Comparison of equivalent circuit and machine learning methods for CubeSat battery discharge modeling

Ihor Turkin, Lina Volobuieva, Andriy Chukhray, Oleksandr Liubimov

Abstract


The subject of the article is the study and comparison of two approaches to modelling the battery discharge of a CubeSat satellite: analytical using equivalent circuit and machine learning. The article aims to make a reasoned choice of the approach to modelling the battery discharge of a CubeSat satellite. Modelling the battery discharge of a satellite will enable the prediction of the consequences of disconnecting the autonomous power system and ensure the fault tolerance of equipment in orbit. Therefore, the selected study is relevant and promising. This study focuses on the analysis of CubeSat satellite data, based explicitly on orbital data samples of the power system, which include data available at the time of the article’s publication. The dataset contains data on the voltage (mV), current (mA), and temperature (Celsius) of the battery and solar panels attached to the five sides of the satellite. In this context, two approaches are considered: analytical modelling based on physical laws and machine learning, which uses empirical data to create a predictive model. Results: A comparative analysis of the modeling results reveals that the equivalent circuit approach has the advantage of transparency, as it identifies possible parameters that facilitate understanding of the relationships. However, the model is less flexible to environmental changes or non-standard satellite behavior. The machine learning model demonstrated more accurate results, as it can account for complex dependencies and adapt to actual conditions, even when they deviate from theoretical assumptions. However, the model requires prior training on a large amount of data and is less well understood in terms of physical laws. General conclusions. The equivalent circuit approach provides high accuracy and reliability under known conditions, but it is limited when external parameters change. The machine learning approach demonstrates better overall accuracy and stability, especially under variable or unpredictable conditions, but requires a large amount of high-quality data and more complex interpretation. Thus, the most effective approach may be a hybrid one, where the analytical model serves as the basis and machine learning is used as a tool for refining or compensating for inaccuracies.

Keywords


CubeSat; EPS; machine learning; modelling; small satellite

Full Text:

PDF

References


NASA Ames Research Center, Small Spacecraft Systems Virtual Institute. Small Spacecraft Technology: State-of-the-Art Report. 2024 Edition. NASA/TP–20250000142. Moffett Field, CA: NASA Ames Research Center. Available at: https://www.nasa.gov/smallsat-institute/sst-soa/ (accessed 2.05.2025).

CubeSat Design Specification (1U – 12U). Rev 14.1. The CubeSat Program, Cal Poly SLO, 2022. 34 p. Available at: https://static1.squarespace.com/static/5418c831e4b0fa4ecac1bacd/t/62193b7fc9e72e0053f00910/1645820809779/CDS+REV14_1+2022-02-09.pdf. (accessed 2.05.2025).

Liubimov, O., Turkin, I., & Volobuieva, L. The WASM3 Interpreter as a Hard Real-Time Software Platform for the On-Board Computer of a Student Nanosatellite. 13th International Conference on Dependable Systems, Services and Technologies (DESSERT). Athens, Greece, 2023, pp. 1–8. DOI: 10.1109/DESSERT61349.2023.10416436.

Villela, T., Costa, C. A., Brandão, A. M., Bueno, F. T., & Leonardi, R. Towards the Thousandth CubeSat: A Statistical Overview. International Journal of Aerospace Engineering, 2019, article no. 5063145. 13 p. DOI: 10.1155/2019/5063145.

Kulu, E. Nanosats Database: World's largest database of nanosatellites, over 4100 nanosats and CubeSats. Available at: https://www.nanosats.eu/#figures. (accessed 22.05.2025).

Jacklin, S. A. Small-Satellite Mission Failure Rates. NASA/TM – 2018–220034. Moffett Field, CA: NASA Ames Research Center. 46 p. Available at: https://ntrs.nasa.gov/api/citations/20190002705/downloads/20190002705.pdf. (accessed 20.05.2025).

Swartwout, M. The First One Hundred CubeSats: A Statistical Look. Journal of Small Satellites, 2013, vol. 2 no. 2, pp. 213–233. Available at: https://jossonline.com/storage/2021/08/0202-Swartwout-The-First-One-Hundred-Cubesats.pdf. (accessed 2.05.2025).

Abagero, A., Abebe, Y., Tullu, A., Jung, Y. S. & Jung, S. A. Deep Learning-Based MPPT Approach to Enhance CubeSat Power Generation. IEEE Access, 2025, vol. 13, pp. 40076–40089. DOI: 10.1109/ACCESS.2025.3546066.

Li, P., Zhang, J., Xu, R., Zhou, J., & Gao, Z. Integration of MPPT algorithms with spacecraft applications: Review, classification and future development outlook. Energy, 2024, vol. 308. DOI: 10.1016/j.energy.2024.132927.

Shan, C, Chin, CS, Mohan, V & Zhang, C. Review of Various Machine Learning Approaches for Predicting Parameters of Lithium-Ion Batteries in Electric Vehicles. Batteries. 2024, vol. 10, iss. 6, article no. 181. DOI: 10.3390/batteries10060181.

Shakoor, U., Alayedi, M., & Elsayed, E. E. Comprehensive analysis of Cubesat electrical power systems for efficient energy management. Discov Energy, 2025, vol. 5, iss. 9. DOI: 10.1007/s43937-025-00069-5.

Lin, C., Tuo, X., Wu, L., Zhang, G., Lyu, Z., & Zeng, X. Physics-informed machine learning for accurate SOH estimation of lithium-ion batteries considering various temperatures and operating conditions, Energy, 2025, vol. 318, article no. 134937, DOI: 10.1016/j.energy.2025.134937.

Gao, B, Li, X, Guo, F., & Wang, X. Performance Analysis of Battery State Prediction Based on Improved Transformer and Time Delay Second Estimation Algorithm. Batteries. 2025; vol. 11, iss. 7, article no. 262. DOI: 10.3390/batteries11070262.

Ibrahim, A. A., Helmy, S., AbuZayed, U., & Moustafa, R. Modeling and Control of a Charge/Discharge Unit of Electric Power System for Low Earth Orbit Satellites. 2019 International Conference on Innovative Trends in Computer Engineering (ITCE). Aswan, Egypt, 2019, pp. 408–413. DOI: 10.1109/ITCE.2019.8646670.

Perumal, R. P., Voos, H., Vedova, F. D., & Moser, H. Small Satellite Reliability, A Decade in Review. SSC21-WKIII-02. 35th Annual Small Satellite Conference. Logan, UT, 2021. 12 p. DOI: 10.2514/6.2021-3688.

Kulu, E. CubeSats & Nanosatellites - 2024 Statistics, Forecast and Reliability. 75th International Astronautical Congress (IAC 2024). Milan, Italy, 14-18 October 2024, article no. 83232. 14 p. Available at: https://iafastro.directory/iac/archive/tree/IAC-24/B4/6A/IAC-24,B4,6A,13,x83232.brief.pdf. (accessed 22.05.2025).

Jara, A., Lepcha, P., Kim, S., Masui, H., Yamauchi, T., Maeda, G., & Cho, M. On-orbit electrical power system dataset of 1U CubeSat constellation. Data in Brief, 2022, vol. 45, no. 108697. DOI: 10.1016/j.dib.2022.108697.

RM, S. Computation of Eclipse Time for Low-Earth Orbiting Small Satellites. International Journal of Aviation, Aeronautics, and Aerospace, 2019, vol. 6 no. 5. DOI: 10.15394/ijaaa.2019.1412.

Efron, B., Hastie, T., Johnstone, I., & Tibshirani, R. Least Angle Regression. The Annals of Statistics, Ann. Statist., 2004, vol. 32 no. 2, pp. 407–499. DOI: 10.1214/009053604000000067.

Iturbide, E., Cerdá, J., & Graff, M. A Comparison between LARS and LASSO for Initialising the Time-Series Forecasting Auto-Regressive Equations. Procedia Technology, 2013, vol. 7, pp. 282–288. DOI: 10.1016/j.protcy.2013.04.035.




DOI: https://doi.org/10.32620/reks.2025.3.16

Refbacks

  • There are currently no refbacks.