1 2.For a 4-bus power system, bus 1 is the swing bus with |-1.05, 01o; bus 2 has one generator With injected real power of 2.5 p.u. and-1.02: bus 3 has one generator with injected real power of 1.5 p u. one load with 2-ti p u., and irgC098: bus 4 has one load with 3tji pa Each line has the same reactance of701 .u. and s hunt capacitor with an admittance of j0.01 p.u. at each end, and line resistances are neglected 2. N2 1.32 ) Determine system bus admittance matrix Yu (21 Determine the dimension of the Jacobian matrix for power flow analysis and illustrate what arc the variables to be solved. Write the power flow equations for the real power at bus 3, real and reactive power at bus 4, using thc given numerical mumbers (4) Write down the mismatch cquation(s) that are required in the solution procedure. (5) Write the elements of Jacobian matrix 2 and e cvy (6) Prove J r() (7) Write down the update formula in terms of J and the solution vector for this problem. (8) Explain what is the Flat Start and Hot Start in N-R algorithm. (9) Write the power flow equations for DC Power Flow and write the equations to solve branch flows. (use the numerical number in Ybus obtained from 1st question and injected power) 10) Write the equation for Fast Decoupled Power Flow and explain how it improves full N-R algorithm