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A method of monitoring and controlling the combustion dynamics of a gas turbine engine system is provided. The system includes at least one gas turbine that includes at least one combustor can. The method includes receiving a signal from a gas turbine engine sensor that is indicative of combustion d

A method of monitoring and controlling the combustion dynamics of a gas turbine engine system is provided. The system includes at least one gas turbine that includes at least one combustor can. The method includes receiving a signal from a gas turbine engine sensor that is indicative of combustion dynamics in at least one of the combustor cans, processing the received signal to determine a probability of lean blowout for at least one combustor can, and controlling the gas turbine engine system to facilitate reducing a probability of a lean blowout (LBO) event using the determined probability of lean blowout.

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What is claimed is: 1. A method for monitoring and controlling a combustion system of a gas turbine engine system wherein the system includes at least one gas turbine including at least one combustor can, said method comprising: receiving a signal from a gas turbine engine sensor that is indicative

What is claimed is: 1. A method for monitoring and controlling a combustion system of a gas turbine engine system wherein the system includes at least one gas turbine including at least one combustor can, said method comprising: receiving a signal from a gas turbine engine sensor that is indicative of combustion dynamics in at least one of the combustor cans; processing the received signal to determine a probability of lean blowout for at least one combustor can; and controlling the gas turbine engine system to facilitate reducing a probability of a lean blowout (LBO) event using at least the determined probability of lean blowout and a predetermined lean blowout threshold. 2. A method in accordance with claim 1 wherein said receiving a signal comprises receiving a signal from at least one of a combustion dynamic pressure transducer and a flame sensor. 3. A method in accordance with claim 1 wherein said receiving a signal comprises: filtering the received signal; computing an energy signal of the received signal using at least one of a root mean square (RMS) of the filtered signal and a fast Fourier transform (FFT) of the filtered signal; and computing a probability of lean blowout (LBO) using the computed energy signal. 4. A method in accordance with claim 3 wherein filtering the received signal comprises: applying an anti-aliasing filter to the received signal to facilitate removing high frequency noise from the signal; and applying a band-pass filter to the anti-alias filtered signal. 5. A method in accordance with claim 4 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that corresponds to a fuel/air ratio that is less than a fuel/air ratio during normal engine operation. 6. A method in accordance with claim 5 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that is less than approximately thirty Hz. 7. A method in accordance with claim 6 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that is between approximately five Hz and approximately twenty-five Hz. 8. A method in accordance with claim 7 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that is between approximately ten Hz and approximately twenty Hz. 9. A method in accordance with claim 4 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that corresponds to a fuel/air ratio that is greater than a fuel/air ratio during normal engine operation. 10. A method in accordance with claim 4 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that is between approximately eighty Hz and approximately one hundred twenty Hz. 11. A method in accordance with claim 4 wherein applying a band-pass filter to the anti-alias filtered signal comprises applying a band-pass filter to the anti-alias filtered signal that only passes a portion of the signal that is between approximately one hundred thirty Hz and approximately one hundred sixty Hz. 12. A method in accordance with claim 3 wherein computing an energy signal of the received signal using at least one of a root mean square (RMS) of the filtered signal and a fast Fourier transform (FFT) of the filtered signal comprises computing a root mean square (RMS) of the filtered signal using an N point sliding window algorithm wherein N represents the number of data points used by the algorithm. 13. A method in accordance with claim 3 wherein computing an energy signal of the received signal using at least one of a root mean square (RMS) of the filtered signal and a fast Fourier transform (FFT) of the filtered signal further comprises applying a moving average window low-pass filter to an RMS signal. 14. A method in accordance with claim 3 wherein computing a probability of lean blowout (LBO) comprises applying a cumulative probability function of a normal distribution to the filtered energy signal wherein a mean and a variance of the normal distribution are selectable to achieve a predetermined probability of lean blowout for each amplitude. 15. A method in accordance with claim 3 wherein computing a probability of lean blowout (LBO) comprises applying a wavelet transform to the filtered energy signal in a predetermined frequency range. 16. A method in accordance with claim 1 wherein processing the received signal to determine a probability of lean blowout for at least one combustor can comprises determining a relative change in amplitude between a plurality of tones of the combustion dynamics. 17. A method in accordance with claim 16 wherein determining a relative change in amplitude between a plurality of tones of the combustion dynamics comprises determining a relative change in amplitude between a lean blowout tone and at least one combustion tone. 18. A method in accordance with claim 16 wherein determining a relative change in amplitude between a plurality of tones of the combustion dynamics comprises determining a relative change in amplitude between a lean blowout tone and at least one of a low F/A tone and a high F/A tone of the combustion dynamics. 19. A method in accordance with claim 16 wherein determining a relative change in amplitude between a plurality of tones of the combustion dynamics comprises determining a relative change in an RMS amplitude between a lean blowout tone, a low F/A tone, and a high F/A tone of the combustion dynamics. 20. A method in accordance with claim 19 wherein determining a relative change in an RMS amplitude between a lean blowout tone, a low F/A tone, and a high F/A tone of the combustion dynamics comprises determining a relative change in RMS amplitude between a lean blowout tone RMS amplitude, a low F/A tone RMS amplitude, and a high F/A tone RMS amplitude of the combustion dynamics using: α represents the relative change between a lean blowout tone, a low F/A tone, and a high F/A tone; RMSLBO represents the RMS amplitude of the LBO tone; RMSLOW F/A represents the RMS amplitude of the low F/A tone; and RMSHIGH F/A represents the RMS amplitude of the high F/A tone. 21. A method in accordance with claim 1 wherein processing the received signal to determine a probability of lean blowout for at least one combustor can comprises determining a frequency shift of at least one of a high F/A tone and a low F/A tone. 22. A method in accordance with claim 21 wherein determining a frequency shift of a high F/A tone of the combustion dynamics comprises determining a frequency shift of a high F/A tone of the combustion dynamics using wherein ƒU represents an upper bound of the high F/A tone frequency, ƒL represents a lower bound of the high F/A tone frequency, and ƒC represents an instantaneous center frequency of the high F/A tone. 23. A method in accordance with claim 1 wherein processing the received signal to determine a probability of lean blowout for each of at least one combustor can comprises: combining a probability of LBO with at least one of a relative change in amplitude between a plurality of tones of the combustion dynamics and a frequency shift of a high F/A tone of the combustion dynamics; and normalizing the combination using a sigmoid function. 24. A method in accordance with claim 1 wherein processing the received signal to determine a probability of lean blowout for at least one combustor can comprises: determining a maximum instantaneous probability of lean blowout for each of the at least one combustor cans from each normalized combination; determining a gas turbine LBO probability from the determined maximum instantaneous probability of lean blowout for each of the at least one combustor cans; and controlling the gas turbine engine to facilitate initiation of corrective action to avoid a LBO. 25. A method in accordance with claim 1 wherein controlling the gas turbine engine system comprises at least one of changing a bulk fuel flow rate to the engine, changing an air flow rate to the engine, changing an air flow rate to at least one combustor can, changing an inlet air temperature of at least one combustor can, and modifying a fuel split to each respective at least one combustor can. 26. A method for monitoring and controlling a combustion system of a gas turbine engine system, said system comprising at least one gas turbine comprising at least one combustor can, said method comprising: receiving a gas turbine engine signal indicative of combustion dynamics in at least one of the combustor cans from at least one of a combustion dynamic pressure transducer and a flame sensor; filtering the received signal to pass only a portion of the signal that is between approximately ten Hz and approximately twenty Hz; computing a probability of lean blowout (LBO) using the filtered signal; comparing the probability of LBO to a predetermined lean blowout threshold; and controlling the gas turbine engine system to facilitate reducing a probability of a lean blowout event using the comparison. 27. A method in accordance with claim 26 wherein filtering the received signal comprises at least one of applying an anti-aliasing filter to facilitate preventing a high frequency noise component of the signal from being folded over into the lower frequency region of interest of the signal and applying a band-pass filter to the signal that passes only a portion of the signal that is between approximately ten Hz and approximately twenty Hz. 28. A method in accordance with claim 26 wherein computing a probability of lean blowout (LBO) comprises normalizing a filtered RMS signal using a probability function. 29. A method in accordance with claim 26 wherein computing a probability of lean blowout (LBO) comprises applying a cumulative probability function of a normal distribution to a filtered RMS signal wherein a mean and a variance of the normal distribution are selectable to achieve a predetermined probability of lean blowout for each amplitude. 30. A method in accordance with claim 26 wherein computing a probability of lean blowout (LBO) comprises applying a wavelet transform to a filtered RMS signal in a predetermined frequency range. 31. A method in accordance with claim 30 wherein applying a wavelet transform to the filtered RMS signal in a predetermined frequency range comprises: identifying different tones using the wavelet transform; monitoring a coefficient of the wavelet transform; and identifying a pseudo energy signal to detect LBO. 32. A method in accordance with claim 26 wherein controlling the gas turbine engine system comprises at least one of increasing bulk fuel flow to the engine, decreasing air flow to the engine, decreasing air flow to at least one combustor can, increasing the inlet air temperature of at least one combustor can, and modifying a the fuel split to a plurality of the at least one combustor can.