Delorme

Copyright © 2016 Hugo Morais 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 need for developing new methodologies in order to improve power system stability has increased due to the recent growth of distributed energy resources. In this paper, the inclusion of a voltage stability index in distributed energy resources scheduling is proposed. Two techniques were used to evaluate the resulting multiobjective optimization problem: the sum-weighted Pareto front and an adapted goal programming methodology. With this new methodology, the system operators can consider both the costs and voltage stability. Priority can be assigned to one objective function according to the operating scenario. Additionally, it is possible to evaluate the impact of the distributed generation and the electric vehicles in the management of voltage stability in the future electric networks. One detailed case study considering a distribution network with high penetration of distributed energy resources is presented to analyse the proposed methodology. Additionally, the methodology is tested in a real distribution network.