Self-Excited Induction Generators (SEIG) have recently emerged for wind energy conversion in remote and rural areas due to many advantages as standalone induction generator over Grid Connected Induction Generators. However, poor voltage and frequency regulation under varying load and speed is the prime disadvantage of standalone SEIG. Steady state analysis for such machines is important to understand their behavior under varying operating conditions. This paper presents a detailed d-q model of SEIG using Matlab/Simulink which contributes to the development of SEIG modeling with a limited complexity. From the generalized d-q model, the effect of different constraints such as, variation of prime mover speed, and excitation capacitor size, on the SEIG output built up process have been addressed and analyzed. The variation of the magnetizing inductance and the non-linearity is also considered.