A Fast Physical NOx Model Implemented on an Embedded System
Wilhelmsson, Carl LU ; Tunestål, Per LU ; Widd, Anders LU and Johansson, Rolf LU
(2009)
2009 IFAC Workshop on Engine and Powertrain Control, Simulation and Modeling
In IFAC Proceedings Volumes
42(26).
p.207-215
- Abstract
- This paper offers a two-zone, physical, NOx model with low computational cost, implemented in C on an embedded system. The model is able to compute NOx-emission formation with high time resolution during an engine cycle. To do this the model takes cylinder pressure and injected fuel amount as inputs and produces NO concentration as output. The model as such is not new, nevertheless the physical background of the model as well as the equations upon which the model is based had to be briefly described to facilitate the understanding of the subsequent work. The main part of the paper is devoted to the process of developing an algorithm implementing the described model, techniques used and issues encountered are described. The resulting... (More)
- This paper offers a two-zone, physical, NOx model with low computational cost, implemented in C on an embedded system. The model is able to compute NOx-emission formation with high time resolution during an engine cycle. To do this the model takes cylinder pressure and injected fuel amount as inputs and produces NO concentration as output. The model as such is not new, nevertheless the physical background of the model as well as the equations upon which the model is based had to be briefly described to facilitate the understanding of the subsequent work. The main part of the paper is devoted to the process of developing an algorithm implementing the described model, techniques used and issues encountered are described. The resulting algorithm was implemented in C and tested on an embedded ARM processor. For the sake of implementation, parts of the algorithm had to be pre-computed and stored in tables, allowing significant acceleration of the computations. Since the model is non-linear, exponentially spaced tables had to be developed in order to successfully tabulate the parts needed without consuming too much memory. Much of the methods presented are also applicable in a variety other applications when it is desirable to implement fast versions of complex algorithms and models. The outcome regarding computation speed and memory needed is discussed. The final result is a low-cost NOx model, which is able to compute several orders of magnitude faster than NOx models known so far, implemented in C on an embedded system. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3ccee134-a6d6-4f07-881e-12e2f56383f5
- author
- Wilhelmsson, Carl
LU
; Tunestål, Per
LU
; Widd, Anders
LU
and Johansson, Rolf
LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Embedded Systems, Micro-controllers, Field Programmable Gate Arrays, FPGA, Mathematical model, Physical model, Air pollution, Emissions, Internal Combustion Engine, NO, NOx, Diesel Engine, Engine, Algorithms, Nitrogen Oxides
- in
- IFAC Proceedings Volumes
- volume
- 42
- issue
- 26
- pages
- 9 pages
- publisher
- Elsevier
- conference name
- 2009 IFAC Workshop on Engine and Powertrain Control, Simulation and Modeling
- conference location
- Rueil-Malmaison, France
- conference dates
- 2009-11-30
- external identifiers
-
- scopus:80051541639
- DOI
- 10.3182/20091130-3-FR-4008.00028
- project
- Competence Centre for Combustion Processes
- language
- English
- LU publication?
- yes
- id
- 3ccee134-a6d6-4f07-881e-12e2f56383f5
- date added to LUP
- 2022-06-21 11:49:06
- date last changed
- 2022-09-05 13:42:05
@article{3ccee134-a6d6-4f07-881e-12e2f56383f5,
abstract = {{This paper offers a two-zone, physical, NOx model with low computational cost, implemented in C on an embedded system. The model is able to compute NOx-emission formation with high time resolution during an engine cycle. To do this the model takes cylinder pressure and injected fuel amount as inputs and produces NO concentration as output. The model as such is not new, nevertheless the physical background of the model as well as the equations upon which the model is based had to be briefly described to facilitate the understanding of the subsequent work. The main part of the paper is devoted to the process of developing an algorithm implementing the described model, techniques used and issues encountered are described. The resulting algorithm was implemented in C and tested on an embedded ARM processor. For the sake of implementation, parts of the algorithm had to be pre-computed and stored in tables, allowing significant acceleration of the computations. Since the model is non-linear, exponentially spaced tables had to be developed in order to successfully tabulate the parts needed without consuming too much memory. Much of the methods presented are also applicable in a variety other applications when it is desirable to implement fast versions of complex algorithms and models. The outcome regarding computation speed and memory needed is discussed. The final result is a low-cost NOx model, which is able to compute several orders of magnitude faster than NOx models known so far, implemented in C on an embedded system.}},
author = {{Wilhelmsson, Carl and Tunestål, Per and Widd, Anders and Johansson, Rolf}},
keywords = {{Embedded Systems; Micro-controllers; Field Programmable Gate Arrays; FPGA; Mathematical model; Physical model; Air pollution; Emissions; Internal Combustion Engine; NO; NOx; Diesel Engine; Engine; Algorithms; Nitrogen Oxides}},
language = {{eng}},
number = {{26}},
pages = {{207--215}},
publisher = {{Elsevier}},
series = {{IFAC Proceedings Volumes}},
title = {{A Fast Physical NOx Model Implemented on an Embedded System}},
url = {{http://dx.doi.org/10.3182/20091130-3-FR-4008.00028}},
doi = {{10.3182/20091130-3-FR-4008.00028}},
volume = {{42}},
year = {{2009}},
}