Steady-state solution of fixed-speed wind turbines following fault conditions through extrapolation to the limit cycle

A methodology to efficiently calculate the steady-state solution of fixed-speed induction generator (FSIG) based wind turbines, using a Newton algorithm and a Numerical Differentiation (ND) process for the extrapolation to the limit cycle is presented. This approach can be extremely useful in the development of steady-state studies of modern large-scale power systems with significant share of wind power based on FSIGs. A conventional Brute Force (BF) procedure is applied for comparison purposes to demonstrate the efficiency of the proposed methodology. The study involves the starting sequence of wind turbines and also the transient behavior of a single wind turbine after a disturbance. The simulations are conducted using a modeling platform developed by the authors to analyze power networks with high penetration of renewable sources