Saturday, 1 June 2013

A Solved problem to draw the per unit Reactance Diagram



A Solved problem to draw the per unit Reactance Diagram

Draw the per unit reactance diagram for the power systems shown below. Neglect resistance and use a base of 100MVA, 220KV in 50 ohms line. The ratings of the generator, motor and transformers are

dia

G: 40 MVA, 25 KV, X'' = 20%; M: 50 MVA, 11 KV, X'' = 30%

T1:40 MVA, 33 Y / 220 Y KV, X = 15%; T2: 30 MVA, 11 Δ /220Y KV, X = 15%

Load: 11 KV, 50MW + j68 MVAR

Solution:

Base MVAb new = 100 MVA; Base KVb new = 220 KV

Transmission line j50 Ω:

Zactual = j50 Ω

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Transformer T1:

KVb old = 220 KV

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Generator G1:

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Transformer T2:

KVb old = 220 KV (HT side voltage)

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Synchronous motor:

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Reactance diagram:

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