Method and apparatus for generalized performance evaluation of equipment using achievable performance derived from statistics and real-time data
View Patent ↗A statistical performance evaluation system for a thermodynamic device and process uses the achievable performance derived from statistics and real-time data for the device or process to evaluate the current performance of the device or process, and to adjust the operations of the device or process accordingly, or provide feedback to an operator or other monitoring system for taking corrective actions to obtain performance approaching the optimum achievable performance. The achievable performance of the device or process is derived from data collected during operational periods when the best achievable performance is anticipated, such as after maintenance is performed, and supersedes the ideal or design performance specified by the manufacturer, which typically does not represent the actual operating conditions in the field, as the basis for evaluating the real-time performance of the device. The statistical performance evaluation system may set desired upper and lower limits for performance parameters, and compare desired limits to the actual performance parameter values to determine the readjustment to be made to the operation of the device or process.
1. A method of controlling a thermodynamic process, the method comprising:
operating the process according to a first operational state for a first period of time;
determining performance parameter values of the process during the first period of time;
determining a performance parameter statistical value from the performance parameter values; and
evaluating the performance parameter statistical value against one or more target values to determine whether a change in an operating parameter of the first operational state is necessary to improve performance of the thermodynamic process.
2. A method of claim 1 , wherein operating the process further comprises operating a plurality of thermodynamic devices within the process.
3. A method of claim 1 , wherein determining the performance parameter statistical value further comprises determining a plurality of performance parameter statistical values.
4. A method of claim 3 , wherein determining the plurality of performance parameter statistical values includes determining at least two or more of: (1) a performance parameter mean; (2) a performance parameter standard deviation; (3) a performance parameter lower limit; and (4) a performance parameter upper limit.
5. A method of claim 1 , wherein determining a performance parameter statistical value includes determining a performance parameter lower limit equal to a performance parameter mean less a multiple of a performance parameter standard deviation and determining a performance parameter upper limit equal to the performance parameter mean plus the multiple of the performance parameter standard deviation.
6. A method of claim 5 , wherein evaluating the performance parameter statistical value comprises:
comparing the performance parameter upper limit with a target upper control limit; and
comparing the performance parameter lower limit h a target lower control limit.
7. A method of claim 6 , wherein the change in the operating parameter of the first operational state is a function of a difference between the performance parameter lower limit and the target lower control limit, or a difference between the performance parameter upper limit and the target upper control limit.
8. A method of claim 6 , further comprising evaluating the effectiveness of the change in the operating parameter on the unit heat rate of the process to adjust the change in the operating parameter.
9. A method of claim 8 , wherein the effectiveness of the change in the operating parameter of the first operational state is evaluated by measuring a shift in the distribution of the performance parameter values.
10. A method of claim 1 , wherein determining the performance parameter statistical value includes determining a performance parameter change mean value.
11. A method of claim 1 , wherein the process is one of: (1) a water wall absorption section; (2) a superheat section; (3) a reheat absorption section; (4) an economizer; or (5) an air heater.
12. A method of claim 1 , further comprising analyzing a distribution of the performance parameter values to determine if the distribution of the performance parameter values conform to normal distribution.
13. A method of claim 1 , wherein operating the process further comprises operating a single thermodynamic device within the process.
14. A method of claim 1 , wherein evaluating the performance parameter statistical value comprises comparing the performance parameter statistical value to an achievable performance measure for the performance parameter.
15. A method of claim 14 , comprising:
collecting operational data during the operation of the process during a second period of time during which the process operates at an achievable performance level for the process;
calculating values of performance parameters from the operational data collected during the second period of time;
performing statistical analysis of the operational data collected for the performance parameters during the second period of time;
deriving correction functions for the performance parameters from the operational data collected for the performance parameters during the second period of time; and
determining the achievable performance measure based on the statistical analysis of the operational data and the correction functions derived from the operational data.
16. A method of claim 15 , wherein the second period of time occurs at a different time than the first period of time.
17. A method of claim 15 , wherein the second period of time occurs during the first period of time.
18. A method of determining an achievable performance measure for a thermodynamic process and controlling the thermodynamic process, comprising:
operating the process during an evaluation period of time in which the process operates at a maximum achievable performance level;
collecting operational data during the operation of the process during the evaluation period of time;
calculating values of performance parameters of the process from the operational data collected during the evaluation period of time;
performing statistical analysis of the operational data collected for the performance parameters during the evaluation period of time;
deriving correction functions for the performance parameters from the operational data collected for the performance parameters during the evaluation period of time;
substituting the derived correction functions for manufacturer-supplied correction curves or previously derived correction functions; and
determining an achievable performance measure, the value of which most closely correlates with the maximum achievable performance level, based on the statistical analysis of the operational data and the correction functions derived from the operational data.
19. A method of claim 18 , comprising providing feedback to an operational monitor regarding the achievable performance measure.
20. A method of claims 18 , comprising:
operating the process according to a first operational state for an operational period of time;
determining performance parameter values of the process during the operational period of time;
determining a performance parameter statistical value from the performance parameter values; and
comparing the performance parameter statistical value the achievable performance measure to determine a change in an operating parameter of the first operational state.
21. A method of claim 20 , wherein the operational period of time occurs at a different time than the evaluation period of time.
22. A method of claim 20 , wherein the evaluation period of time occurs during the operational period of time.
23. A method of claim 20 , wherein determining the performance parameter statistical value further comprises determining a plurality of performance parameter statistical values.
24. A method of claim 20 , wherein determining the plurality of performance parameter statistical values includes determining at least two or more of: (1) a performance parameter mean; (2) a performance parameter standard deviation; (3) a performance parameter lower limit; and (4) a performance parameter upper limit.
25. A method of claim 20 , wherein determining a performance parameter statistical value includes determining a performance parameter lower limit equal to a performance parameter mean less a multiple of a performance parameter standard deviation and determining a performance parameter upper limit equal to the performance parameter mean plus the multiple of the performance parameter standard deviation.
26. A method of claim 25 , wherein evaluating the performance parameter statistical value comprises:
comparing the performance parameter upper limit with a target upper control limit of the achievable performance measure; and
comparing the performance parameter lower limit with a target lower control limit of the achievable performance measure.
27. A method of claim 26 , wherein the change in the operating parameter of the first operational state is a function of a difference between the performance parameter lower limit and the target lower control limit, or a difference between the performance parameter upper limit and the target upper control limit.
28. A method of claim 20 , wherein the effectiveness of the change in the operating parameter of the first operational state is evaluated by measuring a shift in the distribution of the performance parameter values.
29. A method of claim 20 , further comprising analyzing a distribution of the performance parameter values to determine if the distribution of the performance parameter values conform to normal distribution.
30. A method of claim 18 , wherein operating the process further comprises operating a plurality of thermodynamic devices within the process.
31. A method of claim 18 , wherein operating, the process further comprises operating a single thermodynamic device within the process.