Equivalent capacitor for an inductor to make PF=1

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Discussion Overview

The discussion revolves around the need to correct power factor (PF) issues in an AC circuit that has been negatively impacted by the addition of a capacitor. Participants explore the implications of adding an inductor to address these issues, including calculations for equivalent inductance and considerations for circuit design.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant describes the need for an equivalent inductance formula to counteract the effects of a capacitor that has reduced the power factor.
  • Another participant provides a method for calculating power factor-correcting inductance using complex power equations, suggesting a relationship between voltage, inductance, and quality factor.
  • Some participants argue that adding an inductor in parallel may not effectively resolve the issues caused by the capacitor, suggesting that reducing capacitance might be a better approach.
  • A warning is issued about the potential dangers of creating resonant circuits at line frequency, which could lead to destructive current and voltage levels.
  • One participant notes that adding inductance in series with the load may be more beneficial than adding it in parallel, especially in systems with rectifier diodes and DC storage capacitors.
  • Concerns are raised about the limitations of using capacitors for PF correction in the presence of high-frequency harmonics.
  • A participant expresses uncertainty about removing the capacitor without understanding what an STR is.
  • Another participant mentions the importance of voltage ratings for inductors when selecting components online.

Areas of Agreement / Disagreement

Participants express differing views on the best approach to correct the power factor, with no consensus on whether to add an inductor or reduce capacitance. The discussion remains unresolved regarding the optimal solution.

Contextual Notes

Participants highlight various assumptions regarding circuit behavior, the impact of harmonics, and the conditions under which inductors or capacitors should be adjusted. There are mentions of specific circuit configurations that may affect the outcomes of proposed solutions.

dE_logics
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For some reason I had to apply a capacitor in parallel to an AC circuit which has reduced the power factor as a result some power generating AC equipments are complaining (overload).

Now I need to apply an inductor in parallel to fix that. For that I need a formula which gives me the equivalent inductance for some capacitance.

Thanks for the solution!
 
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The equation for Pf-correcting capacitance is derived by plugging the impedance of a capacitor into the equation for complex power. The Pf-correcting inductance can be calculated in the same way:

ZL=jωL
S={Vrms2}/{ZL}

substituting the first into the second:

QL={Vrms2}/{ωL}

L={Vrms2}/{ωQL}
 
Whatever you did by placing the capacitor in will be undone by placing an inductor in parallel.
 
If you now have capacitance in parallel with the load, and the PF is over compensated, then it is far better to reduce the capacitance than to add an inductor.

Your aim should be to select a capacitance that reduces the total current to a minimum, that will give a PF close to 1.00

I keep a set of various AC capacitors with a current meter, I can then select the appropriate value by measuring the total current with different capacitance values.
 
Listen to Baluncore.
Beware of creating circuits that resonate at line frequency. They can cause destructive levels of current and voltage.
 
dE_logics in OP said:
Now I need to apply an inductor in parallel to fix that.
You may find that you need to add inductance in series with the load, rather than in parallel as used with capacitor correction.

One problem that is often seen with power supplies that employ rectifier diodes charging a DC storage capacitor, is that the current flows only during voltage peaks. No matter how much capacitance is used in parallel to provide sinusoidal PF compensation, it cannot correct for the high frequency harmonics of the current pulse peaks.

To correct PF in that situation you need a PF corrected DC power supply that has a different input topology.

The addition of an inductor between the input rectifier and storage capacitor can make a difference to some existing systems, but that is usually more expensive than the newer switching PF corrected supplies.
 
I may remove that capacitor, but only if I figure out what's an STR.
 
From all inductors I'm seeing online, their voltage rating is now given.
 

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