Question

Cable reel control is important in oil and gas industry, for example in offshore drilling. A cable reel system is depicted below. The control block diagram of the cable reel drive system is shown below: Desired velocity Amplifier Motor Reel dynamics R(s) $K_a$ $\frac{100}{s+2}$Torque $\frac{1}{s(s+10)}$Actual cable velocity V(s) Measured velocity Tachometer $K_t$ In its stable operations, the system is required to have a zero steady-state error between the cable's desired velocity $r(t)$ and actual velocity $v(t)$, given a unit step of the velocity reference. Choose the correct statement regarding accuracy and stability of the control system: The tachometer feedback coefficient $K_t$ should be less than 1 and the amplifier gain $K_a$ should be greater than 1.2 The tachometer feedback coefficient $K_t$ should be greater than 1 and the amplifier gain $K_a$ should be less than 1.2 The tachometer feedback coefficient $K_t$ should be 1 and the amplifier gain $K_a$ can be any positive value. The tachometer feedback coefficient $K_t$ can be any positive value and the amplifier gain $K_a$ should be less than 0.6. The tachometer feedback coefficient $K_t$ should be 1 and the amplifier gain $K_a$ should be less than 2.4

          Cable reel control is important in oil and gas industry, for example in offshore drilling. A cable reel
system is depicted below.
The control block diagram of the cable reel drive system is shown below:
Desired
velocity
Amplifier
Motor
Reel
dynamics
R(s)
$K_a$
$\frac{100}{s+2}$Torque
$\frac{1}{s(s+10)}$Actual cable
velocity
V(s)
Measured
velocity
Tachometer
$K_t$
In its stable operations, the system is required to have a zero steady-state error between the cable's
desired velocity $r(t)$ and actual velocity $v(t)$, given a unit step of the velocity reference.
Choose the correct statement regarding accuracy and stability of the control system:
The tachometer feedback coefficient $K_t$ should be less than 1 and the amplifier gain $K_a$ should be greater
than 1.2
The tachometer feedback coefficient $K_t$ should be greater than 1 and the amplifier gain $K_a$ should be less
than 1.2
The tachometer feedback coefficient $K_t$ should be 1 and the amplifier gain $K_a$ can be any positive value.
The tachometer feedback coefficient $K_t$ can be any positive value and the amplifier gain $K_a$ should be less
than 0.6.
The tachometer feedback coefficient $K_t$ should be 1 and the amplifier gain $K_a$ should be less than 2.4

Cable reel control is important in oil and gas industry, for example in offshore drilling. A cable reel
system is depicted below.
The control block diagram of the cable reel drive system is shown below:
Desired
velocity
Amplifier
Motor
Reel
dynamics
R(s)
Ka
(100)/(s+2)Torque
(1)/(s(s+10))Actual cable
velocity
V(s)
Measured
velocity
Tachometer
Kt
In its stable operations, the system is required to have a zero steady-state error between the cable's
desired velocity r(t) and actual velocity v(t), given a unit step of the velocity reference.
Choose the correct statement regarding accuracy and stability of the control system:
The tachometer feedback coefficient Kt should be less than 1 and the amplifier gain Ka should be greater
than 1.2
The tachometer feedback coefficient Kt should be greater than 1 and the amplifier gain Ka should be less
than 1.2
The tachometer feedback coefficient Kt should be 1 and the amplifier gain Ka can be any positive value.
The tachometer feedback coefficient Kt can be any positive value and the amplifier gain Ka should be less
than 0.6.
The tachometer feedback coefficient Kt should be 1 and the amplifier gain Ka should be less than 2.4

Added by Zachary S.

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