Minimize the One‐Year Energy for Distribution Power Grids With Renewable Energies‐Based Distributed Generators, Capacitors, and Soft Open Points

The paper optimizes the placement and operating parameters of renewable energies‐based distributed generators (RNEDGs), capacitors, and soft open point (SOP) devices in the IEEE 69‐node and Nha Be 55‐node distribution power grids by using a proposed enhanced equilibrium optimizer (EEO). The paper’s objective is to minimize the total 1‐year grid energy, and three cases of the grid are implemented, including the base system without added devices, Hybrid System 1 with RNEDGs, and Hybrid System 2 with all the mentioned electric devices. For the IEEE 69‐node distribution power grid (DPG), the total energy supplied by the grid over 1 year for the base system and Hybrid system 1 is 21,010.447 and 7401.877 MWh, respectively. Meanwhile, that from Hybrid system 2 is 6832.272 MWh. So, Hybrid System 2 consumes a smaller amount of energy than Hybrid System 1, and the base system consumes 569.605 and 14,178.175 MWh, which are about 7.7% and 67.5%. For the Nha Be 55‐node DPG, Hybrid System 2 can reduce the grid energy by 84.407 and 5321.443 MWh, equaling 13% and 0.24% of the total grid energy of the base system and Hybrid System 1. In addition, the study also runs the original equilibrium optimizer (EO), Archimedes optimization algorithm (AOA), electric eel foraging algorithm (EEFA), and Parrot optimization algorithm (POA) to compare them with EEO. Finally, EEO can reach approximately all better solutions than the applied algorithms and other previous algorithms. So, the paper has two enormous contributions, including the proposed EEO algorithm and providing a small amount of energy supplied by the grid over 1 year.