Power Factor Formula - Active Power, Reactive Power , Apparent Power - Electrical input

Sunday, August 5, 2018

Power Factor Formula - Active Power, Reactive Power , Apparent Power



                                                           POWER  FACTOR  FORMULA

Power  Factor Formula :-  it is the ratio of active power or true power  to the  apparent  power.

                                         Power Factor Formula:-  __ Active power__
                                                                                    Apparent  power

                                                                                     OR

                                                                Cosθ =      __ Active power (kW)__
                                                                                      Apparent power (KVA)

Active Power:- it is the actual power consumed or utilized in an circuit is known as active power, active power symbolized by P and measured in the unit of watts (w) .

                          P = Active Power

Active Power Formulas :-      P = VXI                      (for DC Circuit)
                                                  P = V I Cosθ              ( for single phase ac circuit)


                                                  P=  3 VL IL  Cosθ      ( for 3 phase ac circuit )


                                                  P = 3 VPH IPH Cosθ


                                                  P = √ (S2 – Q2

                                                  P =√ (VA– VAR2

                                             kW = √ (kVA2 – kVAR2)

Reactive  Power :-  when there is no current or voltage in an ac circuit , reactive power is symbolized by Q and messured in the unit of Volt-Amps- Resistance (VAR).

                                                 Q = Reactive Power

                Ractive Power Formulas :-  Q = V I SIN 0   positive (+ve) for inductive loads                                                      
                                                                                                       
                                                    VAR =√ (VA2 – P2)     negative (-Ve) for capacitive load.

                                                    kVAR = √ (kVA2 – kW2)

Apparent Power :-  it is combination of true power and reactive power , apparent power symbolized by S and measured in the unit of Volt-Amps (VA).


Apparent Power Formulas --                          
                                                                             S = V I

                                                                kVA = √kW2 + kVAR2


Power Triangle :-









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