below the single line diagram is shown for a load supplied from two generators o

Question

below the single line diagram is shown for a load supplied from two generators over lines having the impedances per phase given on the diagram. The load requires 10 kW at 0.8 power factor lagging. Generator G1 (which is Y connected) operates at the terminal voltage of 420V line to line and supplies 5 kW to the power system at a power factor of 0.8 (the generator supplies reactive power to the power system). Perform your calculations using per unit values. Select 415V as the base voltage and 1OkVA as the base power. Determine the base impedance and base current. (5%) Convert the impedance values of the transmission lines into per unit values. (5%) Find the per unit value of the load voltage. (5%) Determine the terminal voltage of Generator G2 (which is delta connected), as well as the per unit values of the real and reactive power output of Generator G2. (10%) Power System with two generators feeding a load

Explanation / Answer

a) Zbase = Vbase^2/Sbase = 415^2/(10*10^3) = 17.2225 ohm Ibase = Sbase/Vbase = (10*10^3)/415 = 24.0963855 ampere b) Z1 = (0.2 + j1.1) ohm = (0.2 + j1.1)/ 17.2225 p.u. = 0.0116127159 + j0.0638699376 p.u. Z2 = (0.3 +j1.0) ohm = 0.0174190739 + j0.0580635796 p.u.

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