Question

Consider a 2-generator power system feeding a load through transmission network as shown in Figure below. The impedance data of the network is given in pu values on 100 MVA base. Using NR method find the bus voltages after two i terations. The scheduled power and nominal bus pu bus voltages are indicated in Figure below.

Consider a 2-generator power system feeding a load through transmission network as shown in Figure 2. The impedance data of the network is given in pu values on 100 MVA base. Using NR method find the bus voltages after two i terations. The scheduled power and nominal bus pu bus voltages indicated in Figure 2. are

Answer 1

Given power system network: Base value = 100 MVA To do the newton raphson method first we must know the unknown values of given network. & to do the voltage v_1, v_2, v_3 and s_1, s_2, s_3 of given network initially we can notify the network elements, known state - s_1, v_1, v_2 number of = 3 = 1st, 2nd, 3rd unknown states - s_2, s_3, v_3 voltage bus - 1 = v_1 bus - 2 = v_2 bus - 3 = v_3 so we can find the unknown angle bus - 1 = s_1 elements for these we can calculate bus - 2 = s_2 elements for these we can calculate bus - 3 = s_3 y bus matrix initially - i.e. for[p_2, p_3 & Q_3] simply make a diagram of given network y_12 = 1/j 0.12 = - 8.33 j y_23 = 1/j 0.1 = 10 j y_31 = 1/j 0.09 = - 11.11 j y_bus = [- j 19.44 j 8.33 11.11 j j8.33 - j 18.33 10 j 11.11 j 10 j - 21.11 j]