Solution:

  1. Utility
    Z_u=(kV_p)^2/MVA_u

    Z_u=(13.8)^2/436

    Z_u=underline{0.43679}~ohms

    R_u=Z_u*cos(atan(X/R)_u)

    R_u=0.43679*cos(atan(15))

    R_u=underline{0.02905}~ohms

    X_u=R_u*(X/R)_u

    X_u=underline{0.43582}~ohms

  2. Cable 1
    R_c1=r_c1*{L_c1/n}

    R_c1=(0.39/1000)*{1300/1}

    R_c1=underline{0.50700}~ohms

    X_c1=x_c1*{L_c1/n}

    X_c1=(0.039/1000)*{1300/1}

    X_c1=underline{0.05070}~ohms

  3. Transformer
    Z_tp={({%Z}/100)}*{(kV_tp)^2}/{MVA}

    Z_tp={(5.75/100)}*{13.8^2}/2

    Z_tp=underline{5.47515}~ohms

    R_tp={Z_tp}*cos(atan(X/R))

    R_tp=5.47515*cos(atan(5.662))

    R_tp=underline{0.952261}~ohms

    X_tp={R_tp}*(X/R)

    X_tp=0.952261*5.662

    X_tp=underline{5.391703}~ohms

  4. Cable 2
    R_c2=r_c2*{L_c1/n}

    R_c2=(0.048/1000)*{500/2}

    R_c2=underline{0.01200}~ohms

    X_c2=x_c2*{L_c2/n}

    X_c2=(0.029/1000)*{500/2}

    X_c2=underline{0.05070}~ohms

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