Distributed power dispatch strategy for smart grids with nonuniform communication delays

In this paper, an economic power dispatch problem is considered for smart grids. Firstly, the power dispatch problem is described by a constrained optimization problem, which is solved by Lagrange multiplier and Karush-Kuhn-Tucker condition. The incremental costs of generators are shown to reach consensus when the optimization problem is solved. Secondly, a new dynamic dispatch strategy is proposed for each generator when nonuniform time-varying delays are involved in the communication network for the group of generators. A necessary and sufficient condition is provided for the power dispatch problem when the communication network is fixed and directed. Finally, some numerical simulations are given to validate the theoretical results.

[1]  Guanghui Wen,et al.  Distributed consensus strategy for economic power dispatch in a smart grid , 2015, 2015 10th Asian Control Conference (ASCC).

[2]  Zhou Luan-jie,et al.  Delay-Dependent Robust Stabilization of Uncertain State-Delayed Systems , 2004 .

[3]  Guanghui Wen,et al.  Distributed consensus strategy for economic power dispatch in a smart grid with communication time delays , 2016, 2016 IEEE International Conference on Industrial Technology (ICIT).

[4]  Wei Zhang,et al.  Online Optimal Generation Control Based on Constrained Distributed Gradient Algorithm , 2015, IEEE Transactions on Power Systems.

[5]  A. Selvakumar,et al.  A New Particle Swarm Optimization Solution to Nonconvex Economic Dispatch Problems , 2007, IEEE Transactions on Power Systems.

[6]  Joong-Rin Shin,et al.  A particle swarm optimization for economic dispatch with nonsmooth cost functions , 2005, IEEE Transactions on Power Systems.

[7]  Tao Guo,et al.  An algorithm for combined heat and power economic dispatch , 1996 .

[8]  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.

[9]  Jack K. Hale,et al.  Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.

[10]  Ruggero Carli,et al.  A distributed control algorithm for the minimization of the power generation cost in smart micro-grid , 2014, 53rd IEEE Conference on Decision and Control.

[11]  Ting-Zhu Huang,et al.  Consensus of second-order multi-agent systems with nonuniform time-varying delays , 2012, Neurocomputing.

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

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

[14]  Jiangping Hu,et al.  Consensus control for multi-agent systems with double-integrator dynamics and time delays , 2010 .

[15]  Anastasios G. Bakirtzis,et al.  Genetic algorithm solution to the economic dispatch problem , 1994 .

[16]  Feng Liu,et al.  Initialization-free distributed algorithms for optimal resource allocation with feasibility constraints and application to economic dispatch of power systems , 2015, Autom..

[17]  Xinghuo Yu,et al.  The New Frontier of Smart Grids , 2011, IEEE Industrial Electronics Magazine.

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

[19]  Randal W. Beard,et al.  Distributed Consensus in Multi-vehicle Cooperative Control - Theory and Applications , 2007, Communications and Control Engineering.

[20]  Jiangping Hu,et al.  Leader-following coordination of multi-agent systems with coupling time delays , 2007, 0705.0401.