You are given the R', L', and C' matrices for a 200 km, 500 kV transmission line. Do the following:
Compute the steady-state per phase charging current if the receiving end is open-circuited and the sending end is connected to an ideal source. Assume balanced, steady-state operation and use the appropriate line model. Compute the modal R, L, and C parameters along with the modal characteristic impedances, propagation velocities, and travel time using the Clark transformation (since the matrices given below show that the line is transposed). Assume resistances are divided as in the EMTP model (1/4 of total R lumped at each end and 1/2 in the middle of the line). Suppose the line is energized with phase closed at the voltage peak (assumed balanced three phase). Calculate the initial current on each of the three phases. Estimate the peak voltages seen at the receiving end for the energization of part (c) if the receiving end is open-circuited. Calculate the resistance value for the preinsertion resistor for this line. Implement this line in your transients program as the Bergeron line model. Run cases to determine the requested values for parts (a), (c), and (d). Also simulate a case with your preinsertion resistance from part (e).
Ohm Ohm Ohm 0.2917 0.1667 0.1667 km km km
Ohm Ohm Ohm R = 0.1667 0.2917 0.1667 km km km
Ohm Ohm Ohm 0.1667 0.1667 0.2917 km km km
mH mH 1.67 0.83 mH 0.83 km km km
mH mH L = 0.83 1.67 0.83 km km km 0.83 mH 0.83 mH 1.67 mH km km km
IL.5 nF nF -2.0 -2.0 km km km nF -2.0- H5 nF nF -2.0 km km km nF nF -2.0 -2.0 IL5 nF km km km