Robust control of a DC-DC three-port isolated converter

This work presents the design of state-feedback robust control law for a DC-DC three-port isolated converter, which interfaces a photovoltaic panel, a rechargeable battery, and an isolated output DC bus. First, the converter is represented through a state-space model that considers disturbances in both the photovoltaic and bidirectional (battery) input ports. The system is linearized around an average operational point, such that robust control techniques can be applied. Due to varying solar irradiation, battery charge, and load levels, the converter is subjected to step-like disturbances. The proposed controller is designed to maintain stabilization and voltage tracking performance in the presence of these disturbances. This approach is different from multiport control strategies usually employed in the literature, which are based on decentralized controllers that require the use of decoupling techniques that can lead to control problems. To ensure robustness, stabilization, and voltage tracking, an H ∞ approach with pole placement restrictions and based on linear matrix inequality (LMI) constraints is formulated and solved. Finally, the performance of the proposed controller has been verified via hardware-in-the-loop (HIL) experiments and compared with a decentralized control strategy.

[1]  Marcus Vinicius Silvério Costa,et al.  Robust Mpc-lmi Controller Applied To Three State Switching Cell Boost Converter , 2017 .

[2]  Satyaki Mukherjee,et al.  Multiport Soft-Switching Bidirectional DC-DC Converter for Hybrid Energy Storage Systems , 2019, 2019 IEEE Applied Power Electronics Conference and Exposition (APEC).

[3]  Tito L M Santos,et al.  Simplified filtered Smith predictor for MIMO processes with multiple time delays. , 2016, ISA transactions.

[4]  F. L. Luo,et al.  Sliding-mode control for dc-dc converters with constant switching frequency , 2006 .

[5]  J.L. Duarte,et al.  Multiport converters for hybrid power sources , 2008, 2008 IEEE Power Electronics Specialists Conference.

[6]  Laurent El Ghaoui,et al.  Robust Optimization , 2021, ICORES.

[7]  Ricardo C. L. F. Oliveira,et al.  A Robust H2 State Feedback Controller Applied To Boost Converters , 2011 .

[8]  Isabelle Queinnec,et al.  LMI robust control design for boost PWM converters , 2010 .

[9]  German G. Oggier,et al.  Dynamic modeling and analysis of the bidirectional DC-DC boost-buck converter for renewable energy applications , 2019, Sustainable Energy Technologies and Assessments.

[10]  A. Enrico Tironi,et al.  A novel approach in multi-port DC/DC converter control , 2015, 2015 International Conference on Clean Electrical Power (ICCEP).

[11]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[12]  Amin Safari,et al.  LMI based robust control design for multi-input–single-output DC/DC converter , 2019 .

[13]  Feng Tian,et al.  Tri-Modal Half-Bridge Converter Topology for Three-Port Interface , 2007, IEEE Transactions on Power Electronics.

[14]  Denizar C. Martins,et al.  A new DC-DC power converter derived from the TAB for bipolar DC microgrids , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[15]  Mihai Oproescu,et al.  Efficient energy control strategies for a Standalone Renewable/Fuel Cell Hybrid Power Source , 2015 .

[16]  K. Strunz,et al.  A review of hybrid renewable/alternative energy systems for electric power generation: Configurations, control and applications , 2011, 2012 IEEE Power and Energy Society General Meeting.

[17]  I. Batarseh,et al.  Modeling and Control of Three-Port DC/DC Converter Interface for Satellite Applications , 2010, IEEE Transactions on Power Electronics.

[18]  Arkadi Nemirovski,et al.  Lmi Control Toolbox For Use With Matlab , 2014 .

[19]  P. Gahinet,et al.  H∞ design with pole placement constraints: an LMI approach , 1996, IEEE Trans. Autom. Control..

[20]  Christian Klumpner,et al.  A Novel Modular Multiport Converter for Enhancing the Performance of Photovoltaic-Battery Based Power Systems , 2019, Applied Sciences.

[21]  Haibing Hu,et al.  Multi-channel three-port DC/DC converters as maximum power tracker, battery charger and bus regulator , 2010, 2010 Twenty-Fifth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[22]  Yan Li,et al.  Modeling and Regulator Design for Three-Input Power Systems with Decoupling Control , 2012 .

[23]  Hisham M. Soliman,et al.  Regional pole placement with saturated control for DC-DC buck converter through Hardware-in-the-Loop , 2016 .

[24]  Justin M. Reese Design, Modeling, And Control Of Three-port Converters For Solar Power Applications , 2007 .

[25]  Isabelle Queinnec,et al.  Optimal State-Feedback Control of Bilinear DC–DC Converters With Guaranteed Regions of Stability , 2012, IEEE Transactions on Industrial Electronics.

[26]  M Alzgool,et al.  A novel multi-inputs-single-output DC transformer topology , 2016, 2016 51st International Universities Power Engineering Conference (UPEC).

[27]  Domingo De Jesus Cortes Rodriguez Tracking control of the boost converter , 2004 .

[28]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[29]  Issa Batarseh,et al.  An Integrated Four-Port DC/DC Converter for Renewable Energy Applications , 2010, IEEE Transactions on Power Electronics.

[30]  Youssef Slamani,et al.  A Nonlinear State Feedback for DC/DC Boost Converters , 2017 .

[31]  Hamid Reza Koofigar,et al.  Power control of hybrid energy systems with renewable sources (wind-photovoltaic) using switched systems strategy , 2020 .

[32]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in System and Control Theory , 1994, Studies in Applied Mathematics.

[33]  Vijayakumar Ponnusamy,et al.  Hybrid renewable energy systems for power flow management in smart grid using an efficient hybrid technique , 2020, Trans. Inst. Meas. Control.

[34]  Veerachary Mummadi,et al.  Robust Multi-Variable Controller Design for Two-Input Two-Output Fourth-Order DC-DC Converter , 2020 .

[35]  Sara Alomari,et al.  Modeling and Control of Multi-Port DC/DC Converter , 2019, 2019 IEEE 28th International Symposium on Industrial Electronics (ISIE).

[37]  G. Duan,et al.  LMIs in Control Systems: Analysis, Design and Applications , 2013 .

[38]  Prabodh Bajpai,et al.  Three port DC-DC converter for storage integration in microgrid , 2016, 2016 National Power Systems Conference (NPSC).

[39]  Prabodh Bajpai,et al.  Isolated Multiport Converter for fuel Cell and Energy Storage systems for DC Microgrid , 2017, 2017 14th IEEE India Council International Conference (INDICON).

[40]  Alexander L. Fradkov,et al.  Tracking control of the boost converter , 2004 .

[41]  Runruo Chen,et al.  A three-port half-bridge converter with synchronous rectification for renewable energy application , 2011, 2011 IEEE Energy Conversion Congress and Exposition.

[42]  Oleg Sergiyenko,et al.  H∞ loop-shaping control of a buck-boost converter , 2010, 2010 IEEE International Conference on Industrial Technology.

[43]  Keiji Wada,et al.  Applications of Triple Active Bridge Converter for Future Grid and Integrated Energy Systems , 2020, Energies.

[44]  Daniel Hissel,et al.  A review on DC/DC converter architectures for power fuel cell applications , 2015 .