Skip to main content
SpringerLink
Log in

Interconnection and damping assignment and Euler-Lagrange passivity-based control of photovoltaic/battery hybrid power source for stand-alone applications

  • Published:
Journal of Zhejiang University SCIENCE C Aims and scope Submit manuscript

Abstract

A DC hybrid power source composed of photovoltaic cells as the main power source, Li-ion battery storage as the secondary power source, and power electronic interface, is modeled based on port-controlled Hamiltonian systems and Euler-Lagrange framework. Subsequently, passivity-based controllers are synthesized. Local asymptotic stability is ensured as well. In addition, a power management system is designed to manage power flow between components. Modeling and simulation of the proposed hybrid power source is accomplished using MATLAB/Simulink. Our interest is focused on the comparison of the two passivity-based control methods and their use in hybrid power systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Ayad, M.Y., Becherif, M., Henni, A., Aboubou, A., Wack, M., Laghrouche, S., 2010. Passivity-based control applied to DC hybrid power source using fuel cell and super-capacitors. Energy Conv. Manag., 51(7):1468–1475. [doi:10.1016/j.enconman.2010.01.023]

    Article  Google Scholar 

  • Becherif, M., Paire, D., Miraoui, A., 2007. Energy Management of Solar Panel and Battery System with Passive Control. Int. Conf. on Clean Electrical Power, p.14–19. [doi:10.1109/ICCEP.2007.384179]

  • Carrasco, J.M., Franquelo, L.G., Bialasiewicz, J.T., Galván, E., Guisado, R.C.P., Prats, M.Á.M., León, J.I., Moreno-Alfonso, N., 2006. Power-electronic systems for the grid integration of renewable energy sources: a survey. IEEE Trans. Ind. Electron., 53(4):1002–1016. [doi:10.1109/TIE.2006.878356]

    Article  Google Scholar 

  • Chen, M., Rincon-Mora, G.A., 2006. Accurate electrical battery model capable of predicting runtime and I–V performance. IEEE Trans. Energy Conv., 21(2):504–511. [doi:10.1109/TEC.2006.874229]

    Article  Google Scholar 

  • Dali, M., Belhadj, J., Roboam, X., 2010. Hybrid solar-wind system with battery storage operating in grid-connected and standalone mode: control and energy management—experimental investigation. Energy, 35(6):2587–2595. [doi:10.1016/j.energy.2010.03.005]

    Article  Google Scholar 

  • Dalsmo, M., van der Schaft, A., 1998. On representations and integrability of mathematical structures in energyconserving physical systems. SIAM J. Control Optim., 37(1):54–91. [doi:10.1137/S0363012996312039]

    Article  Google Scholar 

  • Dòria-Cerezo, A., 2006. Modeling, Simulation and Control of a Doubly-Fed Induction Machine Controlled by a Backto-Back Converter. PhD Thesis, Technical University of Catalonia, Spain.

    Google Scholar 

  • Durr, M., Cruden, A., Gair, S., McDonald, J.R., 2006. Dynamic model of a lead acid battery for use in a domestic fuel cell system. J. Power Sources, 161(2):1400–1411. [doi:10.1016/j.jpowsour.2005.12.075]

    Article  Google Scholar 

  • Duryea, S., Isalm, S., Lawrance, W., 2001. A battery management system for stand-alone photovoltaic energy systems. IEEE Ind. Appl. Mag., 7(3):67–72. [doi:10.1109/2943.922452]

    Article  Google Scholar 

  • El-Shatter, T.F., Eskander, M.N., El-Hagry, M.T., 2006. Energy flow and management of a hybrid wind/PV/fuel cell generation system. Energy Conv. Manag., 47(9–10):1264–1280. [doi:10.1016/j.enconman.2005.06.022]

    Article  Google Scholar 

  • Escobar, G., Ortega, R., Sira-Ramirez, H., Vilain, J.P., Zein, I., 1999. An experimental comparison of several nonlinear controllers for power converters. IEEE Control Syst. Mag., 19(1):66–82. [doi:10.1109/37.745771]

    Article  Google Scholar 

  • Esram, T., Chapman, P.L., 2007. Comparison of photovoltaic array maximum power point tracking techniques. IEEE Trans. Energy Conv., 22(2):439–449. [doi:10.1109/TEC.2006.874230]

    Article  Google Scholar 

  • Glavin, M.E., Chan, P.K.W., Armstrong, S., Hurley, W.G., 2008. A Stand-Alone Photovoltaic Supercapacitor Battery Hybrid Energy Storage System. 13th Int. Power Electronics and Motion Control Conf., p.1688–1695. [doi:10.1109/EPEPEMC.2008.4635510]

  • Golkar, M.A., Hajizadeh, A., 2009. Control strategy of hybrid fuel cell/battery distributed generation system for gridconnected operation. J. Zhejiang Univ.-Sci. A, 10(4):488–496. [doi:10.1631/jzus.A0820151]

    Article  MATH  Google Scholar 

  • Jeong, K.S., Lee, W.Y., Kim, C.S., 2005. Energy management strategies of a fuel cell/battery hybrid system using fuzzy logics. J. Power Sources, 145(2):319–326. [doi:10.1016/j.jpowsour.2005.01.076]

    Article  MathSciNet  Google Scholar 

  • Jiang, Z., Gao, L., Dougal, R.A., 2007. Adaptive control strategy for active power sharing in hybrid fuel cell/battery power sources. IEEE Trans. Energy Conv., 22(2): 507–515. [doi:10.1109/TEC.2005.853747]

    Article  Google Scholar 

  • Khateeb, S.A., Farid, M.M., Selman, J.R., Al-Hallaj, S., 2006. Mechanical-electrochemical modeling of Li-ion battery designed for an electric scooter. J. Power Sources, 158(1):673–678. [doi:10.1016/j.jpowsour.2005.09.059]

    Article  Google Scholar 

  • Kim, D.E., Lee, D.C., 2007. Feedback Linearization Control of Three-Phase AC/DC PWM Converters with LCL Input Filters. 7th Int. Conf. on Power Electronics, p.766–771. [doi:10.1109/ICPE.2007.4692491]

  • Kim, I.S., Kim, M.B., Youn, M.J., 2006. New maximum power point tracker using sliding-mode observer for estimation of solar array current in the grid-connected photovoltaic system. IEEE Trans. Ind. Electron., 53(4):1027–1035. [doi:10.1109/TIE.2006.878331]

    Article  Google Scholar 

  • Komurcugil, H., 2010. Steady-state analysis and passivitybased control of single-phase PWM current-source inverters. IEEE Trans. Ind. Electron., 57(3):1026–1030. [doi:10.1109/TIE.2009.2025297]

    Article  Google Scholar 

  • Koutroulis, E., Kalaitzakis, K., Voulgaris, N.C., 2001. Development of a microcontroller based, photovoltaic maximum power point tracking control system. IEEE Trans. Power Electron., 16(1):46–54. [doi:10.1109/63.903988]

    Article  Google Scholar 

  • Kwasinski, A., Krein, P.T., 2007. Passivity-Based Control of Buck Converters with Constant-Power Loads. IEEE Power Electronics Specialists Conf., p.259–265. [doi:10.1109/PESC.2007.4341998]

  • Kwon, J.M., Nam, K.H., Kwon, B.H., 2006. Photovoltaic power conditioning system with line connection. IEEE Trans. Ind. Electron., 53(4):1048–1054. [doi:10.1109/TIE.2006.878329]

    Article  Google Scholar 

  • Kwon, J.M., Kwon, B.H., Nam, K.H., 2008. Three-phase photovoltaic system with three-level boosting MPPT control. IEEE Trans. Power Electron., 23(5):2319–2327. [doi:10.1109/TPEL.2008.2001906]

    Article  Google Scholar 

  • Lagorse, J., Paire, D., Miraoui, A., 2009. Sizing optimization of a stand-alone street lighting system powered by a hybrid system using fuel cell, PV and battery. Renew. Energy, 34(3):683–691. [doi:10.1016/j.renene.2008.05.030]

    Article  Google Scholar 

  • Lee, T.S., 2004. Lagrangian modeling and passivity-based control of three-phase AC/DC voltage-source converters. IEEE Trans. Ind. Electron., 51(4):892–902. [doi:10.1109/TIE.2004.831753]

    Article  Google Scholar 

  • Leyva, R., Cid-Pastor, A., Alonso, C., Queinnec, I., Tarbouriech, S., Martinez-Salamero, L., 2006. Passivitybased integral control of a boost converter for large-signal stability. IEE Proc.-Control Theory Appl., 153(2):139–146. [doi:10.1049/ip-cta:20045223]

    Article  Google Scholar 

  • Lu, D.D.C., Agelidis, V.G., 2009. Photovoltaic-batterypowered DC bus system for common portable electronic devices. IEEE Trans. Power Electron., 24(3):849–855. [doi:10.1109/TPEL.2008.2011131]

    Article  Google Scholar 

  • Márquez-Contreras, R., Rodríguez-Cortés, H., Spinetti-Rivera, M., 2008. Revisiting IDA-PBC, Open-Loop Control, and Modeling for the Boost DC-DC Power Converter. Latin American Congress of Automatic Control.

  • Mazumder, S.K., Nayfeh, A.H., Borojevic, D., 2002. Robust control of parallel DC-DC buck converters by combining integral-variable-structure and multiple-sliding-surface control schemes. IEEE Trans. Power Electron., 17(3): 428–437. [doi:10.1109/TPEL.2002.1004251]

    Article  Google Scholar 

  • Moreno, J., Ortúzar, M.E., Dixon, J.W., 2006. Energymanagement system for a hybrid electric vehicle, using ultracapacitors and neural networks. IEEE Trans. Ind. Electron., 53(2):614–623. [doi:10.1109/TIE.2006.870880]

    Article  Google Scholar 

  • Ortega, R., Loria, A., Nicklasson, P.J., Sira-Ramirez, H., 1998. Passivity Based Control of Euler-Lagrange Systems: Mechanical, Electrical and Electrochemical Applications. Springer-Verlag, London, UK.

    Google Scholar 

  • Ortega, R., van der Schaft, A., Maschke, B., Escobar, G., 2002. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica, 38(4):585–596. [doi:10.1016/S0005-1098(01)00278-3]

    Article  MathSciNet  MATH  Google Scholar 

  • Scarpa, V., Buso, S., Spiazzi, G., 2009. Low-complexity MPPT technique exploiting the PV module MPP locus characterization. IEEE Trans. Ind. Electron., 56(5):1531–1538. [doi:10.1109/TIE.2008.2009618]

    Article  Google Scholar 

  • Scherpen, J.M.A., Jeltsema, D., Klaassens, J.B., 2003. Lagrangian modeling of switching electrical networks. Syst. Control Lett., 48(5):365–374. [doi:10.1016/S0167-6911(02)00290-6]

    Article  MathSciNet  MATH  Google Scholar 

  • Sebastian, R., Quesada, J., 2006. Distributed control system for frequency control in an isolated wind system. Renew. Energy, 31(3):285–305. [doi:10.1016/j.renene.2005.04.003]

    Article  Google Scholar 

  • Sera, D., Kerekes, T., Teodorescu, R., Blaabjerg, F., 2006. Improved MPPT Algorithms for Rapidly Changing Environmental Conditions. 12th Int. Conf. on Power Electronics and Motion Control, p.1614–1619. [doi:10.1109/EPEPEMC.2006.4778635]

  • Sira-Ramirez, H., Ortega, R., Garcia-Esteban, M., 1998. Adaptive passivity-based control of average DC-to-DC power converter models. Int. J. Adapt. Control Signal Process., 12(1):63–80. [doi:10.1002/(SICI)1099-1115(199802)12:1〈63::AID-ACS467〉3.0.CO;2-#]

    Article  MathSciNet  MATH  Google Scholar 

  • Timbus, A., Liserre, M., Teodorescu, R., Rodriguez, P., Blaabjerg, F., 2009. Evaluation of current controllers for distributed power generation systems. IEEE Trans. Power Electron., 24(3):654–664. [doi:10.1109/TPEL.2009.2012527]

    Article  Google Scholar 

  • Uzunoglu, M., Onar, O.C., Alam, M.S., 2009. Modeling, control and simulation of a PV/FC/UC based hybrid power generation system for stand-alone applications. Renew. Energy, 34(3):509–520. [doi:10.1016/j.renene.2008.06.009]

    Article  Google Scholar 

  • Vmquez, N., Hernandez, C., Alvarez, J., Arau, J., 2003. Sliding Mode Control for DC/DC Converters: a New Sliding Surface. Int. Symp. on Industrial Electronics, p.422–426.

  • Walker, G., 2001. Evaluating MPPT converter topologies using a Matlab PV model. J. Electr. Electron. Eng. Aust., 21(1):49–56.

    Google Scholar 

  • Wang, P., Wang, J., Xu, Z., 2008. Passivity-Based Control of Three Phase Voltage Source PWM Rectifiers Based on PCHD Model. Int. Conf. on Electrical Machines and Systems, p.1126–1130.

  • Wang, Z., Chang, L., 2008. A DC voltage monitoring and control method for three-phase grid-connected wind turbine inverters. IEEE Trans. Power Electron., 23(3):1118–1125. [doi:10.1109/TPEL.2008.921174]

    Article  Google Scholar 

  • Yu, D., Yuvarajan, S., 2006. Load Sharing in a Hybrid Power Source with a PV Panel and PEM Fuel-Cell. 21st Annual IEEE Conf. and Exposition on Applied Power Electronics, p.1245–1249. [doi:10.1109/APEC.2006.1620698]

Download references

Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Pardis Branch, Islamic Azad University, Pardis, Iran

    Ali Tofighi

  2. Center of Excellence for Power System Automation and Operation, Department of Electrical Engineering, Iran University of Science and Technology, Tehran, Iran

    Ali Tofighi & Mohsen Kalantar

Authors
  1. Ali Tofighi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohsen Kalantar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ali Tofighi.

Additional information

Project supported by Iran University of Science and Technology, Iran

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tofighi, A., Kalantar, M. Interconnection and damping assignment and Euler-Lagrange passivity-based control of photovoltaic/battery hybrid power source for stand-alone applications. J. Zhejiang Univ. - Sci. C 12, 774–786 (2011). https://doi.org/10.1631/jzus.C1000368

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.C1000368

Key words

CLC number

Search

Navigation