Distributed Robust Finite-Time Secondary Voltage and Frequency Control of Islanded Microgrids

This paper presents a distributed, robust, finite-time secondary control for both voltage and frequency restoration of an islanded microgrid with droop-controlled inverter-based distributed generators (DGs). The distributed cooperative secondary control is fully distributed (i.e., uses only the information of neighboring DGs that can communicate with one another through a sparse communication network). In contrast to existing distributed methods that require a detailed model of the system (such as line impedances, loads, other DG units parameters, and even the microgrid configuration, which are practically unknown), the proposed protocols are synthesized by considering the unmodeled dynamics, unknown disturbances, and uncertainties in their models. The other novel idea in this paper is that the consensus-based distributed controllers restore the islanded microgrid's voltage magnitudes and frequency to their reference values for all DGs within finite time, irrespective of parametric uncertainties, unmodeled dynamics, and disturbances, while providing accurate real-power sharing. Moreover, the proposed method considers the coupling between the frequency and voltage of the islanded microgrid. Unlike conventional distributed controllers, the proposed approach quickly reaches consensus and exhibits a more accurate robust performance. Finally, we verify the proposed control strategy's performance using the MATLAB/SimPowerSystems toolbox.

[1]  Frank L. Lewis,et al.  Finite-time frequency synchronization in microgrids , 2014, 2014 IEEE Energy Conversion Congress and Exposition (ECCE).

[2]  Frank L. Lewis,et al.  Secondary control of microgrids based on distributed cooperative control of multi-agent systems , 2013 .

[3]  Vassilios G. Agelidis,et al.  Distributed Cooperative Control of Microgrid Storage , 2015, IEEE Transactions on Power Systems.

[4]  Frank L. Lewis,et al.  Distributed Cooperative Secondary Control of Microgrids Using Feedback Linearization , 2013, IEEE Transactions on Power Systems.

[5]  Guoqiang Hu,et al.  A Distributed Feedforward Approach to Cooperative Control of AC Microgrids , 2016, IEEE Transactions on Power Systems.

[6]  Francesco Bullo,et al.  Synchronization and power sharing for droop-controlled inverters in islanded microgrids , 2012, Autom..

[7]  Ali Davoudi,et al.  Hierarchical Structure of Microgrids Control System , 2012, IEEE Transactions on Smart Grid.

[8]  Christoforos N. Hadjicostis,et al.  Finite-Time Approximate Consensus and Its Application to Distributed Frequency Regulation in Islanded AC Microgrids , 2015, 2015 48th Hawaii International Conference on System Sciences.

[9]  Shuanghe Yu,et al.  Finite-Time Consensus for Second-Order Multi-Agent Systems with Disturbances by Integral Sliding Mode Algorithm based on Relative Information , 2018, 2018 37th Chinese Control Conference (CCC).

[10]  Seddik Bacha,et al.  Design of Robust Distributed Control for Interconnected Microgrids , 2016, IEEE Transactions on Smart Grid.

[11]  Frank L. Lewis,et al.  A Multiobjective Distributed Control Framework for Islanded AC Microgrids , 2014, IEEE Transactions on Industrial Informatics.

[12]  Shihua Li,et al.  Finite-Time Attitude Tracking Control of Spacecraft With Application to Attitude Synchronization , 2011, IEEE Transactions on Automatic Control.

[13]  Khac Duc Do,et al.  Flocking for Multiple Elliptical Agents With Limited Communication Ranges , 2011, IEEE Transactions on Robotics.

[14]  Shihua Li,et al.  Finite-time tracking control of multiple nonholonomic mobile robots , 2012, J. Frankl. Inst..

[15]  Josep M. Guerrero,et al.  Multiagent-Based Reactive Power Sharing and Control Model for Islanded Microgrids , 2016, IEEE Transactions on Sustainable Energy.

[16]  G. Diaz,et al.  Scheduling of Droop Coefficients for Frequency and Voltage Regulation in Isolated Microgrids , 2010, IEEE Transactions on Power Systems.

[17]  M Castilla,et al.  Hierarchical Control of Intelligent Microgrids , 2010, IEEE Industrial Electronics Magazine.

[18]  P.W. Lehn,et al.  Control and Power Management of Converter Fed Microgrids , 2008, IEEE Transactions on Power Systems.

[19]  Thomas Seel,et al.  Voltage Stability and Reactive Power Sharing in Inverter-Based Microgrids With Consensus-Based Distributed Voltage Control , 2016, IEEE Transactions on Control Systems Technology.

[20]  Juan C. Vasquez,et al.  Distributed Secondary Control for Islanded Microgrids—A Novel Approach , 2014, IEEE Transactions on Power Electronics.

[21]  Juan C. Vasquez,et al.  Hierarchical Control of Droop-Controlled AC and DC Microgrids—A General Approach Toward Standardization , 2009, IEEE Transactions on Industrial Electronics.

[22]  Feng Gao,et al.  Robust finite-time control approach for robotic manipulators , 2010 .

[23]  Frank L. Lewis,et al.  Droop-Free Distributed Control for AC Microgrids , 2016 .

[24]  Fanghong Guo,et al.  Distributed Secondary Voltage and Frequency Restoration Control of Droop-Controlled Inverter-Based Microgrids , 2015, IEEE Transactions on Industrial Electronics.

[25]  Juan C. Vasquez,et al.  Secondary Frequency and Voltage Control of Islanded Microgrids via Distributed Averaging , 2015, IEEE Transactions on Industrial Electronics.

[26]  Miroslaw Galicki,et al.  Finite-time control of robotic manipulators , 2015, Autom..

[27]  Zhihong Man,et al.  Robust Finite-Time Consensus Tracking Algorithm for Multirobot Systems , 2009, IEEE/ASME Transactions on Mechatronics.

[28]  Josep M. Guerrero,et al.  Secondary Control Strategies for Frequency Restoration in Islanded Microgrids with Consideration of Communication Delays , 2015 .

[29]  Josep M. Guerrero,et al.  Advanced Control Architectures for Intelligent Microgrids—Part I: Decentralized and Hierarchical Control , 2013, IEEE Transactions on Industrial Electronics.

[30]  Frank L. Lewis,et al.  Distributed Adaptive Voltage Control of Inverter-Based Microgrids , 2014, IEEE Transactions on Energy Conversion.

[31]  James Lam,et al.  Finite-Time Consensus of Multiagent Systems With a Switching Protocol , 2016, IEEE Transactions on Neural Networks and Learning Systems.

[32]  Ziyang Meng,et al.  Distributed Containment Control for Multiple Autonomous Vehicles With Double-Integrator Dynamics: Algorithms and Experiments , 2011, IEEE Transactions on Control Systems Technology.

[33]  Tao Li,et al.  Finite-Time Consensus for Leader-Following Second-Order Multi-Agent Networks , 2012, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[35]  Mehdi Savaghebi,et al.  Secondary Control Scheme for Voltage Unbalance Compensation in an Islanded Droop-Controlled Microgrid , 2012, IEEE Transactions on Smart Grid.

[36]  Z. Qu,et al.  Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles , 2009 .