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![Ans[1440 r.p.m.]
A 440 V, 3-phase, 50 Hz, 4-pole, Y-connected induction motor has a full-load speed of 1425r.p.m.
the rotor has an impedance of (0.4 +j 4) Q and rotor/stator turns ratio is 0.8. Calculate (i) full load
torque ,(ii) rotor curren (iii) full load rotor Cu loss.
Ans[78.87N.m ; 22.73A, 620w]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdc299c46-3b8e-4e00-ab29-5dcd68e8c090%2F2d006b6d-d8f0-4be2-8635-91e6433797c9%2Fbvg79i_processed.jpeg&w=3840&q=75)
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- The stator resistance of a 1-phase induction motor is 2.5 ohm and its leakage reactance is 2.0 ohm. Onno-load, the motor takes 4 A at 96 V and at 0.25 lagging power factor. The no-load friction andwindage loss is negligible. Under the blocked-rotor condition, the input power is 130 W at 6 A and42 V. obtain the equivalent circuit parameters.The stator resistance of a 1-phase induction motor is 2.5 ohms and its leakage reactance is 2.0 ohms. Onno-load, the motor takes 4 A at 96 V and at 0.25 lagging power factor. The no-load friction andwindage loss is negligible. Under the blocked-rotor condition, the input power is 130 W at 6 A and42 V. Obtain the equivalent circuit parameters.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 209-V, three-phase, six-pole, Y-connected induction motor has the following parameters: R1 = 0.128 Ω, R’2 = 0.0935 Ω, Xeq =0.49Ω. The motor slip at full load is 2%. Assume that the motor load is a fan-type. If an external resistance equal to the rotor resistance is added to the rotor circuit, calculate the following: a. Motor speed, Starting torque, Starting current, and Motor efficiency (ignore rotational and core losses) b. Calculate the value of the resistance that should be added to the rotor circuit to reduce the speed at full load by 20%. Find the motor efficiency. c. If the voltage is reduced by 20%, calculate the Motor speed, Starting torque, Starting current, and Motor efficiency (ignore rotational and core losses) d. If the supply frequency is reduced by 20%, calculate the Motor speed, Starting torque, Starting current, and Motor efficiency (ignore rotational and core losses) ..A 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.A 440 V, 22.5-hp, 50 Hz, 3-phase, 4-pole, star-connected induction motor has the following impedances in ohms per phase referred to the stator circuit: R1 = 0.552X, = 1.1050Ra = 0.350X2 = 0.4562 Xy = 27.10 The total rotational losses are 1105 W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 2.3% at the rated voltage and rated frequency, d) Electrical power,e) Output power,f) Efficiency.
- A 440 V, 22.5-hp, 50 Hz, 3-phase, 4-pole, star-connected induction motor has the following impedances in ohms per phase referred to the stator circuit: R1 = 0.552X, = 1.1050Ra = 0.350X2 = 0.4562 Xy = 27.10 The total rotational losses are 1105 W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 2.3% at the rated voltage and rated frequency, calculate:a) Speed,b) Stator current.c) Power factor,d) Electrical power,e) Output power,f) Efficiency.g The shaft torque of the motor at rated loadA 3-phase, 6 pole, 440 V, 60 Hz, Y-connected induction motor has the following impedances per phase referred to the stator circuit: R1=0.43 Ω, R2=0.54 Ω, X1=1.263 Ω, X2=0.608 Ω, XM=43Ω The total rotational losses are 1100 W and are assumed to be constant. The core loss is lumped in with the rotational losses. For a rotor slip of 2 percent at the rated voltage and rated frequency, Find the motor speed, stator current, output powerA 220 V, single-phase induction motor gave the following test results:Blocked-rotor test: 120 V, 9.6 A, 460 WNo-load test: 220 V, 4.6 A, 125 WThe stator winding resistance is 1.5 Ω, and during the blocked-rotor test, the starting winding is open. Determine the equivalent circuit parameters. Also, find the core, friction and windage losses.
- A single-phase, 120 V, 60 Hz, four-pole, split-phase induction motor has the following standstill impedances:Main winding: Zm =5+j6.25Auxiliary winding: Za =8+j6a) Determine the value of capacitance to be added in series with the auxiliary winding to obtainmaximum starting torque.b) Compare the starting torques and starting current with and without the added capacitance in theauxiliary winding circuit when operated from a 120V, 60Hz supplyCalculate and plot the torque-speed characteristics for a four-pole induction motor. Themotor parameters are rs = 24.5 Ω, rr =23 Ω, Xs = 10 Ω, Xr = 40 Ω, and Xm = 25 Ω. Therated voltage is 110 V. The maximum frequency of the supplied phase voltages is fmax =60 Hz. Assume the phase voltages are supplied with frequencies 20, 40 and 60 Hz. ...A 200V, 3, star connected induction motor takes 30A at a line voltage of 35V with rotor locked. With this line voltage, power input to motor is 450W and core loss is 60W.The dc resistance between a pair of stator terminals is 0.15Ω. If the ratio of ac to dc resistance is 1.6, find the equivalent leakage reactance/phase of the motor and the stator and rotor resistance per phase.