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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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ElectricalPower System
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If voltage surge represented by 5/50 µs then at 50 µs value of voltage will be

A

Zero

B

Peak

C

Half of the Peak

D

None of above

Correct Answer

Concept & PrincipleElectricalPower System
Option B

Peak

Quick Summary: A voltage surge or impulse wave is defined by its rise time and tail time. In the notation $T_1 / T_2 \,\mu s$, $T_1$ represents the time to reach the peak value (virtual front time), and $T_2$ represents the time taken for the voltage to decrease to half of its peak value (virtual tail time).

💡 Explanation

A voltage surge or impulse wave is defined by its rise time and tail time. In the notation T1/T2 μsT_1 / T_2 \,\mu sT1​/T2​μs, T1T_1T1​ represents the time to reach the peak value (virtual front time), and T2T_2T2​ represents the time taken for the voltage to decrease to half of its peak value (virtual tail time).

🔢 Key Formulas

V(t)=V0(e−αt−e−βt)V(t) = V_0(e^{-\alpha t} - e^{-\beta t})V(t)=V0​(e−αt−e−βt) — represents the standard impulse voltage wave equation

⚙️ Working Principle

The impulse voltage waveform is generated in high-voltage laboratories to simulate lightning surges. The wave rises rapidly to a crest value VpeakV_{peak}Vpeak​ and decays exponentially. By standard international convention (IEC), the tail time T2T_2T2​ is defined as the time interval between the virtual origin and the instant the voltage falls to 50%50\%50% of the peak amplitude on the tail portion of the wave.

📌 Key Points
  • ▸

    A 5/50 μs5/50 \,\mu s5/50μs wave means the virtual front time is 5 μs5 \,\mu s5μs.

  • ▸

    The virtual tail time is 50 μs50 \,\mu s50μs.

  • ▸

    Standard testing impulse waves are defined by these two parameters to ensure consistency in insulation breakdown testing.

  • ▸

    The virtual origin is determined by the intersection of the line through the 30%30\%30% and 90%90\%90% points on the front of the wave with the zero axis.

✅ Advantages
  • ▸

    Provides standardized stress testing for high-voltage equipment

  • ▸

    Allows simulation of lightning strokes in a controlled laboratory environment

❌ Disadvantages / Limitations
  • ▸

    Requires high-cost impulse generators

  • ▸

    Extreme precision needed for pulse shaping circuits

🛠️ Applications / Uses
  • ▸

    Testing transformers for Basic Insulation Level (BIL)

  • ▸

    Dielectric strength testing of power cables and switchgear

📄 Additional Information
  • ▸

    The 5/50 µs wave is a common standard wave used for lightning impulse testing of electrical equipment.

  • ▸

    Option B is incorrect because the peak occurs at T1T_1T1​ (5 µs), not at the tail time.

📊 Diagram / Illustration
Peak (100%)T2 = 50 µs50% VpeakTime (µs)Voltage
✅

C is correct — By convention, the second number in the impulse notation denotes the time at which the voltage magnitude decays to 50% of its peak value.

Core Concepts Used
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Impulse Voltage Waveform Basic Insulation Level (BIL) High Voltage Testing
💡 EXAM TIP

Remember that in lightning impulse notation, the first number is always shorter than the second; if you see a notation like 1.2/50, it is the standard lightning impulse wave.

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