Can I Improve Power Factor Correction with a Parallel Component?

Click For Summary

Discussion Overview

The discussion revolves around the mathematical problem of improving power factor correction in an electrical circuit by adding a parallel component. Participants explore the implications of using admittance versus impedance to analyze the circuit, focusing on the calculations involved in achieving a desired power factor while retaining specific resistance values.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant describes an impedance of 1.2649 at 71.565 degrees and seeks to achieve a power factor of 0.98 leading while keeping the resistance at 0.4.
  • Another participant provides the admittance corresponding to the given impedance, suggesting a potential discrepancy in calculations.
  • Several participants question whether the original query is about the value of reactance needed or the relationship between admittance and impedance.
  • Some participants suggest considering series reactance instead of parallel to maintain resistance values.
  • There is a repeated assertion that the reciprocal of impedance should equal admittance, with participants indicating that discrepancies likely stem from arithmetic errors in calculations.
  • One participant shares detailed calculations to illustrate their approach to finding the necessary reactance for power factor correction.
  • Another participant discusses two methods for achieving the desired power factor, emphasizing the differences in results when using admittance versus impedance.

Areas of Agreement / Disagreement

Participants express differing views on the correct approach to the problem, with some advocating for parallel components and others for series components. There is no consensus on the resolution of the discrepancies between admittance and impedance calculations, and multiple competing views remain.

Contextual Notes

Participants note that the calculations involve complex numbers and require careful handling of real and imaginary components. The discussion highlights the potential for arithmetic errors and the importance of showing detailed work to clarify misunderstandings.

  • #31
Amazon lists the book for $137.75. There are three reviews of the book.


1 of 1 people found the following review helpful:
2.0 out of 5 stars Not for learning purposes, February 22, 2007
By the sultan - See all my reviews
This review is from: Electric Circuit Analysis (Hardcover)
This book skims over topics without a good insight over what is being discussed. The reading is quite difficult to grasp without a sufficient background in mathematics, like trigonometry or linear algebra. I found numerous mistakes and errors when doing problems, and the context of the book does not prepare the reader for some of the more complex problems that are given at the end of the chapter. The questions on the back do not start off with simple problems, and are usually found within the range of medium to very hard. I recommend buying another book, and coming back to this one just to do the problems.
Help other customers find the most helpful reviews
Was this review helpful to you? Yes No


Report this | Permalink
Comment Comment
1 of 1 people found the following review helpful:
1.0 out of 5 stars this book is awful, December 12, 2006
By ShorD143 (TX) - See all my reviews
This review is from: Electric Circuit Analysis, Student Problem Set with Solutions (Paperback)
Imagine a scenario where you're completely confused in a class and you go to the book for help, only to realize that the book might have just confused you even more. Then you look at the examples to find that those examples given are way easier than any of the practice problems at the end of the section, which means the book is of no help whatsoever. I hate this book.
Help other customers find the most helpful reviews
Was this review helpful to you? Yes No


Report this | Permalink
Comment Comment
2 of 3 people found the following review helpful:
2.0 out of 5 stars Poorly written., May 25, 2006
By Steve K. (California, USA) - See all my reviews
This review is from: Electric Circuit Analysis (Hardcover)
I (unfortunately) used this book in my first three undergraduate electrial engineering classes. This book should only be used as a reference for someone who is throughly familiar with the material. The basic concepts are poorly explained. Instead of writing thoughtful, well conceived explanations (or even using practical example of real world applications) the authors chose to use strictly mathmatical solutions as the explanations themselves. Although the reader may completely understand the math, the basic understanding (and use) of the concepts will remain unclear. Electric Circuits by Nilsson is considerably better written.

PS Many of my peers agree with this "tame" opinion.
 
Engineering news on Phys.org
  • #32
KhalDirth said:
Also, sqrt(-1*-1) = sqrt(-1) *sqrt(-1) ?

Is this some sort of mathematical weirdness? My calculator certainly doesn't like the idea
if I subtract one from the other, I get -2 or 2 (depending on which way I subtract). I must also be stumped.

Ahh, I see. Imaginary numbers violate the properties of the square root.
 
  • #33
skeptic2 said:
Amazon lists the book for $137.75. There are three reviews of the book.


1 of 1 people found the following review helpful:
2.0 out of 5 stars Not for learning purposes, February 22, 2007
By the sultan - See all my reviews
This review is from: Electric Circuit Analysis (Hardcover)
This book skims over topics without a good insight over what is being discussed. The reading is quite difficult to grasp without a sufficient background in mathematics, like trigonometry or linear algebra. I found numerous mistakes and errors when doing problems, and the context of the book does not prepare the reader for some of the more complex problems that are given at the end of the chapter. The questions on the back do not start off with simple problems, and are usually found within the range of medium to very hard. I recommend buying another book, and coming back to this one just to do the problems.
Help other customers find the most helpful reviews
Was this review helpful to you? Yes No


Report this | Permalink
Comment Comment



1 of 1 people found the following review helpful:
1.0 out of 5 stars this book is awful, December 12, 2006
By ShorD143 (TX) - See all my reviews
This review is from: Electric Circuit Analysis, Student Problem Set with Solutions (Paperback)
Imagine a scenario where you're completely confused in a class and you go to the book for help, only to realize that the book might have just confused you even more. Then you look at the examples to find that those examples given are way easier than any of the practice problems at the end of the section, which means the book is of no help whatsoever. I hate this book.
Help other customers find the most helpful reviews
Was this review helpful to you? Yes No


Report this | Permalink
Comment Comment



2 of 3 people found the following review helpful:
2.0 out of 5 stars Poorly written., May 25, 2006
By Steve K. (California, USA) - See all my reviews
This review is from: Electric Circuit Analysis (Hardcover)
I (unfortunately) used this book in my first three undergraduate electrial engineering classes. This book should only be used as a reference for someone who is throughly familiar with the material. The basic concepts are poorly explained. Instead of writing thoughtful, well conceived explanations (or even using practical example of real world applications) the authors chose to use strictly mathmatical solutions as the explanations themselves. Although the reader may completely understand the math, the basic understanding (and use) of the concepts will remain unclear. Electric Circuits by Nilsson is considerably better written.

PS Many of my peers agree with this "tame" opinion.

I never liked it much myself. My professor swore by it. Said he looked at all the other books around. He was a very sharp guy, so I just took his word for it. Do you teach, as well?
 
  • #34
No, I'm an RF engineer.
 
  • #35
KhalDirth said:
I guess, reading the problem now, the authors never did say that they meant to maintain the real impedance. I just think it would be crazy to correct the pf of a circuit and totally change the amount of power it will actually absorb (or at least, not take into account that it would change). Is this normal practice for pf correction?
No, you've got it completely the wrong way around. You're the one who wants to change the real power!

Initially you've got a resistance and (say) some series inductive reactance, if you were to correct it by keeping the real component (resistance) constant and just cancelling out the reactance then you'd get a larger current (through the same resistance value) and therefore much more power. No it's not normally what you'd want, but that's what you've been wanting to do for two pages in this thread and no ones been able to talk you out of it.

If on the other hand you correct the PF with a parallel capacitor then as you've discovered the real component of the impedance increases, but the power remains unchanged (assuming of course that it's voltage driven). The power must stay constant as the capacitor can only change the reactive power, not the real power.
 
Last edited:
  • #36
uart said:
No, you've got it completely the wrong way around. You're the one who wants to change the real power!

Initially you've got a resistance and (say) some series inductive reactance, if you were to correct it by keeping the real component (resistance) constant and just cancelling out the reactance then you'd get a larger current (through the same resistance value) and therefore much more power. No it's not normally what you'd want, but that's what you've been wanting to do for two pages in this thread and no ones been able to talk you out of it.

If on the other hand you correct the PF with a parallel capacitor then as you've discovered the real component of the impedance increases, but the power remains unchanged (assuming of course that it's voltage driven). The power must stay constant as the capacitor can only change the reactive power, not the real power.

This is true. I was stuck in the thought of maintaining impedance. I suppose we all come across mental roadblocks.

However, this doesn't change the fact that skeptic's solution and the books solution both happen to be right, but contain different real impedances. Skeptic maintains a .4 ohms real impedance; the solution in the book gives 3.842 ohms as the answer. Both have the same power factor, but different real and imaginary components. Deserving of thought, yes?
 
  • #37
KhalDirth said:
This is true. I was stuck in the thought of maintaining impedance. I suppose we all come across mental roadblocks.

However, this doesn't change the fact that skeptic's solution and the books solution both happen to be right, but contain different real impedances. Skeptic maintains a .4 ohms real impedance; the solution in the book gives 3.842 ohms as the answer. Both have the same power factor, but different real and imaginary components. Deserving of thought, yes?

What? Skeptic only came up with that alternate solution at your insistence of keeping the real impedance at 0.4 ohms. He did this by adding not only parallel capacitance but by using additional parallel resistance too. What you end up with is a circuit which draws no reactive power but wastes a whooping 90% of it's power in the "power correction" network. Not it's not a practical solution, but you asked for it.
 
  • #38
uart said:
What? Skeptic only came up with that alternate solution at your insistence of keeping the real impedance at 0.4 ohms. He did this by adding not only parallel capacitance but additionally using parallel resistance so as to artificially lower the real impedance and waste a lot of power. What you end up with is a circuit which draws no reactive power but wastes 90% of it's power in the "power correction" network. Not it's not a practical solution , but you asked for it.

Lol, you missed my point. The book insists on keeping the real admittance constant. I assumed that the same method would be true for evaluating the circuit as an impedance. I found that by trying to hold the real impedance constant, I was not getting the same answer (inverse, of course) as the book. This is what was stymying me.
 
  • #39
KhalDirth said:
Lol, you missed my point. The book insists on keeping the real admittance constant. I assumed that the same method would be true for evaluating the circuit as an impedance. I found that by trying to hold the real impedance constant, I was not getting the same answer (inverse, of course) as the book. This is what was stymying me.
Ok I see what you mean. The important point to consider is that the addition of a parallel reactance keeps the real part of admittance unchanged while the addition of a series reactance keeps the real part of the impedance unchanged. However only the parallel solution keeps the original load voltage and hence load power unchanged!

Hope that helps. :)
 
  • #40
uart said:
Ok I see what you mean. The important point to consider is that the addition of a parallel reactance keeps the real part of admittance unchanged while the addition of a series reactance keeps the real part of the impedance unchanged. However only the parallel solution keeps the original load voltage and hence load power unchanged!

Hope that helps. :)

I see that now, and I totally understand where you're coming from about load power. I guess the part I'm still having trouble with is: why should it matter whether we view an object as an impedance or an admittance? We add a reactance in parallel with a load, but whether or not we think of the load as an admittance or impedance changes whether or not the real part is affected? The math works out, but the intuition doesn't.

Thank you for being so helpful.
 
  • #41
Ok, it just comes down to the different way impedances combine in series versus parallel. Series impedances add together in a direct algebraic manner, while parallel impedances dont. Parallel admittances add together in a direct algebraic manner, while series admittances dont. I don't really think there's anything more than that to it.
 

Similar threads

Replies
8
Views
2K
Replies
15
Views
2K
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 55 ·
2
Replies
55
Views
9K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
5K
  • · Replies 6 ·
Replies
6
Views
3K