## What is Power Factor Correction? Why is it important? How can Southern States help provide you a solution?

**Power Factor (PF)** is the ratio of Real power to Apparent power in an AC system. The formula is P=S x PF 0 ≤ PF ≤ 1

Power Factors < 1 result from energy storage and retrieval, 2 times per cycle in an AC system. In a 60 Hz system, energy is stored and retrieved 120 times per second. “Lagging” power factor results from inductive storage, as a result of current flow, in motors, transformers, open wire lines, etc. “Leading” power factor results from capacitive energy storage, as a result of voltage (electric potential) on shielded cables, long lightly loaded overhead lines, and capacitors. The terms “lead and “lag” have to do with the phase relationship of the current with respect to the voltage. “Lead” means the current peaks before the voltage; “lag” means the current peaks after the voltage. A pure inductive situation is shown in the waveforms below. The current lags the voltage by 90 degrees and the power factor is zero. Energy can be seen being stored and retrieved 2X per cycle on the blue curve.

From trigonometry, it is clear the P = S cosφ, and as a result, PF = cosφ. Also, Q = sinφ. To make PF = 1, we need to subtract Q and thus collapse the triangle. Capacitance generates negative reactive power. If we can add the correct value of capacitance, the effect of inductive reactance will be nulled, and the power factor (PF) will be 1.0. The waveforms below illustrate a 0.7 lagging power factor φ = 45 degrees and a unity power factor φ = 0 .

Note the second and third waveform images. The current and voltage are perfectly in phase (peaks and zeros occur at the same time), the instantaneous power (blue curve) never dips below zero, and the average power is positive.

### Why bother with power factor correction?

Only real power can do useful work, but the reactive power increases apparent power and the current required to transmit it. A low power factor means a higher apparent power, which translates into excessively high current flows and inefficient use of electrical power. These currents cause elevated losses in transmission lines, excess voltage drop, and poor voltage regulation. Additionally, the installation must have sufficient capacity to conduct both the active and the reactive power. To have the most efficient transmission of power, the power factor should be corrected to near 1.0. This can be done by adding shunt capacitors. IEEE 1036 is an excellent guide for sizing shunt capacitor banks for power factor correction.

Since loads change, the need for power factor correction (PFC) also changes. It is thus desirable to switch on shunt capacitor equipment and devices when they are needed and switch them off when they aren’t needed. Too much capacitance can result in leading power factor and excessive voltage. The Southern States Capswitcher® is an excellent choice for a capacitor switch. It employs a pre-insertion resistor to damp energizing transients, and offers a “clean” opening with no transients produced on opening it has a 10,000 operation life which in switching 6 days per week translates to over 30 years.

#### Resources

- Outrush Reactors for Capacitor Banks—The Solution or a Problem?
- Analysis of Example Capacitor Bank Switching Solution and Recommendations for Revision
- Synchronous Closing vs. Pre-insertion Resistor
- Western Protective Relay Conference Paper Pre-insertion Resistors in High Voltage Capacitor Bank Switching
- Switching Shunt Reactors