On performance limitations of large-scale networks with distributed feedback control

We address the question of performance of large-scale networks with distributed feedback control. We consider networked dynamical systems with single and double integrator dynamics, subject to dist ...

[1]  Karl Henrik Johansson,et al.  Distributed PI-control with applications to power systems frequency control , 2014, 2014 American Control Conference.

[2]  Basilio Gentile,et al.  On reactive power flow and voltage stability in microgrids , 2014, 2014 American Control Conference.

[3]  S. Melzer,et al.  Optimal regulation of systems described by a countably infinite number of objects , 1971 .

[4]  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.

[5]  J. K. Hedrick,et al.  Constant Spacing Strategies for Platooning in Automated Highway Systems , 1999 .

[6]  U. Feige,et al.  Spectral Graph Theory , 2015 .

[7]  Milad Siami,et al.  Fundamental Limits and Tradeoffs on Disturbance Propagation in Large-Scale Dynamical Networks , 2014 .

[8]  Bassam Bamieh,et al.  The price of synchrony: Resistive losses due to phase synchronization in power networks , 2012, 2013 American Control Conference.

[9]  J. Hedrick,et al.  String stability of interconnected systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[10]  K. R. Padiyar,et al.  ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITY , 1990 .

[11]  Jiming Chen,et al.  Building-Environment Control With Wireless Sensor and Actuator Networks: Centralized Versus Distributed , 2010, IEEE Transactions on Industrial Electronics.

[12]  Karl Henrik Johansson,et al.  Distributed Control of Networked Dynamical Systems: Static Feedback, Integral Action and Consensus , 2013, IEEE Transactions on Automatic Control.

[13]  M. Balaji,et al.  CONTROL OF POWER INVERTERS IN RENEWABLE ENERGY AND SMART GRID INTEGRATION , 2013 .

[14]  Marco Liserre,et al.  Grid Converters for Photovoltaic and Wind Power Systems , 2011 .

[15]  Felix F. Wu,et al.  Foundations of the potential energy boundary surface method for power system transient stability analysis , 1988 .

[16]  F.F. Wu,et al.  Direct methods for transient stability analysis of power systems: Recent results , 1985, Proceedings of the IEEE.

[17]  Karl Henrik Johansson,et al.  Distributed vs. centralized power systems frequency control , 2013, 2013 European Control Conference (ECC).

[18]  A.R. Bergen,et al.  A Structure Preserving Model for Power System Stability Analysis , 1981, IEEE Transactions on Power Apparatus and Systems.

[19]  Prabir Barooah,et al.  Stability and robustness of large platoons of vehicles with double‐integrator models and nearest neighbor interaction , 2013 .

[20]  Adilson E. Motter,et al.  Comparative analysis of existing models for power-grid synchronization , 2015, 1501.06926.

[21]  Fu Lin,et al.  Optimal Control of Vehicular Formations With Nearest Neighbor Interactions , 2011, IEEE Transactions on Automatic Control.

[22]  Alessandro Astolfi,et al.  Conditions for stability of droop-controlled inverter-based microgrids , 2014, Autom..

[23]  Jati K. Sengupta,et al.  Stochastic Control Theory , 1997 .

[24]  BoydStephen,et al.  Distributed average consensus with least-mean-square deviation , 2007 .

[25]  Susanne Ebersbach,et al.  Power System Analysis And Design , 2016 .

[26]  Bassam Bamieh,et al.  Consensus and Coherence in Fractal Networks , 2013, IEEE Transactions on Control of Network Systems.

[27]  Florian Dörfler,et al.  Placing Rotational Inertia in Power Grids , 2016, 2016 American Control Conference (ACC).

[28]  J.A.P. Lopes,et al.  Defining control strategies for MicroGrids islanded operation , 2006, IEEE Transactions on Power Systems.

[29]  Florian Dörfler,et al.  Droop-Controlled Inverters are Kuramoto Oscillators , 2012, ArXiv.

[30]  Michael Chertkov,et al.  Synchronization in complex oscillator networks and smart grids , 2012, Proceedings of the National Academy of Sciences.

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

[32]  Qingling Zhang,et al.  Eigenvalue Inequalities for Matrix Product , 2006, IEEE Transactions on Automatic Control.

[33]  Tom Markvart.  Microgrids: power systems for the 21st century? , 2006 .

[35]  H. Farhangi,et al.  The path of the smart grid , 2010, IEEE Power and Energy Magazine.

[36]  T. Carroll,et al.  Master Stability Functions for Synchronized Coupled Systems , 1998 .

[37]  Choujun Zhan,et al.  On the distributions of Laplacian eigenvalues versus node degrees in complex networks , 2010 .

[38]  Enrique Mallada,et al.  Improving damping of power networks: Power scheduling and impedance adaptation , 2011, IEEE Conference on Decision and Control and European Control Conference.

[39]  Wei Ren,et al.  Information consensus in multivehicle cooperative control , 2007, IEEE Control Systems.

[40]  R. Horowitz,et al.  Control design of an automated highway system , 2000, Proceedings of the IEEE.

[41]  David G. Wilson,et al.  Transient stability and control of renewable generators based on Hamiltonian Surface Shaping and Power Flow Control: Part I-theory , 2010, 2010 IEEE International Conference on Control Applications.

[42]  M. Athans,et al.  On the optimal error regulation of a string of moving vehicles , 1966 .

[43]  A. V. Meier.  Electric power systems : a conceptual introduction , 2006 .

[44]  I. Gutman,et al.  Generalized inverse of the Laplacian matrix and some applications , 2004 .

[45]  F. Bullo,et al.  Spectral Analysis of Synchronization in a Lossless Structure-Preserving Power Network Model , 2010, 2010 First IEEE International Conference on Smart Grid Communications.

[46]  R. Belmans,et al.  Usefulness of DC power flow for active power flow analysis , 2005, IEEE Power Engineering Society General Meeting, 2005.

[47]  Seth A. Myers,et al.  Spontaneous synchrony in power-grid networks , 2013, Nature Physics.

[48]  Milad Siami,et al.  Fundamental limits on robustness measures in networks of interconnected systems , 2013, 52nd IEEE Conference on Decision and Control.

[49]  Enrique Mallada,et al.  Distributed frequency control for stability and economic dispatch in power networks , 2015, 2015 American Control Conference (ACC).

[50]  Fu Lin,et al.  Design of Optimal Sparse Interconnection Graphs for Synchronization of Oscillator Networks , 2013, IEEE Transactions on Automatic Control.

[51]  Michael Chertkov,et al.  Sparsity-Promoting Optimal Wide-Area Control of Power Networks , 2013, IEEE Transactions on Power Systems.

[52]  Fernando Paganini,et al.  Distributed control of spatially invariant systems , 2002, IEEE Trans. Autom. Control..

[53]  Peter G. Doyle,et al.  Random Walks and Electric Networks: REFERENCES , 1987 .

[54]  Emma Sj,et al.  The Price of Synchrony: Evaluating Transient Power Losses in Renewable Energy Integrated Power Networks , 2013 .

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

[56]  Mi-Ching Tsai,et al.  Robust and Optimal Control , 2014 .

[57]  Henrik Sandberg,et al.  Improving performance of droop-controlled microgrids through distributed PI-control , 2016, 2016 American Control Conference (ACC).

[58]  Chet Sandberg,et al.  The Role of Energy Storage in Development of Smart Grids , 2011, Proceedings of the IEEE.

[59]  J. G. Slootweg,et al.  Reduced‐Order Modelling of Wind Turbines , 2012 .

[60]  George Cybenko,et al.  Dynamic Load Balancing for Distributed Memory Multiprocessors , 1989, J. Parallel Distributed Comput..

[61]  H. Chiang.  Direct Methods for Stability Analysis of Electric Power Systems: Theoretical Foundation, BCU Methodologies, and Applications , 2010 .

[62]  P. Kundur,et al.  Definition and classification of power system stability IEEE/CIGRE joint task force on stability terms and definitions , 2004, IEEE Transactions on Power Systems.

[63]  Bill Rose,et al.  Microgrids , 2018, Smart Grids.

[64]  Leon Freris,et al.  Renewable energy in power systems , 2008 .

[65]  Amr El Abbadi,et al.  Convergence Rates of Distributed Average Consensus With Stochastic Link Failures , 2010, IEEE Transactions on Automatic Control.

[66]  Prabir Barooah,et al.  On Achieving Size-Independent Stability Margin of Vehicular Lattice Formations With Distributed Control , 2012, IEEE Transactions on Automatic Control.

[67]  Roger Kearsley.  Restoration in Sweden and Experience Gained from the Blackout of 1983 , 1987, IEEE Transactions on Power Systems.

[68]  Florian Dörfler,et al.  Kron Reduction of Graphs With Applications to Electrical Networks , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[69]  Bassam Bamieh,et al.  Coherence in Large-Scale Networks: Dimension-Dependent Limitations of Local Feedback , 2011, IEEE Transactions on Automatic Control.

[70]  Dennice F. Gayme,et al.  Minimizing interactions in mixed oscillator networks , 2014, 53rd IEEE Conference on Decision and Control.

[71]  Ulla Miekkala,et al.  Graph properties for splitting with grounded Laplacian matrices , 1993 .

[72]  Chia-Chi Chu,et al.  Consensus-based droop control synthesis for multiple power converters in lossy micro-grids , 2013, 2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC).

[73]  F. Bullo,et al.  Topological equivalence of a structure-preserving power network model and a non-uniform Kuramoto model of coupled oscillators , 2011, IEEE Conference on Decision and Control and European Control Conference.

[74]  Martin Andreasson.  Control of Multi-Agent Systems with Applications to Distributed Frequency Control of Power Systems , 2013 .

[75]  J. G. Slootweg,et al.  Impacts of Wind Power on Power System Dynamics , 2005 .

[76]  Pravin Varaiya,et al.  Smart cars on smart roads: problems of control , 1991, IEEE Trans. Autom. Control..

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

[78]  João Pedro Hespanha,et al.  Mistuning-Based Control Design to Improve Closed-Loop Stability Margin of Vehicular Platoons , 2008, IEEE Transactions on Automatic Control.