Economic/Environmental Optimal Power Flow Using a Multiobjective Convex Formulation

Lucas do Carmo Yamaguti (), Juan Manuel Home-Ortiz, Mahdi Pourakbari-Kasmaei and José Roberto Sanches Mantovani
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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

Energies, 2023, vol. 16, issue 12, 1-21

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.

Keywords: ?-constrained algorithm; emission pollutant gasses; multiobjective optimization; optimal power flow; renewable energy sources; second-order conic programming (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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