Recurrence plot for parameters analysing of internal combustion engine

Alexa, Octavian; Ilie, C O; Marinescu, Marin; Vilau, Radu; Grosu, Dănuţ

doi:10.1088/1757-899x/95/1/012121

Cited by 3 publications

(2 citation statements)

References 3 publications

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“…A wide range of complementary approaches to time history simulations have been proposed in the literature to investigate the dynamic behavior of engine models. Recurrence plots have been used to provide insight into the deterministic nature of engine parameters injection impulse width and engine angular speed [1]. Recurrence plot and recurrence quantification analysis were used to investigate the dynamics associated with cycle-to-cycle variations in a diesel engine [2].…”

Section: Introductionmentioning

confidence: 99%

A Bifurcation Analysis of an Open Loop Internal Combustion Engine

Smith

Knowles

Mason

2019

SAE Technical Paper Series

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The process of engine mapping in the automotive industry identifies steady-state engine responses by running an engine at a given operating point (speed and load) until its output has settled. While the time simulating this process with a computational model for one set of parameters is relatively short, the cumulative time to map all possible combinations becomes computationally inefficient. This work presents an alternative method for mapping out the steady-state response of an engine in simulation by applying bifurcation theory. The bifurcation approach used in this work allows the engine's steady-state response to be traced through the model's stateparameter space under the simultaneous variation of one or more model parameters. To demonstrate this approach, a bifurcation analysis of a simplified nonlinear engine model is presented. Using "throttle demand" and "desired load torque signal", the engine's dynamic response is classified into distinct regions bounded by bifurcation points. These bifurcations are shown to correspond to key physical properties of the open-loop system: fold bifurcations correspond to the minimum throttle angle required for a steady-state engine response; Hopf bifurcations bound a region where selfsustaining oscillations occur. The techniques used in this case study demonstrate the efficiency a bifurcation approach has at highlighting different regions of dynamic behavior in the engine's state-parameter space. Such an approach could speed up the mapping process and enhance the automotive engineer's understanding of an engine's underlying dynamic behavior. The information obtained from the bifurcation analysis could also be used to inform the design of future engine control strategies.

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Section: Introductionmentioning

confidence: 99%

A Bifurcation Analysis of an Open Loop Internal Combustion Engine

Smith

Knowles

Mason

2019

SAE Technical Paper Series

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“…A variety of approaches to complement conventional time history simulations of nonlinear dynamic models have been presented in engine literature: recurrence plots and recurrence quantification analysis have been used to investigate the relation between injection impulse with engine speed 1 and the dynamics associated with cycle-to-cycle variations in a diesel engine 2 ; multi-level substructuring procedures were used to study periodic responses of large engine models in Theodosiou et al 3 ; 0-1 testing was applied to classify chaotic behaviour within the combustion process. 4 Understanding the steady-state response of engine models is also highlighted as a challenge in the literature: in Beno et al, 5 the authors studied the calibration of a turbocharged diesel engine by representing the highly nonlinear system as a mean value model.…”

Section: Introductionmentioning

confidence: 99%

Numerical continuation applied to internal combustion engine models

Smith

Knowles

Mason

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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This paper proposes tools from bifurcation theory, specifically numerical continuation, as a complementary method for efficiently mapping the state-parameter space of an internal combustion engine model. Numerical continuation allows a steady-state engine response to be traced directly through the state-parameter space, under the simultaneous variation of one or more model parameters. By applying this approach to two nonlinear engine models (a physics-based model and a data-driven model), this work determines how input parameters ‘throttle position’ and ‘desired load torque’ affect the engine’s dynamics. Performing a bifurcation analysis allows the model’s parameter space to be divided into regions of different qualitative types of the dynamic behaviour, with the identified bifurcations shown to correspond to key physical properties of the system in the physics-based model: minimum throttle angles required for steady-state operation of the engine are indicated by fold bifurcations; regions containing self-sustaining oscillations are bounded by supercritical Hopf bifurcations. The bifurcation analysis of a data-driven engine model shows how numerical continuation could be used to evaluate the efficacy of data-driven models.

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An Alternative Method for Identifying Interplanetary Magnetic Cloud Regions

González

Mendes

Calzadilla

et al. 2017

ApJ

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Spatio-temporal entropy (STE) analysis is used as an alternative mathematical tool to identify possible magnetic cloud (MC) candidates. We analyze Interplanetary Magnetic Field (IMF) data using a time interval of only 10 days. We select a convenient data interval of 2500 records moving forward by 200 record steps until the end of the time series. For every data segment, the STE is calculated at each step. During an MC event, the STE reaches values close to zero. This extremely low value of STE is due to MC structure features. However, not all of the magnetic components in MCs have STE values close to zero at the same time. For this reason, we create a standardization index (the so-called Interplanetary Entropy, IE, index). This index is a worthwhile effort to develop new tools to help diagnose ICME structures. The IE was calculated using a time window of one year (1999), and it has a success rate of 70% over other identifiers of MCs. The unsuccessful cases (30%) are caused by small and weak MCs. The results show that the IE methodology identified 9 of 13 MCs, and emitted nine false alarm cases. In 1999, a total of 788 windows of 2500 values existed, meaning that the percentage of false alarms was 1.14%, which can be considered a good result. In addition, four time windows, each of 10 days, are studied, where the IE method was effective in finding MC candidates. As a novel result, two new MCs are identified in these time windows.

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Recurrence plot for parameters analysing of internal combustion engine

Cited by 3 publications

References 3 publications

A Bifurcation Analysis of an Open Loop Internal Combustion Engine

A Bifurcation Analysis of an Open Loop Internal Combustion Engine

Numerical continuation applied to internal combustion engine models

An Alternative Method for Identifying Interplanetary Magnetic Cloud Regions

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