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Economic/Environmental Optimal Power Flow Using a Multiobjective Convex Formulation

Author

Listed:
  • Lucas do Carmo Yamaguti

    (Department of Electrical Engineering, São Paulo State University, Ilha Solteira 15385, Brazil)

  • Juan Manuel Home-Ortiz

    (Department of Electrical Engineering, São Paulo State University, Ilha Solteira 15385, Brazil)

  • Mahdi Pourakbari-Kasmaei

    (Department of Electrical Engineering and Automation, Aalto University, 01250 Espoo, Finland)

  • José Roberto Sanches Mantovani

    (Department of Electrical Engineering, São Paulo State University, Ilha Solteira 15385, Brazil)

Abstract

This paper addresses the problem of economic/environmental optimal power flow with a multiobjective formulation using a second-order conic programming (SOCP) optimization model. This problem formulation considers renewable energy sources (RES), fossil-fuel-based power generation units, and voltage control. The proposed SOCP model is a stochastic scenario-based approach to deal with RES and load behavior uncertainties. An ε-constrained algorithm is used to handle the following three objective functions: (1) the costs of power generation, (2) active power losses in the branches, and (3) the emission of pollutant gases produced by fossil-fuel-based power generation units. For comparative purposes, the SOCP model is also presented using a linearized formulation, and numerical results are presented using a 118-bus system. The results confirm that changing the energy matrices directly affects the cost of objective functions. Additionally, using a linearized SOCP model significantly reduces reactive power violation in the generation units when compared to the nonlinearized SOCP model, but also increases the computational time consumed.

Suggested Citation

  • Lucas do Carmo Yamaguti & Juan Manuel Home-Ortiz & Mahdi Pourakbari-Kasmaei & José Roberto Sanches Mantovani, 2023. "Economic/Environmental Optimal Power Flow Using a Multiobjective Convex Formulation," Energies, MDPI, vol. 16(12), pages 1-21, June.
    • Handle: RePEc:gam:jeners:v:16:y:2023:i:12:p:4651-:d:1168888
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    References listed on IDEAS

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