On Distributed Optimization for Supply Demand Coordination in Cyber Physical Energy Systems

It is of great practical interest to coordinate the stochastic supply and uncertain demand on electricity in a cyber physical energy system (CPES) such as urban energy internet and micro grid of buildings, especially by scalable distributed optimization algorithms. We consider this important problem in this paper and make the following major contributions. First, we consider the coordination between the supply of wind power generation and the charging demand from a fleet of shared electric vehicles in urban cities. The problem is formulated as a Markov decision process with average cost over finite stages. Second, we propose index policy, which is suitable for distributed implementation. Third, we numerically compare the index policy with Q-learning algorithms on case studies. The results show that index policies are scalable and achieve good performance in general. We hope this work sheds insight on distributed optimization for supply demand coordination in CPES in general.

[1]  Qing-Shan Jia,et al.  Event-driven optimal control of central air-conditioning systems: Event-space establishment , 2018 .

[2]  Yunjian Xu,et al.  Deadline Scheduling as Restless Bandits , 2018, IEEE Transactions on Automatic Control.

[3]  Qing-Shan Jia,et al.  A Decentralized Stay-Time Based Occupant Distribution Estimation Method for Buildings , 2015, IEEE Transactions on Automation Science and Engineering.

[4]  Junjie Wu,et al.  On distributed event-based optimization for shared economy in cyber-physical energy systems , 2018, Science China Information Sciences.

[5]  Spring Berman,et al.  Mean-field controllability and decentralized stabilization of Markov chains , 2017, 2017 IEEE 56th Annual Conference on Decision and Control (CDC).

[6]  Carlos Henggeler Antunes,et al.  Energy management systems aggregators: A literature survey , 2017 .

[7]  Martin J. Wainwright,et al.  Dual Averaging for Distributed Optimization: Convergence Analysis and Network Scaling , 2010, IEEE Transactions on Automatic Control.

[8]  Qing-Shan Jia,et al.  Robust Scheduling of EV Charging Load With Uncertain Wind Power Integration , 2018, IEEE Transactions on Smart Grid.

[9]  Qing-Shan Jia,et al.  A Multi-Timescale and Bilevel Coordination Approach for Matching Uncertain Wind Supply With EV Charging Demand , 2017, IEEE Transactions on Automation Science and Engineering.

[10]  Olivier Sigaud,et al.  Factored Markov Decision Processes , 2013 .

[11]  Mohammad Saad Alam,et al.  A Comprehensive Review of Wireless Charging Technologies for Electric Vehicles , 2018, IEEE Transactions on Transportation Electrification.

[12]  Stephen P. Boyd,et al.  Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers , 2011, Found. Trends Mach. Learn..

[13]  Qing-Shan Jia,et al.  Matching EV Charging Load With Uncertain Wind: A Simulation-Based Policy Improvement Approach , 2015, IEEE Transactions on Smart Grid.

[14]  P. T. Krein,et al.  Review of the Impact of Vehicle-to-Grid Technologies on Distribution Systems and Utility Interfaces , 2013, IEEE Transactions on Power Electronics.

[15]  Qing-Shan Jia,et al.  A Simulation-Based Policy Improvement Method for Joint-Operation of Building Microgrids With Distributed Solar Power and Battery , 2018, IEEE Transactions on Smart Grid.

[16]  Peter Dayan,et al.  Q-learning , 1992, Machine Learning.

[17]  Robert D. Nowak,et al.  Quantized incremental algorithms for distributed optimization , 2005, IEEE Journal on Selected Areas in Communications.

[18]  Salman Habib,et al.  Impact analysis of vehicle-to-grid technology and charging strategies of electric vehicles on distribution networks – A review , 2015 .

[19]  H. Vincent Poor,et al.  A Collaborative Training Algorithm for Distributed Learning , 2009, IEEE Transactions on Information Theory.

[20]  Chris Watkins,et al.  Learning from delayed rewards , 1989 .

[21]  Pandian Vasant,et al.  Novel metaheuristic optimization strategies for plug-in hybrid electric vehicles: A holistic review , 2016, Intell. Decis. Technol..

[22]  Zhile Yang,et al.  Computational scheduling methods for integrating plug-in electric vehicles with power systems: A review , 2015 .

[23]  Zechun Hu,et al.  Distributed Coordination of EV Charging With Renewable Energy in a Microgrid of Buildings , 2018, IEEE Transactions on Smart Grid.

[24]  Neil Immerman,et al.  The Complexity of Decentralized Control of Markov Decision Processes , 2000, UAI.

[25]  Qing-Shan Jia,et al.  Optimal Control of Multiroom HVAC System: An Event-Based Approach , 2016, IEEE Transactions on Control Systems Technology.

[26]  Junjie Wu,et al.  Event-Based HVAC Control—A Complexity-Based Approach , 2018, IEEE Transactions on Automation Science and Engineering.

[27]  Martin L. Puterman,et al.  Markov Decision Processes: Discrete Stochastic Dynamic Programming , 1994 .

[28]  Zhu Han,et al.  Wireless Charging Technologies: Fundamentals, Standards, and Network Applications , 2015, IEEE Communications Surveys & Tutorials.

[29]  Asuman E. Ozdaglar,et al.  Distributed Subgradient Methods for Multi-Agent Optimization , 2009, IEEE Transactions on Automatic Control.

[30]  X. Guan,et al.  A A Tutorial on Event-Based Optimization with Application in Energy Internet , 2017 .

[31]  Qing-Shan Jia,et al.  Operational Optimization for Microgrid of Buildings with Distributed Solar Power and Battery , 2017 .