Power Factor Correction

A 132kV line three-phase system delivers 70.7 MVA of a balanced delta load of power factor 70.7% lagging. Determine the reactance necessary to attain unity power factor.

A single-phase inductive load takes 50 kVA at 0.60 power factor lagging. Solve for the kVAR of a capacitor required to improve the power factor to 1.0.

A single-phase load on 220 V takes 5 kW at 0.6 lagging power factor. Find the kVAR size of capacitor, which maybe connected in parallel with this motor to bring the resultant power factor to 1.0.

A 5 hp, 220 V, 60 Hz, single-phase induction motor operates at an efficiency and power factor of 0.88 and 0.8 respectively. What capacitance should be connected across the motor in order for the feeder supplying this motor to operate at unity power factor?

Installed in one of the customer of CEPALCO are two single phase transformers each rated 75 kVA are connected V or open delta to serve a 3-phase load of 120 kW at 0.8 pf lagging. To prevent the overloading of the transformers, determine the size of the capacitor in kVAR.

Three transformers each rated 100 kVA are connected delta supplying a load of 160 kW at 0.8 pf lagging. One of the transformers is taken for repair and the rest are connected open delta. What kVAR (minimum) of capacitor must be connected with the load so that the load of the remaining transformers will be 95% of their combined rated capacities.

Three-single phase transformers each rated 75 kVA are banked in delta and supplying a 3-phase load drawing 160 kVA at 0.8 lagging power factor. If one transformer is removed for repairs, solve for the minimum amount in kVAR of a capacitor needed to prevent overloading of the remaining units.

Two single-phase transformer each rated 150 kVA are connected open delta supplying a three-phase induction motor rated 250 HP, 0.7 pf and 80% efficiency. Determine the minimum size in kVAR of a capacitor needed to prevent overloading the transformers.

Two single-phase transformers are each rated 75 kVA are connected in V or open delta to serve a 3-phase load of 120 kW at 0.80 power factor lagging. Determine the size in kVAR of the capacitor needed to prevent overloading of the transformers.

A plant has a load of 290 kilowatt with an average power factor of 70%. The owner requests you to correct the power factor to reduce its power consumption. How much capacitor kVAR is required to increase the power factor to 90%?

A 150-kVA-transformer bank will serve a load expected to draw 135 kW at 0.80 lagging power factor. Solve for the size of the capacitor bank needed to be added in order to prevent overloading of the transformer bank.

A 3-phase generator has the following 3-phase loads: an inductive load drawing 400 kVA at 0.60 power factor and a resistive load drawing 80 kVA at 1.00 power factor. Solve for the size in kVAR of the capacitor bank needed to improve the power factor of the combined loads to 0.85 lagging.

A load of 10,000 kVA, 80% pf lagging is connected to a 13,200 volts line. How much capacitive reactive power is needed to correct the power factor to 0.97 lagging?

A short, 3-phase, 3-wire transmission line has a receiving end voltage of 4160 V phase to neutral and serving a balanced 3-phase load of 998,400 volt-amperes at 0.82 pf lagging. At the receiving end the voltage is 4600 V, phase to neutral and the pf is 0.77 lagging. Solve for the size in kVAR of a capacitor needed to improve the receiving end pf to 0.9 lagging maintaining 4160 V.

A three-phase, 3-wire transmission line has an impedance per wire of \(3 + j7\) ohms, the receiving end load is 1950 kW, 0.65 pf lagging with the line voltage of 13,200 V. Determine the kVAR of the capacitor to be connected at the receiving end to make the pf at that end to 0.8 lagging.

A balanced, 500 kVA, 3-phase, 440 volt, 60 Hz, inductive load operates at a pf of 75%. Determine the total capacitor kVAR required improving the pf to 95%.

A single-phase induction motor is rated 5 hp, 75% power factor and 220 volts. What approximate size of capacitor is necessary to raise the power factor to about 95%?

A 3-phase, 7,500 V, 60 Hz transmission line has a load of 150 A at 0.891 power factor lagging. It is desired to raise the power factor to 0.96 leading. Solve for the amount of capacitor kVAR needed to achieve such pf.

A 3-phase, 3-wire, short transmission line has a resistance of 3 ohms and a reactance of 8 ohms per wire. At the receiving end, a balanced 3-phase load draws a line current of 60 A, at 13,500 volts line to line, 0.90 power factor lagging. Assuming the receiving end voltage is maintained at 13,500 V, solve the size in kVAR of capacitors needed to raise the power factor at the receiving end to 0.95 leading.

The input to an induction motor from a 13 kV, 60 Hz line is 1000 kVA, at 0.8 pf lagging. A capacitor is placed in parallel with the motor to improve the pf. Calculate the capacitance required raising the power factor to 0.9 leading.