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112 Chapter 8 Problem Solutions 8.1 Form Zpus for the circuit of Fig. 8.13 after removing node 6) by converting the voltage source to a current source. Determine the voltages with respect to reference node at each of the four other nodes when V = 1.2/0º and the load currents are [11 = —j0.1, Ito = —j0.1, Ira = —30.2 and Tr, = — 50.2 allin per unit. Solution: When the voltage source is converted to a current source and added as an injected current at that node, the voltages are j02 502 302 j02 308 502 2 J02 JOB jo? 50,6 502 Zrusl = j02 0.6 30.2 31.1 -559 1.08 j91 | | 09 joz | É | 0.96 j0.2 0.86 per unit Alternatively, if the high-side of the voltage source is chosen as the reference: j02 502 502 jO2 0.6 502 j02 0.2 508 j0.2 50.6 30.2 Dousl = and the bus voltages are 12x 1 1 1 1 j0.2 508 j0.2 RI =0.12 —0.24 —0.24 =0.34 50.1 -012 =| -02 joz | É | 02 j0.2 -0.34 1.08 0.96 . 0.96 per unit 0.86 per unit