An efficient model predictive control based on Lyapunov function for doubly fed induction generator fed by a T-type inverter

This paper proposed an efficient model predictive control strategy for a three-level T-type inverter connected to a doubly fed induction generator. A dynamic model is utilized to track the power reference, preserve the DC-link voltage balancing and reduce the inverter switching frequency and common-mode voltage. Unlike the traditional finite control set model predictive control, the stability of the closed-loop system and computational burden reduction are concurrently accomplished as the main contribution to the proposed strategy. At each sampling period, the proposed algorithm only considers the candidate control inputs which satisfy the stability condition taken from a suitable control Lyapunov function for evaluating the optimization problem. Due to model uncertainties and discrete set control input voltages, an attractivity set is employed to determine the stability and converge of the system. Therefore, the lower computation time of the optimization problem is the potential benefit compared with the conventional method. Simulation investigation with different operating conditions of a 2 MW wind turbine is carried out by MATLAB/Simulink. The achieved results confirm the stability guarantees while reducing the computational burden and obtaining the same control performances in comparison with the conventional method.

[1]  Matthias Preindl,et al.  Robust Control Invariant Sets and Lyapunov-Based MPC for IPM Synchronous Motor Drives , 2016, IEEE Transactions on Industrial Electronics.

[2]  Qinghua Wu,et al.  Nonlinear maximum power point tracking control and modal analysis of DFIG based wind turbine , 2016 .

[3]  Lie Xu,et al.  Direct active and reactive power control of DFIG for wind energy generation , 2006, IEEE Transactions on Energy Conversion.

[4]  Sangshin Kwak,et al.  Finite control set predictive control based on Lyapunov function for three-phase voltage source inverters , 2014 .

[5]  Xiao Mi,et al.  Fractional Order Sliding Mode Based Direct Power Control of Grid-Connected DFIG , 2018, IEEE Transactions on Power Systems.

[6]  Jing Li,et al.  Finite-Control-Set Model Predictive Control for DFIG Wind Turbines , 2018, IEEE Transactions on Automation Science and Engineering.

[7]  Daniel E. Quevedo,et al.  Stability Analysis of Quadratic MPC With a Discrete Input Alphabet , 2013, IEEE Transactions on Automatic Control.

[8]  Jiabing Hu,et al.  VSC-based direct torque and reactive power control of doubly fed induction generator , 2012 .

[9]  J. W. Kolar,et al.  Design and Implementation of a Highly Efficient Three-Level T-Type Converter for Low-Voltage Applications , 2013, IEEE Transactions on Power Electronics.

[10]  Amel Ourici Double flux orientation control for a doubly fed induction machine , 2010 .

[11]  Frede Blaabjerg,et al.  Power Electronic Drives, Controls, and Electric Generators for Large Wind Turbines–An Overview , 2015 .

[12]  Ralph Kennel,et al.  Efficient Direct Model Predictive Control for Doubly-Fed Induction Generators , 2017 .

[13]  Patricio Cortes,et al.  Predictive Control of Power Converters and Electrical Drives: Rodriguez/Predictive Control of Power Converters and Electrical Drives , 2012 .

[14]  Claudio De Persis,et al.  Input-to-state stable finite horizon MPC for neutrally stable linear discrete-time systems with input constraints , 2006, Syst. Control. Lett..

[15]  Marian P. Kazmierkowski,et al.  State of the Art of Finite Control Set Model Predictive Control in Power Electronics , 2013, IEEE Transactions on Industrial Informatics.

[16]  Krisztian Horvath,et al.  Model-based control algorithm development of induction machines by using a well-defined model architecture and rapid control prototyping , 2020 .

[17]  Seddik Bacha,et al.  Robust stator currents sensorless control of stator powers for wind generator based on DFIG and matrix converter , 2017 .

[18]  Daniel E. Quevedo,et al.  Predictive Control of Power Converters: Designs With Guaranteed Performance , 2015, IEEE Transactions on Industrial Informatics.

[19]  Luis Marroyo,et al.  Doubly Fed Induction Machine : Modeling and Control for Wind Energy Generation , 2011 .

[20]  David J. Atkinson,et al.  Stator-flux-oriented control of a doubly-fed induction machine with and without position encoder , 2000 .

[21]  Alian Chen,et al.  A Space Vector Modulation Scheme of the Quasi-Z-Source Three-Level T-Type Inverter for Common-Mode Voltage Reduction , 2018, IEEE Transactions on Industrial Electronics.

[22]  Jiefeng Hu,et al.  Multi‐objective model predictive control of doubly‐fed induction generators for wind energy conversion , 2018, IET Generation, Transmission & Distribution.

[23]  Saad Mekhilef,et al.  Modified Model Predictive Control of a Bidirectional AC–DC Converter Based on Lyapunov Function for Energy Storage Systems , 2016, IEEE Transactions on Industrial Electronics.

[24]  A. J. Sguarezi Filho,et al.  A Deadbeat Active and Reactive Power Control for Doubly Fed Induction Generator , 2010 .

[25]  Bin Wu,et al.  Generalized direct power control for grid connected multilevel converters , 2010, 2010 IEEE International Conference on Industrial Technology.

[26]  Riccardo Scattolini,et al.  Regional Input-to-State Stability for Nonlinear Model Predictive Control , 2006, IEEE Transactions on Automatic Control.

[27]  Sorin Olaru,et al.  Model Predictive Direct Power Control for doubly fed induction generator based wind turbines with three-level neutral-point clamped inverter , 2016, IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society.

[28]  R. W. De Doncker,et al.  Doubly fed induction generator systems for wind turbines , 2002 .

[29]  Vadim I. Utkin,et al.  Nonlinear and Optimal Control Theory , 2008 .

[30]  Dan Sun,et al.  Low-Complexity Model Predictive Direct Power Control for DFIG Under Both Balanced and Unbalanced Grid Conditions , 2016, IEEE Transactions on Industrial Electronics.

[31]  Minh-Khai Nguyen,et al.  A Simplified Model Predictive Control for T-Type Inverter with Output LC Filter , 2018 .

[32]  Minh-Khai Nguyen,et al.  A Modified Model Predictive Power Control for Grid-Connected T-Type Inverter with Reduced Computational Complexity , 2019, Electronics.

[33]  Bo Yang,et al.  Optimal power tracking of doubly fed induction generator-based wind turbine using swarm moth–flame optimizer , 2019, Trans. Inst. Meas. Control.

[34]  U. Ammann,et al.  Model Predictive Control—A Simple and Powerful Method to Control Power Converters , 2009, IEEE Transactions on Industrial Electronics.

[35]  Leopoldo G. Franquelo,et al.  Guidelines for weighting factors design in Model Predictive Control of power converters and drives , 2009, 2009 IEEE International Conference on Industrial Technology.

[36]  M. Liserre,et al.  Power Electronics Converters for Wind Turbine Systems , 2012, IEEE Transactions on Industry Applications.