Time delay compensation in power system control

1. A method for compensation of a time delay in remote feedback signals in power system control, the method comprising:

determining a time delay at a frequency ω k of the remote feedback signals, where k represents an oscillatory mode characterised by parameters of a transfer function of the power system;

converting the time delay into a phase shift;

calculating four compensation angles from the phase shift, the compensation angles constituting the angles of the transfer function;

constructing a Nyquist diagram of each compensation angle;

determining a preferred compensation angle based on analysis of the four Nyquist diagrams; and

applying the preferred compensation angle to shift the oscillatory mode k by compensating the time delay in the remote feedback signals.

2. The method according to claim 1 , comprising:

constructing a Bode diagram of at least two of the four compensation angles; and

determining a preferred compensation angle based on analysis of the Bode diagrams.

3. The method according to claim 2 , wherein the determining of the preferred compensation angle based on analysis of Bode diagrams includes evaluating decay of gain at higher frequencies.

4. The method according to claim 2 , comprising:

constructing a complex frequency domain diagram of at least two of the four compensation angles; and

determining a preferred compensation angle based on analysis of the complex frequency domain diagram.

5. The method according to claim 4 , wherein the determining of the preferred compensation angle based on analysis of the complex frequency domain diagram includes evaluating eigenvalue shift with respect to other system eigenvalues.

6. The method according to claim 1 , comprising:

constructing a complex frequency domain diagram of at least two of the four compensation angles; and

determining a preferred compensation angle based on analysis of the complex frequency domain diagram.

7. The method according to claim 6 , wherein the determining of the preferred compensation angle based on analysis of the complex frequency domain diagram includes evaluating eigenvalue shift with respect to other system eigenvalues.

8. The method according to claim 1 , wherein the step of converting the time delay into a phase shift occurs at the dominant frequency.

9. The method according to claim 1 , wherein the four compensation angles are a lead compensation to +1, a lag compensation to −1, a lead compensation to −1, and a lag compensation to +1 of the phase shift signal.

10. A controller for a power system, the controller comprising a processor configured to perform the method according to claim 1 for compensation of a time delay in remote feedback signals.

11. A non-transitory computer-readable recording medium having a computer program recorded thereon that causes a processor of a digital computer to compensate for a time delay in remote feedback signals in power system control, the computer program causing the processor of the computer to execute the method according to claim 1 .

12. An electric power control system, the system comprising:

at least one phasor measurement unit equipped with transceiving means;

a controller equipped with transceiving means; and

a global clock for synchronizing the controller with the at least one phasor measurement unit utilizing the transceiving means,

wherein the global clock is arranged such that the controller is configured to determine a time delay of the system on a continuous basis.

13. The electric power control system according to claim 12 , wherein the controller is configured to estimate time delay, and utilize the estimated time delay for phase compensation.

14. The electric power control system according to claim 13 , wherein the controller is configured to have at least one parameter of the controller adapted on-line based on the estimated time delay.

15. The electric power control system according to claim 12 , wherein the controller is configured to determine a running mean value of the time delay, and utilize the determined running mean value for phase compensation.

16. The electric power control system according to claim 12 , wherein the at least one PMU is configured to support a remote control loop which is inactivated if the time delay is too large for purpose of the control.

17. A controller for compensating a time delay in remote feedback signals in a power system, the controller having a transfer function and comprising:

means for receiving and timestamping phasors arriving from a phasor data concentrator, wherein the phasors represent an oscillatory mode characterized by parameters of the transfer function of the power system;

means for estimating an average time delay and age of the received phasors; and

a feedback power oscillation damping loop for receiving inputs of the estimated average time delay and the timestamped phasors, and outputting an appropriate compensating control signal.