Voltage regulation is the percentage drop in secondary voltage under load: Reg% ≈ x·(uR·cosφ + uX·sinφ). Here, uR = (Pk/S)·100, uX = √(uk²−uR²). For example, for 1000 kVA, uk = %6, Pk = 10.5 kW, full load, cosφ 0.9, uR ≈ %1.05, uX ≈ %5.91, regulation ≈ %3.52.

uR = (Pk/S)·100 · uX = √(uk²−uR²) · Reg ≈ x·(uR·cosφ + uX·sinφ)
Example calculation: 1000 kVA, UK %6, Pk=10.5 kW, full load, cosφ 0.9 → uR ≈ %1.05, uX ≈ %5.91 → regulation ≈ %3.52 (400 V → ≈ 386 V).

Transformer Voltage Regulation (%)

Calculate the secondary voltage drop (regulation) under load from the short-circuit voltage and copper loss.

Regulation
uR (resistive)
uX (reactive)
Notes: uR = (Pk/S)·100, uX = √(uk²−uR²), Regulation ≈ x·(uR·cosφ + uX·sinφ) (x = loading ratio). It is a first-order approach. (Second-order term omitted, inductive load assumed). Pk and uk are taken from the transformer label. The exact value is determined using the full equivalent circuit.

How is it calculated?

  1. Enter the transformer power (kVA) and short-circuit voltage (uk %).
  2. Enter the total load copper loss (Pk) and load (%) from the label.
  3. Enter cosφ and secondary voltage and click Calculate.

Frequently Asked Questions

What is voltage regulation?
It is the percentage drop in the secondary voltage of a transformer when it switches from no-load to full load; a lower value is better.
What does the regulation depend on?
It depends on the load ratio, short-circuit voltage (uk%), load power factor, and the resistive/reactive components (uR, uX) of the transformer.
What is the difference between inductive and capacitive loads?
With an inductive (lagging) load, the voltage drops (positive regulation); with a capacitive load, the voltage may rise (negative regulation).

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