A 3-phase induction motor that is star-connected and has a supply line voltage E0 of 400V at 50Hz. An equivalent circuit of one phase of the generator is shown in Figure 1. Assume that the input voltage (E0) phase angle is 00. The known parameters at rated power output are as follows: RFE = 1000 Ω, XM = 400 Ω, R1 = 1.0 Ω, X1 = 8 Ω, ns = 1000 rpm, nr = 950 − N rpm, R2 = 2.0 Ω, Note that the number of stator pole-pairs is 3. b) If the motor’s supply frequency is changed to 60Hz but the input voltage and the rotor speed remain unchanged, calculate: i) the new motor 3-phase output torque T’m3-ph, ii) the new motor power factor pf’.
A 3-phase induction motor that is star-connected and has a supply line voltage E0 of 400V at 50Hz. An equivalent circuit of one phase of the generator is shown in Figure 1. Assume that the input voltage (E0) phase angle is 00. The known parameters at rated power output are as follows: RFE = 1000 Ω, XM = 400 Ω, R1 = 1.0 Ω, X1 = 8 Ω, ns = 1000 rpm, nr = 950 − N rpm, R2 = 2.0 Ω, Note that the number of stator pole-pairs is 3. b) If the motor’s supply frequency is changed to 60Hz but the input voltage and the rotor speed remain unchanged, calculate: i) the new motor 3-phase output torque T’m3-ph, ii) the new motor power factor pf’.
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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A 3-phase induction motor that is star-connected and has a supply line voltage E0 of 400V at 50Hz.
An equivalent circuit of one phase of the generator is shown in Figure 1. Assume that the input
voltage (E0) phase angle is 00.
The known parameters at rated power output are as follows:
RFE = 1000 Ω, XM = 400 Ω, R1 = 1.0 Ω, X1 = 8 Ω, ns = 1000 rpm, nr = 950 − N rpm, R2 = 2.0 Ω,
Note that the number of stator pole-pairs is 3.
b) If the motor’s supply frequency is changed to 60Hz but the input voltage and the rotor speed
remain unchanged, calculate:
i) the new motor 3-phase output torque T’m3-ph,
ii) the new motor power factor pf’.
c) In no more than 400 words total:
i) explain why synchronous generators are essential for power balancing in an AC
power system.
Transcribed Image Text:R1
X1
ex
RFE
Хм
V,
R2/S
1
E.
Figure 1: equivalent circuit of one phase of the motor.
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