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Transformer Current Ratio:
What's Useful and Important to You




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Transformer Current Ratio Calculator

This formula is valid for single phase current ratio


Given primary voltage = 69 kV ; secondary voltage = 12.47 kV
secondary current full load = 1,296.447 A ; Calculate the expected primary current full load

Application of ratio and proportion

1296.447 Amp is 100% of full load rating 1,037.1576 Amp is 80% of full load rating
907.51 Amp is 70% of full load rating 777.868 Amp is 60% of full load rating
648.22 Amp is 50% of full load rating 518.578 Amp is 40% of full load rating
Vpri in kV

Vsec in kV
:
=
:
Isec in Amp

Ipri in Amp



Calculator for estimating instantaneous primary single line to ground fault. For example during primary SLG fault the primary voltage instantly drops to about 8 kV. Primary fault current is expected to be about 2,021 Amperes assuming at that instant of time the transformer is carrying full load rating.




234.3 Amp is 100% of full load rating 187.44 Amp is 80% of full load rating
164.01 Amp is 70% of full load rating 140.58 Amp is 60% of full load rating
117.15 Amp is 50% of full load rating 93.72 Amp is 40% of full load rating
Vpri in kV

Vsec in kV
:
=
:
Isec in Amp

Ipri in Amp



Calculator for estimating instantaneous secondary single line to ground fault. For example during secondary SLG fault the secondary voltage instantly drops to about 1 kV. Secondary fault current is about 16,167 Amperes


When you get your SEL relay fault current report, you can adjust the voltage to approximate the actual recorded relay fault current data. Use the actual secondary voltage and secondary current measurement from PI historian during fault timestamp.

Application of Current Ratio Formula in Estimating Short Circuit Fault Current

Given the nameplate base rating of a transformer: operational current (ampere) data of 320 MVA , 3 Phase Transformer, 525 / 230 kV as shown in table below.

Estimate the snapshot of temporary transient primary short circuit current, when there is SLG Fault in transmission line primary voltage source due to disturbance using the 10 kV instantaneous voltage drop recorded by PI historian during SLG fault.

Voltages(kV) Amperes
525 Primary Voltage 803.29 Secondary Current
230 Secondary Voltage 351.92 Primary Current
Primary Single Line to Gnd Fault Instantaneous or snap shot data
50 kV Primary SLG fault 803.29 Secondary Current
230 Secondary Voltage 3,695 Short Circuit Primary Current


In a no loss , ideal transformer , 100% efficient power transfer is usually assumed.

Power transformer efficiency based on efficiency test report is usually from 95% - 98%. So it is reasonable enough to assume a 100% efficiency.

What does 100% power transfer efficiency means? It means the
power generated in primary winding = power generated in secondary winding

Formula recall of power ( P = I V ).

Power Primary winding = Ip Vp

Power Secondary winding = Is Vs

IpVp = Is Vs

By algebraic manipulation.

Vp / Vs = Is / Ip

By applying this knowledge and using PI historian snapshot value, we can estimate the magnitude of short circuit current and estimate the magnetic forces to the primary or secondary winding of a power transformer depending on where the SLG fault happened. Even better if you have Pi historian data, you can create a streaming data of SLG Fault by using PI expression equation.

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Approximately between 2.3 and 2.5 million schools globally, according to the latest available data from government and education ministry reports.


➡️ USA ~ Public 98,500 ~ Private 30,000 ~ Total 128,500 ➡️ Canada ~ Public 15,500 ~ Private 2,000 ~ Total 17,500 ➡️ Brazil ~ Public 138,000 ~ Private 40,000 ~ Total 178,000 ➡️ Vietnam ~ Public 42,000 ~ Private 8,000 ~ Total 50,000 ➡️ China ~ Public 217,200 ~ Private 152,800 ~ Total 470,000 ➡️ India ~ Public 1,022,386 ~ Private 335,844 ~ Total 1,358,230 ➡️ Japan ~ Public 30,240 ~ Private included ~ Total 30,240 ➡️ Morocco ~ Public 20,600 ~ Private 6,300 ~ Total 26,900 ➡️ Indonesia ~ Public 390,718 ~ Private included ~ Total 390,718 ➡️ Philippines ~ Public 47,831 ~ Private 13,000 ~ Total 60,831 Great Britain ~ Public 29,202 ~ Private included ~ Total 29,202 ➡️ Australia ~ Public 9,653 ~ Private included ~ Total 9,653 ➡️ Russia ~ Public 39,070 ~ Private included ~ Total 39,070 ➡️ Germany ~ Public 31,039 ~ Private included ~ Total 31,039 ➡️ Poland ~ Public 36,291 ~ Private included ~ Total 36,291 ➡️ Iran ~ Public 80,000 ~ Private included ~ Total 80,000 ➡️ France ~ Public 58,100 ~ Private included ~ Total 58,100 ➡️ Mexico ~ Public 132,505 ~ Private included ~ Total 132,505

Use an estimated range of 200 to 400 students per school if student enrollment is the only available data.


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