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

Hugo Morais, Tiago Sousa, Angel Perez, Hjörtur Jóhannsson, Zita Vale

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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.
Original languageEnglish
Article number6379253
JournalMathematical Problems in Engineering
Number of pages20
Publication statusPublished - 2016

Bibliographical note

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.


  • Distributed power generation
  • Power system control
  • Optimisation techniques
  • distributed power generation
  • electric vehicles
  • mathematical programming
  • Pareto optimisation
  • power generation scheduling
  • power system stability
  • distribution network
  • voltage stability management
  • electric vehicle
  • distributed generation
  • objective function
  • adapted goal programming methodology
  • sum-weighted Pareto front
  • multiobjective optimization problem
  • voltage stability index
  • voltage stability margin
  • energy optimization
  • distributed energy resource scheduling


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