Monday, October 6, 2025

Power System Operation, Control, and Economic Load Dispatch (with GATE PYQs)

 Q251. The main objective of power system operation is:

A) Reliable and economical supply of electricity
B) Maximum generation
C) Frequency increase
D) None
Ans: A


Q252. Economic load dispatch deals with:
A) Minimizing generation cost
B) Maximizing generation
C) Reducing losses only
D) None
Ans: A


Q253. The incremental fuel cost curve represents:
A) dC/dP versus P
B) Cost versus voltage
C) Power factor versus P
D) None
Ans: A


Q254. In economic load dispatch (ELD), all units operating optimally have:
A) Equal incremental cost
B) Equal power output
C) Equal losses
D) None
Ans: A


Q255. The penalty factor accounts for:
A) Transmission losses
B) Generation cost
C) Frequency deviation
D) None
Ans: A


Q256. The coordination equation for ELD with losses is:
A) dCidPi=λ/Pgi\frac{dC_i}{dP_i} = λ / P_{gi}
B) dCidPi=λ×PFi\frac{dC_i}{dP_i} = λ \times PF_i
C) dCidPi=λ×Li\frac{dC_i}{dP_i} = λ × L_i
D) dCidPi=λ×Pgi\frac{dC_i}{dP_i} = λ × P_{gi}
Ans: C


Q257. Lambda (λ) in ELD represents:
A) Incremental cost of power
B) Load demand
C) Loss factor
D) None
Ans: A


Q258. The cost function of a generating unit is generally:
A) Quadratic
B) Linear
C) Exponential
D) None
Ans: A


Q259. The general fuel cost equation is:
A) C=a+bP+cP2C = a + bP + cP^2
B) C=aP2+bP+cP3C = aP^2 + bP + cP^3
C) C=bPC = bP
D) None
Ans: A


Q260. The incremental cost of generation is:
A) dCdP=b+2cP\frac{dC}{dP} = b + 2cP
B) C/PC/P
C) a+b+ca + b + c
D) None
Ans: A


Q261. Transmission loss formula (approximate) is:
A) PL=ijPiBijPjP_L = \sum_i \sum_j P_i B_{ij} P_j
B) PL=iPiP_L = \sum_i P_i
C) PL=BiPiP_L = B_i P_i
D) None
Ans: A


Q262. The B-coefficients represent:
A) Loss coefficients
B) Generation coefficients
C) Frequency factors
D) None
Ans: A


Q263. The penalty factor for plant i is:
A) PFi=1/(1PL/Pi)PF_i = 1 / (1 - ∂P_L/∂P_i)
B) PFi=(1+PL/Pi)PF_i = (1 + ∂P_L/∂P_i)
C) PFi=(1PL/Pi)PF_i = (1 - ∂P_L/∂P_i)
D) None
Ans: A


Q264. In an optimal dispatch with losses:
A) λ=Ci/PiPFiλ = \frac{∂C_i/∂P_i}{PF_i}
B) λ=Ci/Pi×PFiλ = ∂C_i/∂P_i × PF_i
C) λ=Ci×PFiλ = C_i × PF_i
D) None
Ans: A


Q265. Economic dispatch neglects:
A) Transmission losses
B) Fuel cost
C) Generation limits
D) None
Ans: A


Q266. Unit commitment problem involves:
A) Deciding which units to run and when
B) Cost curve optimization
C) Power factor correction
D) None
Ans: A


Q267. Constraints in unit commitment include:
A) Minimum up/down time
B) Ramp rate limits
C) Spinning reserve
D) All
Ans: D


Q268. Spinning reserve is:
A) Extra capacity available online
B) Offline capacity
C) Transmission backup
D) None
Ans: A


Q269. The load-frequency control maintains:
A) System frequency constant
B) System voltage
C) Power factor
D) None
Ans: A


Q270. The speed governor controls:
A) Turbine input
B) Field voltage
C) Excitation current
D) None
Ans: A


Q271. The relation between frequency and load is:
A) Inversely proportional
B) Directly proportional
C) Independent
D) None
Ans: A


Q272. The primary control in LFC is provided by:
A) Governor
B) AVR
C) Turbine
D) None
Ans: A


Q273. The secondary control in LFC is:
A) Automatic generation control (AGC)
B) Speed governor
C) Exciter
D) None
Ans: A


Q274. Area Control Error (ACE) =
A) ΔPtie+BΔfΔP_{tie} + BΔf
B) ΔP+ΔVΔP + ΔV
C) Δf/ΔPΔf / ΔP
D) None
Ans: A


Q275. The frequency bias factor (B) is used to:
A) Stabilize tie-line frequency control
B) Control excitation
C) Measure loss
D) None
Ans: A


Q276. Integral controller in AGC eliminates:
A) Steady-state frequency error
B) Transients
C) Voltage dips
D) None
Ans: A


Q277. The governor droop characteristic defines:
A) Speed vs load change
B) Voltage vs reactive power
C) Current vs time
D) None
Ans: A


Q278. In a two-area system, ACE of each area is controlled to:
A) Zero
B) One
C) Constant
D) None
Ans: A


Q279. The load frequency characteristic of an area is also called:
A) Power-frequency characteristic
B) Power-voltage characteristic
C) Frequency-reactive curve
D) None
Ans: A


Q280. The tie-line power deviation depends on:
A) Δδ (angular difference between areas)
B) Voltage difference
C) Frequency difference
D) None
Ans: A


Q281. The tie-line power flow equation is:
A) P12=V1V2Xsin(δ1δ2)P_{12} = \frac{V_1V_2}{X} \sin(δ_1 - δ_2)
B) P=VIcosφP = VI \cos φ
C) P=V2/XP = V^2 / X
D) None
Ans: A


Q282. A positive ACE indicates:
A) Area is over-generating
B) Area is under-generating
C) Both
D) None
Ans: A


Q283. Automatic Generation Control (AGC) acts on:
A) Governor set point
B) Field current
C) Transformer tap
D) None
Ans: A


Q284. The main objective of AGC is to maintain:
A) Frequency and tie-line power
B) Voltage
C) Reactive power
D) None
Ans: A


Q285. Economic dispatch and AGC can be coordinated by:
A) λ–ΔP controller
B) Frequency controller
C) Speed governor
D) None
Ans: A


Q286. The incremental rate of change of load with frequency is called:
A) Frequency sensitivity factor
B) Power factor
C) Regulation constant
D) None
Ans: A


Q287. The composite frequency response characteristic =
A) B=β1+β2B = β_1 + β_2
B) B=Δf/ΔPB = Δf / ΔP
C) B=P/fB = P / f
D) None
Ans: A


Q288. Load damping constant represents:
A) Change in load with frequency deviation
B) Speed deviation
C) Phase angle
D) None
Ans: A


Q289. Voltage control in generators is done by:
A) Automatic Voltage Regulator (AVR)
B) Governor
C) Transformer tap
D) None
Ans: A


Q290. The excitation system provides control over:
A) Terminal voltage and reactive power
B) Speed
C) Real power
D) None
Ans: A


Q291. Over-excitation in AVR leads to:
A) High terminal voltage
B) Low terminal voltage
C) Constant voltage
D) None
Ans: A


Q292. Exciter ceiling voltage defines:
A) Maximum voltage output
B) Minimum excitation
C) Normal voltage
D) None
Ans: A


Q293. The steady-state frequency deviation is inversely proportional to:
A) Regulation constant (R)
B) Governor gain
C) Load
D) None
Ans: A


Q294. High governor gain implies:
A) Faster response
B) Slower response
C) No effect
D) None
Ans: A


Q295. The transient response of LFC is improved by:
A) Integral controller
B) Derivative controller
C) Both
D) None
Ans: C


Q296. The tie-line bias control ensures:
A) Frequency restoration
B) Constant voltage
C) Power factor correction
D) None
Ans: A


Q297. The steady-state tie-line power deviation after control =
A) Zero
B) 1 pu
C) Constant
D) None
Ans: A


Q298. The droop of a governor is typically:
A) 4–5%
B) 10%
C) 1%
D) None
Ans: A


Q299. The time constant of a turbine is typically:
A) 3–10 seconds
B) 0.1 seconds
C) 1 minute
D) None
Ans: A


Q300. The primary and secondary control together maintain:
A) Frequency and tie-line interchange
B) Voltage
C) Power factor
D) None
Ans: A

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