Empirisches Modell zur Vorausberechnung des Brennverlaufes bei Common-Rail-Dieselmotoren

Barba, Christian; Burkhardt, Christine; Boulouchos, Konstantinos; Bargende, Michael

doi:10.1007/bf03226507

Cited by 14 publications

(4 citation statements)

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“…Concerning modern engines, a split of the fuel injection into several stages makes the combustion process more complex . In this case, the Wiebe’s function will require more than two exponential laws to be applied.…”

Section: Sensitivity Analysis Methodologymentioning

confidence: 99%

“…To improve the exhaust emissions and performance of internal combustion engines, the influence of the design parameters over the engine behavior must be identified . Depending on the purpose (design, control, or diagnosis), pressure cycle measurements and modeling may be required. − Among the different procedures to model the combustion process into a combustion chamber, − the Wiebe’s parametric model that provides the mass burned fraction (MBF) corresponds to one of the most internationally extended . In this sense, many studies predict the correlations between some of the previous parameters. , …”

Section: Introductionmentioning

confidence: 99%

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Influence of a Combustion Parametric Model on the Cyclic Angular Speed of Internal Combustion Engines. Part II: Statistical Sensitivity Assessment Results

et al. 2009

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The most extended parametric form that describes the combustion process in an engine is based on the fuel rate of heat release (ROHR), derived from a mass burned fraction function (MBF), such as Wiebe's function. When a combustion model is included in either identification or optimization processes, the obtained cyclic pressure and speed profiles must be very close to real values, thus helping to estimate the ROHR accurately. However, in most cases deep knowledge about the input parameters associated to the combustion model is not available, thus indicating the same system response (engine instantaneous angular speed) can lead to multiple solutions. In this work, a procedure to establish a relationship between the combustion model input parameters and the engine dynamic response (cyclic angular speed), next to the interrelation between input factors, is presented. In a previous work, the necessity of a sensitivity assessment has been justified. (Cruz-Peragon, F.; Jimenez-Espadafor, F. J.; Palomar, J. M.; Dorado, M. P. Energy Fuels 2009, 23, 2921-2929.) According to this, a design of experiment (DoE) including data from a test set provided by a single-cylinder direct injection compression ignition engine (CIE) has been carried out. Later, a statistical assessment has been performed to evaluate both the influence of the main parameters of the combustion model over the system response and the interrelation between parameters. Finally, some improvements about the parameters estimation procedure are discussed. It can be concluded that the equivalence ratio, the ignition timing for spark ignition engines or SIE (injection timing for CIE), and the form factor are parameters with high influence over the engine response. The proposed methodology helps to analyze engine combustion but needs adjustments to extend its application to other engines. However, the procedure demonstrates the effectiveness of this methodology if both adequate experimental designs and system model are used.

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Section: Sensitivity Analysis Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Influence of a Combustion Parametric Model on the Cyclic Angular Speed of Internal Combustion Engines. Part II: Statistical Sensitivity Assessment Results

et al. 2009

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“…wobei w (2) k die Gewichte der Ausgangsschicht und w (1) kj die Gewichte der versteckten Schicht mit K versteckten Neuronen beschreiben. Die Gewichte werden aus einer mittelwertfreien Gaussverteilung initialisiert.…”

Section: Multilayer-perceptron-netzwerk (Mlp)unclassified

Vergleich datenbasierter Lernverfahren für den Einsatz in der ZylinderdruckmodellierungComparative Analysis of Data Based Modeling Techniques for Cylinder Pressure Modeling

Weißenborn¹,

Bossmeyer

Bertram

2009

At - Automatisierungstechnik

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Zusammenfassung Dieser Beitrag beinhaltet eine vergleichende Analyse datenbasierter Lernverfahren im Hinblick auf die Anwendung in einem empirischen Verbrennungsdruckmodell für Dieselmotoren. Neben den im Schwerpunkt betrachteten Neuro-Fuzzy-Modellen werden ein Polynommodell, ein Multilayer-Perceptron-Netz sowie ein nichtparametrischer Ansatz in die Analyse einbezogen. Als Ausgangspunkt dient eine Einführung in die Struktur des Zylinderdruckmodells mit Definition der konkreten Modellierungsprobleme sowie die kompakte Darstellung der Berechnungsvorschriften. Anschließend werden die Ergebnisse gegenübergestellt und die Verfahren anhand ausgewählter Bewertungskriterien verglichen.

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“…Main parametric models are the Wiebe model and the Logistical models, besides general recursive procedures, providing a fuel mass-burned fraction (MBF) profile that depends on the crank angle degree (CAD) . Although there are other expressions such as the models from Chmela et al and Barba et al, , the widely used Wiebe model provides a good agreement between measured and calculated in-cylinder pressure. − Different analyses predict correlations between some of these parameters. , Engines are mechanical systems where pressures are considered to be the input forces, and the response of a given torque is the instantaneous angular speed. In this sense, in many failure diagnosis applications, the pressure cyclic curve is determined from the angular speed analysis. ,, Although the pressure profile is approached accurately, results from the analysis of combustion parameters through parametric models differ from real values, with the exception of two parameters (fuel equivalence ratio and injection timing), that can be fairly estimated, thus demonstrating the relation between input and output parameters is not unique. , …”

Section: Introductionmentioning

confidence: 99%

Influence of a Combustion Parametric Model on the Cyclic Angular Speed of Internal Combustion Engines. Part I: Setup for Sensitivity Analysis

et al. 2009

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Combustion parameters evaluation presents an important application to engines failures diagnosis. The most extended parametric procedure to describe combustion processes in internal combustion engines is based on the Wiebe's function and depends on the rate of heat release of the fuel (ROHR) and several input parameters. When a combustion model is used for indirect identification and optimization processes, the simulation of both profiles, cyclic pressure and speed, must guarantee an accurate estimation of ROHR through convenient curves estimation. However, in case some input parameters of the combustion model are unknown, several solutions will show up. To fix this problem, a combustion parametric model is proposed. In this work, the necessity of establishing the correlation between the combustion model input parameters, the engine dynamic response (cyclic angular speed), and the interrelation between them, has been demonstrated. This correlation is considered the starting point that will allow the performance of a further sensitivity analysis of the response in terms of combustion, thus optimizing the combustion model in search of unique solutions. The study has been carried out in both a single-cylinder direct-injection (DI) compression ignition engine (CIE) and a threecylinder spark ignition engine (SIE). Data associated to the angular speed profile have been adopted as output parameters of the engine, while combustion-related ones have been considered input parameters. Results showed that, for further sensitivity analysis and model optimization, evaluation of the influence of combustion parameters over the engine angular speed is extremely important, if indirect modeling is applied. The best way to assess the relation between input and output variables is by a sensitivity analysis through a previous design of experiments.

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Empirisches Modell zur Vorausberechnung des Brennverlaufes bei Common-Rail-Dieselmotoren

Cited by 14 publications

References 1 publication

Influence of a Combustion Parametric Model on the Cyclic Angular Speed of Internal Combustion Engines. Part II: Statistical Sensitivity Assessment Results

Influence of a Combustion Parametric Model on the Cyclic Angular Speed of Internal Combustion Engines. Part II: Statistical Sensitivity Assessment Results

Vergleich datenbasierter Lernverfahren für den Einsatz in der ZylinderdruckmodellierungComparative Analysis of Data Based Modeling Techniques for Cylinder Pressure Modeling

Influence of a Combustion Parametric Model on the Cyclic Angular Speed of Internal Combustion Engines. Part I: Setup for Sensitivity Analysis

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