R.G. Kavasseri
Induction generators, wind energy conversion Nomenclature • rs: armature (stator) resistance • x1: armature leakage reactance • xm: magnetizing reactance • x2: rotor leakage reactance • rr: rotor resistance • ωs: angular speed of the synchronously rotating frame • s: slip of the machine • E :equivalent voltage source of the machine • Is: armature current of the machine • U: terminal voltage of the machine • To: rotor open circuit time constant • x
This paper conducts a fundamental analysis of the induction generator infinite bus system, which is a useful representation for a wind energy converter interfaced with a utility through a transmission line. A third-order model is used to represent the induction generator and the resultant nonlinear system equations are analysed deriving a condition that guarantees the existence of equilibrium points (or steady state solutions) to the dynamic system. This condition is used to derive three other auxiliary conditions that compute 1) the minimum value of capacitance, 2) the maximum deliverable power, and 3) the maximum external reactance that can be connected to the machine. The conditions listed above are further studied numerically on three different sets of induction generator data. The impact of capacitive requirements on power factor and terminal voltage is examined. Terminal voltage regulation also has a strong restrictive influence on the maximum transferable power. The analysis and studies presented could be a useful tool for preliminary planning studies involving wind energy converters.
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