Obtain the required diameter of the rotor blades of the

Question

For a given AC motor: 3-Φ, 625 kVA, 480 V, 670 HP, n_n = 886 rpm (n₀ = 900 rpm), 91% Efficiency. Also, R₁ = 0.01 Ω, X₁ = 0.06 Ω, R₂' = 0.017 Ω, X₂' = 0.066 Ω, and X_m = 2.23 Ω. Assume R_m → ∞.

The motor operates as a generator driven by wind turbine.

Obtain:

1) The required diameter of the rotor blades of the wind turbine.

2) Calculate the required capacitor bank that allows a stand-alone operation of the induction generator.

3) If the no-load excitation curve is given by V_0ph = 2915 (1-e-0.043/m, where I_m is the magnetizing current of the machine, and V_0ph is the no-load phase voltage, obtain the actual voltage at no-load operation of the generator (at rated magnetizing current).

4) The maximum power the induction generator can supply to the load.

Assume: the maximum (critical) torque of the induction generator equals the pushover torque of the wind turbine at a wind speed of 32 mph.