Home Subjects Electrical Engg (EEE)

Electrical Engg (EEE)

Electrical machines, power systems, circuits

321 Q 7 Topics Take Mock Test
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Difficulty: All Easy Medium Hard 141–150 of 321
Topics in Electrical Engg (EEE)
Q.141 Medium Control Systems
In a compensated system, if phase margin PM = 30° and gain margin GM = 8 dB, this indicates:
A Excellent stability with fast response
B Marginal stability with oscillatory response
C Good stability with acceptable transient response
D Poor stability requiring redesign
Correct Answer:  C. Good stability with acceptable transient response
EXPLANATION

PM = 30° is acceptable (typically 30-60°), GM = 8 dB (>6 dB threshold) indicates good gain stability. Both margins suggest satisfactory performance

Test
Q.142 Medium Control Systems
In a unity feedback system, increasing loop gain K generally:
A Increases steady-state error and decreases stability margins
B Decreases steady-state error but may reduce stability margins
C Increases both steady-state error and stability
D Has no effect on steady-state error
Correct Answer:  B. Decreases steady-state error but may reduce stability margins
EXPLANATION

Higher K reduces ess proportionally but shifts root locus rightward, potentially crossing into RHP, thus reducing stability margins

Test
Q.143 Medium Control Systems
A system has poles at -2±j3. The natural frequency and damping ratio are approximately:
A ωn = √13, ζ = 0.55
B ωn = √13, ζ = 1.45
C ωn = 5, ζ = 0.4
D ωn = 3, ζ = 0.67
Correct Answer:  A. ωn = √13, ζ = 0.55
EXPLANATION

ωn = √(4+9) = √13 ≈ 3.6 rad/s, ζ = 2/√13 ≈ 0.55

Test
Q.144 Medium Control Systems
Which compensator is preferred for improving steady-state error without significantly affecting transient response?
A Lead compensator
B Lag compensator
C PID controller
D Proportional controller
Correct Answer:  B. Lag compensator
EXPLANATION

Lag compensator increases DC gain significantly, improving steady-state error, while its phase lag is restricted to lower frequencies, minimizing transient effects

Test
Q.145 Medium Control Systems
For an underdamped second-order system, the relationship between settling time ts and damping ratio ζ is:
A ts ∝ 1/ζ
B ts ∝ ζ
C ts ∝ 1/(ζωn)
D ts ∝ ωn/ζ
Correct Answer:  C. ts ∝ 1/(ζωn)
EXPLANATION

Settling time ts ≈ 4/(ζωn) for 2% criterion, thus ts ∝ 1/(ζωn)

Test
Q.146 Medium Control Systems
In state-space representation, if eigenvalues of A matrix are at s = -1, -2, -3, the system is:
A Unstable and uncontrollable
B Stable but may be uncontrollable
C Stable and controllable
D Marginally stable
Correct Answer:  B. Stable but may be uncontrollable
EXPLANATION

Stability depends only on eigenvalue locations (all in LHP = stable). Controllability requires rank[B AB A²B] = n, which eigenvalues alone don't determine

Test
Q.147 Medium Control Systems
A lead compensator Gc(s) = K(s+a)/(s+b) where b > a provides maximum phase lead at frequency:
A ωm = √(ab)
B ωm = (a+b)/2
C ωm = a·b
D ωm = b/a
Correct Answer:  A. ωm = √(ab)
EXPLANATION

For lead compensator, maximum phase lead occurs at ωm = 1/√(τ₁τ₂) where τ₁ = 1/a and τ₂ = 1/b, giving ωm = √(ab)

Test
Q.148 Medium Control Systems
What is the effect of adding a pole at the origin to a stable open-loop system?
A Increases phase margin, decreases gain margin
B Decreases phase margin, increases gain margin
C Decreases both phase and gain margins
D Increases both margins equally
Correct Answer:  C. Decreases both phase and gain margins
EXPLANATION

Adding a pole at origin adds -90° phase shift at all frequencies, decreasing phase margin. It also reduces high-frequency gain, decreasing gain margin

Test
Q.149 Medium Control Systems
For a second-order system with ζ = 0.5 and ωn = 4 rad/s, what is the peak overshoot?
A 16.3%
B 23.5%
C 28.4%
D 35.2%
Correct Answer:  A. 16.3%
EXPLANATION

Peak overshoot = exp(-ζπ/√(1-ζ²))·100% = exp(-0.5π/√0.75)·100% ≈ 16.3%

Test
Q.150 Medium Control Systems
In a Bode plot, what is the phase margin when the gain crossover frequency equals the phase crossover frequency?
A 0° always
B 90°
C 180°
D Undefined
Correct Answer:  A. 0° always
EXPLANATION

At the gain crossover frequency, magnitude is 0 dB. When this equals phase crossover frequency, the phase is -180°, giving phase margin = -180° - (-180°) = 0°

Test
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