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High Resolution Global NOx Sub-Model for Embedded System Application with Low Calibration Effort
(2020)
The starting point of the present work is a global model of NOx formation for stoichiometric and lean combustion of hydrocarbons developed on the basis of a single non-linear algebraic equation. The latter is the exact solution of a system of differential equations describing the main kinetic reaction schemes of NOx formation, because it’s been analytically derived. The NOx sub-model incorporates the well-established thermal (extended Zeldovich) and the N2O reaction paths, which are considered to be the most relevant NOx production paths under certain operating conditions in arbitrary engine application. Furthermore, the NOx sub-model proposed here relies on well-established and adopted mechanisms like the GRI-Mech 3.0 [25] and consequently requires no parameter adjustment.
The single equation NOx sub-model has been developed by the authors in a previous study [14] and shown satisfactory results when validated against test bench data of two different engines operated under stoichiometric and lean burn combustion conditions respectively. Therefore, there is a strong evidence, that its implementation on embedded systems for "in-situ" and "in memory" analysis of engine process data, or even its application as a virtual sensor, is of great importance. Unfortunately, the previous developed NOx sub-model requires a few seconds running time per engine cycle. This long running time makes the model though less attractive for a real-time application. In the current study the main goal is to drastically reduce the computational times without compromising robustness and accuracy. The require-ments for the time resolution on a dSpace Microautobox (MAB) is set to at least 1 kHz, meaning running times of the NOx sub-model of 1 ms per engine cycle, while its accuracy needs to be ensured at the levels of the detailed NOx sub-model as validated in [14].
The computationally most expensive steps have been identified and concern on the one hand the chemical equilibrium calculations based on the minimization of the free Gibbs energy and on the other hand the iterative solution method of the non-linear algebraic equation for the determination of the actual NOx concentration. Approaches for both steps have been developed and tested on the dSpace MAB II leading to an average computational time of 20 μs per point. Main focus of the present work is on the NOx sub-model and not the associated thermodynamic sub-models needed to describe the whole process. In order to cope with any uncertainties in NOx sub-model’s input parameters (p, T and mixture composition) only one calibration factor has been introduced and hence leads to low calibration effort. The final NOx sub-model results are compared to the detailed model and show a very good agreement.
High Resolution Global NOx Sub-Model for Embedded System Application with Low Calibration Effort
(2020)
<div class="section abstract"<div class="htmlview paragraph"Ammonia, which is considered as an excellent hydrogen carrier, could potentially become a clean fuel for direct use in ICE.</div<div class="htmlview paragraph"An experimental setup with a strongly modified inline four-cylinder (I4) heavy duty Diesel engine was used to study different combustion modes of ammonia in ICE. The fourth cylinder of that engine was operated in a monovalent mode using either OME or Diesel fuel. Its complete exhaust stream was fed into the first cylinder of the same engine, which was operated on a dual-fuel mode by utilizing ammonia port injection and OME or Diesel pilot injection to ignite the mixture. The fourth cylinder of the I4 heavy duty engine can be operated at conditions between idle and full load and at different stoichiometries (λ) to impact both the temperature and the oxygen concentration at the exhaust of that cylinder. Since the first cylinder is fed by the complete exhaust stream of the fourth, the intake conditions of the first cylinder can be controlled appropriately and various ammonia combustion modes can be realized.</div<div class="htmlview paragraph"Emissions measurements at the intake and the exhaust of the first cylinder at different speeds and loads show the impact of the different combustion modes, especially due to temperature and oxygen content variations, on NOx and combustion efficiency. Chemical kinetics calculations have been elaborated to explain some of the main observations.</div</div