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

Abstract

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.