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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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Plug setting multiplier (PSM) is given by

A

Fault current/Peak up current

B

Peak up current/Fault current

C

Fault voltage/Fault current

D

None of above

Correct Answer

Concept & PrincipleElectricalPower System
Option A

Fault current/Peak up current

Quick Summary: The Plug Setting Multiplier (PSM) is a dimensionless ratio used to determine the operating time of an IDMT (Inverse Definite Minimum Time) relay. It is defined as the ratio of the actual fault current flowing through the relay coil to the relay's rated pick-up current.

💡 Explanation

The Plug Setting Multiplier (PSM) is a dimensionless ratio used to determine the operating time of an IDMT (Inverse Definite Minimum Time) relay. It is defined as the ratio of the actual fault current flowing through the relay coil to the relay's rated pick-up current.

🔢 Key Formulas

PSM=Secondary Fault CurrentRated Plug Setting CurrentPSM = \frac{\text{Secondary Fault Current}}{\text{Rated Plug Setting Current}}PSM=Rated Plug Setting CurrentSecondary Fault Current​

⚙️ Working Principle

When a fault occurs, the secondary current of the Current Transformer (CT) flows through the relay coil. The relay is set to operate at a specific 'plug setting' (pick-up current). The PSM determines the point on the inverse-time characteristic curve where the relay operates; a higher PSM results in a faster operating time for the relay.

📌 Key Points
  • ▸

    PSM is independent of the Time Multiplier Setting (TMS).

  • ▸

    It helps identify the operating time on the relay's standard characteristic curve.

  • ▸

    The pick-up current is calculated as: Ip=Rated Secondary Current×Plug Setting%I_p = \text{Rated Secondary Current} \times \text{Plug Setting} \%Ip​=Rated Secondary Current×Plug Setting%.

  • ▸

    Typically, relays have plug settings ranging from 50% to 200% in steps.

✅ Advantages
  • ▸

    Allows adjustment of relay sensitivity for different fault levels.

  • ▸

    Enables coordination between series-connected relays in power systems.

❌ Disadvantages / Limitations
  • ▸

    Complexity in setting selection for varying load conditions.

  • ▸

    Incorrect settings can lead to nuisance tripping or failure to clear faults.

🛠️ Applications / Uses
  • ▸

    Overcurrent protection of transmission lines.

  • ▸

    Protection of power transformers and switchgear.

📄 Additional Information
  • ▸

    The 'Pick-up current' is also referred to as the 'Relay setting current'.

  • ▸

    Option B is the inverse, which is not physically meaningful in this context.

  • ▸

    Option C refers to impedance, not the relay characteristic ratio.

📊 Diagram / Illustration
Plug Setting Multiplier (PSM)
Fault Current (IfI_fIf​)
Pick-up Current (IpI_pIp​)
✅

A is correct — The PSM is defined as the ratio of the fault current in the relay coil to the relay pick-up current.

Core Concepts Used
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IDMT Relay Characteristics Relay Coordination Protection Engineering
💡 EXAM TIP

Always ensure the CT ratio is accounted for when calculating the 'Fault current' reaching the relay, as Irelay=Ifault×1CTratioI_{relay} = I_{fault} \times \frac{1}{CT_{ratio}}Irelay​=Ifault​×CTratio​1​.

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