A 500kW, 2400V, four-pole, 60Hz, Y connected induction machine has the following equivalent circuit parameters in ohms per phase referred to the stator: R1 = 0.122 Ω; R2 = 0.317 Ω; X1 = 1.364 Ω; X2 = 1.32 Ω; Xm = 45.8 Ω; Rc≈∞ (no core losses) When operating as a motor, supplied from a 2400V source, the machine achieves rated shaft output power (500kW) at a slip of 3.35%. The machine is to be used as a generator, driven by a wind turbine. It will be connected to a distribution system which can be represented by a 2400V infinite bus. a) From the given data calculate the total rotational losses at rated load. b) With the wind turbine driving the induction machine at a slip of -3.2 percent, calculate (i) the electric power output in kW, (ii) the efficiency (electric power output divided by the shaft input mechanical power) in percent, and (iii) the power factor measured at the machine terminals.
A 500kW, 2400V, four-pole, 60Hz, Y connected induction machine has the following
equivalent circuit parameters in ohms per phase referred to the stator:
R1 = 0.122 Ω; R2 = 0.317 Ω; X1 = 1.364 Ω; X2 = 1.32 Ω; Xm = 45.8 Ω; Rc≈∞ (no core
losses)
When operating as a motor, supplied from a 2400V source, the machine achieves rated
shaft output power (500kW) at a slip of 3.35%. The machine is to be used as a generator, driven by a wind turbine. It will be connected to a distribution system which can be
represented by a 2400V infinite bus.
a) From the given data calculate the total rotational losses at rated load.
b) With the wind turbine driving the induction machine at a slip of -3.2 percent, calculate
(i) the electric power output in kW,
(ii) the efficiency (electric power output divided by the shaft input
percent, and
(iii) the power factor measured at the machine terminals.
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