Comparison of integer and fractional order robust controllers for DC/DC converter feeding constant power load in a DC microgrid

Abstract DC/DC converter’s when feeding the constant power loads (CPLs) are sensitive to the instabilities due to the induced negative impedance characteristics. An efficient control system is crucial to overcome the de-stabilization problem for the DC/DC converters. This article proposes an integer and fractional order terminal sliding mode (TSMC) controllers for DC/DC boost converter feeding the constant power load (CPL) in a typical DC microgrid configuration. Novel integer and fractional order nonlinear sliding manifolds are proposed and based on the Lyapunov theorem terminal sliding mode controllers (TSMC) are formulated and its stability is guaranteed. Finally, numerical simulations are presented to compare the performance of the integer TSMC, fractional TSMC and classical SMC.

[1]  Richard Eisenberg,et al.  Preface: overview of the forum on solar and renewable energy. , 2005, Inorganic chemistry.

[2]  Babak Nahid-Mobarakeh,et al.  Dynamic Consideration of DC Microgrids With Constant Power Loads and Active Damping System—A Design Method for Fault-Tolerant Stabilizing System , 2014, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[3]  Andrzej Bartoszewicz,et al.  Discrete-time quasi-sliding-mode control strategies , 1998, IEEE Trans. Ind. Electron..

[4]  Kamal Al-Haddad,et al.  A Lyapunov-Function-Based Control for a Three-Phase Shunt Hybrid Active Filter , 2012, IEEE Transactions on Industrial Electronics.

[5]  B Renders,et al.  A Control Strategy for Islanded Microgrids With DC-Link Voltage Control , 2011, IEEE Transactions on Power Delivery.

[6]  D. Matignon.  Stability properties for generalized fractional differential systems , 1998 .

[7]  Muhammad Asghar,et al.  Performance comparison of wind turbine based doubly fed induction generator system using fault tolerant fractional and integer order controllers , 2018 .

[8]  Jian Bai,et al.  Fractional-Order Anisotropic Diffusion for Image Denoising , 2007, IEEE Transactions on Image Processing.

[9]  Frank L. Lewis,et al.  Distributed Adaptive Droop Control for DC Distribution Systems , 2014, IEEE Transactions on Energy Conversion.

[10]  Suresh Singh,et al.  Constant power loads: A solution using sliding mode control , 2014, IECON 2014 - 40th Annual Conference of the IEEE Industrial Electronics Society.

[11]  Vinod Kumar,et al.  Robust sliding-mode control of dc/dc boost converter feeding a constant power load , 2015 .

[12]  Juan C. Vasquez,et al.  Supervisory Control of an Adaptive-Droop Regulated DC Microgrid With Battery Management Capability , 2014, IEEE Transactions on Power Electronics.

[13]  Yasser Abdel-Rady I. Mohamed,et al.  Linear Active Stabilization of Converter-Dominated DC Microgrids , 2012, IEEE Transactions on Smart Grid.

[14]  A Kwasinski,et al.  Dynamic Behavior and Stabilization of DC Microgrids With Instantaneous Constant-Power Loads , 2011, IEEE Transactions on Power Electronics.

[15]  Nikolaos Stenberg,et al.  The Impact of HVDC Innovations on the Power Industry , 2013 .

[16]  Ebrahim Farjah,et al.  Power Control and Management in a Hybrid AC/DC Microgrid , 2014, IEEE Transactions on Smart Grid.

[17]  Mohammad Pourmahmood Aghababa,et al.  A Lyapunov-based control scheme for robust stabilization of fractional chaotic systems , 2014 .

[18]  M. Liserre,et al.  Future Energy Systems: Integrating Renewable Energy Sources into the Smart Power Grid Through Industrial Electronics , 2010, IEEE Industrial Electronics Magazine.

[19]  B. G. Fernandes,et al.  Reduced-Order Model and Stability Analysis of Low-Voltage DC Microgrid , 2013, IEEE Transactions on Industrial Electronics.

[20]  Dushan Boroyevich,et al.  Future electronic power distribution systems a contemplative view , 2010, 2010 12th International Conference on Optimization of Electrical and Electronic Equipment.

[21]  Nasim Ullah,et al.  Fractional order control of static series synchronous compensator with parametric uncertainty , 2017 .

[22]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[23]  Turner,et al.  A realizable renewable energy future , 1999, Science.

[24]  Matthew Leach,et al.  Progress in renewable energy. , 2003, Environment international.

[25]  Zhi-yu Xu,et al.  Controllability of nonisolated DC-DC converters with constant-power-load , 2012, 2012 24th Chinese Control and Decision Conference (CCDC).

[26]  H. Akagi,et al.  DC microgrid based distribution power generation system , 2004, The 4th International Power Electronics and Motion Control Conference, 2004. IPEMC 2004..

[27]  Hadi Malek,et al.  Control of Grid-Connected Photovoltaic Systems Using Fractional Order Operators , 2014 .