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Commentator

Join Date: May 2009
Location: Mumbai
Posts: 73

How to Calculate Capacitor Required to Compensate Given KVAR?

04/22/2010 10:30 AM

Dear All, I have installed a micro hydro turbine using a INDUCTION GENERATOR on which 20 nos. of 40w tube lights are working. Power generated is as below: 215 V, 3.9 A, 509 Watt, 685 VAR, p.f.= 0.685 lagging How to compensate this reactive 685 VAR to improve the power factor and take more load on this generator? I mean how to calculate the capacitor (micro farad) required to compensate given VAR? If anybody knows, pl. let me know the formula.Thanks Pl. click below link to see the micro hydro turbine running from waste water: http://www.youtube.com/watch?v=emN4wKYX08s

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Power-User

Join Date: Apr 2010
Location: Dominican Republic
Posts: 189
Good Answers: 6
#1

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

04/22/2010 4:17 PM

I'm sure a formula exists but if you have some large capcitors of sufficient voltage rating it may be easier to do a trial by error approach adding and then checking the PF as you go.

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Guru
United States - Member - New Member

Join Date: Jun 2008
Location: Alabama
Posts: 1604
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#2

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

04/22/2010 5:43 PM

Power factor correction capacitors are rated in KVAR at a particular voltage and frequency, so it is not really necessary to calculate the microfarads required. However if you want to give it a try ...................................


For a given capacitance, at a given voltage and frequency, the current through the capacitor can easily be calculated. If you then multiply the voltage across the capacitor by the current through it, you get the VAR of the capacitor. Divide this by one thousand, and you have the KVAR of the capacitor.

You can calculate the current by the voltage divided by the reactance where the reactance is 1/(2 x pi x f x C).
pi =3.142....
f = frequency
C = capacitance.
A bit of algebra and you can come up with the formula to calculate the capacitance from the KVAR.
Use this on line calculator for you calculations to KVAR

http://www.nepsi.com/kvar_calculation.htm

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Power-User

Join Date: Aug 2007
Location: Lahore
Posts: 369
#3

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

04/23/2010 7:05 AM

Your current load is 509w with 0.685pf. Assuming that freq is 50HZ

Target pf is 0.95

QC = K x P

K =Necessary compensation power from pf 0.685 to 0.95

P = Actual power

QC = 0.88 x 508

QC = 447VAR

C = QC/2 x pie x f x vseq

C = =(447/(2*3.14*50*215*215)) * 1000000

C = 30.8uf

http://www.nokiancapacitors.com/documents/04%20-%20theory/EN-TH01-11_2004-Power_Factor_Correction.pdf

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Commentator

Join Date: May 2009
Location: Mumbai
Posts: 73
#5
In reply to #3

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

04/25/2010 10:47 AM

Dear Signode, I have gone through the link given by you and found a table where value of K to be selected for required p.f..But in that file there is not any formula for K. But I think K= (tanǾ1-tanǾ2), where Ǿ1= new pf angle and Ǿ2=old pf angle it is correct ????????

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Power-User

Join Date: Aug 2007
Location: Lahore
Posts: 369
#6
In reply to #3

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

04/26/2010 2:52 AM

I am sorry for one mistaking. For target K value (0.88) is for target cosǾ 0.98 not for 0.95.

The base is,

K = tan1 – tan2

where

tan1 = tan of existing cosǾ
tan2 = tan of target cosǾ

tan1 of cosǾ 0.68 = 1.08

tan2 of target cosǾ = 0.2

K = 0.88

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Guru

Join Date: Feb 2010
Posts: 1013
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#4

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

04/23/2010 10:15 AM

Since you have calculated the VAr = 685 at pf = 0.685

This is the amount you need to compensate to obtain pf = 1

(any other target can be deducted...use the vector diagram showing the active power on the X axis and the reactive powers vertically with Capacitive going down while inductive going up)

VAr is a power same as VA or as VAactive = watt

Therefore VAr = Impedence x Amps^2 here Impedence is the Inductance to compensate with the capacitance, which is 1/(C x 2xpixf) and taking f = 50 Hz will give approx 1/(c x 314.15)

From here on use your maths....

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Guru
Engineering Fields - Mechanical Engineering - New Member

Join Date: May 2008
Location: CHENNAI, TAMIL NADU, INDIA.
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#7

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

05/01/2013 12:00 PM

Dear Mr. dhanesh.koshti,

I need not explain how to calculate to get the required KVAR for improving Power Factor from 0,685 to say 0.9 and that is the Impedence by way Capacitive Reactance.

For calculating Farads. Capacitive Impedence in OHMS = 1/(2x3.142xFxC) Hence C an be calculated.

DHAYANANDHAN.S

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Member

Join Date: May 2013
Posts: 6
#8

Re: How to Calculate Capacitor Required to Compensate Given KVAR?

05/01/2013 1:18 PM

कोष्ठी जी नमस्कार ,

मुझे ख़ुशी हुई की आप इस फोरम में है , मैं आपको बताना चाहूँगा की इसी फोरम के

डिस्कशन से मुझे capacitor के calculation का पता चला है । मैंने इसके लिए एक excel sheet

भी तैयार की है जिसमे मोटर के नेमप्लेट की डाटा डालते ही , जनरेटर के लिए दोनों मोड (star & delta) के

capacitor का साइज़ बता देता है । अगर आप चाहे तो आपको वो मेल कर सकता हूँ ।


thanks ,
अतुल देशमुख

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