This article aims to explain the application of a recent intelligent technique that is supported by the four basic operations of mathematics (+,−,÷,×) whose name is Arithmetic Optimization Algorithm (AOA). Therefore, the recent method is used, in this work, in order to solve the static planning of the expansion of electric power transmission systems, which is a complex issue, since it is a problem of Mixed Integer Linear Programming (MILP), presents several solutions and can lead to the phenomenon of combinatorial explosion due to the different alternatives. Finally, a comparison is made with the Genetic Algorithm (GA). All simulations were performed in the academic system IEEE 24 bus and the results show the applicability and efficiency of AOA in solving the problem in question.