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Please write your answer in either Korea or English. 1. (100 points) The following power system in Figure 1 includes an S12 of 50+j50 MVA load. The line impedance (e.g., z) is j0.1 p.u. V₁ = 120°p.u. Sbase is 100 MVA. Please select the two methods from the Gauss-Seidel, Newton-Raphson, fast decoupled, and DC power flow analysis methods and perform at least two iterations to determine the voltage (e.g., magnitude and angle) of bus 2. Assume an initial value of 120° p.u. for bus 2. V₁ V₂ SL2 Figure 1. Two-bus example. a) (25 points) Find 1/2 (in p.u. and in the polar form) with degrees using the Gauss-Seidel method. b) (25 points) Find 1/2 (in p.u. and in the polar form) using the Newton-Raphson method. c) (25 points) Find 1/2 (in p.u. and in the polar form) using the fast decoupled method. d) (25 points) Find V2 (in p.u. and in the polar form) using the DC method. In this method, one iteration is enough.