Conversion using the Current Transformer Ratio Calculation Formula
The CT Ratio (Current Transformer Ratio) formula is:
- Primary Current (I₁) = is the current flowing on the high-current side (primary side) of the transformer.
- Secondary Current (I₂) = is the current on the low-current side (secondary side) of the transformer.
Where:
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To use the CT Ratio Calculator, follow these simple steps:
- Enter the Primary Current (I₁): Input the current on the high-current (primary) side of the transformer. The higher measurement of amperes (A) defines this value.
- Enter the Secondary Current (I₂): Input the current on the low-current (secondary) side of the transformer. The measured quantity on the secondary side typically holds a reduced value compared to the first-side input, which both count in amperes (A).
- V After entering the primary and secondary current values, the CT Ratio will be calculated automatically using the formula: CT Ratio = I1 / I2. This ratio indicates how much the primary current is scaled down to the secondary current.
- Interpret the Result: The calculation output provides the CT ratio, which becomes necessary for choosing the proper current transformer for protective and measurement purposes. A CT ratio equal to 200:1 indicates current reduction by 200 times between the 1000A primary and 5A secondary currents.
Current Transformer Ratio conversion chart
Primary Current (I₁) in Amperes | Secondary Current (I₂) in Amperes | CT Ratio |
---|---|---|
1000A | 5A | 200:1 |
1500A | 5A | 300:1 |
500A | 1A | 500:1 |
800A | 4A | 200:1 |
100A | 1A | 100:1 |
Frequently Asked Questions - CT Ratio Calculate Conversion FAQs:
How do you calculate CT ratio for electrical systems?
Calculate the CT ratio by dividing the primary current by the required secondary current (typically 5 A or 11 A). For example, for a 400A load with 5A secondary, the CT ratio is 400:5 (or 80:1). This ensures accurate current measurement.
What is the relationship between CT burden and ratio accuracy?
CT burden affects ratio accuracy. Calculate maximum burden using Burden (VA) = I²secondary × Z, where Z is impedance. For example, a 5A secondary CT with a 0.5Ω burden has a 12.5VA burden rating.
How do you determine CT sizing for motor protection?
Size CT based on motor FLA (full load amperes): CT primary rating ≥ 1.25 × FLA. For example, a 100A motor requires a minimum 125A primary CT rating for proper protection.
Why is proper CT ratio selection important for metering?
CT ratio affects measurement accuracy and protection system operation. Improper ratio can cause metering errors and protection misoperation. Select a ratio to use 40-100% of the CT primary rating.
How do you calculate CT secondary current?
Calculate using Isecondary = (Iprimary × CTsecondary) / CTprimary. For example, with 800:5 CT and 400A primary current, secondary current is 2.5A.