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Derive the relation between power in Delta and Star Systems
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written 2.9 years ago by
teamques10
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Step 1: Calculate power in a star system
Power per phase: $P_{ph}=V_{ph} I_{ph} \ \cosϕ$
Total power PT :
$PT =3P_{ph} \\[2ex] PT=3 V_{ph} I_{ph} \ cosϕ \\[2ex] PT=3\times\dfrac{V_L}{\sqrt{3}}\times\dfrac{V_L}{\sqrt3 Z}=\dfrac{(V_L^2)}Z cosϕ \ \ \ ...(1) $
Step 2: Total power in a delta circuit
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