Robust loop-shaping H∞ control of LCL-connected grid converters

This paper proposes the use of a robust loop-shaping H∞ procedure for the current control loop of VSCs connected to the grid through LCL filters. The proposed method yields robust controllers for systems connected to grids whose equivalent impedance is only known in a predefined range. The design procedure is based on simplified classical loop-shaping principles. The result is a discrete-time controller, suitable for being executed on a Digital Signal Processor and executable in real-time that is robust for the considered conditions. The procedure has been verified by simulation and experimental testing.

[1]  S. Cobreces,et al.  Control of grid-connected voltage source converters with LCL filter using a Linear Quadratic servocontroller with state estimator , 2008, 2008 IEEE Power Electronics Specialists Conference.

[2]  Bueno Peña,et al.  Optimización del comportamiento de un convertidor de tres niveles NPC conectado a la red eléctrica , 2005 .

[3]  W. Marsden I and J , 2012 .

[4]  Sergio Busquets-Monge,et al.  Interfacing Renewable Energy Sources to the Utility Grid Using a Three-Level Inverter , 2006, IEEE Transactions on Industrial Electronics.

[5]  Santiago Cóbreces Álvarez Optimization and analysis of the current control loop of VSCs connected to uncertain grids through LCL filters , 2009 .

[6]  E. Armstrong Robust controller design for flexible structures using normalized coprime factor plant descriptions , 1993 .

[7]  Marco Liserre,et al.  An Anti-Islanding Method for Single-Phase Inverters Based on a Grid Voltage Sensorless Control , 2006, IEEE Transactions on Industrial Electronics.

[8]  M. Liserre,et al.  Stability of photovoltaic and wind turbine grid-connected inverters for a large set of grid impedance values , 2006, IEEE Transactions on Power Electronics.

[9]  Bimal K. Bose,et al.  An Adaptive Hysteresis-Band Current Control Technique of a Voltage-Fed Pwm Inverter for Machine Drive System , 1988, Proceedings.14 Annual Conference of Industrial Electronics Society.

[10]  S. Cobreces,et al.  Influence analysis of the effects of an inductive-resistive weak grid over L and LCL filter current hysteresis controllers , 2007, 2007 European Conference on Power Electronics and Applications.

[11]  Raimund J. Ober,et al.  On the gap metric and coprime factor perturbations , 1993, Autom..

[12]  J. Miret,et al.  A simple sliding mode control of an active power filter , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[13]  G. Vinnicombe Frequency domain uncertainty and the graph topology , 1993, IEEE Trans. Autom. Control..

[14]  A.H.M.A. Rahim,et al.  Robust STATCOM voltage controller design using loop-shaping technique , 2004 .

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

[16]  Ying-Yu Tzou,et al.  Discrete sliding-mode control of a PWM inverter for sinusoidal output waveform synthesis with optimal sliding curve , 1996 .

[17]  M. Liserre,et al.  Design and control of an LCL-filter based three-phase active rectifier , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[18]  E. Davison,et al.  Pointwise gap metrics on transfer matrices , 1990, 29th IEEE Conference on Decision and Control.

[19]  Keith Glover,et al.  Robust control design using normal-ized coprime factor plant descriptions , 1989 .

[20]  T. Georgiou,et al.  Optimal robustness in the gap metric , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[21]  Hans-Peter Nee,et al.  Model-based current control of AC machines using the internal model control method , 1995 .

[22]  H. Pinheiro,et al.  Stability analysis of grid-connected voltage source inverters with LCL-filters using partial state feedback , 2007, 2007 European Conference on Power Electronics and Applications.

[23]  H. Pinheiro,et al.  Design and Implementation of a Robust Current Controller for VSI Connected to the Grid Through an LCL Filter , 2009, IEEE Transactions on Power Electronics.