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Comparative Study of Adaptive Hamiltonian Control Laws for DC Microgrid Stabilization: An Fuel Cell Boost Converter

Damien Guilbert, Babak Nahid-Mobarakeh, Serge Pierfederici, Nicu Bizon, Pongsiri Mungporn, Phatiphat Thounthong

Abstract


Future smart grids can be seen as a system of interlinked microgrids, including small-scale local power systems. They consist of main power sources, external loads, and energy storage devices. In these microgrids, the negative incremental impedance behavior of constant power loads (CPLs) is of major concern since it can lead to instability and oscillations. To cope with this issue, this article aims to propose a comparative study of adaptive Hamiltonian control laws, also known as interconnection and damping–assignment–passivity–based controllers (IDA-PBC). These control laws are developed to ensure the stability of the DC output voltage of a boost converter supplied by a proton exchange membrane fuel cell (PEMFC) source. To validate the develop control laws, experiments have been performed on a fit test bench including a real 2.5 kW PEMFC stack (hydrogen is supplied by a reformer engine), a DC-DC step-up circuit, and a real-time controller dSPACE (implementation of the control laws). Moreover, a comparative study has been carried out between the proposed three adaptive Hamiltonian control laws and a classic linear cascaded proportional–integral (PI) control law. The obtained results by simulations through MATLAB/SimulinkTM and experimentally have allowed demonstrating that the third Hamiltonian control law presents the best performances over the other control laws.

Keywords



[1] F. M. Guangul and G. T. Chala, “A comparative study between the seven types of fuel cells,” Applied Science and Engineering Progress, vol. 13, no. 3, pp. 185–194, 2020, doi: 10.14416/j.asep. 2020.04.007.

[2] N. Bizon, P. Thounthong, and D. Guilbert, “Efficient operation of the hybrid power system using an optimal fueling strategy and control of the fuel cell power based on the required power tracking algorithm,” Sustainability, vol. 12, no. 22, p. 9690, Nov. 2020.

[3] K. Sankar, G. Saravanakumar, and A. K. Jana, “Nonlinear multivariable control of an integrated PEM fuel cell system with a DC-DC boost converter,” Chemical Engineering Research and Design, vol. 167, pp. 141–156, 2021.

[4] T. Lan and K. Strunz, “Modeling of multi-physics transients in PEM fuel cells using equivalent circuits for consistent representation of electric, pneumatic, and thermal quantities,” International Journal of Electrical Power & Energy Systems, vol. 119, p. 105803, Jul. 2020.

[5] N. Bizon and P. Thounthong, “Energy efficiency and fuel economy of a fuel cell/renewable energy sources hybrid power system with the loadfollowing control of the fueling regulators,” Mathematics, vol. 8, no. 2, p. 151, Jan. 2020.

[6] W. Jiang, X. Zhang, F. Guo, J. Chen, P. Wang, and L. H. Koh, “Large-signal stability of interleave boost converter system with constant power load using sliding-mode control,” IEEE Transactions on Industrial Electronics, vol. 67, no. 11, pp. 9450– 9459, Nov. 2020.

[7] F. Naseri, E. Farjah, Z. Kazemi, E. Schaltz, T. Ghanbari, and J. Schanen, “Dynamic stabilization of DC traction systems using a supercapacitorbased active stabilizer with model predictive control,” IEEE Transactions on Transportation Electrification, vol. 6, no. 1, pp. 228–240, Mar. 2020.

[8] P. Thounthong, P. Mungporn, S. Pierfederici, D. Guilbert, and N. Bizon, “Adaptive control of fuel cell converter based on a new Hamiltonian energy function for stabilizing the DC bus in DC microgrid applications,” Mathematics, vol. 8, no. 11, p. 2035, 2020.

[9] A. Kwasinski and C. N. Onwuchekwa, “Dynamic behavior and stabilization of dc microgrids with instantaneous constant-power loads,” IEEE Transactions on Power Electronics, vol. 26, no. 3, pp. 822–834, Mar. 2011.

[10] M. Cespedes, L. Xing, and J. Sun, “Constant-power load system stabilization by passive damping,” IEEE Transactions on Power Electronics, vol. 26, no. 7, pp. 1832–1836, Jul. 2011.

[11] S. Yousefizadeh, J. D. Bendtsen, N. Vafamand, M. H. Khooban, F. Blaabjerg, and T. Dragicevic, “Tracking control for a dc microgrid feeding uncertain loads in more electric aircraft: Adaptive backstepping approach,” IEEE Transactions on Industrial Electronics, vol. 66, no. 7, pp. 5644– 5652, Jul. 2019.

[12] Q. Xu, C. Zhang, Z. Xu, P. Lin, and P. Wang, “A composite finite-time controller for decentralized power sharing and stabilization of hybrid fuel cell/ supercapacitor system with constant power load,” IEEE Transactions on Industrial Electronics, vol. 68, no. 2, pp. 1388–1400, Feb. 2021.

[13] G. C. Konstantopoulos and A. T. Alexandridis, “Generalized nonlinear stabilizing controllers for Hamiltonian-passive systems with switching devices,” IEEE Transactions on Control Systems Technology, vol. 21, no. 4, pp. 1479–1488, Jul. 2013.

[14] R. V. Meshram, M. Bhagwat, S. Khade, S. R. Wagh, A. M. Stankovic, and N. M. Singh, “Port-controlled phasor Hamiltonian modeling and IDA-PBC control of solid-state transformer,” IEEE Transactions on Control Systems Technology, vol. 27, no. 1, pp. 161–174, Nov. 2018.

[15] P. Mungporn, B. Yodwong, P. Thounthong, C. Ekkaravarodome, A. Bilsalam, B. Nahid- Mobarakeh, S. Pierfederici, D. Guilbert, N. Bizon, S. Khomfoi, P. Kumam, Z. Shah, and P. Burikham, “Study of Hamiltonian energy control of multiphase interleaved fuel cell boost converter,” in Research, Invention, and Innovation Congress (RI2C), 2019, pp. 1–6, doi: 10.1109/RI2C48728.2019.8999956.

[16] S. Pang, B. Nahid-Mobarakeh, S. Pierfederici, M. Phattanasak, Y. Huangfu, G. Luo, and F. Gao, “Interconnection and damping assignment passivity-based control applied to on-board DC– DC power converter system supplying constant power load,” IEEE Transactions on Industry Applications, vol. 55, no. 6, pp. 6476–6485, 2019.

[17] W. He, R. Ortega, J. E. Machado, and S. H. Li, “An adaptive passivity-based controller of a buck-boost converter with a constant power load,” Asian Journal of Control, vol. 21, no. 2, pp. 581–595, Mar. 2018.

[18] C. A. Soriano-Rangel, W. He, F. Mancilla-David, and R. Ortega, “Voltage regulation in buck–boost converters feeding an unknown constant power load: An adaptive passivity-based control,” IEEE Transactions on Control Systems Technology, vol. 29, no. 1, pp. 395–402, Jan. 2021.

[19] P. Thounthong, P. Mungporn, S. Pierfederici, D. Guilbert, N. Takorabet, B. Nahid-Mobarakeh, Y. Hu, N. Bizon, Y. Huangfu, P. Kumam, and P. Burikham, “Robust Hamiltonian-energy control based on lyapunov function for four-phase parallel fuel cell boost converter for DC microgrid applications,” IEEE Transactions on Sustainable Energy, vol. 12, no. 3, pp. 1500–1511, doi: 10.1109/ TSTE.2021.3050783.

[20] P. Mungporn, B. Yodwong, P. Thounthong, B. Nahid-Mobarakeh, N. Takorabet, D. Guilbert, P. Kumam, N. Bizon, and C. Kaewprapha, “Model-free control of multiphase interleaved boost converter for fuel cell/reformer power generation,” in Research, Invention, and Innovation Congress (RI2C), 2019, pp. 1–6, doi: 10.1109/ RI2C48728.2019.8999919.

[21] W. Thammasiriroj, P. Mungporn, B. Nahid- Mobarakeh, S. Pierfederici, N. Bizon, and P. Thounthong, “Comparative study of model-based control of energy/current cascade control for a multiphase interleaved fuel cell boost converter,” in International Conference on Power, Energy and Innovations (ICPEI), 2020, pp. 244–248, doi: 10.1109/ICPEI49860.2020.9431490.

[22] C. Gu, H. Yan, J. Yang, G. Sala, D. D. Gaetano, X. Wang, A. Galassini, M. Degano, X. Zhang, and G. Buticchi, “A multiport power conversion system for the more electric aircraft,” IEEE Transactions on Transportation Electrification, vol. 6, no. 4, pp. 1707–1720, Dec. 2020.

[23] Y. Gao, T. Yang, S. Bozhko, P. Wheeler, and T. Dragičević, “Filter design and optimization of electromechanical actuation systems using search and surrogate algorithms for more-electric aircraft applications,” IEEE Transactions on Transportation Electrification, vol. 6, no. 4, pp. 1434–1447, Dec. 2020.

[24] Y. Wang, S. Nuzzo, H. Zhang, W. Zhao, C. Gerada, and M. Galea, “Challenges and opportunities for wound field synchronous generators in future more electric aircraft,” IEEE Transactions on Transportation Electrification, vol. 6, no. 4, pp. 1466–1477, Dec. 2020.

[25] M. M. Mahfouz and M. R. Iravani, “Grid-integration of battery-enabled DC fast charging station for electric vehicles,” IEEE Transactions on Energy Conversion, vol. 35, no. 1, pp. 375–385, Mar. 2020.

[26] H. Tao, H. Hu, X. Zhu, Y. Zhou, and Z. He, “Harmonic instability analysis and suppression method based on αβ- frame impedance for trains and network interaction system,” IEEE Transactions on Energy Conversion, vol. 34, no. 2, pp. 1124– 1134, Jun. 2019.

[27] A. Tawai, K. Kitsubthawee, C. Panjapornpon, and W. Shao, “Hybrid control scheme for anaerobic digestion in a CSTR-UASB reactor system,” Applied Science and Engineering Progress, vol. 13, no. 3, pp. 213−223, 2019, doi: 10.14416/j.asep. 2020.06.004.

[28] T. Srihawan and C. Panjapornpon, “Inputoutput linearizing control of strong acid-base neutralization processwith fluctuation in feed pH,” Applied Science and Engineering Progress, vol. 13, no. 4, pp. 327−335, Dec. 2019, doi: 10.14416/j.asep.2019.02.004.

[29] S. Sriprang, B. Nahid-Mobarakeh, N. Takorabet, S. Pierfederici, N. Bizon, P. Kuman, and P. Thounthong, “Permanent magnet synchronous motor dynamic modeling with state observer-based parameter estimation for AC servomotor drive application,” Applied Science and Engineering Progress, vol. 12, no. 4, pp. 286−297, 2019, doi: 10.14416/j.asep.2019.11.001.

[30] S. Pang, B. Nahid-Mobarakeh, S. A. Hashjin, S. Pierfederici, J.-P. Martin, Y. Liu, Y. Huangfu, G. Luo, and F. Gao, “Stability improvement of cascaded power conversion systems based on Hamiltonian energy control theory,” IEEE Transactions on Industry Applications, vol. 57, no. 1, pp. 1081–1093, 2021.

[31] P. Thounthong, P. Mungporn, D. Guilbert, N. Takorabet, S. Pierfederici, B. Nahid-Mobarakeh, Y. Hu, N. Bizon, Y. Huangfu, and P. Kumam, “Design and control of multiphase interleaved boost 516converters-based on differential flatness theory for PEM fuel cell multi-stack applications,” International Journal of Electrical Power & Energy Systems, vol. 124, Jan. 2021, doi: 10.1109/ TTE.2020.2980193.

[32] M. Komatsu, S. Terakawa, and T. Yaguchi, “Energetic-property-preserving numerical schemes for coupled natural systems,” Mathematics, vol. 8, no. 2, p. 249, Feb. 2020.

[33] X. Lin, L. Sun, P. Ju, and H. Li, “Stochastic control for intra-region probability maximization of multi-machine power systems based on the quasi-generalized Hamiltonian theory,” Energies, vol. 13, no. 1, p. 167, Dec. 2019.

[34] A. Liu and H. Yu, “Smooth-switching control of robot-based permanent-magnet synchronous motors via port-controlled Hamiltonian and feedback linearization,” Energies, vol. 13, no. 21, p. 5731, Nov. 2020.

[35] T. Pham, I. Prodan, D. Genon-Catalot, and L. Lefèvre, “Economic constrained optimization for power balancing in a DC microgrid: A multisource elevator system application”, International Journal of Electrical Power & Energy Systems, vol. 118, p. 105753, 2020.

[36] W. Gil-González, O. Montoya, and A. Garces, “Direct power control for VSC-HVDC systems: An application of the global tracking passivitybased PI approach”, International Journal of Electrical Power & Energy Systems, vol. 110, pp. 588–597, 2019.

[37] B. Wang, Z. Tang, W. Liu, and Q. Zhang, “A distributed cooperative control strategy of offshore wind turbine groups with input time delay,” Sustainability, vol. 12, no. 7, p. 3032, Apr. 2020.

[38] P. Zhou, R. Yang, G. Zhang, and Y. Han, “Adaptive robust simultaneous stabilization of two dynamic positioning vessels based on a port-controlled Hamiltonian (PCH) model,” Energies, vol. 12, no. 20, p. 3936, Oct. 2019.

[39] P. Mungporn, P. Thounthong, B. Yodwong, C. Ekkaravarodome, A. Bilsalam, S. Pierfederici, D. Guilbert, B. Nahid-Mobarakeh, N. Bizon, Z. Shah, S. Khomfoi, P. Kumam, and P. Burikham, “Modeling and control of multiphase interleaved fuel cell boost converter based on Hamiltonian control theory for transportation applications,” IEEE Transactions on Transportation Electrification, vol. 6, no. 2, pp. 519–529, Jun. 2020.

[40] O. Montoya, W. Gil-González, and A. Garces, “Distributed energy resources integration in single-phase microgrids: An application of IDAPBC and PI-PBC approaches,” International Journal of Electrical Power & Energy Systems, vol. 112, pp. 221–231, 2019.

[41] B. Wang, Z. Tang, X. Gao, W. Liu, and X. Chen, “Distributed control strategy of the leader-follower for offshore wind farms under fault conditions,” Sustainability, vol. 11, no. 8, p. 2290, Apr. 2019.

[42] P. Thounthong, B. Nahid-Mobarakeh, S. Pierfederici, P. Mungporn, N. Bizon, and P. Kumam, “Hamiltonian control law based on lyapunov–energy function for four-phase parallel fuel cell boost converter,” in 2020 International Conference on Power, Energy and Innovations (ICPEI), 2020, pp. 255– 260, doi: 10.1109/ICPEI49860.2020.9431392.
[43] P. Thounthong, “Port–Hamiltonian formulation of adaptive PI controller for constant power load stability issue: Case study for multiphase fuel cell converters,” in 2021 9th International Electrical Engineering Congress (iEECON), 2021, pp. 193– 196, doi: 10.1109/iEECON51072.2021.9440316.
[44] L. Harnefors, R. Finger, X. Wang, H. Bai, and F. Blaabjerg, “VSC input-admittance modeling and analysis above the nyquist frequency for passivity-based stability assessment,” IEEE Transactions on Industrial Electronics, vol. 64, no. 8, pp. 6362–6370, 2017.

[45] L. Harnefors, A. Yepes, A. Vidal, and J. Doval- Gandoy, “Passivity-based controller design of grid-connected VSCs for prevention of electrical resonance instability,” IEEE Transactions on Industrial Electronics, vol. 62, no. 2, pp. 702–710, 2015.

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DOI: 10.14416/j.asep.2021.10.005

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