Voltage Regulation Calculator
Voltage regulation tells you how much a supply's output voltage falls when the load is connected. Enter any two of VR, no-load voltage VNL and full-load voltage VFL and the third is solved. Add the full-load current to estimate the source resistance and losses.
VR = (VNL − VFL) / VFL × 100%Rs = (VNL − VFL) / IFLStep-by-step solution
Companion quantities
Equivalent circuit
A real supply behaves like an ideal source at VNL in series with an internal resistance Rs. The load current drops voltage across Rs.
Terminal voltage versus load current
Reference data
| Source | Typical VR | Note |
|---|
| Standard / case | Nominal | Allowed range |
|---|---|---|
| ANSI C84.1 Range A (US service) | 120 V | 114 to 126 V (±5%) |
| ANSI C84.1 Range B (US, temporary) | 120 V | 110 to 127 V |
| EN 50160 (European supply) | 230 V | 207 to 253 V (±10%) |
| USB 5 V supply | 5 V | 4.75 to 5.25 V (±5%) |
Ranges are typical and vary by device and region. Always check the applicable standard or datasheet.
FAQ
What does a low voltage regulation mean?
A low VR means the output voltage stays close to its no-load value as load rises, so the supply is "stiff". A good regulated supply has under 1%, while an unregulated transformer-rectifier supply may be 5 to 15%.
Which voltage is the base, VFL or VNL?
The usual power-engineering definition divides by the full-load voltage, as used here. Some texts divide by VNL, giving a slightly smaller number. The calculator shows both, so you can match your source.
Can voltage regulation be negative?
Yes. With a leading (capacitive) load, the voltage at the load can be higher than the no-load voltage, so VFL > VNL and VR is negative. This is related to the Ferranti effect on lightly loaded lines.
How do I improve regulation?
Reduce source and cable resistance (larger conductors, shorter runs), use a stiffer transformer or generator, add feedback regulation (a linear or switching regulator, an AVR on a generator), or use tap changers to track the load.
Variables
| Symbol | Quantity | Unit |
|---|---|---|
| VR | Voltage regulation (percentage) | % |
| V_NL | No-load voltage (output voltage with zero load current) | V |
| V_FL | Full-load voltage (output voltage at rated load current) | V |
What it means
Voltage regulation (VR) is a measure of the change in output voltage of a power supply or generator from no‑load to full‑load, expressed as a percentage of the full‑load voltage. The formula is VR = (V_no‑load − V_full‑load) / V_full‑load * 100%. A lower VR indicates a more stable supply, which is important for sensitive equipment. Voltage regulation is a key specification for voltage regulators, transformers, and generators. It accounts for the internal resistance of the source and the drop across leads. In power systems, good regulation ensures that loads receive voltages within acceptable limits. Example: A supply has no‑load voltage 120V and full‑load voltage 114V. VR = (120−114)/114 * 100 = 6/114*100 ≈ 5.26%. This indicates a 5.26% drop under load.
Worked example
Voltage Regulation – Practical Example
Real‑World| Parameter | Value |
|---|---|
| VNL | 120 V |
| VFL | 115 V |
| Formula | VR = (VNL − VFL) / VFL × 100% |
Common mistakes
- No‑load voltage: The output voltage when no load is connected (or minimum load).
- Full‑load voltage: The output voltage at rated load.
- Regulation: A lower percentage indicates better voltage stability.
- Sign: Typically V_NL > V_FL (positive regulation).
- Power factor: Voltage regulation depends on load power factor.
Applications
Voltage regulation (VR) measures the change in output voltage from no‑load to full‑load as a percentage of the full‑load voltage. It indicates how well a power supply or transformer maintains its output voltage under varying load. A lower VR means a more stable supply. Engineers use this parameter to design regulated power supplies, to specify transformers, and to assess the quality of distribution networks. By calculating VR, they can ensure that the voltage delivered to equipment remains within acceptable limits. This formula is essential for power quality and reliability. Understanding voltage regulation helps in troubleshooting voltage fluctuations.
- Transformer and generator voltage stability analysis
- Design of voltage‑regulated power supplies
- Power quality assessment in distribution systems
- Sizing of automatic voltage regulators (AVR)
- Educational understanding of load regulation
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