System and method to model power output of an engine

1. A system, comprising:

an engine configured to generate power to drive a load;

a power augmentation system configured to augment a power output of the engine when the power augmentation system is activated; and

a controller operatively coupled to the power augmentation system, wherein the controller is configured to:

estimate a potential value of a first operating parameter of the engine caused by activation of the power augmentation system by inputting a measured value of the first operating parameter of the engine in a power augmentation model for the power augmentation system;

estimate a potential change in the power output of the engine caused by activation of the power augmentation system by inputting the measured value and the potential value of the first operating parameter in an engine performance model for the engine that predicts power output of the engine; and

activate the power augmentation system if estimated power output is greater than a desired power output or increase in the power output, wherein the engine is configured to receive an oxidant and to combust a mixture of fuel and the oxidant to generate power to drive the load, the first operating parameter comprises a temperature of the oxidant, and the power augmentation system is configured to increase the power output of the engine by reducing the temperature of the oxidant, and wherein the power augmentation system comprises an evaporative cooler, and the controller is configured to input the measured value of the temperature of the oxidant and a measured value of a relative humidity of the oxidant in the power augmentation model to estimate the potential value of the temperature of the oxidant caused by activation of the evaporative cooler.

2. The system of claim 1 , wherein the controller is configured to input a performance metric for the engine in the engine performance model to estimate the potential change in the power output, wherein the performance metric is indicative of degradation of the engine.

3. The system of claim 2 , wherein the controller is configured to:

input the measured value of the first operating parameter in the engine performance model to generate an estimated value of a second operating parameter of the engine; and

determine the performance metric based on a difference between the estimated value of the second operating parameter of the engine and a measured value of the second operating parameter of the engine.

4. The system of claim 3 , wherein the second operating parameter comprises the power output of the engine.

5. The system of claim 1 , wherein the controller is configured to:

input the measured value of the first operating parameter in the engine performance model to generate a first estimate of the power output of the engine when the power augmentation system is deactivated;

input the potential value of the first operating parameter in the engine performance model to generate a second estimate of the power output of the engine when the power augmentation system is activated; and

estimate the potential change in the power output of the engine based on a difference between the first estimate and the second estimate.

6. The system of claim 1 , wherein the first operating parameter comprises ambient temperature, ambient pressure, ambient relative humidity, or a combination thereof.

7. The system of claim 1 , wherein the power augmentation system comprises an evaporative cooler, a chiller, a water injection system, or a combination thereof.

8. The system of claim 1 , wherein the power augmentation model comprises a saturation efficiency model.

9. The system of claim 1 , wherein the engine is configured to receive an oxidant and to combust a mixture of fuel and the oxidant to generate power to drive the load, the first operating parameter comprises a pressure of the oxidant, and the power augmentation system is configured to increase the power output of the engine by increasing the pressure of the oxidant.

10. The system of claim 9 , wherein the power augmentation system comprises a compressor.

11. The system of claim 1 , wherein the controller is configured to select the power augmentation model from a plurality of power augmentation models.

12. A system, comprising:

a controller operatively coupled to a power augmentation system configured to increase a power output of an engine, wherein the controller is configured to:

measure a plurality of operating parameters of the engine using a plurality of sensors;

estimate a potential value of a first operating parameter of the plurality of operating parameters caused by activation of the power augmentation system by inputting a measured value of the first operating parameter of the plurality of operating parameters in a power augmentation model for the power augmentation system;

estimate a potential increase in the power output of the engine caused by activation of the power augmentation system by inputting the measured value and the potential value of the first operating parameter of the plurality of operating parameters in an engine performance model for the engine that predicts power output of the engine; and

activate the power augmentation system if the potential increase in the power output is greater than a desired power output or increase in the power output, wherein the first operating parameter comprises a temperature of an oxidant routed to the engine, the power augmentation system comprises an evaporative cooler configured to reduce the temperature of the oxidant, the controller is configured to select the power augmentation model from at least two power augmentation models, the at least two power augmentation models comprises a temperature reduction model configured to estimate a potential value of the temperature of the oxidant after passing through the evaporative cooler based on a measured initial value of the temperature of the oxidant, and the at least two power augmentation models comprises a saturation efficiency model configured to estimate the potential value of the temperature of the oxidant after passing through the evaporative cooler based on the measured initial value of the temperature of the oxidant and a measured initial value of a relative humidity of the oxidant.

13. The system of claim 12 , wherein plurality of operating parameters of the engine comprises a plurality of input operating parameters and a plurality of output operating parameters, and the controller is configured to:

input the measured value of the first operating parameter and measured values of the plurality of input operating parameters in the engine performance model to generate a first estimate of the power output of the engine when the power augmentation system is deactivated;

input the potential value of the first operating parameter and the measured values of the plurality of input operating parameters in the engine performance model to generate a second estimate of the power output of the engine when the power augmentation system is activated; and

estimate the potential change in the power output of the engine based on a difference between the first estimate and the second estimate.

14. The system of claim 13 , wherein the controller is configured to:

input the measured values of the plurality of input operating parameters in the engine performance model to generate estimated values of the plurality of output parameters;

determine at least one performance metric based on differences between the measured values of the plurality of input operating parameters and corresponding estimated values of the plurality of output operating parameters;

input the at least one performance metric in the engine performance model to generate the first estimate and the second estimate of the power output of the engine.

15. The system of claim 14 , wherein the plurality of input operating parameters comprises ambient temperature, ambient pressure, ambient relative humidity, an amount of fuel flowing to a combustor of the engine, a rotational speed of a turbine of the engine, or a combination thereof, and the plurality of output operating parameters comprises the power output, an exhaust gas temperature, a compressor discharge pressure, a compressor discharge pressure, or a combination thereof.

16. A method, comprising:

measuring, via a controller, a plurality of operating parameters of an engine;

selecting, via the controller, a power augmentation model from two or more power augmentation models for a power augmentation system configured to increase a power output of the engine;

estimating, via the controller, a potential value of a first operating parameter of the plurality of operating parameters caused by activation of the power augmentation system by inputting a measured value of the first operating parameter of the plurality of operating parameters in the power augmentation model;

estimating, via the controller, a potential increase in the power output of the engine caused by activation of the power augmentation system by inputting the measured value and the potential value of the first operating parameter of the plurality of operating parameters in an engine performance model for the engine that predicts power output of the engine; and

activate the power augmentation system if the potential increase in the power output is greater than a desired power output or increase in the power output, wherein the engine is configured to receive an oxidant and to combust a mixture of fuel and the oxidant to generate the power to drive a load, the first operating parameter comprises a temperature of the oxidant, and the power augmentation system is configured to increase the power output of the engine by reducing a temperature of the oxidant, and wherein the power augmentation system comprises an evaporative cooler, and the controller is configured to input the measured value of the temperature of the oxidant and a measured value of a relative humidity of the oxidant in the power augmentation model to estimate the potential value of the temperature of the oxidant caused by activation of the evaporative cooler.

17. The method of claim 16 , wherein the plurality of operating parameters comprises a plurality of input parameters and a plurality of output parameters, and the method comprises:

inputting, via the controller, measured values of the plurality of input operating parameters in the engine performance model to generate estimated values of the plurality of output parameters;

determining, via the controller, at least one performance metric based on differences between the measured values of the plurality of input operating parameters and corresponding estimated values of the plurality of output operating parameters;

inputting, via the controller, the measured value of the first operating parameter, the measured values of the plurality of input operating parameters, and the at least one performance metric in the engine performance model to generate a first estimate of the power output of the engine when the power augmentation system is deactivated;

inputting, via the controller, the potential value of the first operating parameter, the measured values of the plurality of input operating parameters, and the at least one performance metric in the engine performance model to generate a second estimate of the power output of the engine when the power augmentation system is activated; and

estimating, via the controller, the potential change in the power output of the engine based on a difference between the first estimate and the second estimate.