Method and control system for fault direction detection
A method for detecting fault direction of a transmission line of an AC power system and a control system using the same. The method includes sampling current values and voltage values at one end of the transmission line for a series of time points; computing instantaneous voltage values at compensated point on the transmission line from the current value samples and the voltage value samples based on a time domain lumped parameter differential equation for the transmission line for the series of time points; recording the current value samples and the computed instantaneous voltage values at the compensated point; computing at least one voltage fault component each using the recorded computed instantaneous voltage values for at least the at least two of the series of time points; identifying the fault direction in consideration of the at least one computed voltage fault component and the at least one computed current fault component; and generating a fault direction signal indicating the identified fault direction. Where a fault directional element is designed using the voltage fault components at the compensated point, it will work well for the AC power system with strong power source.
1. A method for detecting fault direction of transmission line of an AC power system, the method comprising:
sampling current values and voltage values at one end of the transmission line for a series of time points;
computing instantaneous voltage values at compensated point on the transmission line from the current value samples and the voltage value samples based on a time domain lumped parameter differential equation for the transmission line for the series of time points;
recording the current value samples and the computed instantaneous voltage values at the compensated point;
computing at least one voltage fault component each using the recorded computed instantaneous voltage values for at least two of the series of time points;
computing at least one current fault component each using the recorded current value samples for the at least two of the series of time points;
identifying the fault direction in consideration of the at least one computed voltage fault component and the at least one computed current fault component; and
generating a fault direction signal indicating the identified fault direction.
2. The method according to claim 1 , wherein:
the fault direction is identified as forward where signs of the computed voltage fault component and the computed current fault component are opposite to each other; and
the fault direction is identified as reverse where signs of the computed voltage fault component and the computed current fault component are the same.
3. The method according to claim 1 , wherein:
the fault direction is identified as forward where an energy directional element involving the computed voltage fault component and the computed current fault component is negative under a predetermined time period; and
the fault direction is identified as reverse where an energy directional element involving the computed voltage fault component and the computed current fault component is positive under a predetermined time period.
4. The method according to claim 3 , further comprising:
computing a plurality of energy directional elements involving different electrical loops;
wherein the fault direction is identified as forward where sign of sum of the computed energy directional elements is negative under predetermined time period; and
wherein the fault direction is identified as reverse where sign of sum of the computed energy directional elements is positive under predetermined time period.
5. The method according to claim 1 , wherein:
the identified fault direction is related to the fault occurring in an electrical loop of the transmission line; and
the current value samples and the voltage value samples are measurements concerning the electrical loop of the transmission line.
6. The method according to claim 1 , further comprising:
computing a plurality of energy directional elements involving different electrical loops, wherein the generation of the fault direction signal is triggered by an absolute value of the computed energy directional elements being above a predetermined threshold.
7. The method according to claim 1 , wherein:
the computed instantaneous voltage values indicate one of three-phase voltages at the compensated point on the transmission line; and
the current value samples indicate corresponding one of three-phase currents measured at the end of the transmission line.
8. A control system for detecting fault direction of transmission line of an AC power system, the system comprising:
a sampling circuit configured to sample current values and voltage values at one end of the transmission line for a series of time points;
a storage circuit;
a controller operational to:
compute instantaneous voltage values at a compensated point on the transmission line from the current value samples and the voltage value samples based on a time domain lumped parameter differential equation for the transmission line for the series of time points;
cause the current value samples and the computed instantaneous voltage values at the compensated point be recorded in the storage circuit;
compute at least one voltage fault component each using the recorded computed instantaneous voltage values for at least two of the series of time points;
computer at least one current fault component each using the recorded current value samples for the at least two of the series of time points;
identify the fault direction in consideration of the at least one computed voltage fault component and the at least one computed current fault component; and
generate a fault direction signal indicating the identified fault direction.
9. The control system according to claim 8 , wherein:
the fault direction is identified as forward where signs of the computed voltage fault component and the computed current fault component are opposite to each other; and
the fault direction is identified as reverse where signs of the computed voltage fault component and the computed current fault component are the same.
10. The control system according to claim 8 , wherein:
the fault direction is identified as forward where an energy directional element involving the computed voltage fault component and the computed current fault component is negative under a predetermined time period; and
the fault direction is identified as reverse where an energy directional element involving the computed voltage fault component and the computed current fault component is positive under a predetermined time period.
11. The control system according to claim 10 , wherein:
the controller is operational for a plurality of energy directional elements involving different electrical loops;
the fault direction is identified as forward where sign of sum of the computed energy directional elements is negative under predetermined time period; and
the fault direction is identified as reverse where sign of sum of the computed energy directional elements is positive under predetermined time period.
12. The control system according to claim 8 , wherein:
the identified fault direction is related to the fault occurring in an electrical loop of the transmission line; and
the current value samples and the voltage value samples are measurements concerning the electrical loop of the transmission line.
13. The control system according to claim 8 , wherein:
the generation of the fault direction signal is triggered by an absolute value of computed energy directional elements being above a predetermined threshold.
14. The control system according to claim 8 , wherein:
the computed instantaneous voltage values indicate one of three-phase voltages at the compensated point on the transmission line; and
the current value samples indicate corresponding one of three-phase currents measured at the end of the transmission line.
15. The method according to claim 4 , wherein:
the identified fault direction is related to the fault occurring in an electrical loop of the transmission line; and
the current value samples and the voltage value samples are measurements concerning the electrical loop of the transmission line.
16. The method according to claim 2 , wherein:
the identified fault direction is related to the fault occurring in an electrical loop of the transmission line; and
the current value samples and the voltage value samples are measurements concerning the electrical loop of the transmission line.
17. The method according to claim 5 , further including:
computing a plurality of energy directional elements involving different electrical loops, wherein the generation of the fault direction signal is triggered by an absolute value of the computed energy directional elements being above a predetermined threshold.
18. The control system according to claim 11 , wherein:
the identified fault direction is related to the fault occurring in an electrical loop of the transmission line; and
the current value samples and the voltage value samples are measurements concerning the electrical loop of the transmission line.
19. The control system according to claim 9 , wherein:
the controller is operational for a plurality of energy directional elements involving different electrical loops; and
the generation of the fault direction signal is triggered by an absolute value of the energy directional elements being above a predetermined threshold.
20. The control system according to claim 9 , wherein:
the identified fault direction is related to the fault occurring in an electrical loop of the transmission line; and
the current value samples and the voltage value samples are measurements concerning the electrical loop of the transmission line.