Newton-Raphson Power Flow

STEP 1: Enter the number of buses in a power system. Then, click on the “Generate Bus Table” and fill the details of buses i.e., Bus Type (Slack Bus = 1, PV Bus = 2, PQ Bus = 3), Voltage magnitude (pu), Angle (degree), P_gen (pu), Q_gen (pu), P_load (pu), Q_load (pu), Q_min (pu), Q_max (pu).

Note: Bus data for two standard IEEE bus systems are provided- (I) IEEE 5-Bus system and (II) IEEE 14-Bus system. To access the data click on the button of Autofill Bus Data: IEEE 5-Bus or Autofill Bus Data: IEEE 14-Bus.

STEP 2: Enter the number of lines in a power system. Then, click on the “Generate Line Table” and fill the details of lines i.e., From Bus, To Bus, R (pu), X (pu), B (pu) (Full line charging admittance), Transformer Tap.
Note: Line data for two standard IEEE bus systems are provided- (I) IEEE 5-Bus system and (II) IEEE 14-Bus system. To access the data click on the button of Autofill Line Data: IEEE 5-Bus or Autofill Line Data: IEEE 14-Bus.

STEP 3: Click on “Calculate Y-Bus”. The values of the Y-Bus matrix will be displayed.

STEP 4: Enter the Tolerance limit value and Maximum allowed iteration. The values for the tolerance limit and the maximum allowed iterations will be set.

STEP 5: Click on “Run Power Flow”. The number of iterations, Buses data: Bus Type, Voltage magnitude (pu), Angle (degree), P_gen (pu), Q_gen (pu), P_load (pu), Q_load (pu), Line flows data: P_line (pu), Q_line (pu), P_loss (pu), Q_loss (pu), Total real and reactive power losses (pu) after convergence will be displayed.

Note1: If the power flow does not converge within the maximum allowed iterations, a message will pop up stating, “The power flow analysis did not converge within the maximum allowed iterations”.

Note2: The convergence characteristics of the solution can be analyzed by varying the maximum number of iterations and the tolerance limit. Also, the tolerance limit can be increased if the solution does not converge.