A 50 Hz, three-phase, 400 kV, 200 km long transmission line has reactance and susceptance of...

 

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A 50 Hz, three-phase, 400 kV, 200 km long transmission line has reactance and susceptance of The line is modelled with nominal X = 81.6 2 B = 6.29 104/90° S model. a) Derive the formula to determine the amount of reactor compensation required (Xsh) on a unloaded transmission line to maintain the receiving end voltage at specific value. In other words, formula XLsh = VR sin(31) Vs - cos(31) Zc is derived for long lone model. The task is to derive the same type of formula for nominal π model. b) Using formula from a) determine the reactance and rating of a shunt reactor to be connected at the receiving end if the receiving end voltage is to be maintained at 400 kV at no load; A 50 Hz, three-phase, 400 kV, 200 km long transmission line has reactance and susceptance of The line is modelled with nominal X = 81.6 2 B = 6.29 104/90° S model. a) Derive the formula to determine the amount of reactor compensation required (Xsh) on a unloaded transmission line to maintain the receiving end voltage at specific value. In other words, formula XLsh = VR sin(31) Vs - cos(31) Zc is derived for long lone model. The task is to derive the same type of formula for nominal π model. b) Using formula from a) determine the reactance and rating of a shunt reactor to be connected at the receiving end if the receiving end voltage is to be maintained at 400 kV at no load;