VSC Input-Admittance Modeling and Analysis Above the Nyquist Frequency for Passivity-Based Stability Assessment

The interconnection stability of a grid-connected voltage-source converter can be assessed via the dissipative properties of its input admittance. In this paper, the modeling of the current control loop is revisited with the aim to improve the accuracy of the input-admittance model above the Nyquist frequency of the converter control system. Particular care is taken in the modeling of the pulsewidth-modulation and sampling processes. It is shown that, in order to eliminate the risk for destabilization of poorly damped grid resonances, dissipativeness of the input admittance is desirable not only for frequencies below, but also above, the Nyquist frequency. Validation is made by simulations and experiments.

[1]  Yunjie Gu,et al.  Passivity-Based Control of DC Microgrid for Self-Disciplined Stabilization , 2015, IEEE Transactions on Power Systems.

[2]  Frede Blaabjerg,et al.  Passivity-based design of passive damping for LCL-filtered voltage source converters , 2015, 2015 IEEE Energy Conversion Congress and Exposition (ECCE).

[3]  Frede Blaabjerg,et al.  Design of LCL Filters With LCL Resonance Frequencies Beyond the Nyquist Frequency for Grid-Connected Converters , 2016, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[4]  Richard H. Sherman,et al.  Chaotic communications in the presence of noise , 1993, Optics & Photonics.

[5]  J. Edward Colgate,et al.  Passivity of a class of sampled-data systems: Application to haptic interfaces , 1997, J. Field Robotics.

[6]  Karl Johan Åström,et al.  Computer-controlled systems (3rd ed.) , 1997 .

[7]  Paolo Mattavelli,et al.  Digital Control in Power Electronics , 2006, Digital Control in Power Electronics.

[8]  Marco Liserre,et al.  Filter-Based Active Damping of Voltage Source Converters With $LCL$ Filter , 2011, IEEE Transactions on Industrial Electronics.

[9]  C.E. Shannon,et al.  Communication in the Presence of Noise , 1949, Proceedings of the IRE.

[10]  Paolo Mattavelli,et al.  Analysis of Control-Delay Reduction for the Improvement of UPS Voltage-Loop Bandwidth , 2008, IEEE Transactions on Industrial Electronics.

[11]  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.

[12]  E. Mollerstedt,et al.  Out of control because of harmonics-an analysis of the harmonic response of an inverter locomotive , 2000, IEEE Control Systems.

[13]  Wettingen,et al.  The new standard EN 50388-2, Part 2 – Stability and Harmonics , 2014 .

[14]  Seung-Ki Sul,et al.  A compensation method for time delay of full digital synchronous frame current regulator of PWM AC drives , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[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]  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.

[17]  P. Stefanutti,et al.  Power Electronic Traction Transformer-Low Voltage Prototype , 2013, IEEE Transactions on Power Electronics.

[18]  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.