The bus admittance matrix and power flow 2

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EXERCISES FOR ELECTRIC POWER SYSTEMS COURSE ENERGY DEPARTMENT, Electrical section Class 7b The Bus admittance matrix and Power Flow Consider the following electrical network with Line /g1850/g3039 /g4670Ω//g1863/g1865 /g4671 /g1838/g1857/g1866/g1859/g1872 /g1860 /g4670/g1863/g1865 /g4671 /g1848/g3041 /g4670/g1863/g1848 /g4671 L1 0.4 30 150 Transformer A n [MVA ] k [kV / kV ] vsc [%] T1 60 150 / 20 10 T2 60 150 / 20 10 Generator A n [MVA ] /g1848/g3041 /g4670/g1863/g1848 /g4671 G 250 150 The industrial plant C absorbs a real power of 70 MW with lagging power factor of cos /g2030 /g3404 0.92 . The synchronous generator produces 150 MW and imposes at its terminals a voltage of 153 kV. The external grid (RE) is modeled as an infinite power generator and imposes at its busbar a voltage of 147 kV. Determine 1. The bus admittance matrix by network inspection. 2. Identify the bus types for Power Flow (PF) computations; 3. Choose the starting profile for the iterative process of PF; 4. Write the PF system of equations; 5. Solve the PF system of equations using the Gauss method, considering the tolerance equal to 0.001; 6. Solve the PF system of equations using the Newton-Rhapson method, considering the tolerance equal to 0.001. NOTE : all the computations will be made in p.u. R E C G T1 T2 L 1 23