A robust grid current controller with grid harmonic and filter resonance damping capabilities using a closed-loop admittance shaping

This paper presents a grid current control of a grid connected Voltage Source Converter (VSC) with an LCL filter. The control method enables to shape the input admittance of the converter in addition to track a given current reference. By specifying a low resistive admittance profile, a suitable controller is obtained by using an H∞ synthesis, which will actively damp the filter resonance and the harmonics/inter-harmonics from the grid in a wide frequency range. Additionally, the proposed system presents good robustness with respect to grid uncertainty.

[1]  M. Liserre,et al.  Genetic algorithm-based design of the active damping for an LCL-filter three-phase active rectifier , 2003, IEEE Transactions on Power Electronics.

[2]  Brian D. O. Anderson,et al.  Network Analysis and Synthesis: A Modern Systems Theory Approach , 2006 .

[3]  Yun Wei Li,et al.  Generalized Closed-Loop Control Schemes with Embedded Virtual Impedances for Voltage Source Converters with LC or LCL Filters , 2012, IEEE Transactions on Power Electronics.

[4]  Steffan Hansen,et al.  Investigation of Active Damping Approaches for PI-Based Current Control of Grid-Connected Pulse Width Modulation Converters With LCL Filters , 2010, IEEE Transactions on Industry Applications.

[5]  Scott D. Sudhoff,et al.  Analysis of Electric Machinery and Drive Systems , 1995 .

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

[7]  A. G. Yepes Digital resonant current controllers for voltage source converters , 2011 .

[8]  Johann W. Kolar,et al.  Differential Mode Input Filter Design for a Three-Phase Buck-Type PWM Rectifier Based on Modeling of the EMC Test Receiver , 2006, IEEE Transactions on Industrial Electronics.

[9]  Daniel Pizarro,et al.  Robust loop-shaping H∞ control of LCL-connected grid converters , 2010, 2010 IEEE International Symposium on Industrial Electronics.

[10]  Frede Blaabjerg,et al.  Proportional derivative based stabilizing control of paralleled grid converters with cables in renwable power plants , 2014, 2014 IEEE Energy Conversion Congress and Exposition (ECCE).

[11]  Robert W. Erickson,et al.  Optimal single resistors damping of input filters , 1999, APEC '99. Fourteenth Annual Applied Power Electronics Conference and Exposition. 1999 Conference Proceedings (Cat. No.99CH36285).

[12]  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.

[13]  Jian Sun,et al.  Impedance-Based Stability Criterion for Grid-Connected Inverters , 2011, IEEE Transactions on Power Electronics.

[14]  Frede Blaabjerg,et al.  Virtual RC Damping of LCL-Filtered Voltage Source Converters With Extended Selective Harmonic Compensation , 2015, IEEE Transactions on Power Electronics.

[15]  Lennart Harnefors,et al.  Passivity-Based Controller Design of Grid-Connected VSCs for Prevention of Electrical Resonance Instability , 2015, IEEE Transactions on Industrial Electronics.

[16]  Poh Chiang Loh,et al.  Exploring inherent damping characteristic of LCL-filters for three-phase grid-connected voltage source inverters , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[17]  J L Agorreta,et al.  Modeling and Control of $N$ -Paralleled Grid-Connected Inverters With LCL Filter Coupled Due to Grid Impedance in PV Plants , 2011, IEEE Transactions on Power Electronics.

[18]  R. D. Middlebrook,et al.  Input filter considerations in design and application of switching regulators. , 1976 .

[19]  S. Cobreces,et al.  $\mathcal {H}_\infty$ Current Controller for Input Admittance Shaping of VSC-Based Grid Applications , 2017, IEEE Transactions on Power Electronics.

[20]  Massimo Bongiorno,et al.  Input-Admittance Calculation and Shaping for Controlled Voltage-Source Converters , 2007, IEEE Transactions on Industrial Electronics.

[21]  Massimo Bongiorno,et al.  Frequency-domain passivity-based current controller design , 2008 .

[22]  Pablo Fernandez-Comesana,et al.  Assessment and Optimization of the Transient Response of Proportional-Resonant Current Controllers for Distributed Power Generation Systems , 2013, IEEE Transactions on Industrial Electronics.

[23]  Daniel Pizarro-Perez,et al.  Resonance damping of LCL filters via input admittance frequency shaping , 2016, 2016 IEEE 25th International Symposium on Industrial Electronics (ISIE).

[24]  M. Aredes,et al.  Discrete-time implementation of second order generalized integrators for grid converters , 2008, 2008 34th Annual Conference of IEEE Industrial Electronics.

[25]  Francisco D. Freijedo,et al.  Analysis and Design of Resonant Current Controllers for Voltage-Source Converters by Means of Nyquist Diagrams and Sensitivity Function , 2011, IEEE Transactions on Industrial Electronics.

[26]  V. Blasko,et al.  A novel control to actively damp resonance in input LC filter of a three phase voltage source converter , 1996, Proceedings of Applied Power Electronics Conference. APEC '96.

[27]  Jian Sun,et al.  Constant-Power Load System Stabilization by Passive Damping , 2011, IEEE Transactions on Power Electronics.

[28]  Donald Grahame Holmes,et al.  Regions of active damping control for LCL filters , 2012, 2012 IEEE Energy Conversion Congress and Exposition (ECCE).

[29]  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.

[30]  M. Liserre,et al.  Analysis of the Passive Damping Losses in LCL-Filter-Based Grid Converters , 2013, IEEE Transactions on Power Electronics.