Power factor is the ratio of active power to apparent power. It measures how effectively electrical power is being used. A high-power factor indicates efficient utilization of electrical power, while a low power factor is an evident indication about poor utilization of electrical power. Power factor correction is the method to reduce the lagging power factor in inductive loads by fixing a high value capacitor across the phase and neutral close to the load. When the Voltage and Current are in phase with each other in an AC circuit, the energy from the source is fully converted into another form to drive the load and in this case power factor is in unity. When the power factor drops, the system becomes less efficient. Power factor correction has many benefits such as, the correction can improve the voltage regulation, reduce the losses in the transformer and the cables, and increase the system capacity.

As obtained, the total active power of the sport complex is 2406.705 kW while the total apparent power of the complex is 2674.06 kVA. The following equation is used to calculate the reactive power. Furthermore, the power factor of system will be improved from 0.9 to unity power factor and the size of the required capacitor will obtained.

Where,

E : Voltage                    f : Frequency                 Q : Reactive power                     C : Capacitance

The previous two equations should be used to determine the suitable capacitor value for power factor correction. After fining the reactive power the impedance must be obtained so it can be used in fining the capacitance value.

X = 0.0049 Ω                 C = 64.410 mF