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Participant

Join Date: May 2010
Posts: 2

# Calculation of Unbalanced 3 Phase Power?

05/22/2010 1:58 AM

I have taken the Line Voltage and current readings of many offices in my commercial building and I want to calculate the Power consumed by each office.

Eg. V(line) : 419 V 418V 420V

I(Line): 24A 29A 14A

The power factor for the office is at .944

Please guide how to calculate the 3 phase power for this office...

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Power-User

Join Date: Mar 2010
Posts: 106
#1

### Re: Calculation of Unbalanced 3 Phase Power?

05/22/2010 3:37 AM

Dear Sir,

There are meters available to measure power(Kw) and energy ( Kwh).You

can use them. Since you have taken the Voltage & current and the pf ,a simple

( not technically correct ) way is 1.732 x Line Voltage x Line Current X pf ( take

average value for Volts and current). This shoul give fairly good value for power.

For your reading -1.732 x 419 x 22.33 x .944 = 15,297 W ( 15.297 Kw)

Manroop Chennai.

Anonymous Poster
#2

### Re: Calculation of Unbalanced 3 Phase Power?

05/22/2010 4:18 AM

The power is instantaneous reading (the moment you have done the measurement)

Most likely (may be wrong) you are interested in Energy consumption.

That can not be done by this method, since the currents will keep on variying as a light is switched off, an AC goes into sleep, Fridge compressor trips,...

To know energy consumption, you have to integrate the ∫VICosΦdt

All this effort can be done by a simple KW meter as mentioned in previous post.

Power-User

Join Date: May 2010
Posts: 141
#3

### Re: Calculation of Unbalanced 3 Phase Power?

05/22/2010 5:20 AM

Do you want to know the power consumed for a particular period?...Get the help of reading from energymeter. If you want to know the total load of each office, then calculate each circuit load and add . Is it the current reading you mentioned is full load condition? I beleive the readings are given for one phase of 3 offices.( or 3 phases of 1 office?)

Dont you have any load schedule for the distribution board?... What is the utilization factor and demand load of each distribution board?

Commentator

Join Date: Feb 2010
Location: India
Posts: 93
#4

### Re: Calculation of Unbalanced 3 Phase Power?

05/22/2010 10:34 AM

You have to collect maximum demands of all offices in your commercial building. You must have a clear idea about the max. load of all offices when all loads are ON. If you have three offices which are being fed by three different phases then you can get the max. loads on each phase. Same time you collect the energy meter readings of each offices in Kwh and divide the value by 24x30 hours to get the average load per day in each phase.

Power-User

Join Date: Aug 2009
Location: Gulf Region, IIEE_CRCSA
Posts: 113
#5

### Re: Calculation of Unbalanced 3 Phase Power?

05/23/2010 1:16 AM

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Guru

Join Date: Nov 2009
Location: Izmir, Turkey
Posts: 2144
#6

### Re: Calculation of Unbalanced 3 Phase Power?

05/23/2010 1:42 AM

Get a class 1 power meter that connects with clamp on CTs and get a real reading over a weeks time - then move to the next office. Most of the suggestions are only going to give you a swag. The name plate power requirements for many pieces of equipment are very different from actual - could be either way, higher or lower.

Anonymous Poster
#7

### Re: Calculation of Unbalanced 3 Phase Power?

05/23/2010 10:22 AM

Dear Sir,

The calculation of unbalanced power supply may be done by summarizing of every phase power, so:

P1 = 419V/sqrt(3)*24A*0.944 = 5481 (W)

P2 = 418V/sqrt(3)*29A*0.944 = 6607 (W)

P3 = 420V/sqrt(3)*14A*0.944 = 3205 (W)

Ptot = P1+P2+P3 = 15,293 W

Thats all

Power-User

Join Date: May 2010
Posts: 141
#8

### Re: Calculation of Unbalanced 3 Phase Power?

05/23/2010 11:44 AM

what is this formula sir, how did you get P1,P2 and P3 using this formula, sir?....

Anonymous Poster
#9

### Re: Calculation of Unbalanced 3 Phase Power?

05/23/2010 1:21 PM

I am not the original replyer, however the answer makes sense. When have 3 phase balanced load, you can use (sqr.3 x IL x V LL x Pf). If you do not have a balanced load you use: (V Phase X IL x pf), you do not multiply by sqr 3. However assuming a Y connected load to get the Vphase you will divide VL by Sqr 3.

Eg. If you have a balance load of 3 phase, 10A, VL = 208

Then P=sqr3 x 10 x 208 = 3600W

If you have a balance unbalanced load of 3 phase 10A, 8A, 6A, VL = 208

Then Vp = 208/(sqr 3) = 120V

P1=P Aphase = 10A x 120V = 1200 W

P2=P Bphase = 8A x 120V = 960 W

P3=P Cphase = 6A x 120V = 720 W

To find the total Power = P1 + P2 +P3 = 1200+960+720 = 2880W

This is the same as using the average of 10A, 8A, and 6A = 8A

If you use 8A then P total = (sqr 3) x 8 x 208 = 2880W

Guru

Join Date: Feb 2010
Posts: 1016
#10

### Re: Calculation of Unbalanced 3 Phase Power?

05/23/2010 3:29 PM

The reply by Guest in #7 will help you and is correct for each office circuit. But this is the load at the time of measurement and should be monitored for some time or for several intervals and then averaged for a period of time covering the office hours...You must monitor to find the peak load for each...

For a better measurement is to use an energy meterto record the total energy consumed for a period of time and deduct an average. But you should also consider the peak value for each circuit (This was suggested before).

Participant

Join Date: May 2010
Posts: 2
#11

### Re: Calculation of Unbalanced 3 Phase Power?

05/24/2010 4:25 AM

Thank you all !!!!

Hope to continue the fruitful discussion further.

Thank You !!!

Harmeet Singh

Kolkata

Participant

Join Date: Sep 2016
Posts: 1
#12

### Re: Calculation of Unbalanced 3 Phase Power?

09/11/2016 2:50 AM

[Ptotal= √3(Vline)(Lline)(pf.)]

P1= √3(419V)(19A)(0.944)=16442.12W

P2= √3(418V)(29A)(0.944)=19820.15W

P3= √3(420V)(14A)(0.944)=9614.13W

Way solve three phase power in balanced system but this can not use to solve unbalanced system .

Member

Join Date: Jan 2017
Posts: 7
#13

### Re: Calculation of Unbalanced 3 Phase Power?

01/26/2017 2:52 PM

Is there a simple formula to solve current per Leg in an unbalanced 3ph delta if only the L-L current is known?

Ex.

L1:L2 - 91amps

L2:L3 - 78amps

L3:L1 - 91amps

How do I determine the line current of each leg?