Accurate Short-Horizon Multi-Target Prediction of PMSM Operational Parameters via Residual Dilated 1D Convolutional Neural Networks
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Keywords

PMSM
Residual dilated CNN
Multi-target prediction
Short-horizon forecasting

How to Cite

Accurate Short-Horizon Multi-Target Prediction of PMSM Operational Parameters via Residual Dilated 1D Convolutional Neural Networks. (2026). Computational Systems and Artificial Intelligence, 2(1), 7-14. https://doi.org/10.69882/adba.csai.2026012

Abstract

Accurate short-horizon prediction of key operating parameters in Permanent Magnet Synchronous Motors (PMSMs) is essential for ensuring operational safety, optimizing control strategies, and preventing thermal stress-induced failures. This study presents a residual dilated one-dimensional convolutional neural network (1D-CNN) framework for the simultaneous estimation of three target variables motor speed, stator yoke temperature, and stator winding temperature using a publicly available high-resolution multi-sensor PMSM dataset collected on a laboratory test bench at Paderborn University. The dataset comprises 1,330,816 samples of 13 variables without missing values and was processed through a systematic pipeline including normalization, sliding-window sequence generation (window size: 256), and train–test splitting. The proposed architecture integrates dilated convolutional layers to expand the temporal receptive field, residual connections to facilitate gradient flow, and dense layers for multi-output regression. Experimental evaluations using MSE, RMSE, MAE, and R² metrics demonstrated high prediction accuracy, achieving R² values of 0.9969, 0.9819, and 0.9698 for motor speed, stator yoke temperature, and stator winding temperature, respectively, with an average R² of 0.9829 and MAE of 26.35. Comparative feature importance analysis across three independent methods consistently identified coolant temperature, d-axis current, and ambient temperature as the most influential predictors. Residual distribution analysis confirmed low bias and symmetric error patterns across all targets. The proposed approach offers a robust and computationally efficient solution for real-time PMSM monitoring, predictive control, and condition-based maintenance.

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References

Altmann, A., L. Tolo̧si, O. Sander, and T. Lengauer, 2010. Permutation Importance: A Corrected Feature Importance Measure. Bioinformatics 26: 1340–1347.

Bai, S., J. Z. Kolter, and V. Koltun, 2018. An Empirical Evaluation of Generic Convolutional and Recurrent Networks for Sequence Modeling. arXiv preprint arXiv:1803.01271.

Borovykh, A., S. Bohte, and C. W. Oosterlee, 2017. Conditional Time Series Forecasting with Convolutional Neural Networks. arXiv preprint arXiv:1703.04691.

Bouziane, M., B. Bossoufi, A. Derouich, A. Lagrioui, M. Taoussi, et al., 2024. Enhancing Temperature and Torque Prediction in PMSMs with BiLSTM. AIP Advances 14: 105136.

Holtz, J. and M. U. I. Malik, 2006. Sensorless Detection of Rotor Position and Speed in Permanent-Magnet Synchronous Machines. IEEE Transactions on Industry Applications 42: 1241–1248.

Jahns, T. M. and W. L. Soong, 1996. Pulsating Torque Minimization Techniques for Permanent Magnet AC Motor Drives – A Review. IEEE Transactions on Industrial Electronics 43: 321–330.

Jing, H., Y. Chen, X. Zhao, and W. Sun, 2023. Gradient Boosting Decision Tree for Rotor Temperature Estimation in PMSMs. IEEE Transactions on Power Electronics 38: 10617–10622.

Kaneko, H., 2022. Cross-Validated Permutation Feature Importance Considering Feature Correlation. Advanced Science 9: e202200018.

Kim, L., 2025. Comprehensive Survey of Deep Learning for Time Series Forecasting. ACM Computing Surveys 57: 1–37.

Kirchgässner, W., 2021. Electric Motor Temperature Dataset. Kaggle, Online.

Kirchgässner, W., O. Wallscheid, and J. Böcker, 2021. Estimating Electric Motor Temperatures with Deep Residual Machine Learning. IEEE Transactions on Power Electronics 36: 7480–7488.

La Cava, W., J. T. Moore, B. D. Moore, P. Shankaranarayanan, and J. H. Moore, 2020. Interpretation of Machine Learning Predictions for Patient Outcomes Using Permutation Importance. IEEE Journal of Biomedical and Health Informatics 24: 1414–1421.

LeCun, Y., Y. Bengio, and G. Hinton, 2015. Deep Learning. Nature 521: 436–444.

Li, J. and T. Akilan, 2022. Global Attention-Based Encoder–Decoder LSTM for PMSM Temperature Prediction. IEEE Access 10: 76921–76933.

Li, J., H. Huang, and T. Akilan, 2024. Data-Driven Temperature Prediction for PMSMs Using Deep Learning and Feature Selection. Energies 17: 1234.

Liu, Z., T. Zhang, Y. Wang, and M. Xu, 2024. Hybrid Thermal Modeling with LPTN-Informed Neural Network for Multi-Node Temperature Estimation in PMSM. IEEE Transactions on Power Electronics, Early Access.

Mi, X., Y. Zou, L. Zhu, L. Fang, and S. Ma, 2021. Permutation-Based Feature Importance Test (PermFIT) for Deep Neural Networks and SVMs. Bioinformatics 37: 2633–2640.

Nguyen, T. T., T. H. Nguyen, and J. W. Jeon, 2023. Explicit Model Predictive Speed Control for Permanent Magnet Synchronous Motor with Torque Ripple Minimization. IEEE Access 11: 134199–134210.

Pellegrino, L., A. Vagati, B. Boazzo, and P. Guglielmi, 2012. Performance Comparison Between Surface-Mounted and Interior PM Motor Drives for Electric Vehicle Application. IEEE Transactions on Industrial Electronics 59: 803–811.

Pyrhönen, J., T. Jokinen, and V. Hrabovcová, 2014a. Design of Rotating Electrical Machines. Wiley, Hoboken, NJ, USA, second edition.

Pyrhönen, J., A. Niemenmaa, and T. Jokinen, 2014b. Thermal Behavior of Electrical Machines—An Overview. IEEE Transactions on Industrial Electronics 61: 4391–4403.

Sheng, Y., X. Zhang, Z. Xu, and W. Guo, 2025. OLTEM: Lumped Thermal and Deep Neural Model for Temperature Estimation of PMSMs. Machines 13: 57.

Tallam, R. M., T. G. Habetler, and R. G. Harley, 2002. Transient Model of Induction Machines with Stator Winding Turn Faults. IEEE Transactions on Industry Applications 38: 632–637.

Thakur, D. and S. Kumar, 2024. Permutation Importance Based Modified Guided Regularized Random Forest for Feature Selection. Neurocomputing 517: 372–383.

Vansompel, H., B. Sergeant, and L. Vandevelde, 2014. Lumped Parameter Thermal Model for a Permanent Magnet Synchronous Machine in a Hybrid Electric Vehicle. IEEE Transactions on Energy Conversion 29: 823–831.

Vansompel, H., B. Sergeant, and L. Vandevelde, 2022. Thermal Management in PMSMs for Electric Vehicles: A Review. Energies 15: 3210.

Winkler, A., M. Eisenbarth, and J. Andert, 2024. Physics-Informed Machine Learning for Electric Machine Thermal Management: A Review. IEEE Access 12: 120050–120072.

Yu, F. and V. Koltun, 2015. Multi-Scale Context Aggregation by Dilated Convolutions. arXiv preprint arXiv:1511.07122.

Zhang, P., Z. Liu, and M. Degano, 2021. Thermal Modeling and Analysis of Permanent Magnet Synchronous Motors for Electric Vehicle Applications. Energies 14: 606.

Zhang, Y., M. Li, and K. Wang, 2022. Motor Speed Prediction of PMSMs Using One-Dimensional Convolutional Neural Networks. Energies 15: 8423.

Zhu, Z. Q. and D. Howe, 2007. Electrical Machines and Drives for Electric, Hybrid, and Fuel Cell Vehicles. Proceedings of the IEEE 95: 746–765.

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