Multi-objective optimization of parallel hydraulic flushing circuit based on NSGA-II

Authors

DOI:

https://doi.org/10.15282/ijame.23.3.2026.14.1050

Keywords:

Large-scale hydraulic motor, Parallel flushing circuit, Motor test bench, Hydraulic circuit optimization, Multi-objective optimization, AMESim

Abstract

In the parallel flushing circuit for large-scale hydraulic motor testing, increasing flushing flow rate raises total pressure loss and casing pressure differential, while reducing pipeline pressure loss alone increases casing pressure. To solve this strongly conflicting engineering problem, this paper proposes an optimization method combining Maximin Latin Hypercube Sampling, Kriging surrogate model and NSGA-II algorithm. Specifically, five core design variables (pipeline lengths, elbow quantities, and pump flow) are systematically tuned to minimize casing pressure difference, minimize total pressure loss, and maximize flushing flow. The TOPSIS method is further applied to derive optimal solutions under different design preferences. The method was verified via AMESim simulation and leave-one-out cross-validation, achieving 0.8%–10.1% optimization for each target, and provides a valuable engineering reference for multi-objective optimization of similar hydraulic circuits. In conclusion, the proposed multi-objective optimization framework successfully resolves the inherent physical contradiction between casing heat dissipation and mechanical seal safety. It proves that combining MLHS, Kriging surrogate models, and NSGA-II is a highly robust approach for large-scale hydraulic test bench design.

References

[1] H. Mu, Y. Luo, and Y. Luo et al., “Numerical Analysis of Energy Recovery of Hybrid Loader Actuators Based on Parameters Optimization,” Actuators, vol. 11, no. 9, p. 260, 2022. doi: 10.3390/act11090260.

[2] H. Zhang, W. Wei, and H. Wang et al., “Digital Hydraulic Motor Characteristic Analysis for Heavy-Duty Vehicle Traction,” Actuators, vol. 14, no. 1, p. 11, 2025. doi: 10.3390/act14010011.

[3] H. Zhao, H. Xie, and Y. Zhao et al., “Coordinated Electro-Hydraulic Composite Braking Method for Improving Energy Recovery in Emergency Braking,” IEEE Transactions on Transportation Electrification, vol. 11, no. 5, pp. 11017–11029, 2025.doi: 10.1109/TTE.2025.3569924.

[4] P. S. Mahankar and A. S. Dhoble, “Review of hydraulic seal failures due to effect of medium to high temperature,” Engineering Failure Analysis., vol. 127, p. 105552, 2021. doi: 10.1016/j.engfailanal.2021.105552.

[5] P. S. Mahankar, A. S. Dhoble, and R. Prabhu, “Experimental investigation of polyurethane seal failure used in hydraulic system,” Engineering Failure Analysis., vol. 150, p. 107319, 2023. doi: 10.1016/j.engfailanal.2023.107319.

[6] S. Liu, A. Ben-Abdelwahed, and A. Sommier et al., “Experimental investigation of leakage flow measurement and surface morphology in small-scale liquid mechanical seals,” Flow Measurement and Instrumentation, vol. 106, p. 102957, 2025. doi: 10.1016/j.flowmeasinst.2025.102957.

[7] D. Li, X. Liu, and R. Nie et al., “Simulation Analysis on Flow Field of Aircraft Hydraulics Bent Pipe with Guide Vane,” Lecture Notes in Electrical Engineering, 2024, pp. 535–545. doi: 10.1007/978-981-97-4010-9_39.

[8] M. Wang, D. Li, and X. Liu et al., “Comparative analysis of guide vane edge profiles in LPBF-manufactured elbows for enhanced flow performance,” Ocean Engineering, vol. 357, p. 125280, 2026. doi: 10.1016/j.oceaneng.2026.125280.

[9] D. Li, N. Dai, H. Wang, and F. Zhang, “Mathematical Modeling Study of Pressure Loss in the Flow Channels of Additive Manufacturing Aviation Hydraulic Valves,” Energies (Basel)., vol. 16, no. 4, p. 1788, 2023. doi: 10.3390/en16041788.

[10] C. K. Park, K. P. Jang, and J. H. Jeong et al., “Analysis on Pressure Losses in Pipe Bends Based on Real-Scale Concrete Pumping Tests,” ACI Materials Journal, vol. 117, no. 3, 2020. doi: 10.14359/51724616.

[11] A. Ebrahimi-Moghadam, S. Kowsari, and F. Farhadi et al., “Thermohydraulic sensitivity analysis and multi-objective optimization of Fe3O4/H2O nanofluid flow inside U-bend heat exchangers with longitudinal strip inserts,” Applied. Thermal Engineering, vol. 164, p. 114518, 2020. doi: 10.1016/j.applthermaleng.2019.114518.

[12] R. Zhang, X. Guo, and Y. Liu et al., “Pressure loss in the vertical hydraulic transport of seabed mineral particles,” Powder Technology, vol. 469, p. 121763, 2026. doi: 10.1016/j.powtec.2025.121763.

[13] I. Bogrekci, P. Demircioglu, and O. Kozaka et al., “Revealing and minimizing hidden energy losses in hydraulic lines of mobile machinery,” Thermal Science, vol. 29, no. 4 Part B, pp. 3061–3074, 2025, doi: 10.2298/TSCI2504061B.

[14] J. Gao, Y. Shi, and Y. Xu et al., “Principle and pressure loss experiment of electro-hydraulic slide-rotary direction valve in single-pump and multi-motor hydraulic system,” Advances in Mechanical Engineering, vol. 16, no. 10, 2024. doi: 10.1177/16878132241284346.

[15] S. Thakur, A. Kumar, and S. Singh, “A Critical Review of the Various Energy-Saving Models Used in Hydrostatic Power Transmission Drives for Enhancing the Efficiency of Chairlift Transport System,” Arab Journal Science Engineering., vol. 49, no. 8, pp. 10327–10348, 2024. doi: 10.1007/s13369-023-08608-9.

[16] S. Liu, W. Xie, and Q. Wang et al., “Thermal performance of a central-jetting microchannel heat sink designed for a high-power laser crystal,” International Journal Heat Mass Transfer, vol. 185, p. 122409, 2022. doi: 10.1016/j.ijheatmasstransfer.2021.122409.

[17] J.-S. Park, L. D. Tai, and M.-Y. Lee, “Numerical Study on the Heat Transfer Characteristics of a Hybrid Direct–Indirect Oil Cooling System for Electric Motors,” Symmetry (Basel)., vol. 17, no. 5, p. 760, 2025. doi: 10.3390/sym17050760.

[18] X. Luo, Z.-N. Yang, and J. Zhang et al., “Effect of Guide Vane on Pressure Loss and Heat Transfer Characteristics of Supercritical CO2 in U-Shaped Channel,” Journal of Thermal Science, vol. 31, no. 3, pp. 701–711, May 2022, doi: 10.1007/s11630-022-1530-z.

[19] Z. Yan, G. Tang, and Y. Gao, “Research on Pressure Control of Hydraulic System for Pump Controlled Anchor Drilling Machine Based on Variable Universe Fuzzy PID Algorithm,” Machines, vol. 13, no. 3, p. 199, 2025. doi: 10.3390/machines13030199.

[20] A. Bonavolontà, E. Frosina, and P. Marani et al., “Experimental and Modelling Analysis of a Downstream Compensation System: Energy Optimization of the Directional Control Valves,” International Journal of Fluid Power, 2023. doi: 10.13052/ijfp1439-9776.2415.

[21] H. Wu, Y. Dong, and G. Cao et al., “Logic design method and optimization of hydraulic system for heavy-duty automatic transmission,” Transactions of the Canadian Society for Mechanical Engineering, vol. 47, no. 1, pp. 143–153, 2023. doi: 10.1139/tcsme-2021-0042.

[22] W. Ullah, M. A. N. Mu’tasim, and M. F. F. Rashid, “Optimization of Cost-Based Hybrid Flowshop Scheduling Using Teaching-Learning-Based Optimization Algorithm,” International Journal of Automotive and Mechanical Engineering, vol. 21, no. 3, pp. 11616–11628, 2024. doi: 10.15282/ijame.21.3.2024.13.0896.

[23] L. Han, L. Yang, and L. Su, “Energy Storage Configuration and Scheduling for Rail Transit Based on a Beetle Antennae-Optimized Back Propagation Neural Network Prediction Algorithm,” International Journal of Automotive and Mechanical Engineering, vol. 22, no. 4, pp. 12970–12985, 2025. doi: 10.15282/ijame.22.4.2025.10.0987.

[24] W. Lu, “Optimization Design of Electromechanical Servo System Based on Dual Motor Control Algorithm,” International Journal of Automotive and Mechanical Engineering, vol. 22, no. 1, pp. 12162–12173, 2025. doi: 10.15282/ijame.22.1.2025.16.0933.

[25] K. Deb, A. Pratap, and S. Agarwal et al., “A fast and elitist multi objective genetic algorithm: NSGA-II,” IEEE Transactions on Evolutionary Computation, vol. 6, no. 2, pp. 182–197, 2002. doi: 10.1109/4235.996017.

[26] Suprayitno and M. Y. Pratama, “Multi objective Optimization of Three-Pass Perforated Muffler Design for Improved Acoustic Performance and Reduced Fluid Pressure Drop Using Genetic Algorithms,” International Journal of Automotive and Mechanical Engineering, vol. 22, no. 1, pp. 12074–12090, 2025. doi: 10.15282/ijame.22.1.2025.10.0927.

[27] Z. Zheng, N. Chen, and X. Yuan et al., “Analysis and Optimization of Multi-Physical Field Coupling in Boom Flow Channel of Excavator Multiway Valves,” Machines, vol. 12, no. 9, p. 611, 2024. doi: 10.3390/machines12090611.

[28] Y. Yue, Y. Li, and X. Zuo, “Optimization of subsea production control system layout considering hydraulic fluid pressure loss,” Ocean Engineering, vol. 288, p. 116047, 2023. doi: 10.1016/j.oceaneng.2023.116047.

[29] J. Wang, C. Hu, and D. Du et al., “Multi-objective optimization of multiphase pump by using computational fluid dynamics and nondominated sorting genetic algorithm II,” Renewable Energy, vol. 254, p. 123717, 2025. doi: 10.1016/j.renene.2025.123717.

[30] K. Mohammadi and S. Bagheri, “Prefabricated Broad-Crested Weirs: A Novel Sustainability Framework Integrating Hydraulic Optimization, Cost, and Embodied Carbon,” Water Conservation Science and Engineering, vol. 11, no. 1, p. 19, 2026. doi: 10.1007/s41101-026-00491-3.

[31] L. Zeng, D. Zhang, and Y.-H. et al., “A novel multi-objective optimization method based on enhanced hippopotamus optimization algorithm and Kriging model,” International Journal of Structural Integrity, vol. 16, no. 6, pp. 1331–1354, 2025. doi: 10.1108/IJSI-04-2025-0105.

[32] M. E. Johnson, L. M. Moore, and D. Ylvisaker, “Minimax and maximin distance designs,” J. Stat. Plan. Inference, vol. 26, no. 2, pp. 131–148, 1990. doi: 10.1016/0378-3758(90)90122-B.

Downloads

Published

2026-09-30

Issue

Section

Articles

How to Cite

[1]
Y. Cao, B. Zhang, J. Tian, J. Wu, H. Lu, and H. Chen, “Multi-objective optimization of parallel hydraulic flushing circuit based on NSGA-II”, Int. J. Automot. Mech. Eng., vol. 23, no. 3, p. In-Press, Sep. 2026, doi: 10.15282/ijame.23.3.2026.14.1050.