Transformer Differential Protection Calculation involves the application of protective relays to detect and respond to internal faults in power transformers. The primary purpose is to safeguard the transformer from damage by quickly isolating it from the power system when a fault occurs. Here's a simplified overview of the calculation process:
Current Transformer (CT) Ratios:
- Determine the primary and secondary current transformer ratios. These ratios are crucial for converting the primary current (transformer winding current) into a manageable secondary current for relay operation.
Instrument Transformer Correction Factors:
- Apply correction factors for instrument transformer errors, ensuring accurate representation of the primary currents in the calculations.
Setting the Relay Pick-up Current:
- Set the pick-up current for the differential relay. This value is chosen to ensure sensitivity to internal faults while avoiding unnecessary tripping during normal operating conditions.
Restraint Current Setting:
- Establish a restraint current setting to prevent false tripping during external faults. The restraint current is typically set higher than the maximum expected magnetizing current.
Percentage Differential Setting:
- Calculate the percentage differential setting, which is the ratio of the difference between the operating and restraint currents to the restraint current. This setting helps ensure the relay only trips for significant internal faults.
Harmonic Restraint:
- Consider harmonic restraint to avoid false tripping caused by harmonic currents. This involves filtering out harmonics or adjusting the relay settings accordingly.
CT Saturation Compensation:
- Implement compensation for CT saturation during high fault currents. This ensures accurate operation of the differential relay under all conditions.
Transformer Inrush Restraint:
- Include features to restrain tripping during transformer inrush conditions, which can mimic fault currents. Special algorithms or additional elements may be employed for inrush detection.
Testing and Verification:
- Conduct thorough testing of the differential protection system to validate its performance. This includes primary and secondary injection testing, as well as testing under various fault scenarios.
It's crucial to note that the specific calculations and settings may vary based on the transformer type, size, and application. Engineers must adhere to relevant industry standards and guidelines while considering factors such as transformer impedance, winding configuration, and system characteristics. Regular maintenance and periodic testing are essential to ensure the ongoing reliability of transformer differential protection.

