Stability and sensitivity analysis of wind turbine self-excitation induction generator

Increasing the electrical demand causes the expansion of distributed generation sources and the interconnection of power systems. In the integrated power system, stability is one of the vital issues. The instability of the power system may cause a blackout. Therefore, the analysis of stabilities and sensitivities should be considered in power system studies. In this paper, the sensitivity analysis and eigenvalue of the induction wind generator were investigated by using a proper nonlinear model. First, the dynamic equations of the wind turbine induction generator were presented. For this purpose, the induction generator was connected to an infinite bus through a short transmission line. Sensitivity analysis was performed by changing some important system parameters. In this study, by changing the inductance and resistance of the transmission line, the variations of the induction generator were analyzed separately. Then the ratio r to x of the transmission line was investigated. Finally, the eigenvalues were considered for analysis of the case study's stability. Differential equations of the case study were solved using the Rang-Kutta order-four method with MATLAB software.