
Image: Flickr user Toni F.
Designing transformers to take advantage of low duty cycle applications can save on physical size and potentially reduce the initial hardware investment. But this approach can quickly lead to component failures and loss of investment, particularly in cases when the specifying engineer miscalculates duty cycle.
1.) On-Off cycle must be considerably shorter than the thermal time constant of the transformer.
- Thermal time constants for transformers are usually expressed in hours.
- A 50 KVA, 100% duty cycle transformer has a thermal time constant of approximately 6-8 hours.
- If the On-Off cycle is less than 60 seconds, you can consider taking advantage of the reduced duty cycle approach in such a case.
2.) How to calculate Duty Cycle:
- Duty Cycle (As a Percent) = [Cycle On Time / (Cycle On Time + Cycle Off Time)] x 100
Example: On-Time = 6 seconds, Off-Time = 14 seconds, Duty Cycle = [6 / (6 + 14)] x 100 = 30 Percent
3.) How to Calculate Relative KVA size:
Relative KVA size is calculated by multiplying the 100% Duty Cycle KVA size by the square root of the duty cycle.
Example (Single Phase Application):
- Duty Cycle = 30.0 Percent
- Load during the On-Time = 50 KVA
- Therefore, Design KVA = 50 KVA x SQRT(0.300) = 50 x 0.548 = 27.4 KVA Design.
For easy calculation, assume the On-Time load is 100 Volts and 500 Amps (50 KVA).
- "Continuous" (100% DC) Design Current is 27.4 KVA / 100 Volts = 274.0 Amps.
A transformer designed to deliver a continuous current of 274.0 will perform well in an application designed to provide 500 Amps, operating at a 30.0 percent duty cycle.
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