Meisam Moory Shirbani, Sayed Ehsan Alavi

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This study thoroughly investigates the multi-objective optimization of a magneto-electro-elastic (MEE) harvester in bimorph configurations and by the new method of Harris Hawk’s optimization (HHO). The harvesters are configured in both series and parallel connections and under harmonic excitation to explore the effects of various parameters on the performance of the harvesting system. The primary objective is to maximize the total harvested power. Optimization involves various parameters, including dimensions, relative displacement changes, voltage, and current values. The Pareto fronts from the HHO method reveal optimal points in different configurations and scenarios. Notably, the optimal points are selected based on the criterion of maximum total power. The results reveal distinct optimal points for each objective function, demonstrating trade-offs between performance metrics. These findings provide valuable insights into the design and operation of efficient energy harvesters in MEE systems. The parallel configuration outperforms the series connection in terms of the current generation. Moreover, the evaluation of the overall performance of the energy harvesters in terms of total harvested power indicated that both series and parallel connections could lead to promising outcomes. However, the series connection exhibited a more dominant effect on maximizing the total harvested power, proving its relevance in pursuing the highest possible power output.


Multi-objective optimization, MEE harvester, Harris Hawk’s optimization (HHO), Series and parallel connections

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Wei, C., Jing, X., 2017, A comprehensive review on vibration energy harvesting: modelling and realization, Renewable and Sustainable Energy Reviews, 74, pp. 1-18.

Wang, J., Geng, L., Ding, L., Zhu, H., Yurchenko, D., 2020, The state-of-the-art review on energy harvesting from flow-induced vibrations, Applied Energy, 267, 11490.

Yang, T., Zhou, S., Fang, S., Qin, W., Inman, D.J., 2021, Nonlinear vibration energy harvesting and vibration suppression technologies: designs, analysis, and applications, Applied Physics Reviews, 8(3), 031317.

Safaei, M., Sodano, H.A., Anton, S.R., 2019, A review of energy harvesting using piezoelectric materials: state-of-the-art a decade later (2008–2018), Smart Materials and Structures, 28(11), 113001.

Covaci, C., Gontean, A., 2020, Piezoelectric energy harvesting solutions: A review, Sensors, 20(12), 3512.

Milić P., Marinković D., Klinge S., Ćojbašić Ž., 2023, Reissner-Mindlin Based Isogeometric Finite Element Formulation for Piezoelectric Active Laminated Shells, Tehnicki Vjesnik, 30(2), pp. 416-425.

Shirbani, M.M., Shishesaz, M., Hajnayeb, A., Sedighi, H.M., 2018, Design and analytical modeling of magneto-electro-mechanical characteristics of a novel magneto-electro-elastic vibration-based energy harvesting system, Journal of Sound and Vibration, 425, pp. 149-169.

Siddharth Mangalasseri, A., Mahesh, V., Ponnusami, S.A., Harursampath, D., 2023, Investigation on the interphase effects on the energy harvesting characteristics of three phase magneto-electro-elastic cantilever beam, Mechanics of Advanced Materials and Structures, 30(13), pp. 2735-2747.

Xu, J., Tat, T., Zhao, X., Xiao, X., Zhou, Y., Yin, J., Chen, K., Chen, J., 2023, Spherical magnetoelastic generator for multidirectional vibration energy harvesting, ACS Nano, 17(4), pp. 3865-3872.

Soliman, M.S.M., Abdel-Rahman, E.M., El-Saadany, E.F., Mansour, R.R., 2008, A wideband vibration-based energy harvester, Journal of Micromechanics and Microengineering, 18(11), 115021.

Wu, Y., Qiu, J., Zhou, S., Ji, H., Chen, Y., Li, S., 2018, A piezoelectric spring pendulum oscillator used for multi-directional and ultra-low frequency vibration energy harvesting, Applied Energy, 231, pp. 600-614.

Wang, Z., Du, Y., Li, T., Yan, Z., Tan, T., 2021, A flute-inspired broadband piezoelectric vibration energy harvesting device with mechanical intelligent design, Applied Energy, 303, 117577.

Abdelkareem, M.A., Jing, X., Eldaly, A.B.M., Choy, Y., 2023, 3-DOF X-structured piezoelectric harvesters for multidirectional low-frequency vibration energy harvesting, Mechanical Systems and Signal Processing, 200, 110616.

Roundy, S., Wright, P.K., Rabaey, J., 2003, A study of low-level vibrations as a power source for wireless sensor nodes, Computer Communications, 26(11), pp. 1131-1144.

De Marqui Júnior, C., Erturk, A., Inman, D.J., 2009, Modelling and analysis of cantilevered piezoelectric energy harvesters, In Proceedings of COBEM, pp. 41-77.

Erturk, A., Inman, D.J., 2009, An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations, Smart Materials and Structures, 18(2), 025009.

Anton, S.R., Farinholt, K.M., Erturk, A., 2014, Piezoelectric foam–based vibration energy harvesting, Journal of Intelligent Material Systems and Structures, 25(14), pp. 1681-1692.

Zhang, Z., Lin, S., Gu, Y., Zhang, L., Wang, S., Zhai, S., Kan, J., 2023, Design and characteristic analysis of a novel deformation-controllable piezoelectric vibration energy harvester for low frequency, Energy Conversion and Management, 286, 117016.

Vinyas, M., 2021, Computational analysis of smart magneto-electro-elastic materials and structures: review and classification, Archives of Computational Methods in Engineering, 28(3), pp. 1205-1248.

Zaheri Abdehvand, M., Seyed Roknizadeh, S.A., Sedighi, H.M., 2021, Parametric study of a novel magneto-electro-aeroelastic energy harvesting system, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 235(9), pp. 2100-2111.

Zhou, L., Qu, F., 2023, The magneto-electro-elastic coupling isogeometric analysis method for the static and dynamic analysis of magneto-electro-elastic structures under thermal loading, Composite Structures, 315, 116984.

Shirbani, M.M., Shishehsaz, M., 2023, Modelling of a novel magneto-electro-elastic energy harvesting system subjected to applied electric voltage with simultaneous use as an electrical actuator system, Iranian (Iranica) Journal of Energy and Environment, 14(2), pp. 168-176.

Alavi, S.E., Shirbani, M.M., Hassani, A.M., 2023, Analytical investigation of the effect of temperature difference between layers of unimorph piezoelectric harvesters, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, pp. 1-14.

Sarker, M.R., Julai, S., Sabri, M.F.M., Said, S.M., Islam, M.M., Tahir, M., 2019, Review of piezoelectric energy harvesting system and application of optimization techniques to enhance the performance of the harvesting system, Sensors and Actuators A: Physical, 300, 111634.

Mavrovouniotis, M., Li, C., Yang, S., 2017, A survey of swarm intelligence for dynamic optimization: Algorithms and applications, Swarm and Evolutionary Computation, 33, pp. 1-17.

Alavi, S.E., Shirbani, M.M., Tondro, M.K., 2023, Exergy-economic optimization of gasket-plate heat exchangers, Journal of Computational Applied Mechanics, 54(2), pp. 254-267.

Heidari, A.A., Mirjalili, S., Faris, H., Aljarah, I., Mafarja, M., Chen, H., 2019, Harris hawk’s optimization: Algorithm and applications, Future Generation Computer Systems, 97, pp. 849-872.

Abbasi, A., Firouzi, B., Sendur, P., 2021, On the application of Harris hawk’s optimization (HHO) algorithm to the design of microchannel heat sinks, Engineering with Computers, 37, pp. 1409-1428.

Dhawale, D., Kamboj, V.K., Anand, P., 2023, Optimum generation scheduling incorporating wind energy using HHO–IGWO algorithm, Journal of Electrical Systems and Information Technology, 10, 1.



ISSN: 0354-2025 (Print)

ISSN: 2335-0164 (Online)

COBISS.SR-ID 98732551

ZDB-ID: 2766459-4