Synthetic Velocity Vectors Control Law Based on Projection-Value-Based Strategy for H6 Inverter

Min-projection switching law, a related control method of switched linear systems model, is famous for its outstanding dynamic performance. However, under digital control framework, H6 inverter directly employing it performs unsatisfactorily. To improve the performance, a new control law based on projection-value-based switching strategy named synthetic velocity vectors control law (SVVCL) is proposed in this paper. Compared with min-projection switching law, SVVCL could be effectively applied on digital-controlled H6 inverter under the framework of pulse width modulation (PWM) technique. Firstly, fitness function of SVVCL considering static and dynamic performances is established. Secondly, control law is simplified to improve its accessibility. Further, a common approach to design compensator for improving output robustness is discussed. Finally, experiments on a 400W prototype are carried out. Results show that H6 inverter employing SVVCL has preferable static performance, strong robustness, as well as excellent dynamic response characteristics.

[1]  Wu-Hua Chen,et al.  Dual-stage periodic event-triggered output-feedback control for linear systems. , 2018, ISA transactions.

[2]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[3]  Juntao Fei,et al.  Disturbance Observer Based Fuzzy Sliding Mode Control of PV Grid Connected Inverter , 2018, IEEE Access.

[4]  Q. H. Wu,et al.  Application of switched system theory in power system stability , 2014, 2014 49th International Universities Power Engineering Conference (UPEC).

[5]  Tao Wang,et al.  Robust sampling‐based switching design for piecewise affine systems with application to DC–DC converters , 2019, IET Control Theory & Applications.

[6]  Francis J. Doyle,et al.  Survey on iterative learning control, repetitive control, and run-to-run control , 2009 .

[7]  Bo Zhang,et al.  Modeling and control rule of three-phase Boost-type rectifier as switched linear systems , 2008, 2008 International Conference on Electrical Machines and Systems.

[8]  Huan Wang,et al.  Double Closed-Loop PI Control of Three-Phase Inverters by Binary-Coded Extremal Optimization , 2016, IEEE Access.

[9]  Bo Zhang,et al.  Three-mode pulse-width modulation of a three-phase four-wire inverter , 2015 .

[10]  Md. Murshadul Hoque,et al.  Fuzzy Logic Inverter Controller in Photovoltaic Applications: Issues and Recommendations , 2019, IEEE Access.

[11]  Emilia Fridman,et al.  Robust Sampled – Data Control of Switched Affine Systems , 2013, IEEE Transactions on Automatic Control.

[12]  Mansour Mohseni,et al.  A New Vector-Based Hysteresis Current Control Scheme for Three-Phase PWM Voltage-Source Inverters , 2010, IEEE Transactions on Power Electronics.

[13]  Sangshin Kwak,et al.  Model Predictive Control Methods to Reduce Common-Mode Voltage for Three-Phase Voltage Source Inverters , 2015, IEEE Transactions on Power Electronics.

[14]  Lei Zhou,et al.  Event-triggered control of discrete-time switched linear systems with network transmission delays , 2020, Autom..

[15]  Jianhua Wang,et al.  Single Phase Bidirectional H6 Rectifier/Inverter , 2019, IEEE Transactions on Power Electronics.

[16]  Paolo Mattavelli,et al.  Small-Signal Analysis and Optimal Design of External Ramp for Constant On-Time V $^{\bf 2}$ Control With Multilayer Ceramic Caps , 2014, IEEE Transactions on Power Electronics.

[17]  Fred C. Lee,et al.  A New Fast Adaptive On-Time Control for Transient Response Improvement in Constant On-Time Control , 2018, IEEE Transactions on Power Electronics.

[18]  Fei Hao,et al.  Periodic event-triggered state-feedback control for discrete-time linear systems , 2016, J. Frankl. Inst..

[19]  Wensheng Song,et al.  Deadbeat Predictive Power Control of Single-Phase Three-Level Neutral-Point-Clamped Converters Using Space-Vector Modulation for Electric Railway Traction , 2016, IEEE Transactions on Power Electronics.

[20]  Nacim Meslem,et al.  Event-triggered stabilizing controllers for switched linear systems , 2020, Nonlinear Analysis: Hybrid Systems.

[21]  Yun Li,et al.  PID control system analysis, design, and technology , 2005, IEEE Transactions on Control Systems Technology.

[22]  Yutaka Yamamoto,et al.  Stability analysis of sampled-data switched systems with quantization , 2015, Autom..

[23]  Hai Lin,et al.  Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results , 2009, IEEE Transactions on Automatic Control.

[24]  Prabhakar R. Pagilla,et al.  Periodic event-triggered dynamic output feedback control of switched systems , 2019, Nonlinear Analysis: Hybrid Systems.

[25]  Daniel Liberzon,et al.  Finite data-rate feedback stabilization of switched and hybrid linear systems , 2014, Autom..

[26]  Zhaoming Qian,et al.  A Robust Control Scheme for Grid-Connected Voltage-Source Inverters , 2011, IEEE Transactions on Industrial Electronics.

[27]  A. Fakharian,et al.  Robust voltage regulation in islanded microgrids: A LMI based mixed H2/H∞ control approach , 2016, 2016 24th Mediterranean Conference on Control and Automation (MED).

[28]  Mehrdad Ehsani,et al.  Analysis of power electronic converters using the generalized state-space averaging approach , 1997 .

[29]  Bo Zhang,et al.  A Novel SVPWM for Three-Level NPC Inverter Based on m-Mode Controllability , 2018, IEEE Transactions on Industrial Electronics.

[30]  Chen Hao,et al.  Dual-inverter for grid-connected photovoltaic system: Modeling and sliding mode control , 2012 .

[31]  Changyin Sun,et al.  Quantization-based event-triggered sliding mode tracking control of mechanical systems , 2020, Inf. Sci..

[32]  Donald Grahame Holmes,et al.  A Novel Three-Level Hysteresis Current Regulation Strategy for Three-Phase Three-Level Inverters , 2014, IEEE Transactions on Power Electronics.

[33]  Guosong Yang,et al.  Stabilizing a switched linear system with disturbance by sampled-data quantized feedback , 2015, 2015 American Control Conference (ACC).

[34]  Ionel Vechiu,et al.  Universal switched state-space representation for model predictive control of power converters , 2020 .

[35]  Ming Cao,et al.  Finite-time boundedness and stabilisation of switched linear systems using event-triggered controllers , 2017 .

[36]  Marko Hinkkanen,et al.  Observer-Based State-Space Current Controller for a Grid Converter Equipped With an LCL Filter: Analytical Method for Direct Discrete-Time Design , 2015, IEEE Transactions on Industry Applications.

[37]  Elias B. Kosmatopoulos,et al.  Adaptive pulse width modulation design for power converters based on affine switched systems , 2018 .

[38]  Robert Turner,et al.  Robust High-Performance Inverter Control Using Discrete Direct-Design Pole Placement , 2011, IEEE Transactions on Industrial Electronics.

[39]  Ersan Kabalci,et al.  Review on novel single-phase grid-connected solar inverters: Circuits and control methods , 2020 .

[40]  Li Zhang,et al.  H6 Transformerless Full-Bridge PV Grid-Tied Inverters , 2014, IEEE Transactions on Power Electronics.

[41]  Ramon Costa-Castelló,et al.  Robust Repetitive Control of Power Inverters for Standalone Operation in DG Systems , 2020, IEEE Transactions on Energy Conversion.

[42]  Bo Zhang,et al.  Switching rule based on min-projection strategy for single phase DC-AC converter , 2015, 2015 IEEE Applied Power Electronics Conference and Exposition (APEC).

[43]  Bo Zhang,et al.  Low CM Leakage Current and High Efficiency H6 Inverter with Active Clamping for Transformerless PV System , 2018, IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society.

[44]  Sukumar Mishra,et al.  Robust state feedback current controller with harmonic compensation for single stage grid connected PV inverter with LCL filter , 2018, 2018 IEEMA Engineer Infinite Conference (eTechNxT).

[45]  Pekik Argo Dahono,et al.  New hysteresis current controller for single-phase full-bridge inverters , 2009 .

[46]  Hai Lin,et al.  Switched Linear Systems: Control and Design , 2006, IEEE Transactions on Automatic Control.

[47]  Jamal Daafouz,et al.  Adaptive stabilization of switched affine systems with unknown equilibrium points: Application to power converters , 2019, Autom..