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lagging power factor

12/21/2008 8:21 AM

please give me solution of my question

q1 : what it the phase angle ,it should be nesessary for ac transmission

q2 : what is the lagging power factor , what is its significance

q3 : what is meaning of leading , lagging current in case of capacitor or in inductor

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#1

Re: lagging power factor

12/21/2008 1:46 PM

Question five , if you aren't going to do your own homework, why don't you use the search box, on the right-hand side of the page to find your answers.

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#2

Re: lagging power factor

12/21/2008 2:34 PM

Dear 1234, Welcome to CR4.

You will learn equations that detail how to calculate PF, and a search on this site would have revealed a huge number of discussions on the subject, which reveal a wide margin of confusion and conflicting understandings.

Since it is obvious by your question that you are new to some electrical concepts, and I am aware that there is a weak or marginal understanding by many, I will offer a visualization, a story, to explain power factor.

To set up the scene, I will say that Power Factor has to do with transferring power, not in the sense of over distance (though PF does play a role there), but more specifically in the split-second timing between the voltage push and the actual energy flow.

Now, to the story explanation.

Picture riding a bicycle up over a hill and down the other side. You are the power plant burning fuel for energy, your legs are the transmission system with heat losses etc.

The legs to pedals transfer of energy is where timing is critical. Going up the hill, the timing of legs and pedals is very good resulting in maximum power transfer Factor. Not much heat and sweat is wasted.

Now you reach the top of the hill where it is fairly level ground, the timing is a tiny bit lagging the pedal movement at some parts of the rotation. The power plant is still burning the same fuel and the legs still have the same heat losses, but the energy transferred to the pedals is slightly less.

Both of these Power (transfer) Factors are acceptable values.

Now picture beginning to head down the other side of the hill, still pedaling at the same rate, burning the fuel, heat losses etc, but now the effect of the split-second-timing of the leg rotation and the pedal rotation gets more noticeable. A smaller percentage of the apparent leg power can be transferred as real pedal power, and the cause is a very critical tiny difference in timing. The power transfer can easily vary quite quickly from 0% to 100%.

With Direct Current there is basically no timing difference. As DC moves toward Alternating Current, timing differences arise due to a variety of features you will get to know in detail. I will generalize here to keep it simple, and state that

capacitors provide current a bit ahead of the rising voltage, like a compressed spring is set to release its energy at the least hint of release of what is holding it, (leading) and

Inductors (things with coils) affect the energy flow much like pushing an object fitted with a spring between the pusher and the pushed object; the object tends to require a bit of push on the spring before it actually starts to move. (lagging)

Leading or lagging has the same effect on the timing. When both are present, they tend to cancel each other. Since most loads of significance have coils, some capacitance added can balance the lag and improve the Power transfer factor of the available amps. A poor PF means more amps must flow to transfer the same power.

Phase angle. Trigonometry is the language of power measurement (who knew?) The base and vertical legs of a right triangle are the Watts and Reactance (vars). The hypotenuse is the measurable rms volt*amps. It so happens that the cosine of the angle between the Watts and the volt-Amps = a percentage, a ratio, that represents how much of the available volts X Amps is being transferred as power (Watts). This is the phase angle you asked about.

That is why this phase angle, or more specifically it's cosine is required as a factor with the volts and amps in the power formulas.

Wow, I worked hard at editing to keep this simple, so the above reveals something about why this is a little understood concept.

If this helps, let me know. Regards, CJ

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#3
In reply to #2

Re: lagging power factor

12/21/2008 8:37 PM

I liked that answer CJ. In the analogous manner you explained it, you did not directly fill in the person's homework, yet gave enough that if they want to think about it they certainly can get what they need from it.

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#5
In reply to #2

Re: lagging power factor

12/23/2008 7:33 AM

CJMcGill

Good answer. Well described in simple language for a layman to understand the concept . Really you are a good teacher, my hats off to you .

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#4

Re: lagging power factor

12/22/2008 10:34 AM

Remember the relationship between current phase and voltage phase in a capacitive or inductive circuit by using the phrase ELI the ICE man. Voltage leads current in an inductive circuit and conversely, current leads voltage in a capacitive circuit.

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#6

Re: lagging power factor

12/24/2008 6:31 AM

Hello 1234,

There are three "different kinds of power" in AC circuits, three values that are called power, but strictly speaking only the True Power (watts) is a measure of energy converted into work, the definition of power. It is calculated by multiplying the volts x amps in the circuit component where the voltage and current are in phase, the resistor, which is the only component in the circuit that can convert energy.

Many industrial facilities electrical systems operate at a low power factor because the majority of their load consists of motors. Motor loads require Reactive Power (vars), often referred to as magnetizing vars because it sustains the motor's magnetic field. This means some of the current that the motor draws is "out-of-phase" current(shown in blue). This is in addition to the "in-phase" current (shown in red), that delivers the true power that represents energy converted into mechanical motion.
Reactive power is calculated by multiplying the volts x amps in the circuit component where the voltage and current are out-of-phase, the coil, which as a circuit component, can only store energy, not convert it.

Apparent Power (volt-amps) is a measure of what the actual power would be if the line voltage and current were perfectly in phase. It is calculated by multiplying the line (supply) volts x amps, or by adding the watts and vars vectorially.

The term Power Factor actually means - the percentage of the apparent power that is true power. It can be calculated by a number of methods.
PF = W/VA

You can also think of it as - what percentage of the total current is in-phase current?
PF = In-phase current/total current

The reactive "power" is not a useful energy conversion. It represents the energy that flows in to the motor to build up the magnetic field each cycle, and when the field collapses one half cycle later this energy is regenerated back to the power plant.
This represents current (out of phase) flowing in the service equipment, transformers, and circuit wiring, that does no useful work. If a device were connected to the circuit that could intercept and store this energy, and return it to the motor winding for the next magnetic field buildup, instead of requiring it to come from the power plant each cycle, the motor could do it's job with less current.
A capacitor can perform this function when connected in parallel with the motor, and this is called power factor correction.
With power factor correction the motor still draws the magnetizing (out of phase) current, however it now comes from the capacitor. Power factor correction is normally only installed in large facilities where most of the load is motors. Individual capacitors can be installed at each motor or a large capacitor bank can serve a feeder or motor control center. The capacitor bank ratings are normally calculated in Kilovars (kvar)."

Now that i have bored you....let us see a more interesting analogy for power factor...

Think of:
KVA as the size of a beer mug.
KW as the amount of beer in the mug.
KVAR as the amount of foam in the mug.

PF, then is the percentage of beer in the mug.

A bad power factor is too much foam and not enough beer. While, an ideal PF would be lot's of beer with a small "head" on it.

Cheers and Beerchugs..

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Guru

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#7
In reply to #6

Re: lagging power factor

12/25/2008 12:29 PM

I have been wondering what is happening with 1234, and whether the highly technical or the pictorial analogies are most useful to him. I try to be careful to encourage study and research for one who is obviously a student.

We have yet to discuss the implications of PF on transmission as he requested, which involves an understanding of resonance.

You are the first person I have seen on this forum that linked the resistive component to the transfer of the energy, which leads to a greater understanding of this subject.

I noted references (shown in red) and (shown in blue); were there drawings that did not come through as planned?

CJ

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Guru

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#8
In reply to #6

Re: lagging power factor

01/03/2009 3:27 AM

I had thought to ask this a while back, but I considered the question for some time first.

I am tempted to pose challenge questions of various sorts for everyones edification, but since I am fairly new to this forum I am being careful not to assume the subject matter has not already been covered in a discussion thread that the heading would not reveal etc.

As for this specific subject, I have a question that relates to how capacitance and inductance work together in factual terms, not equational terms.

The question I am posing to you based on your explanation is: Can current flow two directions in one circuit at the same time. To be specific, I am addressing the fact that current is part of the kW and also part of the kVAR equation. They theoretically flow 90 electrical degrees apart. At some points in the sine wave of each they are going opposite directions. So my question is, at these times, do the 2 currents flow in opposite directions in the circuit?

Please don't hesitate to offer suggestions as to the form or substance as to how this question has been posed, since I trust you to be clear on this from what I have seen you post. Thanks in advance, CJM

An editing note: I meant this to be marked "off topic" but am unable to correct this oversight after once posted apparently, sorry.

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#9

Re: lagging power factor

09/26/2013 5:00 AM

Dear Mr.1234,

What is your background of education.? The answer is available in the 1st year Elec.Engg. course.

The answer can be very simple to high order Mathematics Equations involving Integration and Laplace Transform.

DHAYANANDHAN.S

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