Phenomenological model of a solid electrolyte NOx and O2 sensor using temperature perturbation for on-board diagnostics

Abstract Amperometric NOx sensors are increasingly used in automotive industry to meet the stringent emission measurement regulations. These sensors measure O2 and NOx concentration using two different sensing cells. In this work, a physics-based model was developed and then employed to predict the sensor output for oxygen as a function of sensor temperature and oxygen concentration. A temperature perturbation method was also developed based on the model to calibrate the sensor output with respect to oxygen concentration. The model accurately matched the experimental results for steady state and transient conditions. A two step sensor diagnostics procedure based on the sensor temperature perturbation method was then proposed. The first diagnostics step evaluates the sensor output to check if it is within the acceptable range. The second diagnosis step checks the plausibility of the sensor output based on the physics based model and temperature perturbation. A self-calibration procedure was also implemented inside the diagnostics procedure using temperature perturbation at engine-off. This self-recalibration only requires an external relative humidity measurement.

[1]  Robert E. Wilson,et al.  Fundamentals of momentum, heat, and mass transfer , 1969 .

[2]  D. R. Brown,et al.  Amperometric oxygen sensors based on dense Tb-Y-Zr-O electrodes , 1998 .

[3]  Peng Geng,et al.  Experimental investigation on NOx and green house gas emissions from a marine auxiliary diesel engine using ultralow sulfur light fuel. , 2016, The Science of the total environment.

[4]  Vikram Betageri,et al.  Effects of the Real Driving Conditions on the NOx Emission of a Medium Duty Diesel Commercial Vehicle , 2017 .

[5]  R. Kalaba,et al.  Nonlinear Least Squares , 1986 .

[6]  Sebastian Verhelst,et al.  Experimental study of NOx reduction on a Medium , 2014 .

[7]  W. Göpel,et al.  Multi-electrode zirconia electrolyte amperometric sensors , 2000 .

[8]  Jingkun Yu,et al.  A review of high-temperature electrochemical sensors based on stabilized zirconia , 2015 .

[9]  Jinyoung Jang,et al.  NOx reduction and N2O emissions in a diesel engine exhaust using Fe-zeolite and vanadium based SCR catalysts , 2017 .

[10]  Lino Guzzella,et al.  Feedback control of particulate matter and nitrogen oxide emissions in diesel engines , 2013 .

[11]  Norio Miura,et al.  Improvement of sensing performances of zirconia-based total NOx sensor by attachment of oxidation-catalyst electrode , 2004 .

[12]  David James Scholl,et al.  Development of an Al2O3/ZrO2-Composite High-Accuracy NOx Sensor , 2010 .

[13]  K. Rajakumar,et al.  Development and Evaluation of Exhaust Brake Systems for Light Commercial Vehicle , 2005 .

[14]  Ayush Jain,et al.  Effect of split fuel injection and EGR on NOx and PM emission reduction in a low temperature combustion (LTC) mode diesel engine , 2017 .

[15]  Jingkun Yu,et al.  Properties of limiting current oxygen sensor with La0.8Sr0.2Ga0.8Mg0.2O3−δ solid electrolyte and La0.8Sr0.2(Ga0.8Mg0.2)1−xCrxO3−δ dense diffusion barrier , 2017 .

[16]  R. J. Millington,et al.  Gas Diffusion in Porous Media , 1959, Science.

[17]  Charles Robert Koch,et al.  Amperometric solid electrolyte NO x sensors – The effect of temperature and diffusion mechanisms , 2017 .

[18]  K. Glover,et al.  Estimating IC engine exhaust gas lambda and oxygen from the response of a universal exhaust gas oxygen sensor , 2013 .

[19]  Hak-Keung Lam,et al.  Observer-Based Fault Detection for Nonlinear Systems With Sensor Fault and Limited Communication Capacity , 2016, IEEE Transactions on Automatic Control.

[20]  Javad Mohammadpour,et al.  A survey on diagnostic methods for automotive engines , 2012, Proceedings of the 2011 American Control Conference.

[21]  T. Johnson Review of Vehicular Emissions Trends , 2015 .

[22]  Charles Robert Koch,et al.  Estimating tailpipe NOx concentration using a dynamic NOx/ammonia cross sensitivity model coupled to a three state control oriented SCR model , 2016 .

[23]  Nick Collings,et al.  Fast response air-to-fuel ratio measurements using a novel device based on a wide band lambda sensor , 2008 .

[24]  Rolf Isermann,et al.  Supervision, fault-detection and diagnosis methods – a short introduction , 2011 .

[25]  Tadashi Nakamura,et al.  NOx decomposition mechanism on the electrodes of a zirconia-based amperometric NOx sensor , 2003 .

[26]  Steven X. Ding,et al.  A Survey of Fault Diagnosis and Fault-Tolerant Techniques—Part I: Fault Diagnosis With Model-Based and Signal-Based Approaches , 2015, IEEE Transactions on Industrial Electronics.

[27]  Zhen Huang,et al.  Review of state of the art technologies of selective catalytic reduction of NOx from diesel engine exhaust , 2014 .

[28]  Lora B. Thrun,et al.  Amperometric NOx Sensor Based on Oxygen Reduction , 2016, IEEE Sensors Journal.

[29]  Paul M. Frank,et al.  Analytical and Qualitative Model-based Fault Diagnosis - A Survey and Some New Results , 1996, Eur. J. Control.

[30]  Investigations on the possibilities of a MISiCFET sensor system for OBD and combustion control utilizing different catalytic gate materials , 2004 .

[31]  Y. Çengel,et al.  Thermodynamics : An Engineering Approach , 1989 .

[32]  Paul Baltusis On Board Vehicle Diagnostics , 2004 .

[33]  V. Praveena,et al.  A review on various after treatment techniques to reduce NOx emissions in a CI engine , 2017, Journal of the Energy Institute.

[34]  M. Salazar,et al.  Hybrid catalysts for the selective catalytic reduction (SCR) of NO by NH3: Precipitates and physical mixtures , 2017 .

[35]  G. Lu,et al.  High Performance Mixed-Potential Type NOx Sensor Based On Stabilized Zirconia and Oxide Electrode , 2014 .

[36]  I. Slama-Belkhodja,et al.  State Observer-Based Sensor Fault Detection and Isolation, and Fault Tolerant Control of a Single-Phase PWM Rectifier for Electric Railway Traction , 2013, IEEE Transactions on Power Electronics.

[37]  Franz Schubert,et al.  Self-heated HTCC-based ceramic disc for mixed potential sensors and for direct conversion sensors for automotive catalysts , 2017 .

[38]  Ralf Moos,et al.  A Brief Overview on Automotive Exhaust Gas Sensors Based on Electroceramics , 2005 .

[39]  Charles Robert Koch,et al.  An HCCI Control Oriented Model that Includes Combustion Efficiency , 2016 .

[40]  N. Miura,et al.  Sensing characteristics of YSZ-based oxygen sensors attached with BaxSr1 - xFeO3 sensing-electrode , 2016 .