IDMT Relay Setting Calculations


The IDMT (Inverse Definite Minimum Time) relay is a protective device used in electrical power systems to protect against excessive current. It operates on the principle of inverse time, meaning the longer the overload current persists, the shorter the tripping time. This characteristic is essential for protecting against both short-circuit and overload conditions.

IDMT Relay Setting Calculation

The settings for an IDMT relay typically include:

  • Current Setting (Iset): This is the minimum current value that will cause the relay to operate.
  • Time Setting (Tset): This is the minimum time required for the relay to operate at the current setting.
  • Time Multiplier Setting (TMS): This determines the shape of the relay's inverse time characteristic curve.
Time Multiplier Setting (TMS): 

The calculation of IDMT relay settings involves determining the appropriate values for these parameters based on the specific application and requirements of the protected circuit.

The time multiplier setting (TMS) in an IDMT (Inverse Definite Minimum Time) relay is a crucial parameter that determines the shape of the relay's inverse time characteristic curve. It essentially controls how quickly the relay trips for currents above the current setting.

How TMS Works:

  • Inverse Time Characteristic: An IDMT relay has an inverse time characteristic, meaning the longer the overload current persists, the shorter the tripping time. This is essential for protecting against both short-circuit and overload conditions.
  • TMS Impact: The TMS value determines the steepness of the inverse time curve. A higher TMS value results in a steeper curve, meaning the relay trips faster for lower currents above the current setting. Conversely, a lower TMS value results in a flatter curve, meaning the relay takes longer to trip for lower currents.

Choosing the Right TMS:

The appropriate TMS value depends on several factors:

  • Type of Load: The nature of the load (e.g., motor, transformer) affects the fault current and the required tripping time. For example, a motor load might require a faster tripping time for overload conditions to prevent overheating.
  • System Configuration: The arrangement of components in the power system influences the fault currents and protection requirements.
  • Safety Considerations: The relay settings must be chosen to ensure the safety of personnel and equipment.
  • Coordination: The TMS value should be coordinated with other protective devices in the system to prevent cascading failures.

Example:

Consider two IDMT relays with the same current setting but different TMS values.

  • Relay A: TMS = 0.1
  • Relay B: TMS = 0.5

If both relays are subjected to the same overload current, Relay A will trip faster than Relay B due to its steeper inverse time curve. This might be suitable for applications where quick protection is required for overload conditions.

In Summary:

The time multiplier setting (TMS) is a vital parameter in IDMT relays that controls the shape of the inverse time characteristic curve. By selecting the appropriate TMS value, engineers can ensure that the relay provides effective protection for electrical power systems while minimizing unnecessary interruptions.

Steps Involved in IDMT Relay Setting Calculation:

  1. Determine the Fault Current: Calculate the maximum and minimum fault currents that can occur in the protected circuit. This information can be obtained from fault studies or system data.
  2. Select the Current Setting: Choose an Iset value that is slightly higher than the maximum expected overload current but lower than the minimum fault current. This ensures that the relay will operate for faults but not for normal operating conditions.
  3. Calculate the Time Setting: Determine the desired tripping time for the relay at the current setting. This depends on the type of load and the required protection speed.
  4. Select the Time Multiplier Setting: Choose a TMS value that provides the appropriate inverse time characteristic curve. Higher TMS values result in a faster tripping time for lower currents.
  5. Verify the Settings: Simulate the relay's operation under various fault conditions to ensure that it provides adequate protection without unnecessary tripping.

Example Calculation:

Consider a 100A circuit breaker protecting a motor. The maximum overload current is 120A, and the minimum fault current is 500A. The desired tripping time for a 200A fault is 1 second.

  1. Current Setting: Iset = 130A
  2. Time Setting: Tset = 1 second
  3. Time Multiplier Setting: TMS = 0.1 (based on the desired tripping time and inverse time characteristic)

IDMT Relay Curve:

The IDMT relay curve shows the relationship between the fault current and the tripping time. The curve is typically logarithmic, with the tripping time decreasing as the fault current increases.

Factors Affecting IDMT Relay Settings:

  • Type of Load: The nature of the load (e.g., motor, transformer) affects the fault current and the required tripping time.
  • System Configuration: The arrangement of components in the power system influences the fault currents and protection requirements.
  • Safety Considerations: The relay settings must be chosen to ensure the safety of personnel and equipment.
  • Coordination: The relay settings should be coordinated with other protective devices in the system to prevent cascading failures.

By carefully calculating the IDMT relay settings, it is possible to provide effective protection for electrical power systems while minimizing unnecessary interruptions.

Example 

IDMT Relay Calculation for 11kV, 1600 kVA Transformer

Understanding the Components:

  • IDMT Relay: An Inverse Definite Minimum Time relay is used to protect electrical circuits from excessive currents. It has a characteristic where the tripping time decreases as the fault current increases.
  • Transformer: A 11kV, 1600 kVA transformer is a device that steps up or steps down the voltage of an electrical system.

Calculation Steps:

  1. Determine the Full Load Current (FLC):
    • FLC = Apparent Power / (√3 * Line Voltage)
    • FLC = 1600 kVA / (√3 * 11 kV) ≈ 84.5 A
  2. Select Current Setting (Iset):
    • Iset should be slightly higher than the FLC to avoid nuisance tripping.
    • Typically, Iset is set to 1.25 * FLC.
    • So, Iset = 1.25 * 84.5 A ≈ 105.6 A
  3. Calculate Time Multiplier Setting (TMS):
    • TMS is a factor that determines the shape of the inverse time curve.
    • TMS = 5 is a common value for transformer protection.
  4. Determine Trip Time for Different Fault Currents:
    • Use the IDMT relay's inverse time curve to calculate the trip time for different fault currents.
    • For example, for a fault current of 1000 A, the trip time might be around 0.5 seconds.

Example Calculation using an IDMT Relay Curve:

Fault CurrentTrip Time
500 A3 seconds
1000 A1 second
2000 A0.5 seconds

Coordination with Other Protective Devices:

  • The IDMT relay's settings should be coordinated with other protective devices in the system, such as circuit breakers and fuses, to ensure proper protection and prevent cascading failures.
  • Coordination involves ensuring that the relay trips before the protected equipment is damaged but after upstream protective devices have had time to operate.

Additional Considerations:

  • Fault Analysis: Conduct a fault analysis to determine the expected fault currents in the system. This will help in selecting the appropriate Iset and TMS values.
  • Relay Manufacturer's Recommendations: Refer to the relay manufacturer's guidelines for specific recommendations on settings and applications.
  • Sensitivity: Ensure that the relay is sensitive enough to detect faults but not so sensitive that it trips unnecessarily.
  • Maintenance: Regularly inspect and maintain the relay to ensure its proper functioning.

By following these steps and considering the additional factors, you can effectively calculate the IDMT relay settings for a 11kV, 1600 kVA transformer to provide reliable protection against excessive currents.

IDMT Relay Calculation for Earth Fault Relay on 11kV, 1600 kVA Transformer

Understanding the Components:

  • IDMT Relay: An Inverse Definite Minimum Time relay is used to protect electrical circuits from excessive currents.
  • Earth Fault Relay: A specific type of relay designed to detect and protect against faults that occur between a live conductor and earth.
  • Transformer: A 11kV, 1600 kVA transformer is a device that steps up or steps down the voltage of an electrical system.

Calculation Steps:

  1. Determine the Full Load Current (FLC):
    • FLC = Apparent Power / (√3 * Line Voltage)
    • FLC = 1600 kVA / (√3 * 11 kV) ≈ 84.5 A
  2. Select Current Setting (Iset):
    • For earth fault relays, Iset is typically set to a fraction of the FLC to detect sensitive earth faults.
    • A common value for earth fault relays is 10% to 20% of the FLC.
    • So, Iset could be between 8.45 A and 16.9 A.
  3. Calculate Time Multiplier Setting (TMS):
    • TMS is a factor that determines the shape of the inverse time curve.
    • For earth fault relays, TMS is often set to a lower value to ensure rapid tripping for sensitive faults.
    • A typical value could be TMS = 0.5.
  4. Determine Trip Time for Different Fault Currents:
    • Use the IDMT relay's inverse time curve to calculate the trip time for different fault currents.
    • For example, for an earth fault current of 10 A, the trip time might be around 1 second.

Example Calculation using an IDMT Relay Curve:

Fault CurrentTrip Time
5 A3 seconds
10 A1 second
20 A0.5 seconds

Coordination with Other Protective Devices:

  • The earth fault relay's settings should be coordinated with other protective devices in the system, such as circuit breakers and fuses, to ensure proper protection and prevent cascading failures.
  • Coordination involves ensuring that the earth fault relay trips before the protected equipment is damaged but after upstream protective devices have had time to operate.

Additional Considerations:

  • Sensitivity: Ensure that the earth fault relay is sensitive enough to detect small earth faults but not so sensitive that it trips unnecessarily.
  • Earth Fault Current: Estimate the expected earth fault current in the system to help in selecting the appropriate Iset and TMS values.
  • Relay Manufacturer's Recommendations: Refer to the relay manufacturer's guidelines for specific recommendations on settings and applications.
  • Maintenance: Regularly inspect and maintain the earth fault relay to ensure its proper functioning.

By following these steps and considering the additional factors, you can effectively calculate the IDMT relay settings for an earth fault relay on a 11kV, 1600 kVA transformer to provide reliable protection against earth faults.


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