Apparent Power Solution

STEP 0: Pre-Calculation Summary
Formula Used
Apparent Power = Rated Real Power/Power Factor
S = Prated/PF
This formula uses 3 Variables
Variables Used
Apparent Power - (Measured in Watt) - Apparent power is the combination of reactive power and true power and it is the product of a circuit's voltage and current.
Rated Real Power - (Measured in Watt) - Rated real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load.
Power Factor - The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.
STEP 1: Convert Input(s) to Base Unit
Rated Real Power: 21.607 Kilowatt --> 21607 Watt (Check conversion ​here)
Power Factor: 0.45 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = Prated/PF --> 21607/0.45
Evaluating ... ...
S = 48015.5555555556
STEP 3: Convert Result to Output's Unit
48015.5555555556 Watt -->48.0155555555556 Kilovolt Ampere (Check conversion ​here)
FINAL ANSWER
48.0155555555556 48.01556 Kilovolt Ampere <-- Apparent Power
(Calculation completed in 00.004 seconds)

Credits

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13 Electrical Parameters Calculators

Specific Electric Loading
​ Go Specific Electric Loading = (Armature Current*Number of Conductors)/(pi*Number of Parallel Paths*Armature Diameter)
Output Coefficient using Output Equation
​ Go Output Coefficient AC = Output Power/(Armature Core Length*Armature Diameter^2*Synchronous Speed*1000)
Synchronous Speed using Output Equation
​ Go Synchronous Speed = Output Power/(Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length)
Output Power of Synchronous Machine
​ Go Output Power = Output Coefficient AC*1000*Armature Diameter^2*Armature Core Length*Synchronous Speed
Field Resistance
​ Go Field Resistance = (Turns per Coil*Resistivity*Length of Mean Turn)/Area of Field Conductor
Specific Electric Loading using Output Coefficient AC
​ Go Specific Electric Loading = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Winding Factor)
Winding Factor using Output Coefficient AC
​ Go Winding Factor = (Output Coefficient AC*1000)/(11*Specific Magnetic Loading*Specific Electric Loading)
Current per Phase
​ Go Current per Phase = (Apparent Power*1000)/(Induced Emf per Phase*3)
Current in Conductor
​ Go Current in Conductor = Current per Phase/Number of Parallel Paths
Field Coil Voltage
​ Go Field Coil Voltage = Field Current*Field Resistance
Field Current
​ Go Field Current = Field Coil Voltage/Field Resistance
Apparent Power
​ Go Apparent Power = Rated Real Power/Power Factor
Short Circuit Ratio
​ Go Short Circuit Ratio = 1/Synchronous Reactance

Apparent Power Formula

Apparent Power = Rated Real Power/Power Factor
S = Prated/PF

What is active and apparent power?

The part of total power in an AC circuit which is consumed by the equipment to do useful work is called real power or active power. The total amount of power flowing from source to load in an AC circuit is known as apparent power.

Why do we need apparent power?

The apparent power is the product of voltage and current. Apparent power is handy for sizing of equipment or wiring. However, adding the apparent power for two loads will not accurately give the total apparent power unless they have the same displacement between current and voltage.

How to Calculate Apparent Power?

Apparent Power calculator uses Apparent Power = Rated Real Power/Power Factor to calculate the Apparent Power, The apparent power can also be calculated using the power factor (PF) and the real power (P). Where the power factor is the cosine of the phase angle between the voltage and current waveforms and represents the ratio of real power to apparent power. Apparent Power is measured in KVA. One kVA is equal to 1000VA.The total power flowing is known as the “apparent power” and is measured as the product of the supply voltage and supply current (V * I). Apparent Power is denoted by S symbol.

How to calculate Apparent Power using this online calculator? To use this online calculator for Apparent Power, enter Rated Real Power (Prated) & Power Factor (PF) and hit the calculate button. Here is how the Apparent Power calculation can be explained with given input values -> 0.048016 = 21607/0.45.

FAQ

What is Apparent Power?
The apparent power can also be calculated using the power factor (PF) and the real power (P). Where the power factor is the cosine of the phase angle between the voltage and current waveforms and represents the ratio of real power to apparent power. Apparent Power is measured in KVA. One kVA is equal to 1000VA.The total power flowing is known as the “apparent power” and is measured as the product of the supply voltage and supply current (V * I) and is represented as S = Prated/PF or Apparent Power = Rated Real Power/Power Factor. Rated real power P is the average power in watts delivered to a load. It is the only useful power. It is the actual power dissipated by the load & The power factor of an AC electrical power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit.
How to calculate Apparent Power?
The apparent power can also be calculated using the power factor (PF) and the real power (P). Where the power factor is the cosine of the phase angle between the voltage and current waveforms and represents the ratio of real power to apparent power. Apparent Power is measured in KVA. One kVA is equal to 1000VA.The total power flowing is known as the “apparent power” and is measured as the product of the supply voltage and supply current (V * I) is calculated using Apparent Power = Rated Real Power/Power Factor. To calculate Apparent Power, you need Rated Real Power (Prated) & Power Factor (PF). With our tool, you need to enter the respective value for Rated Real Power & Power Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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