Nonlinear time series concepts may be applied to assess the health condition of dynamic systems for which their operating data is neither Gaussian nor periodic. The principles of phase space geometry suit the dynamic behavior exhibited during transient and non-stationary operating modes. In this paper, two strategies are presented to evaluate the dynamic behavior of power generating natural gas turbines based on the phase space properties. Recurrence analysis allows methods to be developed that are suitable for many dynamic systems. The evaluation of extensive operating data for a simple cycle power generating gas turbine was performed to assess the health condition, and to evaluate the performance of equipment clusters in a power generation plant. The analytical results obtained from this implementation, along with the main conclusions drawn regarding the health condition of the machines, demonstrates the opportunity for system diagnostics.

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