Accurate Impedance Model of Grid-Connected Inverter for Small-Signal Stability Assessment in High-Impedance Grids

Power quality problems caused by grid-connected renewable energy inverters have been reported in recent literature. Excessive harmonics and interharmonics may arise when the inverter starts to interact with the grid impedance. Small-signal impedance models have been proven to be useful tools to analyze the stability margins. However, most often the grid voltage feedforward loop employed by the inverter is not included in impedance-based analysis. To fill this gap, this paper presents an impedance model, which includes the effect of feedforward, to analyze impedance-based stability in the presence of large grid impedance. The model is verified by impedance measurements from a laboratory prototype. The model is shown to give accurate prediction of small-signal stability when the Nyquist stability-criterion is applied. Thus, the model can be used to re-shape the inverter impedance to avoid stability problems. The developed impedance model will also provide a useful tool to monitor stability margins online, which necessitates adaptive impedance-shaping of grid-connected inverters.

[1]  Friedrich W. Fuchs,et al.  Modeling of inverter output impedance for stability analysis in combination with measured grid impedances , 2015, 2015 IEEE 6th International Symposium on Power Electronics for Distributed Generation Systems (PEDG).

[2]  Dongsheng Yang,et al.  Impedance Shaping of the Grid-Connected Inverter with LCL Filter to Improve Its Adaptability to the Weak Grid Condition , 2014, IEEE Transactions on Power Electronics.

[3]  Bo Wen,et al.  AC Stability Analysis and dq Frame Impedance Specifications in Power-Electronics-Based Distributed Power Systems , 2017, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[4]  Jonathan W. Kimball,et al.  Reduced-Order Small-Signal Model of Microgrid Systems , 2015, IEEE Transactions on Sustainable Energy.

[5]  Khaled Mohammad Alawasa,et al.  Active Mitigation of Subsynchronous Interactions Between PWM Voltage-Source Converters and Power Networks , 2014, IEEE Transactions on Power Electronics.

[6]  Jin Huang,et al.  Impact of the voltage feed-forward and current decoupling on VSC current control stability in weak grid based on complex variables , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[7]  Xinbo Ruan,et al.  Full Feedforward of Grid Voltage for Grid-Connected Inverter With LCL Filter to Suppress Current Distortion Due to Grid Voltage Harmonics , 2010, IEEE Transactions on Power Electronics.

[8]  Jian Sun,et al.  Voltage Stability and Control of Offshore Wind Farms With AC Collection and HVDC Transmission , 2014, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[9]  Teuvo Suntio,et al.  Modelling the effect of non-ideal load in three-phase converter dynamics , 2012 .

[10]  G. Garcera,et al.  Sensitivity Study of the Dynamics of Three-Phase Photovoltaic Inverters With an LCL Grid Filter , 2009, IEEE Transactions on Industrial Electronics.

[11]  Dushan Boroyevich,et al.  On the Ac stability of high power factor three-phase rectifiers , 2010, 2010 IEEE Energy Conversion Congress and Exposition.

[12]  Jih-Sheng Lai,et al.  Admittance Compensation in Current Loop Control for a Grid-Tie LCL Fuel Cell Inverter , 2007, IEEE Transactions on Power Electronics.

[13]  Tuomas Messo,et al.  Effect of photovoltaic generator on a typical VSI-based three-phase grid-connected photovoltaic inverter dynamics , 2011 .

[14]  D. Boroyevich,et al.  Novel reduced-order small-signal model of three-phase PWM rectifiers and its application in control design and system analysis , 1996, PESC Record. 27th Annual IEEE Power Electronics Specialists Conference.

[15]  Frede Blaabjerg,et al.  Real-time impedance-based stability assessment of grid converter interactions , 2017, 2017 IEEE 18th Workshop on Control and Modeling for Power Electronics (COMPEL).

[16]  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.

[17]  Jian Sun,et al.  Impedance Modeling and Analysis of Grid-Connected Voltage-Source Converters , 2014, IEEE Transactions on Power Electronics.

[18]  Frede Blaabjerg,et al.  An impedance-based stability analysis method for paralleled voltage source converters , 2014, 2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA).

[19]  Tuomas Messo,et al.  Power Electronic Converters: Dynamics and Control in Conventional and Renewable Energy Applications , 2017 .

[20]  Bimal K. Bose,et al.  Global Energy Scenario and Impact of Power Electronics in 21st Century , 2013, IEEE Transactions on Industrial Electronics.

[21]  Tuomas Messo,et al.  Design of grid-voltage feedforward to increase impedance of grid-connected three-phase inverters with LCL-filter , 2016, 2016 IEEE 8th International Power Electronics and Motion Control Conference (IPEMC-ECCE Asia).

[22]  Frede Blaabjerg,et al.  Passivity-Based Stability Assessment of Grid-Connected VSCs—An Overview , 2016, IEEE Journal of Emerging and Selected Topics in Power Electronics.

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

[24]  Frede Blaabjerg,et al.  Modeling and Analysis of Harmonic Stability in an AC Power-Electronics-Based Power System , 2014, IEEE Transactions on Power Electronics.

[25]  Dong Wang,et al.  Modeling of Grid-Connected DFIG-Based Wind Turbines for DC-Link Voltage Stability Analysis , 2015, IEEE Transactions on Sustainable Energy.

[26]  T. Messo,et al.  Effect of conventional grid-voltage feedforward on the output impedance of a three-phase photovoltaic inverter , 2014, 2014 International Power Electronics Conference (IPEC-Hiroshima 2014 - ECCE ASIA).

[27]  Xibo Yuan,et al.  An Improved Grid-Voltage Feedforward Strategy for High-Power Three-Phase Grid-Connected Inverters Based on the Simplified Repetitive Predictor , 2016, IEEE Transactions on Power Electronics.

[28]  Chun Li,et al.  Unstable Operation of Photovoltaic Inverter From Field Experiences , 2018, IEEE Transactions on Power Delivery.

[29]  Xibo Yuan,et al.  Grid Harmonics Suppression Scheme for LCL-Type Grid-Connected Inverters Based on Output Admittance Revision , 2015, IEEE Transactions on Sustainable Energy.

[30]  Bikash C. Pal,et al.  Electrical Oscillations in Wind Farm Systems: Analysis and Insight Based on Detailed Modeling , 2016, IEEE Transactions on Sustainable Energy.

[31]  T. Messo,et al.  Modeling the grid synchronization induced negative-resistor-like behavior in the output impedance of a three-phase photovoltaic inverter , 2013, 2013 4th IEEE International Symposium on Power Electronics for Distributed Generation Systems (PEDG).

[32]  Dushan Boroyevich,et al.  Novel reduced-order small-signal model of a three-phase PWM rectifier and its application in control design and system analysis , 1996 .

[33]  Fred Wang,et al.  Influence of voltage feed-forward control on small-signal stability of grid-tied inverters , 2015, 2015 IEEE Applied Power Electronics Conference and Exposition (APEC).

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

[35]  Tuomas Messo,et al.  Generalized multivariable small-signal model of three-phase grid-connected inverter in DQ-domain , 2015, 2015 IEEE 16th Workshop on Control and Modeling for Power Electronics (COMPEL).

[36]  P.J.M. Heskes,et al.  Harmonic interaction between a large number of distributed power inverters and the distribution network , 2004, IEEE Transactions on Power Electronics.

[37]  Bo Wen,et al.  Analysis of D-Q Small-Signal Impedance of Grid-Tied Inverters , 2016, IEEE Transactions on Power Electronics.

[38]  Weiwei Li,et al.  Analysis of Resonance Between a VSC-HVDC Converter and the AC Grid , 2018, IEEE Transactions on Power Electronics.