Electric Motor Control
10th Edition
ISBN: 9781305177611
Author: Herman
Publisher: Cengage
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Chapter 30, Problem 3SQ
To determine
Explain the process of achieving smooth acceleration using a reduced voltage starter.
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The circuit shown below on the left has the following parameters:
V₁ = 5 V.
R₁ = 40,
R₂ = 40,
α = 0.1.
This circuit can be replaced by an equivalent circuit shown below on the right such that the voltage and current received by an arbitrary load resistor RL, are identical
when connected to either circuits.
Determine the value of the resistor R (in ) in the equivalent circuit.
R₁
Rx
R2
R₁
Vx
R₁
Vi
απ.
b
1. Consider the following a unity feedback control system.
R(s) +
E(s)
500(s+2)(s+5)(s+6)
s(s+8)(s+10)(s+12)
-Y(s)
Find the followings:
a) Type of the system
b) Static position error constant Kp, Static velocity error constant Ry and Static
acceleration error constant Ka
c) Find the steady-state error of the system for (i) step input 1(t), (ii) ramp input t 1(t),
(iii) parabolic input t² 1(t).
2. Repeat the above problem for the following system.
R(s) + E(s)
500(s + 2)(s + 5)
(s+8)(s+ 10)(s+12)
Y(s)
3. Repeat the above problem for the following system.
R(s) +
E(s) 500(s+2)(s+4)(s+5)(s+6)(s+7)
s²(s+8)(s+10)(s+12)
Y(s)
4. Consider a unity (negative) feedback control system whose open-loop transfer
function is given by the following.
2
G(s) =
s³ (s + 2)
Find the steady-state error of the system for each of the following inputs.
=
a) u(t) (t²+8t+5) 1(t)
b) u(t) = 3t³ 1(t)
c) u(t) (t+5t² - 1) 1(t)
=
Chapter 30 Solutions
Electric Motor Control
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