Robust collaborative consensus algorithm for decentralized economic dispatch with a practical communication network

Abstract This paper develops a robust collaborative consensus algorithm (RCCA) for decentralized economic dispatch (ED) with a practical communication network, which consists of switching topology, transmission delay and noise. The malignant effects of transmission delay and noise can be significantly reduced by using a decaying consensus gain function. Moreover, the virtual consensus variable is employed to provide great robustness in the presence of switching topology emerged in discrete-time multi-agent systems, thus RCCA is adequate for the plug-and-play of generators for decentralized ED. The performance of the proposed approach has been evaluated on an IEEE 39-bus system and an IEEE 118-bus system, respectively. Simulation results verify the effectiveness and robustness of RCCA.

[1]  D. B. Das,et al.  New multi-objective stochastic search technique for economic load dispatch , 1998 .

[2]  Soummya Kar,et al.  Distributed Consensus Algorithms in Sensor Networks With Imperfect Communication: Link Failures and Channel Noise , 2007, IEEE Transactions on Signal Processing.

[3]  Khashayar Khorasani,et al.  $H_{\infty}$ Consensus Achievement of Multi-Agent Systems With Directed and Switching Topology Networks , 2014, IEEE Transactions on Automatic Control.

[4]  S. M. Amin,et al.  Smart grid security, privacy, and resilient architectures: Opportunities and challenges , 2012, 2012 IEEE Power and Energy Society General Meeting.

[5]  Subhrakanti Dey,et al.  Stochastic consensus over noisy networks with Markovian and arbitrary switches , 2010, Autom..

[6]  Tingwen Huang,et al.  Second-Order Global Consensus in Multiagent Networks With Random Directional Link Failure , 2015, IEEE Transactions on Neural Networks and Learning Systems.

[7]  Tao Li,et al.  Mean square average-consensus under measurement noises and fixed topologies: Necessary and sufficient conditions , 2009, Autom..

[8]  José M. F. Moura,et al.  Weight Optimization for Consensus Algorithms With Correlated Switching Topology , 2009, IEEE Transactions on Signal Processing.

[9]  Hsiao-Hwa Chen,et al.  Smart Grid Communication: Its Challenges and Opportunities , 2013, IEEE Transactions on Smart Grid.

[10]  Zwe-Lee Gaing,et al.  Particle swarm optimization to solving the economic dispatch considering the generator constraints , 2003 .

[11]  Sun Hongbi.  Autonomous-Synergetic Energy Management System Family for Smart Grids: Concept,Architecture and Cases , 2014 .

[12]  Vahid Madani,et al.  The Situation Room: Control Center Analytics for Enhanced Situational Awareness , 2012, IEEE Power and Energy Magazine.

[13]  Randal W. Beard,et al.  Consensus seeking in multiagent systems under dynamically changing interaction topologies , 2005, IEEE Transactions on Automatic Control.

[14]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[15]  Weerakorn Ongsakul,et al.  Cuckoo search algorithm for non-convex economic dispatch , 2013 .

[16]  Mo-Yuen Chow,et al.  Convergence Analysis of the Incremental Cost Consensus Algorithm Under Different Communication Network Topologies in a Smart Grid , 2012, IEEE Transactions on Power Systems.

[17]  Jing Zhou,et al.  Convergence speed in distributed consensus over dynamically switching random networks , 2009, Autom..

[18]  Jian-Xin Xu,et al.  Consensus based approach for economic dispatch problem in a smart grid , 2013, IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society.

[19]  Guo-Ping Liu,et al.  Consensus of Discrete-Time Linear Networked Multi-Agent Systems With Communication Delays , 2013, IEEE Transactions on Automatic Control.

[20]  Gabriela Hug,et al.  Consensus + Innovations Approach for Distributed Multiagent Coordination in a Microgrid , 2015, IEEE Transactions on Smart Grid.

[21]  Xian Liu.  On Compact Formulation of Constraints Induced by Disjoint Prohibited-Zones , 2010, IEEE Transactions on Power Systems.

[22]  G. L. Viviani,et al.  Hierarchical Economic Dispatch for Piecewise Quadratic Cost Functions , 1984, IEEE Transactions on Power Apparatus and Systems.

[23]  A. Breipohl,et al.  Reserve constrained economic dispatch with prohibited operating zones , 1993 .

[24]  Yu Jilai.  A Multi-objective Expectation Control Model and Its Solutions for Energy-saving Power Dispatch Problems , 2010 .

[25]  Yuan Zhang,et al.  A robust distributed system incremental cost estimation algorithm for smart grid economic dispatch with communications information losses , 2016, J. Netw. Comput. Appl..

[26]  X. X. Zhou,et al.  Fast $\lambda$ -Iteration Method for Economic Dispatch With Prohibited Operating Zones , 2014, IEEE Transactions on Power Systems.

[27]  Richard M. Murray,et al.  Consensus problems in networks of agents with switching topology and time-delays , 2004, IEEE Transactions on Automatic Control.

[28]  Lihua Xie,et al.  Distributed consensus for multi-agent systems with delays and noises in transmission channels , 2011, Autom..

[29]  Frank L. Lewis,et al.  Distributed Consensus-Based Economic Dispatch With Transmission Losses , 2014, IEEE Transactions on Power Systems.

[30]  Shankar P. Bhattacharyya,et al.  Linear Control Theory , 2009 .

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

[32]  Tao Li,et al.  Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises , 2010, IEEE Transactions on Automatic Control.

[33]  Tao Yu,et al.  Equilibrium-Inspired Multiple Group Search Optimization With Synergistic Learning for Multiobjective Electric Power Dispatch , 2013, IEEE Transactions on Power Systems.

[34]  Rahmat-Allah Hooshmand,et al.  Emission, reserve and economic load dispatch problem with non-smooth and non-convex cost functions using the hybrid bacterial foraging-Nelder–Mead algorithm , 2012 .