Dynamic mode decomposition systems and methods to detect power quality events
Systems and methods for new systems and methods for detecting power quality disturbances, such as faults. The approach is based on the dynamic mode decomposition (DMD)—a data-driven method to estimate linear dynamics whose eigenvalues and eigenvectors approximate those of the Koopman operator. The approach uses the real part of the main eigenvalue estimated by the DMD as the key indicator that a power quality event has occurred. The disclosed systems and methods can be used to detect events using current and voltage signals to distinguish different faults. Because the proposed method is window-based, the effect that the window size has on the performance of the approach is analyzed.
1. A method for detecting a power quality disturbance, comprising:
monitoring a power signal;
receiving a new data point from a monitored signal;
computing a dynamic mode decomposition of a window of the new data point where the new data point is included in the window and the oldest data point is discarded thereby keeping the window size constant;
obtaining a real-part of eigenvalues from the dynamic mode decomposition;
comparing values of the real-part against a pre-specified threshold and if they meet a set of predetermined criteria then determine an existence of a power quality disturbance and location; and
indicating to a user the power quality disturbance; and
the user taking an action comprising isolating the power quality disturbance location.
2. The method of claim 1 , wherein the power quality disturbance is a fault.
3. The method of claim 1 , wherein the data point is a voltage.
4. The method of claim 3 , wherein the set of signals is a three-phase signal.
5. The method of claim 1 , wherein the data point is a current.
6. The method of claim 1 , wherein the monitored signal is a set of signals.
7. The method of claim 6 , wherein the voltages and currents are monitored simultaneously.
8. The method of claim 1 , wherein the power signal is a power transmission in an electrical grid.
9. The method of claim 1 , further comprising:
dispatching generators and replacing faulty equipment.
10. A system for detecting a power quality disturbance, comprising:
a monitoring circuit electrically connected to an electrical power;
a transmission that receives data points from a time period of data point windows from the electrical power transmission;
a processor connected to the monitoring circuit that receives the data points, wherein the processor executes commands stored on a non-transitory medium that performs the following steps:
computing the dynamic mode decomposition of a window of the new data point where the new data point is included in the window and the oldest data point is discarded thereby keeping the window size constant;
obtaining a real-part of eigenvalues from the dynamic mode decomposition;
comparing values of the real-part against a pre-specified threshold and if they meet a set of predetermined criteria then determine an existence of a power quality disturbance at a location; and
indicating to a user the power quality disturbance; and
taking an action comprising isolating the power quality disturbance.
11. The system of claim 10 , wherein the power quality disturbance is a fault.
12. The system of claim 10 , wherein the data point is a voltage.
13. The system of claim 12 , wherein the set of signals is a three-phase signal.
14. The system of claim 10 , wherein the data point is a current.
15. The system of claim 10 , wherein the monitored signal is a set of signals.
16. The system of claim 15 , wherein the data point is voltages and currents that are monitored simultaneously.
17. The system of claim 10 , wherein the power signal is a power transmission in an electrical grid.
18. The system of claim 10 , further comprising:
a relay or actuator that performs an opening action to disconnect the fault.
19. The system of claim 10 , further comprising:
dispatching generators and replacing faulty equipment.