Motion Control of an Electric Power-Assisted Bicycle under the Effects of Operating Conditions

Thu Huyen Bui1, Ba Hung Nguyen1,
1 Hanoi University of Science and Technology, Ha Noi, Vietnam

Main Article Content

Abstract


The use of electric bicycle (EB) is considered as a useful solution for reducing the exhaust emissions and dependence of fossil fuels. Along with the development of EBs, studies on their motion characteristics have been receiving more attentions. In this paper, the control of the angular speed of the wheel in an electric power-assisted bicycle (EPAB) is discussed, considering external factors such as slope grade and wind speed. One proposed strategy to optimize vehicle speed is the particle swarm optimization (PSO) algorithm. To achieve this, a simulation model was developed to represent the operation of EPAB under rider control. Based on this operating model, mathematical models including a dynamic model of a bicycle under the driver's control, a dynamic model of an electric motor, and a vehicle speed control model using PSO - based Proportional Integral Derivative (PID) controller are established. The simulation demonstrates that the PSO-based PID controller is superior in terms of control compared to using it without PSO and it works quickly in finding Kp, Ki, Kd to control the angular velocity of the wheel when external conditions change. These simulation results can also serve as useful resources for researchers looking to develop electric-assist bicycles.

Article Details

References

[1] M. Kovacikova, P. Janoskova, K. Kovacikova, The impact of emissions on the enviroment within the digital economy, Transportation Research Procedia, vol. 55, Jul. 2021, pp. 1090-1097. https://doi.org/10.1016/j.trpro.2021.07.080
[2] H. Ritchie, Cars, planes, trains: where do CO2 emissions from transport come from?, Our world in data, Oct. 6, 2020. [Online]. Available: https://ourworldindate.org/co2-emissions-fromtransport
[3] A. Ramadhan, R. Dinata, Development of electric bicycle and its impact on the environment, IOP Conference Series: Materials Science and Engineering, vol. 1122, Apr. 2021, pp. 012054. https://doi.org/10.1088/1757-899X/1122/1/012054
[4] A. Muetze, Y.C. Tan, Modeling and analysis of the technical performance of DC-motor electric bicycle drives based on bicycle road test data, IEEE Conference, Antalya, Turkey, May. 3-5, 2007, pp. 1574-1581. https://doi.org/10.1109/IEMDC.2007.383663
[5] N. B. Hung, O. Lim, A review of history, development, design and research of electric bicycles, Applied Energy, vol. 260, Feb. 2020, pp. 114323. https://doi.org/10.1016./j.apenergy.2019.114323
[6] A. Riiser, E. Beer, L. B. Anderden, S. Nordengen, E-cycling and health benefits: A systematic literature review with meta - analyses, Frontiers in Sports and Active Living, vol. 4, Oct. 2022, pp.10311004. https://doi.org/10.3389/fspor.2022.1031004
[7] Z. Gaining, A particle swarm optimization approach for optimum design of PID controller in AVR system, IEEE Transactions on Energy Conversion, vol. 19, no.2, pp. 384 - 391, Jun. 2004. https://doi.org/10.1109/TEC.2003.821821
[8] O. Uyar, M. Cunkas, H. Karaca, Enhanced intelligent control with adaptive system for electrically assisted bicycle, Engineering Science and Technology, an International Journal, vol. 30, Jun. 2022, pp. 101047 https://doi.org/10.1016/j.jestch.2021.08.004
[9] A. Ambroziak, A. Chojectki, The PID controller optimisation module using fuzzy self - tuning PSO for air handling unit in continuous operation, Engineering Applications of Artificial Intelligence, vol. 117, Jan. 2023, pp. 105485. https://doi.org/10.1016/j.engappai.2022.105485
[10] S. Ahmadi, Sh. Abdi, and M. Kakavand, Maximum power point tracking of a proton exchange membrane fuel cell system using PSO-PID controller, International Journal of Hydrogen Energy, vol. 42, Aug. 2017, pp. 20430 - 20443. https://doi.org/10.1016/j.ijhydene.2017.06.208
[11] R. Borase, D. K. Maghade, S.Y. Sondkar, and S. Pawar, A review of PID control design, tuning methods and applications, International Journal of Dynamics and Control, vol. 9, Jul. 2020, pp. 818-827. https://doi.org/10.1007/s40435-020-00665-4
[12] J.Kennedy, R. Eberhart, Particle swarm optimization, Proceedings of ICNN'95 - International Conference on Neural Networks, Perth, WA, Australia, Nov. 27 - Dec. 01, 1995, pp. 1942-1948. https://doi.org/10.1109/ICNN.1995.488968
[13] H. Fan, A modification to particle swarm optimization algorithm, Engineering Computations, vol. 19, no. 8, Jul. 2002, pp. 970 - 989. https://doi.org/10.1108/02644400210450378
[14] T. J. Su, H. C. Wang, and J. W. Liu, Particle Swarm Optimization for Image Noise Cancellation, Third International Conference on Intelligent Information Hiding and Multimedia Signal Processing, Kaohsiung, Taiwan, Nov. 26-28, 2007. https://doi.org/10.1109/IIH-MSP.2007.237