2. A 4-pole, 3-phase, Y-connected induction motor is rated 60 Hz, 208 Vu. Its parameters are R, 120 m2, R, = 290 m2, Xm = 4172, Xs = 700 mn, Xir and frequency. For the purposes of testing, it is connected as shown below to a DC machine, which serves as a generator. This DC machine has resistance R 0.5 N and constant K connected to a variable voltage source. Calculate the necessary voltage and current of the DC motor for starting the induction motor. %3D 1.24 N. It is operating from rated voltage %3D %3D 1.5 Vs. It is %3D 60HZ, 208V IH Induction Variable DC motor motor DC T,w

2. A 4-pole, 3-phase, Y-connected induction motor is rated 60 Hz, 208 Vu. Its parameters are R, 120 m2, R, = 290 m2, Xm = 4172, Xs = 700 mn, Xir and frequency. For the purposes of testing, it is connected as shown below to a DC machine, which serves as a generator. This DC machine has resistance R 0.5 N and constant K connected to a variable voltage source. Calculate the necessary voltage and current of the DC motor for starting the induction motor. %3D 1.24 N. It is operating from rated voltage %3D %3D 1.5 Vs. It is %3D 60HZ, 208V IH Induction Variable DC motor motor DC T,w

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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15. The main and auxiliary windings of a hypothetical 130-V, 60-Hz, split-phase motor have the following locked-rotor parameters: Rmw = 2.3 Ohms, Xmw = 3.0 Ohms, Raw = 9.25 Ohms, and Xaw = 8.2 Ohms. The motor is connected to a 130-V, 50-Hz system. Determine the capacitance, in microfarad, required in series with the auxiliary winding in order to obtain a 86 degrees phase displacement between the currents in the two windings. Correct Answer: 222.33
The equivalent circuit parameters of a 230-V, 1-phase, 6-pole, 60-Hz induction motor are: R1 = R2’ =10 ohms, X1 = X2’ = 10 ohms, and Xm = 100 ohms. At a slip of 5%, calculate (a) motor speed, (b) input current, (c)power factor, (d) developed torque. (e) at 230V, while running on no-load, is 31.4 W at 1.2 A.What is the approximate efficiency of the motor at 5% slip?
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
Design 10 HP, 440 V, 3-Phase, 4-pole, 50 Hz squirrel cage induction motor which is be started using a star-delta starter. Find the main dimensions, number of turns per phase & numbe stator slots. Assume:-Average flux density in the gap = 0.45wb/m², Ampere conductors per meter = 2300 ,Efficiency =0.85Power factor = 0.84, stator winding factor = 0.955. Choose the main dimension to p an overall good design.
A 208 V, 60 Hz, 2-pole, Y-connected induction motor is rated at 16 hp. Its equivalentcircuit components have the following values:(R1 = 0.200 ohm, X1 =0.410 ohm); (R2 = 0.120 ohm, X2 = 0.410 ohm); Xm = 15.0 ohm.Rotor slip is 4.5% at the rated voltage and frequency. Mechanical and core losses are 230Wand 200W respectively. Find (a) rotor speed (b) line current and motor p.f (c) Air-gap andconverted power (d) Induced torque.
Three-phase induction motor, 460 V 50 Hz, 4 poles, 50 hp with Delta, operating at 3.8% slip rated torque when receives Line Voltage 460 V, 50 Hz The parameters of the equivalent circuit per phase are as follows.R1 = 0.33, X1 = X2 = 0.42 and Xm = 30 Ohm / phase.Answer the following questions by neglecting the mechanical losses, Core losses and Stray load losses.A) Value of the rotor resistance R2 B) Maximum torque and rated speed C) line current and starting torque of motor
A 3-phase, 440-V, delta-connected, 4-pole 50-Hz induction motor runs at a speed of 1447 rpm when operating at its rated load. The equivalent circuit has the following per-phase :parametersr1=0.2 Ω, x1=x2'=2 Ω , r2'=0.4 Ω, rc=200 Ω , xɸ = 40 Ω Using the approximate circuit, determine, for rated load, the values of line current and power factor, torque, output power and efficiency. The mechanical loss is 1000 watts.
A 4-pole ,400 V, 50 Hz wound-rotor induction motor has the following circuit model parameters: R = 0.3 2, R2 = 0.25 2, X X2' 0.6 2, Xo 35 2 and rotational loss of 1500 W ( Ro is negligible). When the motor running at 1425 rpm, %3D %3D %3D %3D calculate a) the motor efficiency and, b) the maximum gross power when exciting circuit is omitted.
A 40-HP, 230-V., 8-pole, 25 Hz three-phase induction motor is running at 355 rpm at rated load. The torque lost by friction is 24 N-m. If the stator losses amount to 1,000 W., calculate the efficiency of the motor at this load.
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.
Please show a step-by-step solution. The following data were obtained from no-load, blocked-rotor, and DC tests of a three-phase, wye-connected, 40-hp, 60-Hz, 460-V, design B induction motor whose rated current is 57.8 A. The blocked-rotor test as made at 15 Hz. Blocked Rotor No-Load DC Vline = 37.3 V Vline = 460.0 V VDC = 12.0 V Iline = 57.9 A Iline = 32.7 A IDC = 59.0 A P3 phase = 2541.4 P3 phase = 4664.4 WDetermine the rotor resistance referred to the stator side in Ohm per phase. Give your final answer in 4 decimal places. Correct Answer is 0.6550
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) ..