This question was asked inGPSC Deputy Executive Engineer (Electrical) Class-2 Master Paper 2026Question 105 of 195 published · Gujarat Public Service CommissionOpen paper
Q105ModerateTransmission Lines

નીચેનાં વિધાનો ધ્યાનમાં લો: પારેષણ લાઇનનું સર્જ ઇમ્પીડન્સ લોડિંગ (SIL) વધારી શકાય છે
1. તેનું વોલ્ટેજ સ્તર વધારીને
2. સમાંતરમાં લમ્પ્ડ પ્રેરકત્વ ઉમેરીને
3. શ્રેણીમાં લમ્પ્ડ ધારિતા ઉમેરીને
4. લાઇનની લંબાઈ ઘટાડીને
આમાંથી કયાં વિધાનો સાચાં છે?

જવાબ અને પગલાવાર ઉકેલ
સાચો જવાબ: A. ફક્ત 1 અને 3
ટૂંકી સમજૂતી

A — ફક્ત 1 અને 3. SIL ≈ V²/Zc; વોલ્ટેજ વધારવાની અસર વર્ગમાં થાય છે, અને શ્રેણી કેપેસિટર અસરકારક શ્રેણી રિએક્ટન્સ/Zc ઘટાડીને SIL વધારે છે. શંટ પ્રેરકત્વ Zc વધારે છે અને લંબાઈ મૂળ SIL સૂત્રમાં નથી.

વિગતવાર ઉકેલ (મૂળ ભાષામાં)

Statement-wise Verification

  • Statement 1 - Correct.
    increasing its voltage level
    Higher voltage has a squared effect on SIL.
  • Statement 2 - Incorrect.
    addition of lumped inductance in parallel
    The correct principle is: Surge impedance loading is the power at which a transmission line's reactive generation by capacitance approximately balances reactive absorption by inductance.
  • Statement 3 - Correct.
    addition of lumped capacitance in series
    Surge impedance loading is the power at which a transmission line's reactive generation by capacitance approximately balances reactive absorption by inductance.
  • Statement 4 - Incorrect.
    reducing the length of the line
    The correct principle is: SIL≈V_LL²/Z_c.

Core Concept

Surge impedance loading is the power at which a transmission line's reactive generation by capacitance approximately balances reactive absorption by inductance. It scales as voltage squared divided by surge impedance. Series capacitive compensation reduces effective series reactance/surge impedance and therefore can increase SIL.

Formula / Key Relationship

SIL≈V_LL²/Z_c.

Why the Other Options Are Wrong

Option B is incorrect because it includes incorrect statement(s) 2, 4 and omits correct statement(s) 1, 3. Option C is incorrect because it includes incorrect statement(s) 4 and omits correct statement(s) 3. Option D is incorrect because it includes incorrect statement(s) 4 and omits correct statement(s) 1.

Exam Shortcut / Approach

Higher voltage has a squared effect on SIL.

Common Mistake

Line length itself is not the defining variable in the basic SIL formula.

Quick Revision

SIL and Series Compensation is linked with Surge Impedance Loading, Transmission Lines and Power Systems. Higher voltage has a squared effect on SIL.

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