Abstract
In recent years, with the continued growth of energy demand, intelligent energy systems have become a common choice for the world's energy to meet the challenges of the future. This article presents the current state of the electric power system of Kazakhstan on the basis of a mathematical model. The production and consumption of electricity in Kazakhstan has been studied, and a mathematical model for the stabilization of the power system has been developed. The numerical solution of this problem is obtained using multistep methods of Adams-Bashforth and Adams-Moulton and graphical results are shown.