Systems and methods to control power plant operation via control of turbine run-up and acceleration

1. A method of controlling a turbine, the method comprising:

receiving an operating pressure of a condenser associated with a power plant;

receiving a rotor speed of a turbine associated with the power plant;

receiving a last stage blade (LSB) protection limit for the turbine;

based at least in part on the operating pressure of the condenser, the rotor speed of the turbine, and the LSB protection limit, initiating, via a control system, a run-up of the turbine;

receiving a rotor speed gradient of the turbine;

receiving one or more critical speed ranges associated with the rotor speed of the turbine; and

based at least in part on the operating pressure of the condenser, the rotor speed, the rotor speed gradient, and the one or more critical speed ranges, regulating, via the control system, at least one of: the rotor speed of the turbine and the rotor speed gradient of the turbine.

2. The method of claim 1 , wherein the LSB protection limit is a function of the operating pressure of the condenser and the rotor speed of the turbine.

3. The method of claim 1 , wherein the LSB protection limit separates an allowed region of operation from a forbidden region of operation based at least in part on the operating pressure of the condenser and the rotor speed of the turbine.

4. The method of claim 3 , wherein initiating, via the control system, the run-up of the turbine comprises:

correlating the operating pressure of the condenser to the LSB protection limit; and

if the operating pressure of the condenser is in the allowed region of operation corresponding to the LSB protection limit, initiating the run-up of the turbine.

5. The method of claim 1 , wherein the operating pressure of the condenser is based at least in part on a condenser evacuation curve, wherein the condenser evacuation curve is a function of the operating pressure of the condenser and a condenser evacuation time.

6. The method of claim 5 , wherein regulating, via the control system, at least one of: the rotor speed of the turbine and the rotor speed gradient of the turbine comprises:

correlating the rotor speed of the turbine to the operating pressure of the condenser based at least in part on the LSB protection limit;

comparing the rotor speed of the turbine to a lower speed limit of a critical speed range of the one or more critical speed ranges; and

if the rotor speed of the turbine is equal to or higher than the lower speed limit of the critical speed range and the operating pressure of the condenser corresponding to the condenser evacuation curve is higher than a condenser pressure corresponding to a higher speed limit of the critical speed range, implementing at least one of: reducing the rotor speed of the turbine and reducing the rotor speed gradient of the turbine.

7. The method of claim 1 , wherein the one or more critical speed ranges are bound by a lower speed limit and a higher speed limit.

8. A system comprising:

a power plant;

a turbine associated with the power plant;

a controller in communication with the turbine, and including a memory with computer-readable instructions configured to:

receive an operating pressure of a condenser associated with the power plant;

receive a rotor speed of the turbine;

receive a last stage blade (LSB) protection limit for the turbine;

based at least in part on the operating pressure of the condenser, the rotor speed of the turbine, and the LSB protection limit, initiate a run-up of the turbine;

receive a rotor speed gradient of the turbine;

receive one or more critical speed ranges associated with the rotor speed of the turbine; and

based at least in part on the operating pressure of the condenser, the rotor speed, the rotor speed gradient, and the one or more critical speed ranges, regulate at least one of: the rotor speed of the turbine and the rotor speed gradient of the turbine.

9. The system of claim 8 , wherein the LSB protection limit is a function of the operating pressure of the condenser and the rotor speed of the turbine.

10. The system of claim 8 , wherein the LSB protection limit separates an allowed region of operation from a forbidden region of operation based at least in part on the operating pressure of the condenser and the rotor speed of the turbine.

11. The system of claim 10 , wherein the computer-readable instructions configured to initiate the run-up of the turbine are further configured to:

correlate the operating pressure of the condenser to the LSB protection limit; and

if the operating pressure of the condenser is in the allowed region of operation corresponding to the LSB protection limit, initiate the run-up of the turbine.

12. The system of claim 8 , wherein the operating pressure of the condenser is based at least in part on a condenser evacuation curve, wherein the condenser evacuation curve is a function of the operating pressure of the condenser and a condenser evacuation time.

13. The system of claim 12 , wherein the computer-readable instructions configured to regulate at least one of: the rotor speed of the turbine and the rotor speed gradient of the turbine are further configured to:

correlate the rotor speed of the turbine to the operating pressure of the condenser based at least in part on the LSB protection limit;

compare the rotor speed of the turbine to a lower speed limit of a critical speed range of the one or more critical speed ranges; and

if the rotor speed of the turbine is equal to or higher than the lower speed limit and the operating pressure of the condenser corresponding to the condenser evacuation curve is higher than a condenser pressure corresponding to a higher speed limit of the critical speed range, implement at least one of: reduce the rotor speed of the turbine and reduce the rotor speed gradient of the turbine.

14. The system of claim 8 , wherein the one or more critical speed ranges are bound by a lower speed limit and a higher speed limit.

15. A non-transitory computer-readable medium having instructions executable by a computer for performing operations comprising:

receiving an operating pressure of a condenser associated with a power plant;

receiving a rotor speed of a turbine associated with the power plant;

receiving a last stage blade (LSB) protection limit for the turbine;

based at least in part on the operating pressure of the condenser, the rotor speed of the turbine, and the LSB protection limit, initiating, via a control system, a run-up of the turbine;

receiving a rotor speed gradient of the turbine;

receiving one or more critical speed ranges associated with the rotor speed of the turbine; and

based at least in part on the operating pressure of the condenser, the rotor speed, the rotor speed gradient, and the one or more critical speed ranges, regulating, via the control system, at least one of: the rotor speed of the turbine and the rotor speed gradient of the turbine.

16. The computer-readable medium of claim 15 , wherein the LSB protection limit separates an allowed region of operation from a forbidden region of operation based at least in part on the operating pressure of the condenser and the rotor speed of the turbine.

17. The computer-readable medium of claim 16 , wherein initiating, via the control system, the run-up of the turbine comprises:

correlating the operating pressure of the condenser to the LSB protection limit; and

if the operating pressure of the condenser is in the allowed region of operation corresponding to the LSB protection limit, initiating the run-up of the turbine.

18. The computer-readable medium of claim 15 , wherein the operating pressure of the condenser is based at least in part on a condenser evacuation curve, wherein the condenser evacuation curve is a function of the operating pressure of the condenser and a condenser evacuation time.

19. The computer-readable medium of claim 18 , wherein regulating, via the control system, at least one of: the rotor speed of the turbine and the rotor speed gradient of the turbine comprises:

correlating the rotor speed of the turbine to the operating pressure of the condenser based at least in part on the LSB protection limit;

comparing the rotor speed of the turbine to a lower speed limit of a critical speed range of the one or more critical speed ranges; and

if the rotor speed of the turbine is equal to or higher than the lower speed limit and the operating pressure of the condenser corresponding to the condenser evacuation curve is higher than a condenser pressure corresponding to a higher speed limit of the critical speed range, implementing at least one of: reducing the rotor speed of the turbine and reducing the rotor speed gradient of the turbine.

20. The computer-readable medium of claim 15 , wherein the one or more critical speed ranges are bound by a lower speed limit and a higher speed limit.