
Learn transformer differential protection calculations for a 100 MVA 132/33 kV transformer, including vector group and impedance. Compensate current differences from transformation ratio and phase shift to set differential relay.
Calculate the full load current for a three-phase transformer on the HV and LV sides using S = sqrt(3) V I, with example values for differential protection calculations.
Explore how on-load tap changers cause voltage variations on a transformer. See how 132 kV high-side and 12 kV low-side voltages shift with tap positions and affect differential protection calculations.
Explore how short-circuit MVA relates to transformer percentage impedance and how to calculate fault currents for phase-to-ground and three-phase faults to inform differential protection settings.
Compute short-circuit currents on high- and low-voltage sides of a transformer for plus/minus 10% tap positions using short-circuit MVA and full-load current divided by percentage impedance.
Compute secondary currents on the hv and lv sides from full-load amps using KT and CD ratios, then apply correction factors to yield per-unit differential currents.
Calculate hv current at plus and minus 10% taps, convert to secondary via kt ratio, apply the correction factor, and report differential current in p.u.
Compute the bias current and differential current for transformer differential protection, using the operating and restraining currents, and set pickup values to account for CT and relay errors.
Compute slope one at 30% to offset steady-state magnetizing current, on-load tip changer, KT error, and safety margins; slope two at 80% with 1.2 pu bias governs true fault stability.
Set the high set differential protection above the maximum through fault current to maintain magnetizing inrush immunity; if exceeded, it trips immediately, with 10.5 per unit and a 30% margin.
Dear All,
Differential protection is the main protection for any transformer. Differential protection is also called as unit protection scheme, it mean that it will operate in case of in zone fault and at through faults differential protection should not operate.
Trainer Introduction:
Your trainer brings over 21 years of experience in operation & maintenance, erection, testing, project management, consultancy, supervision, substation automation, SCADA, and commissioning. With a background spanning power plants, high voltage substations, and HVDC installations, he has worked with renowned organizations such as Siemens Saudi Arabia. He has been involved in over 20 high-voltage substation projects across Pakistan and Saudi Arabia.
His expertise encompasses a wide range of areas including protection systems, substation automation systems, design, testing, and commissioning of power generation systems, high voltage switchgear, protection relays, and control schemes. He has a proven track record of leading testing and commissioning teams for implementing electrical infrastructure projects for industrial clients, including steel and petrochemical industries.
A practical transformers and CTs pose some challenge to Differential Protection. They are as follows:
The primary of transformer will carry no load current even when the secondary is open circuited. This will lead to differential current on which the protection scheme should not operate.
It is not possible to exactly match the CT ratio as per equation. This would also lead to differential currents under healthy conditions.
If the transformer is used with an off nominal tap, then differential currents will arise as the CT ratio calculated for a particular Tap (Nominal Tap) will be different for different Tap, even under healthy conditions.
To prevent the Differential Protection scheme from picking up under such conditions, a Percentage Differential Protection scheme is used. It improves security at the cost of sensitivity.
In Percentage Differential Protection, we provide a slope feature to the Differential Protection Relay. In modern Numerical Differential protection Relay two slopes are provided.
In this course, we will perform the setting calculation of 100MVA transformer with following data:
Transformer rating: 100 MVA
HV side voltage: 132 kV
LV side voltage: 33 kV
Vector group: YNd1
Impedance: 12.5 %
HV side current: 437.4 A
LV side current : 1749.5 A
Tap range : ±10%
Primary CT ratio : 500/1 A
Secondary CT ratio : 1800/1 A
Further we will calculate:
Full load amperes
Short circuit MVA
Short circuit current at HV & LV sides
relationship between short circuit MVA and percentage impedance of transformer
Magnitude and phase angle error and its compensation
CT error and its compensation
Operating and restraining currents
Pickup current calculations
Slope 1 & 2 calculations
Harmonics blocking calculations
Through fault stability calculations
Best Regards