What Capacitance is Needed for a 50 kW Load with a 60% Lagging Power Factor?

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Discussion Overview

The discussion revolves around determining the capacitance required to correct the power factor of a 50 kW load operating at a 60% lagging power factor to a target of 90% lagging power factor. The context includes aspects of electrical engineering, specifically power factor correction in AC circuits.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant seeks clarification on the question regarding the capacitance needed for power factor correction and mentions a PDF file that may contain relevant information.
  • Another participant points out that the original post was moved to the homework help forum and emphasizes the importance of including text in future posts.
  • A participant expresses uncertainty about the specifics of the question, suggesting that the goal is to correct the power factor from 0.60 to 0.90 and questions if any part of the question was omitted.
  • One participant provides a clearer version of the question, specifying the parameters of the load and the desired power factor correction.
  • Another participant suggests a method for solving the problem, indicating that the active power remains constant while the reactive power changes with the power factor, and emphasizes the need to calculate the change in reactive power to find the required capacitance.

Areas of Agreement / Disagreement

Participants generally agree on the need to correct the power factor and the parameters involved, but there is some uncertainty about the specifics of the question and the method to be used for the calculation. No consensus is reached on the exact approach to take.

Contextual Notes

There are limitations in the clarity of the original question, and assumptions about the method for calculating capacitance are not fully resolved. The discussion relies on the definitions of power factor and reactive power, which may vary in interpretation.

andyskin
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Please can you have a look at the file at point me in the right direction if I'm wrong.

Thank you
 

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Welcome to PF.

I moved your post to the homework help forum. Normally, we don't allow posts in the form of all pictures in a PDF file, but your pictures are easy to read. I hope you attract some hints from our helpers.

Next time, please type in the text parts of your question and use copy/paste or the ATTACH button to include pictures of the graphics.
 
Sorry didn’t know there was a homework section
 
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Hi,

I'm not sure what you're trying to ask in the question. Determine the capacitance that must be placed in parallel to...? What are you trying to do? In the PDF file you attached, it seems as though you're trying to correct the Power Factor from 0.60 to 0.90. However, you're also solving for the Power that needs to be supplied?
Is there a part of the question you might have forgotten to add?

If you're trying to correct the Power Factor from 0.60 to 0.90, please find the Power Factor Correction.pdf file attached. This is the method that should lead you to the correct answer if you want to determine the value of the capacitor required in order to correct the Power Factor.
 

Attachments

Last edited:
the full question meant to read:

A 50 kW load operates from a 60 Hz 10 kV rms line with a power factor of 60% lagging. Determine the capacitance that must be placed in parallel with the load to achieve a 90% lagging power factor.
 
andyskin said:
the full question meant to read:

A 50 kW load operates from a 60 Hz 10 kV rms line with a power factor of 60% lagging. Determine the capacitance that must be placed in parallel with the load to achieve a 90% lagging power factor.
I see. Then, in that case, you just need to change the ending of your method. You need to equate the two equations of "XC" (Finding the reactance that's coming from the capacitor). I attached the derivation of that in the Equations.PNG file. The reason for this is because your "Active Power" (P) is not changing when you change the Power Factor. However, your "Reactive Power" (Q) is changing with the different Power Factors.
Capacitors supply reactive power "Q" to the circuit. Therefore, you need to use the "change in reactive power" to calculate the capacitance value needed to supply that amount of "Q".
 

Attachments

  • Equation.PNG
    Equation.PNG
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Last edited:
thank you for your help, i'll have a look
 

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