Calculation No. Calc-001,   Rev: A
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Calculate the Motor Current where:
VppV_{pp} Supply Voltage 400 V
PP Motor Active Power 90 kW
μμ Motor Efficiency 0.97
PFPF Power Factor 0.85 V


Current:
I=(P/μ)×10003×Vpp×PF=(90/0.97)×10003×400×0.85=157.555AmpsI = \dfrac{(P/\mu) \times 1000}{\sqrt{3} \times V_{pp} \times PF} = \dfrac{(90/0.97) \times 1000}{\sqrt{3} \times 400 \times 0.85} =157.555 \enspace Amps
Apparent Power:
S=3×Vpp×Ip1000=3×400×157.5551000=109.157kVAS = \dfrac{\sqrt{3} \times V_{pp} \times I_{p}}{1000} = \dfrac{\sqrt{3} \times 400 \times 157.555}{1000} =109.157 \enspace kVA
Reactive Power:
Q=P2S2=902109.1572=108.329kVArQ = \sqrt{P^2 - S^2} = \sqrt{90^2 - 109.157^2 } =108.329 \enspace kVAr
Phase Angle:
θ=Cos(PF)×180pi=Cos(109.157)×1803.141592=37.814Degrees\theta = Cos(PF) \times \dfrac{ 180 }{pi} = Cos(109.157) \times \dfrac{ 180 }{ 3.141592 } = 37.814 \enspace Degrees


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Calc-001 - Rev: A
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