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April 19, 2026Algorithms1 citationsOpen Access

A Hybrid Physics-Informed ML Framework for Emission and Energy Flow Prediction in a Retrofitted Heavy-Duty Vehicle

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TMTalha MujahidTDTeresa DonateoPMPietropaolo Morrone

Key Points

  • The central aim is to develop a reliable framework for predicting emissions and energy variables in heavy-duty diesel vehicles using machine learning and physics-informed models.
  • Developed a physics-informed machine learning framework.
  • Trained a Random Forest regressor on a public dataset of vehicle trips.
  • Utilized time-lagged features from multi-sensor inputs to predict emissions and energy variables.
  • Integrated the model into a simulation framework for operating conditions assessment.
  • Exhaust temperature prediction achieved R2 = 0.9997 and RMSE = 0.53 g/s.
  • CO2 prediction had R2 = 0.9985 and RMSE = 0.38 g/s.
  • Assessed cold-start operation showed emission penalties of up to +28% for CO2 and +30% for NOx.
  • Hybrid electric architecture resulted in reductions of −12.2% in CO2 and −10.5% in NOx emissions.

Abstract

This study introduces a physics-informed machine learning framework for predicting transient emissions and energy variables in a retrofitted heavy-duty diesel vehicle. It merges data-driven modeling with physically derived features for reliable real-world analysis. A Random Forest regressor is trained on a public dataset (26 trips from one instrumented vehicle) to predict CO2 and NOx mass rates, exhaust temperature, exhaust mass flow rate, and fuel flow rate from synchronized multi-sensor inputs using past-only, time-lagged features. On held-out trips, exhaust temperature prediction achieves R2 = 0.9997 and RMSE = 0.53 g/s; for CO2, with R2 = 0.9985 and RMSE= 0.38 g/s, comparable performance is reported for NOx, exhaust flow, and fuel rate. The trained model is integrated into a simulation framework to enable the evaluation of alternative operating conditions and powertrain configurations. First, the impact of cold-start versus hot-start operation is assessed, showing cumulative emission penalties of up to +28% for CO2 and +30% for NOx. Second, the effect of hybridization is investigated by comparing the baseline thermal configuration with a hybrid electric architecture, resulting in estimated reductions of −12.2% in CO2 and −10.5% in NOx emissions. This tool excels in high-fidelity emission prediction and system-level energy analysis, aiding advanced powertrain assessments under realistic driving conditions.

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Cite This Study

Mujahid et al. (2026) studied this question.

synapsesocial.com/papers/69e47250010ef96374d8e6dfhttps://doi.org/10.3390/a19040317
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