(Solved): 14. A three phase transposed line is composed of one ACSR, 1,431,000cmil,47/7 Bobolink conductor pe ...

14. A three phase transposed line is composed of one ACSR, $1,431,000\mathrm{cmil},47/7$ Bobolink conductor per phase with flat horizontal spacing of $11\mathrm{m}$ as shown in Figure 22.1. The conductors have a diameter of $3.625\mathrm{cm}$ and a GMR of $1.439\mathrm{cm}$. The line is to be replaced by a three-conductor bundle of ACSR, 477,000 cmil, 26/7 Hawk conductors having the same cross-sectional area of aluminum as the single-conductor line. The conductor have a diameter of $2.1793\mathrm{cm}$ and a GMR of $0.8839\mathrm{cm}$. the new line will also have a flat horizontal configuration, but it is to be operated at a higher voltage and therefore the phase spacing is increased to $14\mathrm{m}$ as measured from the center of the bundles as shown in Figure 22.2. The spacing between conductors in the bundle is 45 cm. Determine (i) The percentage change in the inductance. (Ans: 27.53\%) (ii) The percentage change in the capacitance. (Ans: $35.25\%$ ) Figure 22.2 3 conductor bundled, $\mathrm{GMD}=17.6389\mathrm{m},{\mathrm{GMR}}_{\mathrm{L}}=12.1416,{\mathrm{GMR}}_{\mathrm{c}}=13.01879\mathrm{cm}$ $\mathrm{L}=0.9957\mathrm{mH}/\mathrm{Km},\mathrm{C}=0.0011326?\mathrm{F}/\mathrm{Km}$