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You are asked to calculate the KWatts and KVars of a three phase customer that is serviced from a 138KV circuit. The voltage is 117V, the current reading 2.5 amps and the Power Factor is 0.89. The CT ratio is 200:1. The VT ratio is 700:1. What are the Kw and Kvars of the load?

 Oct 29, 2015
 #1
avatar+6251 
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Ok I'll take a stab at this.

 

VT ratio of 700 means that you are reading 1/700 of the actual voltage.

CT ratio of 200 means you are reading 1/200 of the actual current

 

V = (700)117 = 81900V

A = 200(2.5) = 500A

 

VA=81900 x 500 VA = 40950 kVA


\(kWatts = PF \times kVA = 0.89 \times 40950 ~kVA = 36445.5~ kWatts\\ kVAR = \sqrt{1-PF^2} \times kVA = 0.46 40950 ~kVA = 18671.6~ kVAR\)

 Oct 29, 2015
 #2
avatar+1036 
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For 3 phase power multiply the VA  by \(\sqrt{3}\) 

 

\(VA=81900 * 500 * \sqrt{3}\; VA = 70927.5 ~ kVA\\ \\\;\\ kWatts = PF * kVA = 0.89 * 70927.5 ~kVA = 63125~ kWatts\\ kVAR = \sqrt{1-PF^2} * kVA = 0.46 40950 *70927.5 = 32341.0~ kVAR\\ \)

 Oct 30, 2015

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