HW5: Due on Wed. April 12, 2023 at 11:59PM.
Solve the following problems from Chapter 6: PROBLEM 6.2
Problem 1:
Consider a wind microgrid given in Figure 1. The system has a local load rated at 75 kVA at a
power factor rated 0.8 leading. The three-phase transformer is rated 11 kV/0.40 kV; 250 kVA; X
= 0.06 p.u. A three-phase, six-pole induction generator is rated at 400 V, 60 Hz, with stator
resistance of 0.08 Ω/phase, rotor referred resistance in the stator side of 0.07 Ω/phase, stator
reactance of X1 0.2 Ω/phase, and rotor referred reactance of X2 0.1 Ω/phase. Compute the
following:
1. The per unit equivalent model based on a kVA base of 250 kVA and 400 V.
2. The shaft mechanical power if the shaft speed is at 1350 rpm.
3. The amount of power injected into the local utility.
4. The flow of reactive power between grid and local microgrid.
5. Compute the amount of the reactive power as well as the capacitors that must be placed at
the local grid to have unity power factor at the local power grid.