Question

BUS 1 BUS 2 Line Line 2 Line 3 Line 4 BUS 3 BUS 4 4x 4 bus admittance matrix for the above power system Generator active power injected into bus i Generator reactive power injected into bus i Active power demand at bus i Pa Reactive power demand at bus i Pg Pa Qi- Qai voltage at bus i Vi Vi Element of matrix Y expression for Ps in terms of V3.V1 V4, , 1., 84, y33. y31. y34, 03, O31 and 034 Derive an

Answer 1

Bus 1 s7'A Bis Line ine 3 13- ine 2 Line 4 Bus 3 33 Bus4 admiliance betrecn Bus & Bus 3 trenamision line 3 1 admitance betueen Bus 3 & Bus 4 tnsmisnine 34 Real pouer eceived at. i Bus from j* Bus s whoe Since impelane - admttance o 0 o

Since Bus 3 is Connected to Busb Bus4 via traninjon line Line 3 k Line 4 Pence raal pouey ruccved at Buss have from Bus &Bus u ue Reak pouer recived fremi Bus at Bus 3 31 (vsing egn 0) PMIICas(S-8,-) Since o a 871 714 I Cas(,--g) 31 Real pouer neceved frem Bis u at Bus 3 34 34 (0 n) Since Total neal powey received atBus 3, fe ne have (Geneatd eal pouer njekd in Bus 3 31 34

Self admuttanee, shunt adnitance Connected betiveen Bus & load t ih Bus Since eal power demanded |Zil rBus3 & y32-143 33 33 33 Real pouer supplied ov denavded =a3 ( G) 33 'd3 3 Since Ttal real pouer at Bus 3, fom 3 , we get 34 V3 1Cos (0s)
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