One of the important factors that are always discussed in the study of power systems is the issue of power system stability. In this paper, the load angle control of a three-phase synchronous steam power plant generator is presented by overcoming the load angle fluctuations in both transient and permanent system conditions and expanding the range of stable generator performance. First, the equations of the linear state space of the steam power plant around the operating point are extracted. Then, based on Hankel single values, the model is approximated to the 6th order and based on that, a proportional, derivative, and integral controller for the load angle is presented. Then, using the arithmetic optimization algorithm, the controller coefficients are adjusted with two approaches reducing the settling time and reducing the overshoot of the step response. The stability of the proposed controller output power was also used using the stability criteria Bode and Nyquist was examined. The simulation results show that the arithmetic optimization algorithm has a better performance in controlling the load angle of the three-phase synchronous generator than the fuzzy controller and genetic and harris hawks algorithms. For example, in comparison with the genetic algorithm, the output power has good stability, and the rise time, settling time and the amount of overshoot in the step response of the proposed algorithm is reduced by 82.97, 82, and 40.18%, respectively
