(Solved): The one-line diagram of a power grid is depicted by Fig. 1. The data for the grid are g ...

The one-line diagram of a power grid is depicted by Fig. 1. The data for the grid are given in the figure. Assume an MVA base of 100 and base voltage of $13.2\mathrm{kV}$ at bus 7 ; also assume the input reactance of the local power grid is $10\%$ based on the transformer ${\mathrm{T}}_1$. The input resistance of the PV sources is $7\%$ based on their rating and input reactance of other sources is $7\%$ base on their ratings. The local loads (bus 16 , bus 17 and bus 18) and bus 8 are set at 1 MVA at 0.85 power factor lagging. The system data are Transformer ${\mathrm{T}}_1:20\mathrm{MVA},33/13.2\mathrm{kV},10\%$ reactance Transformer ${\mathrm{T}}_2:20$ MVA, $13.2/3.3\mathrm{kV},12\%$ reactance Transformer ${\mathrm{T}}_3:5$ MVA, $3.3/460\mathrm{V},6.5\%$ reactance Transformer ${\mathrm{T}}_4,{\mathrm{T}}_5$, and ${\mathrm{T}}_6:2$ MVA, $3.3/460\mathrm{V},6.5\%$ reactance Transformer ${\mathrm{T}}_7:5\mathrm{MVA},3.3/460\mathrm{V},6\%$ reactance Transmission line impedance is given in Table 1 TABLE 1 Transmission Line Data for Simulation Problem 3. 1. Analyze the power system under the effect of a three-phase-ground fault at bus \#14. 2. You are asked to design a microgrid with minimum cost. Assume the cost of power from local power grid is lower than the cost of small generators that you can place at load buses. As a first step, compute the voltage of bus loads. The mismatch all buses should be less than $10^{?6}$ p.u for both active and reactive power. If the voltages are not within plus and minus five percent or solution does not converge after a few hundred iterations, you can place reactive power (capacitors) at a bus at a time. Propose a solution by placing minimum amount of capacitors to correct the design. Next you can add minimum distributed generation at a bus at a time until you find acceptable load bus voltages. Put your results in a table and discuss your results.