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An overhead three-phase distribution line is constructed as shown in the figure below. The phase conductors have the following parameters: GMR=0.0171 ft, Resistance=0.41 /mile; and the neutral conductor has the

following parameters: GMR=0.014 ft, Resistance=0.611 /mile. The line is 1 mile long. 3.1) Find the primitive impedance matrix [Z primitive] of the line using modified Carson's equations. The rows and columns should follow the order of a-b-c-n. (36 points)

Fig: 1

Fig: 2

Fig: 3