Converting Millivolt Ampere (mVA) to Gigavolt Ampere (GVA) involves a very large change in scale. A millivolt ampere is a small unit of apparent power, while a gigavolt ampere is used for major electrical systems. The exact conversion is:
1 mVA = 0.000000000001 GVA = 1 × 10−12 GVA
Millivolt Ampere to Gigavolt Ampere Conversion
Both mVA and GVA measure apparent power. Apparent power describes the total electrical power handled by an alternating-current (AC) circuit, including both useful power and reactive power.
- Millivolt ampere (mVA): A small apparent-power unit equal to one-thousandth of a volt ampere.
- Gigavolt ampere (GVA): A very large apparent-power unit equal to one billion volt amperes.
The unit prefixes create the size difference. “Milli” means 10−3, while “giga” means 109. Therefore, one mVA is 10−12 of one GVA.
How to Convert mVA to GVA
To convert Millivolt Ampere to Gigavolt Ampere, multiply the value in mVA by 10−12.
Formula:
GVA = mVA × 10−12
Another equivalent form is:
GVA = mVA ÷ 1,000,000,000,000
This works because:
- 1 mVA = 0.001 VA.
- 1 GVA = 1,000,000,000 VA.
- Dividing 0.001 VA by 1,000,000,000 VA gives 0.000000000001 GVA.
Worked Example: Convert 250 mVA to GVA
Suppose an AC device has an apparent power rating of 250 mVA. Apply the conversion formula:
GVA = 250 × 10−12
GVA = 250 × 0.000000000001
GVA = 0.00000000025 GVA
Therefore, 250 mVA equals 2.5 × 10−10 GVA.
Millivolt Ampere and Gigavolt Ampere in Apparent Power
Apparent power is commonly represented by the symbol S and is measured in volt amperes. It can be found by multiplying voltage by current:
S = V × A
For example, a circuit operating at 2 millivolts and drawing 150 amperes has an apparent power of:
2 mV × 150 A = 300 mVA
That value can then be expressed in GVA as:
300 mVA × 10−12 = 3 × 10−10 GVA
In practice, mVA is suited to very small electrical ratings or detailed circuit calculations. GVA is more common when discussing the capacity of large generators, transmission networks, or groups of power transformers.
Why the Conversion Matters
Using the correct scale prevents major reporting errors. A value entered in mVA can look insignificant when expressed in GVA because one GVA contains one trillion mVA.
This conversion is useful when comparing equipment ratings across different documents or engineering systems. A small component may be rated in mVA, while a utility planning report may express system capacity in GVA.
Keeping the unit symbols clear also avoids confusion. The letter “m” means milli, or one-thousandth. The letter “G” means giga, or one billion. They are not interchangeable prefixes.
Apparent Power Compared with Real Power
Apparent power in VA is not the same as real power in watts. Apparent power combines the circuit’s real power and reactive power effects.
- Volt ampere (VA): Measures apparent power.
- Watt (W): Measures real power consumed or transferred.
- Volt ampere reactive (var): Measures reactive power exchanged by inductive and capacitive loads.
The relationship between apparent power, real power, and power factor is commonly written as:
Real power = Apparent power × Power factor
For example, a load with 500 mVA of apparent power and a power factor of 0.8 uses 400 mW of real power:
500 mVA × 0.8 = 400 mW
The mVA-to-GVA conversion itself does not depend on power factor. It only changes the unit scale used to express the same apparent-power value.
Millivolt Ampere to Gigavolt Ampere Conversion Table
Each row applies the same rule: multiply Millivolt Ampere by 10−12 to obtain Gigavolt Ampere. Scientific notation keeps these very small values exact and readable.
| Millivolt Ampere (mVA) | Gigavolt Ampere (GVA) |
|---|---|
| 1 mVA | 1 × 10−12 GVA |
| 2 mVA | 2 × 10−12 GVA |
| 5 mVA | 5 × 10−12 GVA |
| 10 mVA | 1 × 10−11 GVA |
| 20 mVA | 2 × 10−11 GVA |
| 50 mVA | 5 × 10−11 GVA |
| 100 mVA | 1 × 10−10 GVA |
| 500 mVA | 5 × 10−10 GVA |
Common Conversion Mistakes to Avoid
Using the Wrong Direction
Converting mVA to GVA makes the numerical value much smaller. If the result becomes larger, the conversion direction may have been reversed.
Confusing Milli with Mega
Milli means 10−3. Mega means 106. The symbols are different: m represents milli, while M represents mega. Giga, written as G, represents 109.
Dropping the Apparent-Power Context
mVA and GVA belong to the apparent-power measure. They should not be treated as direct substitutes for mW or GW unless the power factor and the intended measure are also known.
Key Takeaway
The exact relationship is 1 mVA = 1 × 10−12 GVA. To convert any Millivolt Ampere value to Gigavolt Ampere, multiply it by 10−12. This simple factor keeps small circuit ratings and large electrical-system ratings consistent within the apparent-power measure.
Use the formula and table above to express your value in the scale that best fits your electrical calculation, equipment specification, or power-system report.