A 220-V Y-connected synchronous motor is drawing 50 A at unity power factor from a 220-V power system. The field current flowingunder these conditions is 2.7 A. Its synchronous reactance is 1.4 ohms.Assume a linear open-circuit characteristic.(a) Find phase voltage and induced emf for these conditions.(b) Find the torque angle.(c) What is the maximum power that the machine can handle under these conditions?(d) How much armature current would be required to make the motor operate at 0.80 PF leading?

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Answered: A 220-V Y-connected synchronous motor…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A certain four-pole 240-V-rms 60-Hz delta-connected three-phase induction motor has Rs=1 ΩRr′=0.5 Ω Xs=1.5 ΩXr′=0.8 Ω Xm=40 Ω Under load, the machine operates at 1728 rpm and has rotational losses of 200 W. Neglecting the rotational losses, find the no-load speed, line current, and power factor for the 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 three-phase, 460-V, 60-Hz, four-pole Y-connected induction motor has the following equivalent circuit parameters: Rs = 0.42Ω, Rrʹ = 0.23Ω, Xs = Xrʹ = 0.82Ω, and Xm = 22Ω. The no-load loss 60W, may be assumed constant. The rotor speed is 1750 rpm. The rotational losses at this speed is 500W. Use the approximate equivalent circuit in figure below, to determine (a) the synchronous speed Ns; (b) the slip s; (c) the input current Ii; (d) the input power Pi; (e) the input PF of the supply, PFs; (f) the gap power Pg; (g) the rotor copper loss Pru; (h) the stator copper loss Psu; (i) the developed torque Td; (j) the efficiency; (k) the starting current Irs and starting torque Ts; (l) the slip for maximum torque sm; (m) the maximum developed torque in motoring, Tmm
A 220-V-rms (line-to-line), 60-Hz, three-phase induction motor operates at 3500 rpm while delivering its rated output power of 3 hp. The line current is 8 A rms and the losses are 300 W. Find the input power, power factor, and efficiency.
A 400V, 50Hz, 6-pole 3-phase asynchronous motor rotates 20Nm of constant load torque at 950rpm. If it is desired to rotate this load at 750 rpm mechanical speed;a) The synchronous speed of the motor,b) Supply frequency,c) Find the value of the supply voltage between phases?Note: The motor will be driven with V/F sbt because the load torque does not change.
)A 50-kW, 440-V, 50-Hz, six-pole induction motor has a slip of 6 percent when operating at full-load conditions. At full-load conditions, the friction and windage losses are 300 W, and the core losses are 600 W. Find the following values for full load conditions: (a) The shaft speed nm (b) The output power in watts (c) The load torque τload in newton-meters (d) The induced torque τind in newton-meters (e) The rotor frequency in hertz
A shunt-connected dc motor has zero rotational losses and RA=0. Assume that RF+Radj is constant [except in part (d)] and that ϕ is directly proportional to field current. For VT=200 V and Pout=2 hp, the speed is 1200 rpm. What is the effect on IA and speed if: a. the load torque doubles; b. the load power doubles; c. VT is changed to 100 V and Pout remains constant; d. RF+Radj is doubled in value and Pout remains constant?
electrical machines A 50-kW, 460-V, 50 Hz, two-pole induction motor has a slip of 5% when operating a full-loadconditions. At full-load conditions, the friction and windage losses are 700W, and the core losses are600 W. Find the following values for full-load conditions:a. The shaft speedb. The output power in wattsc. The load torque in N-m.d. The induced torque in N-me. The rotor frequency in Hz.
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 50 kW, 220 V, dc shunt generators has an armature resistance including brushes of 0.026 ohms. If the shunt field resistance is 52 Ω. Find the induced emf at rated load.
A 6-pole, 50 Hz, 3-phase induction motor runs at 960 rpm while delivering a shaft torque of 120 N-m. If friction and windage loss amount to 180 W., determine the rotor copper loss.
A 50-kW, 440-V, 50-Hz, six-pole induction motor has a slip of 6 percent when operating at full-load conditions. At full-load conditions, the friction and windage losses are 300 W, and the core losses are 600 W. Find the following values for full-load conditions: (a) The shaft speed nm (b) The output power in watts (c) The load torque load in newton-meters (d) The induced torque ind in newton-meters (e) The rotor frequency in hertz

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