Electric Motor Control
Electric Motor Control
10th Edition
ISBN: 9781305177611
Author: Herman
Publisher: Cengage
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Chapter 44, Problem 4SQ
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Find the series resistance required to limit the current to 30 A across a 230V circuit at 50 percent of its rated speed.

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The circuit shown in the figure below is at steady state before the switch closes at time t=0s. Determine an expression for the capacitor voltage V for t≥0s.
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Q1. A 450 V, 50 Hz, 1450 r.p.m., 25 kW, star-connected three-phase induction motor delivers constant (rated) torque at all speeds. The motor equivalent circuit parameters at rated frequency are R1=0.12, R2 = 0.17 2, X₁ = 0.3 2, X2 = 0.5 2, Xm = 23.6 2. Smooth speed variation is obtained by primary frequency control with simultaneous variation of the terminal voltage to maintain constant air-gap flux. Calculate the motor current, power factor and efficiency at one-fifth of rated speed.
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