Economic/Environmental Optimal Power Flow Using a Multiobjective Convex Formulation

• Main Author: Yamaguti, Lucas do Carmo [UNESP]
• Publication Date: 2023
• Other Authors: Home-Ortiz, Juan Manuel [UNESP], Pourakbari-Kasmaei, Mahdi, Mantovani, José Roberto Sanches [UNESP]
• Format: Article
• Language: eng
• Source: Repositório Institucional da UNESP
• Download full: http://dx.doi.org/10.3390/en16124651; https://hdl.handle.net/11449/309505
• topic: emission pollutant gasses; multiobjective optimization; optimal power flow; renewable energy sources; second-order conic programming; ε-constrained algorithm

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.