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