Reactive power consensus in microgrids

The use of microgrids for the integration of renewable energy sources and for the electric supply of rural or isolated areas involves a number of problems. One of these is reactive power sharing. Here we propose a consensus based approach to study different control strategies to achieve reactive power sharing and to numerically evaluate their performance. For that we propose a linear approximation of the microgrid power dynamics and define performance indicators based on optimization problems with LMI restrictions. These indicators are then used in a realistic simulation example to evaluate and design different consensus algorithms.

[1]  Pedro Luis Dias Peres,et al.  Hinfinityand H2 guaranteed costs computation for uncertain linear systems , 1997, Int. J. Syst. Sci..

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

[3]  Johan Löfberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004 .

[4]  Gordon F. Royle,et al.  Algebraic Graph Theory , 2001, Graduate texts in mathematics.

[5]  Johannes Schiffer,et al.  Synchronization of droop-controlled microgrids with distributed rotational and electronic generation , 2013, 52nd IEEE Conference on Decision and Control.

[6]  Miguel Parada Contzen.  Analysis and design of output consensus algorithms for agents with linear dynamics , 2015, 2015 European Control Conference (ECC).

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

[8]  Jorg Raisch,et al.  Active power consensus in microgrids , 2015, 2015 International Symposium on Smart Electric Distribution Systems and Technologies (EDST).

[9]  Thomas Seel,et al.  A consensus-based distributed voltage control for reactive power sharing in microgrids , 2014, 2014 European Control Conference (ECC).

[10]  R. Palma-Behnke,et al.  A social SCADA approach for a renewable based microgrid — The Huatacondo project , 2011, 2011 IEEE Power and Energy Society General Meeting.

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

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

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

[14]  Johannes Schiffer,et al.  On power sharing and stability in autonomous inverter-based microgrids , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[15]  Magnus Egerstedt,et al.  Graph Theoretic Methods in Multiagent Networks , 2010, Princeton Series in Applied Mathematics.

[16]  F. Blaabjerg,et al.  Control of Power Converters in AC Microgrids , 2012, IEEE Transactions on Power Electronics.

[17]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in System and Control Theory , 1994, Studies in Applied Mathematics.

[18]  D.,et al.  H ∞ and H 2 guaranteed costs computation for uncertain linear systems , 2012 .