Apparent Power Calculator

Formula

The formulas to calculate the Apparent Power (A) are:

\[ A = \sqrt{TP^2 + RP^2} \]

\[ A = I^2 \cdot Z \]

Where:

\( A \) is the Apparent Power (kVA).
\( TP \) is the True Power (kW).
\( RP \) is the Reactive Power (kVAR).
\( I \) is the Impedance Current (Amperes).
\( Z \) is the Impedance (Ohms).

What is Apparent Power?

Apparent power is a measure of the combination of reactive power and true power in a circuit. It is used to describe the total power in an AC electrical circuit, both dissipated and stored. Apparent power is measured in kilovolt-amperes (kVA).

Example Calculation

Consider an example where:

True Power (TP): 10 kW
Reactive Power (RP): 5 kVAR
Impedance Current (I): 2 Amperes
Impedance (Z): 3 Ohms

Using the formulas to calculate the Apparent Power:

\[ A = \sqrt{10^2 + 5^2} = \sqrt{100 + 25} = \sqrt{125} \approx 11.18 \text{ kVA} \]

\[ A = 2^2 \cdot 3 = 4 \cdot 3 = 12 \text{ kVA} \]

This means that the apparent power for this example is approximately 11.18 kVA using the first formula and 12 kVA using the second formula.