Research Papers: Gas Turbines: Controls, Diagnostics, and Instrumentation

Application of Pseudo-Poincaré Maps to Assess Gas Turbine System Health

[+] Author and Article Information
Hany Bassily

Siemens Energy, Orlando, FL 32826

Mohammed F. Daqaq

Department of Mechanical Engineering,  Clemson University, Clemson, SC 29634

John Wagner1

Department of Mechanical Engineering,  Clemson University, Clemson, SC 29634jwagner@clemson.edu


Corresponding author.

J. Eng. Gas Turbines Power 134(5), 051601 (Feb 15, 2012) (8 pages) doi:10.1115/1.4005212 History: Received February 16, 2011; Revised August 19, 2011; Published February 15, 2012; Online February 15, 2012

The transition between two operational modes in a dynamic system often occurs under strict measures such that repeatability is more a target than a metric for performance evaluations. The concept of Poincaré maps may be applied to health monitoring systems. In this paper, a diagnosis strategy based on Poincaré maps will be presented to evaluate dynamic systems’ behavior with application to power generating gas turbines based on the repeatability of the transition trajectories. Using this approach, extensive operating data for three 85 MW simple cycle power generating gas turbines were evaluated to assess and analyze their performance. The proposed strategy was capable of isolating failed starts; automatic unloads and load rejection events as major events during the test period. Results and conclusions drawn in this study regarding the health condition of the rotating equipment demonstrate the opportunity for system monitoring.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

A Poincaré map generated using a double-sided Poincaré section (plane) which intersects a hypothetical single-period periodic orbit at the same locations

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Figure 2

(a) Schematic time history of a cyclic nonperiodic system and (b) the application of state vector norm as intersection criterion for cyclic nonperiodic systems with monotonic state transition

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Figure 3

Principle of the application of a multiple section suite to evaluate the transition trajectories behavior during both (a) fault-free, and (b) faulty conditions

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Figure 4

Demonstration of the intersection position vector angle invariance with the plane normal vector for uniform norms

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Figure 5

State flow intersection point coordinates calculation and Poincaré section coordinate system for a simplified 3-dimensional case

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Figure 6

Gas turbine system with major inputs and output elements

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Figure 7

Computation algorithm for the proposed method

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Figure 8

Location of the Poincaré Section suite with respect to the Euclidian norm of the normalized states of (a) Unit 3, (b) Unit 4, (c) Unit 5, and (d) Units 3–5

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Figure 9

Total deviation in (a) β and (b) η* for Unit 3 with three major events (I–III)

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Figure 10

Total deviation in (a) β and (b) η* for Unit 4 with three major events (IV–VI)

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Figure 11

Total deviation in (a) β and (b) η* for Unit 5 with abnormal events




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