Power factor Definition and 126 Threads

In electrical engineering, the power factor of an AC power system is defined as the ratio of the real power absorbed by the load to the apparent power flowing in the circuit, and is a dimensionless number in the closed interval of −1 to 1. A power factor of less than one indicates the voltage and current are not in phase, reducing the average product of the two. Real power is the instantaneous product of voltage and current and represents the capacity of the electricity for performing work. Apparent power is the product of RMS current and voltage. Due to energy stored in the load and returned to the source, or due to a non-linear load that distorts the wave shape of the current drawn from the source, the apparent power may be greater than the real power. A negative power factor occurs when the device (which is normally the load) generates power, which then flows back towards the source.
In an electric power system, a load with a low power factor draws more current than a load with a high power factor for the same amount of useful power transferred. The higher currents increase the energy lost in the distribution system, and require larger wires and other equipment. Because of the costs of larger equipment and wasted energy, electrical utilities will usually charge a higher cost to industrial or commercial customers where there is a low power factor.
Power-factor correction increases the power factor of a load, improving efficiency for the distribution system to which it is attached. Linear loads with low power factor (such as induction motors) can be corrected with a passive network of capacitors or inductors. Non-linear loads, such as rectifiers, distort the current drawn from the system. In such cases, active or passive power factor correction may be used to counteract the distortion and raise the power factor. The devices for correction of the power factor may be at a central substation, spread out over a distribution system, or built into power-consuming equipment.

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  1. R

    Power Factor and Phasor Diagram

    OK, Hello! Have to make sure as I felt like I knew my stuff but failed my first exam, am I on the right tracks? Power Factor = Cosine of phase angle Phase angle = Tan Inverse ((XL-Xc)/R) (So you know) XL= Inductive Reactance Xc= Capacitive Reactance R = Resisstance Am I...
  2. S

    Leading Power Factor - Voltage drop

    Hi, I am hoping you can help me understand this concept. I've always known that generators operating a leading power factor lowers voltage drop and a lagging power factor increases voltage rise (as seen here...
  3. R

    Improving Power Factor with Inductive Ballasts in Fluorescent Lights

    What do inductive ballasts, like those used in fluorescent lights, do to power factor?
  4. K

    Can I Improve Power Factor Correction with a Parallel Component?

    I've been working on a mathematical problem for a few days now. I'm not sure where my math is falling apart. I have an impedance connected in series with a source. In phasor notation, the impedance is 1.2649 at 71.565 degrees. In rectangular, this impedance is .4 + j1.2 . The power factor for...
  5. L

    Improving power factor using capacitors (what capacitance?)

    Homework Statement The power factor of a circuit has to be improved from 0,6 to 0,9 by adding capacitors. Originally, it only has an inductor L, a resistence R and a generator V. The circuit requires an active power of 3000 VA, and that should remain the same. Vef = 220V. The Attempt at...
  6. F

    How to Solve Power Factor Problems with Mixed Loads?

    Hi guys I am having problems with this question,can u help me?!?thnks 3. The loads taken from an a.c. supply consist of: (a) a heating load of 15 kW; (b) a motor load of 40 kVA at 0.6 power factor; and (c) a load of 20 kW at 0.8 lagging power factor. Calculate: (i) the total load from the...
  7. S

    Power Factor - Pratical Question

    Hey - I am trying to get a better idea regarding the notion of power factor, and power factor correction as it relates to power systems. Here are my thoughts (I'm looking for confirmation that my intuition is correct): In a power system with inductive loads, the power factor is lagging...
  8. neduet

    What is the significance of power factor in switching power supplies?

    Hello friends what is this term meaning (power factor correction) and from my book some lines are what its meaning? and PF= power loss/input power resulting ratio is the "power factor" WHAT is this? can we say above line is same as this PF = TRUE POWER/APPARENT POWER explain please thanks
  9. H

    Increasing Power factor via series capicitance

    Homework Statement problem: You're the operator of a 1.60×104 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 7.00 MW of power with a power factor of 0.920. a) what is the rms current leaving the station? b)how much series...
  10. X

    Understanding Power Factor and Utility Penalties

    Why is it that the utility will penalize a customer for a low power factor. I can't imagine why they would penalize you if a purely reactive load puts all its power back into the mains.
  11. B

    Power Factor and Inductance: How Does Varying Inductance Affect Power Factor?

    Hi Guys, :rolleyes: What will be the effect on 'Power Factor' of the power supply system under the following conditions:- 1) If I were to connect several inductors in ‘parallel’ with the power supply system. 2) If I were to connect several inductors in ‘series’ with the power supply...
  12. K

    Can power factor be greater than 1?

    Can the power factor of an electrical system ever be greater than 1? if yes.. then when and how?
  13. B

    Cost Implications Of Low Power Factor

    We operate a 3 phase, 11kV network with automatic power factor correction equipment installed. Over the last four weeks we have had the PFC switched off due to an electrical incident. How can I calculate the cost of running without PFC for this period of time, our load is fairly constant at...
  14. J

    Calculating Power Factor for an RC Circuit with Given R, C, and Frequency

    Find the power factor for an RC circuit connected to a 70Hz generator with an rms voltage of 125V. The values of R and C in this circuit are 105ohms and 82.4microfarads, respectively. The equation I think you use is P=IVcos\oslash and also z= square root of R^2+(1/wc)^2 and cos0 = R/Z...
  15. B

    Power Factor Correction: Calculating True and Apparent Power in a Circuit

    Homework Statement This is the circuit: http://img129.imageshack.us/img129/3566/pfcog8.jpg Assume voltage is in rms and f is 50Hz. I have to do three things. First, calculate and compare true power vs apparent power in the load. Second, find the value of a capacitor placed in parallel...
  16. M

    Determine Transformer KVA output and Power Factor

    1. Two transformers T1 and T2 in parallel supply a common load at a lagging pf of 0.8, their per unit impedance are 0.04+j0.09 and 0.01+j0.07 at the same kva ratings of 3000KVA each and load power = 5500KVA Determine the kva output of each transfromer and power factor This is how i worked...
  17. N

    Why is a Capacitor Added in Parallel for Power Factor Correction in an RL Load?

    Hey, Theres something I'm curious about. If you consider a voltage source connected to an RL load , in order to compensate for the lagging power factor produced by the inductor in the load all the textbooks say we should add a capacitor IN PARALLEL to the load. Wouldn't a capacitor added in...
  18. D

    High power factor Is it Good/Bad? Why?

    High power factor! Is it Good/Bad? Why? Is high power factor good or bad? Why? Not really sure An assignment i have got due!
  19. D

    Calculating Series Capacitance for 1.0 Power Factor in Electrical Substation

    Homework Statement You're the operator of a 1.80×104 V rms, 60 Hz electrical substation. When you get to work one day, you see that the station is delivering 6.10 MW of power with a power factor of 0.850. How much series capacitance should you add to bring the power factor up to 1.0...
  20. S

    Unity power factor (capacitance)

    I have an assignment question with a variable capacitor in it and it asks what value of capacitance is necessary to provide "unity power factor overall". This wasnt explained in class, does anyone know what it means?
  21. D

    Negative Power Factor on a motor?

    Negative Power Factor...on a motor?? Howdy Folks, I don't post too much here, but I have run into a bit of a stumper. I am in the process of interpretting some data for an energy audit of a commercial building, it is a 15 story office building, heated by heat pumps. We hooked up our...
  22. F

    Quick Question about power factor angle

    I just took an exam, and one of the questions had a load with a power factor that was leading. ALL of our examples have dealt with LAGGING power factors, so I was unsure about determining the angle. So for example) Find the power factor angle of the following load (load 1)...
  23. F

    Quick Question about power factor angle

    I just took an exam, and one of the questions had a load with a power factor that was leading. ALL of our examples have dealt with LAGGING power factors, so I was unsure about determining the angle. So for example) Find the power factor angle of the following load (load 1)...
  24. N

    Engineering Single-phase motor; Power factor

    a single phase motor draws a current of 12A at a power factor of 60%. calculate the in-phase and quadrature components of current Ip and Iq wih respect to the line voltage. i have problem understanding the question. is what i need to find is just the Ip (7.2A) and Iq (9.6A) that's all?
  25. B

    Calculating Power Factor of RL-Capacitor Parallel Circuit

    A capacitor is connected in parallel with a RL branch and a source providing a frequency omega=(LC)^(-1/2). What is the power factor, knowing that R=1000 Ohm, omega 2000 rad/s and L=1H? Its not difficult to find C=0,25 microC and XL=2000 Ohm XC=2000 Ohm but what to do next? How can I...
  26. L

    Archived Power factor at half power points for RLC circuit

    Can anyone help me with this homework problem? I worked it through, but the answer i get doesn't agree with the answer the book gives. I'll include my work, and if anyone can help, I'll be eternally grateful, at least for a while. The Problem: In a series RCL circuit the dissapated...
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