On fixed-point iterations for the solution of control equations in power systems transients

•This paper presents research related to the simulation of control systems for the computation of electromagnetic transients.•It contributes to establishment of a formal analysis method of control system equations solved through fixed-point iterations.•The presented algorithms are illustrated in EMTP-RV for practical control systems.•The simulation results are compared against the Newton method and the advantages and possible realization conditions of fixed-point iterations are analyzed.

This paper contributes toward the establishment of a formal analysis method of control system equations solved through fixed-point iterations. The success of fixed-point iterations relies on contraction properties of the function to be iterated. A convergence criterion is presented and accuracy is not sacrificed over gain in computational performance.The presented algorithms are illustrated in EMTP-RV for practical control systems used in wind power generation and for a user defined model case. Limitations and performances are discussed in relation to the Newton method.