: A 3-phase, 6 Pole, 50 Hz, 400 V induction motor takes a line current of 40 A at 0.8 p.f. and runs at 950 r.p.m. The friction and windage losses are 4 kW and stator losses are 3 kW. Determine: i) The slip. ii) The rotor copper loss. iii) The b.h.p. iv) The efficiency.
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- Three-phase 460-hp, 415 V, 4-pole, 50 Hz induction motor is operating at overvoltage of 480 V and reduced load of 80% of the rated value and draws a line current of 624.06A. The losses at these operating conditions are as follows: The stator conductor loss is 12.6kW, the rotor conductor loss is 10.4kW, the core loss is 11.00kW; and rotational losses is 4.129 kW. Sketch the power flow diagram, enter the known values, and determine (a) rotor speed (b) shaft output torque (c) developed mechanical torque in Nm. (d) input power to the stator; (f) the input power factor. Do only part (a), (b) & (c){Q.1} A three-phase induction motor runs at almost 1198 revolutions per minute (rpm) at no load and 1112 rpm at full load when supplied from a 60-Hz, three-phase source. (a) How many poles does this motor have? (b) What is the slip in percent at full load? (C) What is the corresponding frequency of the rotor currents? (D) What is the corresponding speed of the rotor field with respect to the rotor and with respect to the stator?A 110-V, 50-Hz single phase induction motor (split -phase) has the following constants for the main and auxiliary windings: Main winding, Zm (1.2 +j 25) ohm and auxiliary winding, Z,= (12+j 5) ohm. Determine (i) total current and power factor currents at time of starting, and (ii) phase angle between the main winding current and starting winding current.
- A four-pole, three-phase induction motor rotatesat 1,700 r/min when the load is 100 N-m. The motoris 88 percent efficient.a. Determine the slip at this operating condition.b. For a constant-power, 10-kW load, determine theoperating speed of the machine.c. Sketch the motor and load torque–speed curves onthe same graph. Show numerical values.d. What is the total power consumed by themotor?A four-pole, three-phase induction motor drives aturbine load. At a certain operating point the machinehas 4 percent slip and 87 percent efficiency. The motordrives a turbine with torque–speed characteristic givenby TL = 20 + 0.006ω2. Determine the torque at themotor-turbine shaft and the total power delivered tothe turbine. What is the total power consumed by themotor?Q2. For a 10 kW, 380V, three-phase, four-pole, 1200 r/min, delta-connected induction motor. Adopt a specific magnetic loading of 0.4712 Wb/m2 and a specific electric loading of 23000 ampere-conductors per metre. The motor has a full-load efficiency of 85% and a full-load power factor of 0.8. A square pole design may be assumed and the stator leakage impedance voltage drop may be ignored. Assume also that the winding is full-pitched and uniformly wound. To calculate the following design parameters (a) The approximate outer diameter and length of the rotor core (b) the air gap length of the motor (c) the turns per phase (d) the number of conductors per slot, if 3 slots per pole per phase are chosen
- A three-phase, 60-Hz induction motor runs at 890 r/min at no load and at 840 r/min at full load. (a) How many poles does this motor have? (b) What is the slip at rated load? (c) What is the speed at one-quarter of the rated load? (d) What is the rotor’s electrical frequency at one-quarter of the rated load?Three phase 460 hp,415v,4pole,50hz induction motor is operating at Over voltage of 480v and reduced load of 80% of the rated value and draws a line current of 624.06A.The losses at these operating conditions are as follows .The stator conductor loss is 12.6 kw sketch the power flow diagram ,enter the known values and determine (a) rotor speed,(b) shaft output torque ,(c)developed mechanical torque in Nm (d)input power to the stator (f)The input power factorA four-pole, single-phase, 120 V, 60 Hz induction motor gave the following standstill impedances when tested at rated frequency:Main winding : Zm =1.5+j4 ohmsAuxiliary winding : Za =3+j6 ohmsa) Determine the value of external resistance to be inserted in series with the auxiliary winding to obtain maximum starting torque as a resistor split-phase motor.b) Determine the value of the capacitor to be inserted in series with the auxiliary winding to obtain maximum starting torque as a capacitor-start motor.c) Determine the value of the capacitor to be inserted in series with the auxiliary winding to obtain maximum starting torque per ampere of the starting current as a capacitor-start motor.d) Compare the starting torques and starting currents in parts (a), (b), and (c) expressed as per unit of the starting torque without any external element in the auxiliary circuit, when operated at 120V, 60Hz.
- The no-load speed of an induction motor is 1914 rpm, the specification shows that it is operated 3-phase, 60 hertz, 1758 rpm and supplied by 425 V. what is the percent speed regulation?A 4-pole induction motor drives a load at 2500 rpm. This is to be accomplished by using an electronic converter to convert 400 Volts DC into a set of 3-phase AC voltages. Find the frequency required for the AC voltages assuming that the slip is 4 percent. The load requires 2 hp. If the DC-to-AC converter has a power efficiency of 88 percent and the motor has a power efficiency of 80 percent, estimate the current taken from the DC source.A 25 HP, 6 pole, 50 Hz, 3-phase slip ring induction motor runs at 960revolutions per minute on full load with a rotor current per phase of 35 A.Allowing 250 W for the copper loss in the short-circuiting gear, and 1000Wfor mechanical losses, find the resistance per phase of the three-phaserotor winding.