Decoupled dq-Current Control of Grid-Tied Voltage Source Converters Using Nonparametric Models

This paper presents a vector control strategy for regulating the current of grid-tied voltage source converters (VSCs) in a rotating reference frame. The proposed approach is based on shaping the open-loop and closed-loop transfer matrices of the system. Solving a constrained convex optimization problem, the shaping is achieved, which guarantees the stability of the closed-loop system. The designed controller results in the desired dynamic performance and decouples the direct and quadrature (dq) current axes. The structure of the proposed controller is similar to that of its predecessors and consists of four proportional-integral controllers. The performance of the method is evaluated based on simulation and experimental results. It is confirmed that its dynamic performance is better than that of the previously proposed approaches, and it results in the decoupled current axes.

[1]  Hirofumi Akagi,et al.  Active Harmonic Filters , 2005, Proceedings of the IEEE.

[2]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

[3]  Dehong Xu,et al.  A New Feedback Method for PR Current Control of LCL-Filter-Based Grid-Connected Inverter , 2010, IEEE Transactions on Industrial Electronics.

[4]  Frede Blaabjerg,et al.  Proportionalresonant controllers and filters for gridconnected voltagesource converters , 2006 .

[5]  F. Blaabjerg,et al.  A review of single-phase grid-connected inverters for photovoltaic modules , 2005, IEEE Transactions on Industry Applications.

[6]  Alireza Karimi,et al.  Fixed-order H∞ controller design for nonparametric models by convex optimization , 2010, Autom..

[7]  Reza Iravani,et al.  A Space Vector Modulation Strategy for a Back-to-Back Five-Level HVDC Converter System , 2009, IEEE Transactions on Industrial Electronics.

[8]  Marian P. Kazmierkowski,et al.  Current control techniques for three-phase voltage-source PWM converters: a survey , 1998, IEEE Trans. Ind. Electron..

[9]  Alireza Karimi,et al.  H∞ Controller design for spectral MIMO models by convex optimization☆ , 2010 .

[10]  Josep M. Guerrero,et al.  Control Design Guidelines for Single-Phase Grid-Connected Photovoltaic Inverters With Damped Resonant Harmonic Compensators , 2009, IEEE Transactions on Industrial Electronics.

[11]  Wilfried Hofmann,et al.  Reactive Power Control Design in Doubly Fed Induction Generators for Wind Turbines , 2009, IEEE Transactions on Industrial Electronics.

[12]  Alfred Rufer,et al.  Multivariable-PI-Based $dq$ Current Control of Voltage Source Converters With Superior Axis Decoupling Capability , 2011, IEEE Transactions on Industrial Electronics.

[13]  Alan F. Lynch,et al.  Experimental Validation of Nonlinear Control for a Voltage Source Converter , 2009, IEEE Transactions on Control Systems Technology.

[14]  Juan C. Vasquez,et al.  Selective Harmonic-Compensation Control for Single-Phase Active Power Filter With High Harmonic Rejection , 2009, IEEE Transactions on Industrial Electronics.

[15]  Josep M. Guerrero,et al.  Design of an Analog Quasi-Steady-State Nonlinear Current-Mode Controller for Single-Phase Active Power Filter , 2009, IEEE Transactions on Industrial Electronics.

[16]  Rogelio Lozano,et al.  Adaptive Control: Algorithms, Analysis and Applications , 2011 .

[17]  Frede Blaabjerg,et al.  Proportional-resonant controllers and filters for grid-connected voltage-source converters , 2006 .

[18]  Donald Grahame Holmes,et al.  Stationary frame current regulation of PWM inverters with zero steady state error , 1999, 30th Annual IEEE Power Electronics Specialists Conference. Record. (Cat. No.99CH36321).

[19]  M. B. Brennen,et al.  Vector analysis and control of advanced static VAr compensators , 1991 .

[20]  Patricia Liliana Arnera,et al.  Hybrid Active Filter for Reactive and Harmonics Compensation in a Distribution Network , 2009, IEEE Transactions on Industrial Electronics.

[21]  Pablo Correa,et al.  Control of a Single-Phase Cascaded H-Bridge Multilevel Inverter for Grid-Connected Photovoltaic Systems , 2009, IEEE Transactions on Industrial Electronics.

[22]  Hasan Komurcugil,et al.  A Three-Level Hysteresis Function Approach to the Sliding-Mode Control of Single-Phase UPS Inverters , 2009, IEEE Transactions on Industrial Electronics.

[23]  Alireza Karimi,et al.  H∞ controller design for spectral MIMO models by convex optimization , 2009, 2009 European Control Conference (ECC).

[24]  Alfred Rufer,et al.  Vector control of single-phase voltage source converters based on Fictive Axis Emulation , 2009, 2009 IEEE Energy Conversion Congress and Exposition.

[25]  Shao Zhang,et al.  Design of a Robust Grid Interface System for PMSG-Based Wind Turbine Generators , 2011, IEEE Transactions on Industrial Electronics.

[26]  M. Liserre,et al.  Evaluation of Current Controllers for Distributed Power Generation Systems , 2009, IEEE Transactions on Power Electronics.

[27]  Joachim Rudolph,et al.  On Some Nonlinear Current Controllers for Three-Phase Boost Rectifiers , 2009, IEEE Transactions on Industrial Electronics.

[28]  Gabriel Garcerá,et al.  An Adaptive Robust Predictive Current Control for Three-Phase Grid-Connected Inverters , 2011, IEEE Transactions on Industrial Electronics.

[29]  Hasan Komurcugil,et al.  Steady-State Analysis and Passivity-Based Control of Single-Phase PWM Current-Source Inverters , 2010, IEEE Transactions on Industrial Electronics.