Projected grid-forming control for current-limiting of power converters

Sustainability and resilience concerns have motivated an unprecedented transformation of the electric power systems towards massive integration of renewable generation interfaced by power electronics. In this context, voltage source converters using grid-forming control are envisioned to provide services that so far have been provided by synchronous machines. In contrast to synchronous machines, voltage source converters are subject to stringent overcurrent limits. By exploiting the inherent time-scale separation between the inner control loops, the grid-forming reference dynamics (i.e., droop control, virtual oscillator control, etc and the transmission network, we highlight the well-known fact that the grid-forming reference dynamics need to be restricted to limit the converter output current without compromising stability. Next, we propose to formalize the problem of limiting the output current of a grid-forming converter by projecting the grid-forming reference dynamics onto a constraint on the output current. The main contribution is a projected droop controller that can be implemented using only local measurements. Moreover, we link the results to current limiting approaches using virtual impedance. Finally, we use a high-fidelity simulation to show that projected droop control outperforms virtual impedance current limiting.

[1]  João Pedro Hespanha,et al.  Synchronization of Identical Oscillators Coupled Through a Symmetric Network With Dynamics: A Constructive Approach With Applications to Parallel Operation of Inverters , 2015, IEEE Transactions on Automatic Control.

[2]  Boon-Teck Ooi,et al.  Managing zero sequence in voltage source converter , 2002, Conference Record of the 2002 IEEE Industry Applications Conference. 37th IAS Annual Meeting (Cat. No.02CH37344).

[3]  Wilhelm Winter,et al.  Pushing the Limits: Europe's New Grid: Innovative Tools to Combat Transmission Bottlenecks and Reduced Inertia , 2015, IEEE Power and Energy Magazine.

[4]  Jon Are Suul,et al.  A Virtual synchronous machine implementation for distributed control of power transformers in SmartGrids , 2015 .

[5]  Dominic Gross,et al.  Control of low-inertia power grids: A model reduction approach , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[6]  Zhen Wang,et al.  Synchronous Instability Mechanism of P-f Droop-Controlled Voltage Source Converter Caused by Current Saturation , 2016, IEEE Transactions on Power Systems.

[7]  Brian B. Johnson,et al.  Synchronization of Parallel Single-Phase Inverters With Virtual Oscillator Control , 2014, IEEE Transactions on Power Electronics.

[8]  Gabriela Hug,et al.  Time-varying Projected Dynamical Systems with Applications to Feedback Optimization of Power Systems , 2018, 2018 IEEE Conference on Decision and Control (CDC).

[9]  T.C. Green,et al.  Modeling, Analysis and Testing of Autonomous Operation of an Inverter-Based Microgrid , 2007, IEEE Transactions on Power Electronics.

[10]  Peter W. Sauer,et al.  Power System Dynamics and Stability , 1997 .

[11]  Nima Monshizadeh,et al.  Bregman Storage Functions for Microgrid Control , 2015, IEEE Transactions on Automatic Control.

[12]  O. Gomis-Bellmunt,et al.  Current Control Reference Calculation Issues for the Operation of Renewable Source Grid Interface VSCs Under Unbalanced Voltage Sags , 2011, IEEE Transactions on Power Electronics.

[13]  Mansour Mohseni,et al.  Review of international grid codes for wind power integration: Diversity, technology and a case for global standard , 2012 .

[14]  Dominic Groß,et al.  Global Phase and Magnitude Synchronization of Coupled Oscillators With Application to the Control of Grid-Forming Power Inverters , 2017, IEEE Transactions on Automatic Control.

[15]  Guangya Yang,et al.  A Review on Grid-Connected Converter Control for Short-Circuit Power Provision Under Grid Unbalanced Faults , 2018, IEEE Transactions on Power Delivery.

[16]  Francesco Vasca,et al.  Model Order Reductions for Stability Analysis of Islanded Microgrids With Droop Control , 2015, IEEE Transactions on Industrial Electronics.

[17]  Marcello Colombino,et al.  The Effect of Transmission-Line Dynamics on Grid-Forming Dispatchable Virtual Oscillator Control , 2018, IEEE Transactions on Control of Network Systems.

[18]  Andrew D. Paquette,et al.  Virtual Impedance Current Limiting for Inverters in Microgrids With Synchronous Generators , 2013, IEEE Transactions on Industry Applications.

[19]  Florian Dörfler,et al.  Voltage stabilization in microgrids via quadratic droop control , 2013, 52nd IEEE Conference on Decision and Control.

[20]  Mohit Sinha,et al.  Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators , 2014, IEEE Transactions on Control of Network Systems.

[21]  Yun Wei Li,et al.  Analysis, Design, and Implementation of Virtual Impedance for Power Electronics Interfaced Distributed Generation , 2011, IEEE Transactions on Industry Applications.

[22]  Manfred Morari,et al.  Robust control of processes subject to saturation nonlinearities , 1990 .

[23]  Gabriela Hug,et al.  Foundations and Challenges of Low-Inertia Systems (Invited Paper) , 2018, 2018 Power Systems Computation Conference (PSCC).

[24]  R. Adapa,et al.  Control of parallel connected inverters in stand-alone AC supply systems , 1991, Conference Record of the 1991 IEEE Industry Applications Society Annual Meeting.

[25]  Josep M. Guerrero,et al.  A Current Limiting Strategy to Improve Fault Ride-Through of Inverter Interfaced Autonomous Microgrids , 2017, IEEE Transactions on Smart Grid.

[26]  James L. Kirtley,et al.  A framework for development of universal rules for microgrids stability and control , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[27]  Florian Dörfler,et al.  Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators , 2009, Proceedings of the 2010 American Control Conference.

[28]  James L. Kirtley,et al.  High-Fidelity Model Order Reduction for Microgrids Stability Assessment , 2018, IEEE Transactions on Power Systems.

[29]  Qing-Chang Zhong,et al.  Synchronverters: Inverters That Mimic Synchronous Generators , 2011, IEEE Transactions on Industrial Electronics.

[30]  Xavier Guillaud,et al.  The Migrate project: the challenges of operating a transmission grid with only inverter-based generation. A grid-forming control improvement with transient current-limiting control , 2017 .

[31]  Enrique Mallada,et al.  Asymptotic convergence of constrained primal-dual dynamics , 2015, Syst. Control. Lett..

[32]  Aniruddha M. Gole,et al.  Enhanced Instantaneous Power Theory for Control of Grid Connected Voltage Sourced Converters Under Unbalanced Conditions , 2017, IEEE Transactions on Power Electronics.