Question current ia. Using the given relationships in the mathematical model and equations between the system parameters, answer the following questions: a) Draw the block diagram of the system using the equations given below. Take voltage V as input and shaft angular position w(t) as output. b) Obtain the transfer function Following system schematically represents a direct current (DC) motor driven by a W6) assuming all initial conditions are zero. V(s) c) Show the poles and zeroes (if any) of the system on s-plane. (Take the numerical values for ONLY THIS PART J=5 k gm², B=2 Nms/rad, Ks=50x10-3 Vsec/rad, Km=50x10-3 Nm/A,Va=50 V.) Electrical part (torque) :T= Kmla Mechanical part (torque) :T = Jë + BÒ : V = Kpw : Va = kaV J=Inertia of the DC motor B= viscous damping coefficient of bearings w(t)= Angular velocity of the DC motor O(t)=Angular position of the DC motor Back emf effect Amplifier effect

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.1P
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current ia. Using the given relationships in the mathematical model and equations between the system
Following system schematically represents a direct current (DC) motor driven by a
parameters, answer the following questions:
a) Draw the block diagram of the system using the equations given below. Take voltage V as input and
shaft angular position w(t) as output.
W(s)
V(s)
b) Obtain the transfer function
assuming all initial conditions are zero.
c) Show the poles and zeroes (if any) of the system on s-plane. (Take the numerical values for ONLY
THIS PART J=5 kgm², B=2 Nms/rad, Kb=50x10-3 Vsec/rad, Km=50x10-3 Nm/A,Va=50 V.)
Electrical part (torque)
:T = Kmla
J=Inertia of the DC motor
Mechanical part (torque) :T =,
JÖ + BÒ
: Vp = Kpw
: Va = kaV
B= viscous damping coefficient of bearings
w(t)= Angular velocity of the DC motor
0(t)=Angular position of the DC motor
Back emf effect
Amplifier effect
Motor
100 2
Amplifier
Load
Ka=50
Transcribed Image Text:Question current ia. Using the given relationships in the mathematical model and equations between the system Following system schematically represents a direct current (DC) motor driven by a parameters, answer the following questions: a) Draw the block diagram of the system using the equations given below. Take voltage V as input and shaft angular position w(t) as output. W(s) V(s) b) Obtain the transfer function assuming all initial conditions are zero. c) Show the poles and zeroes (if any) of the system on s-plane. (Take the numerical values for ONLY THIS PART J=5 kgm², B=2 Nms/rad, Kb=50x10-3 Vsec/rad, Km=50x10-3 Nm/A,Va=50 V.) Electrical part (torque) :T = Kmla J=Inertia of the DC motor Mechanical part (torque) :T =, JÖ + BÒ : Vp = Kpw : Va = kaV B= viscous damping coefficient of bearings w(t)= Angular velocity of the DC motor 0(t)=Angular position of the DC motor Back emf effect Amplifier effect Motor 100 2 Amplifier Load Ka=50
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