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.
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...
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...
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...
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...
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...
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...
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
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...
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.
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...
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...
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...
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...
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...
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...
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...
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?
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...
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)...
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)...
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?
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...
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...