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Question 9.93: A power transmission system is modeled as shown in Fig. 9.92...

A power transmission system is modeled as shown in Fig. 9.92. Given the following;

Source voltage        V_{s} = 115 ∠ 0 ^{o} V,

Source impedance       Z_{s} = 1 + j0.5Ω ,

Line impedance        Z_{l} = 0.4 + j0.3Ω ,

Load impedance        Z_{L} = 23.2 + j18.9Ω ,

find the load current        I_{L}

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\begin{array}{l}{Z}={Z}_{\mathrm{s}}+2 {Z}_{\ell}+{Z}_{\mathrm{L}} \\\\{Z}=(1+0.8+23.2)+\mathrm{j}(0.5+0.6+18.9) \\\\{Z}=25+\mathrm{j} 20 \\\\{I}_{\mathrm{L}}=\frac{{V}_{\mathrm{S}}}{{Z}}=\frac{115 \angle 0^{\circ}}{32.02 \angle 38.66^{\circ}} \\\\{I}_{\mathrm{L}}={3.592} \angle {- 3 8 . 6 6}^{\circ} {A}\end{array}

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