Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor

This paper addresses dynamic data-driven prediction of lean blowout (LBO) phenomena in confined combustion processes, which are prevalent in many physical applications (e.g., land-based and aircraft gas-turbine engines). The underlying concept is built upon pattern classification and is validated fo...

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Main Authors: Soumalya Sarkar, Asok Ray, Achintya Mukhopadhyay, Swarnendu Sen
Format: Article
Language:English
Published: SAGE Publishing 2015-09-01
Series:International Journal of Spray and Combustion Dynamics
Online Access:https://doi.org/10.1260/1756-8277.7.3.209
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spelling doaj-a4097f77a24d40bab07ce83839f24a882020-11-25T03:03:22ZengSAGE PublishingInternational Journal of Spray and Combustion Dynamics1756-82771756-82852015-09-01710.1260/1756-8277.7.3.20910.1260_1756-8277.7.3.209Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized CombustorSoumalya Sarkar0Asok Ray1Achintya Mukhopadhyay2Swarnendu Sen3 Department of Mechanical & Nuclear Engineering, Pennsylvania State University, University Park, PA 16802, USA Department of Mechanical & Nuclear Engineering, Pennsylvania State University, University Park, PA 16802, USA Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, India Department of Mechanical Engineering, Jadavpur University, Kolkata 700 032, IndiaThis paper addresses dynamic data-driven prediction of lean blowout (LBO) phenomena in confined combustion processes, which are prevalent in many physical applications (e.g., land-based and aircraft gas-turbine engines). The underlying concept is built upon pattern classification and is validated for LBO prediction with time series of chemiluminescence sensor data from a laboratory-scale swirl-stabilized dump combustor. The proposed method of LBO prediction makes use of the theory of symbolic dynamics, where (finite-length) time series data are partitioned to produce symbol strings that, in turn, generate a special class of probabilistic finite state automata (PFSA). These PFSA, called D -Markov machines, have a deterministic algebraic structure and their states are represented by symbol blocks of length D or less, where D is a positive integer. The D -Markov machines are constructed in two steps: (i) state splitting, i.e., the states are split based on their information contents, and (ii) state merging, i.e., two or more states (of possibly different lengths) are merged together to form a new state without any significant loss of the embedded information. The modeling complexity (e.g., number of states) of a D -Markov machine model is observed to be drastically reduced as the combustor approaches LBO. An anomaly measure, based on Kullback-Leibler divergence, is constructed to predict the proximity of LBO. The problem of LBO prediction is posed in a pattern classification setting and the underlying algorithms have been tested on experimental data at different extents of fuel-air premixing and fuel/air ratio. It is shown that, over a wide range of fuel-air premixing, D -Markov machines with D > 1 perform better as predictors of LBO than those with D = 1.https://doi.org/10.1260/1756-8277.7.3.209
collection DOAJ
language English
format Article
sources DOAJ
author Soumalya Sarkar
Asok Ray
Achintya Mukhopadhyay
Swarnendu Sen
spellingShingle Soumalya Sarkar
Asok Ray
Achintya Mukhopadhyay
Swarnendu Sen
Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor
International Journal of Spray and Combustion Dynamics
author_facet Soumalya Sarkar
Asok Ray
Achintya Mukhopadhyay
Swarnendu Sen
author_sort Soumalya Sarkar
title Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor
title_short Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor
title_full Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor
title_fullStr Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor
title_full_unstemmed Dynamic Data-Driven Prediction of Lean Blowout in a Swirl-Stabilized Combustor
title_sort dynamic data-driven prediction of lean blowout in a swirl-stabilized combustor
publisher SAGE Publishing
series International Journal of Spray and Combustion Dynamics
issn 1756-8277
1756-8285
publishDate 2015-09-01
description This paper addresses dynamic data-driven prediction of lean blowout (LBO) phenomena in confined combustion processes, which are prevalent in many physical applications (e.g., land-based and aircraft gas-turbine engines). The underlying concept is built upon pattern classification and is validated for LBO prediction with time series of chemiluminescence sensor data from a laboratory-scale swirl-stabilized dump combustor. The proposed method of LBO prediction makes use of the theory of symbolic dynamics, where (finite-length) time series data are partitioned to produce symbol strings that, in turn, generate a special class of probabilistic finite state automata (PFSA). These PFSA, called D -Markov machines, have a deterministic algebraic structure and their states are represented by symbol blocks of length D or less, where D is a positive integer. The D -Markov machines are constructed in two steps: (i) state splitting, i.e., the states are split based on their information contents, and (ii) state merging, i.e., two or more states (of possibly different lengths) are merged together to form a new state without any significant loss of the embedded information. The modeling complexity (e.g., number of states) of a D -Markov machine model is observed to be drastically reduced as the combustor approaches LBO. An anomaly measure, based on Kullback-Leibler divergence, is constructed to predict the proximity of LBO. The problem of LBO prediction is posed in a pattern classification setting and the underlying algorithms have been tested on experimental data at different extents of fuel-air premixing and fuel/air ratio. It is shown that, over a wide range of fuel-air premixing, D -Markov machines with D > 1 perform better as predictors of LBO than those with D = 1.
url https://doi.org/10.1260/1756-8277.7.3.209
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