Abstract—Faults lead to de-energising of a section of transmission line thus decreasing the reliability of the system. Power swing affects the distance relays leading to false alarms which were the leading cause of unreliability. Faults cause permanent movement of the operating point in RX plot with a transient oscillation. The locus of power swing forms closed loops. Here, impedance angles were used to discriminate the faults from power swing. The investigation was carried out along with three dimensional plots to visualize the locus of impedance in resistance, reactance and time axis. Results signify that faults were differentiated from power swing using differential impedance angle. The test cases include all the unbalanced faults as well as an unstable swing. Power swing formed bi-conical loops above and below the ideal operating impedance, while differential impedance formed hyperboloid with the mean impedance being zero. Simulations were carried out in a 2 bus system and all the voltages and currents were extracted from the center of transmission line. Visual representation of normal operating impedances and power swing using three dimensional plots (R – X – t space) and (dR/dt – dX/dt – t space) were shown in the Appendix.

Index Terms—Faults, impedance angle, power swing, R–X–t space, dR/dt–dX/dt–t space.

Aldrich Zeno and Jordan Rel Orillaza are with University of the Philippines Diliman, Quezon City, Philippines.

Cite:Aldrich Zeno, Jordan Rel Orillaza, "Discriminating Faults from Power Swing Using Impedance Angle and Analysis in Three Dimensional Space," International Journal of Computer and Electrical Engineering vol. 11, no. 1, pp. 页码, 2019.