Efficient energy management for an elevator system under a constrained optimization framework

Authors

Thanh Hung Pham, Ionela Prodan, Denis Genon-Catalot, Laurent Lefevre

Abstract

This paper addresses the challenging energy management problem of a DC-microgrid elevator system using a coherent combination between port-Hamiltonian approach for physical system modeling, differential flatness for profiles generation and predictive control for taking into account constraints, optimization costs and reference profiles. The microgrid connected to a three-phase utility grid includes a mechanical part, a Salient Permanent Magnet Synchronous Machine (SPMSM), an energy storage unit, a super-capacitor, a solar panel (PV) generation unit as well as the corresponding converters to DC-links. We will concentrate here on the microgrid’s mechanical part connected to the synchronous machine. More precisely, a constrained predictive control combined with differential flatness is employed for efficiently manage the dissipative energy. First, optimal profiles of both the stator currents and rotor speed are provided using flat trajectory generation. Next, a constrained Model Predictive Control (MPC) optimization problem is formulated in order to satisfy the a priori given profiles. Comparison and simulation results validate the benefits of the proposed approach.

Citation

• Journal: 2015 19th International Conference on System Theory, Control and Computing (ICSTCC)
• Year: 2015
• Volume:
• Issue:
• Pages:
• Publisher: IEEE
• DOI: 10.1109/icstcc.2015.7321361

BibTeX

@inproceedings{Pham_2015,
  title={{Efficient energy management for an elevator system under a constrained optimization framework}},
  DOI={10.1109/icstcc.2015.7321361},
  booktitle={{2015 19th International Conference on System Theory, Control and Computing (ICSTCC)}},
  publisher={IEEE},
  author={Pham, Thanh Hung and Prodan, Ionela and Genon-Catalot, Denis and Lefevre, Laurent},
  year={2015}
}

Download the bib file

References

• Bernat, J., Kolota, J., Stepien, S. & Szymanski, G. Adaptive control of permanent magnet synchronous motor with constrained reference current exploiting backstepping methodology. 2014 IEEE Conference on Control Applications (CCA) 1545–1550 (2014) doi:10.1109/cca.2014.6981544 – 10.1109/cca.2014.6981544
• Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38, 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
• Petrovic, V., Ortega, R. & Stankovi, A. M. Interconnection and damping assignment approach to control of PM synchronous motors. IEEE Trans. Contr. Syst. Technol. 9, 811–820 (2001) – 10.1109/87.960344
• rawlings, Model Predictive Control Theory and Design (2009)
• Bolognani, S., Bolognani, S., Peretti, L. & Zigliotto, M. Design and Implementation of Model Predictive Control for Electrical Motor Drives. IEEE Trans. Ind. Electron. 56, 1925–1936 (2009) – 10.1109/tie.2008.2007547
• doná, A flatness-iterative method for reference trajectory generation in constrained nmpc. Proc IFAC Workshop Nonlinear Model Predictive Control - Assessment and Future Directions (2009)
• suryawan, Constrained trajectory generation and fault tolerant control based on differential flatness and b-splines. (2011)
• Aoues, S., Eberard, D. & Marquis-Favre, W. Canonical interconnection of discrete linear port-Hamiltonian systems. 52nd IEEE Conference on Decision and Control 3166–3171 (2013) doi:10.1109/cdc.2013.6760366 – 10.1109/cdc.2013.6760366
• van der Schaft, A. & Jeltsema, D. Port-Hamiltonian Systems Theory: An Introductory Overview. FnT in Systems and Control 1, 173–378 (2014) – 10.1561/2600000002
• Pham, T. H., Lefevre, L., Genon-Catalot, D. & Pham, V. T. An energy-based control model for autonomous lifts. IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society 4286–4292 (2014) doi:10.1109/iecon.2014.7049147 – 10.1109/iecon.2014.7049147
• Botan, C., Ratoi, M., Ostafi, F. & Horga, V. Minimum energy control of servo drive systems with PMSM. SPEEDAM 2010 19–23 (2010) doi:10.1109/speedam.2010.5542403 – 10.1109/speedam.2010.5542403
• lemmens, Pmsm drive current and voltage limiting as a constraint optimal control problem. accepted for the IEEE Journal of Emerging and Selected Topics in Power Electronics (2014)
• Chen, K.-Y., Huang, M.-S. & Fung, R.-F. Adaptive Minimum-Energy Tracking Control for the Mechatronic Elevator System. IEEE Trans. Contr. Syst. Technol. 25, 1790–1799 (2017) – 10.1109/tcst.2013.2278408
• Vittek, J., Bris, P., Butko, P. & Fedor, T. Energy saving position control of PMSM drives with constant, linear and quadratic frictions. 2014 International Conference on Optimization of Electrical and Electronic Equipment (OPTIM) 239–244 (2014) doi:10.1109/optim.2014.6850966 – 10.1109/optim.2014.6850966
• Parisio, A., Rikos, E. & Glielmo, L. A Model Predictive Control Approach to Microgrid Operation Optimization. IEEE Trans. Contr. Syst. Technol. 22, 1813–1827 (2014) – 10.1109/tcst.2013.2295737
• Prodan, I. & Zio, E. A model predictive control framework for reliable microgrid energy management. International Journal of Electrical Power & Energy Systems 61, 399–409 (2014) – 10.1016/j.ijepes.2014.03.017
• Mardaneh, M., Bavafa, F., Alavi, S. M. S. & Sadeghi, M. S. Nonlinear PI controller for interior permanent magnet synchronous motor drive. The 2nd International Conference on Control, Instrumentation and Automation 225–230 (2011) doi:10.1109/icciautom.2011.6356660 – 10.1109/icciautom.2011.6356660