Optimal power flow with large-scale storage integration

Restructuring of the electric power industry along with mandates to integrate renewable energy sources is introducing new challenges for the electric power system. Intermittent power sources, in particular, require mitigation strategies in order to maintain consistent power on the electric grid. We investigate distributed energy storage as one such strategy. Our model for optimal power flow with storage augments the usual formulation by adding simple charge/discharge dynamics for energy storage collocated with load and/or generation buses cast as a finite-time optimal control problem. We first propose a solution strategy that uses a convex optimization based relaxation to solve the optimal control problem. We then use this framework to illustrate the effects of various levels of energy storage using the topology of IEEE benchmark systems along with both time-invariant and demand-based cost functions. The addition of energy storage and demand-based cost functions significantly reduces the generation costs and flattens the generation profiles.

[1]  R. Jabr.  Optimal Power Flow Using an Extended Conic Quadratic Formulation , 2008, IEEE Transactions on Power Systems.

[2]  E. Sortomme,et al.  Optimal Power Flow for a System of Microgrids with Controllable Loads and Battery Storage , 2009, 2009 IEEE/PES Power Systems Conference and Exposition.

[3]  Jos F. Sturm,et al.  A Matlab toolbox for optimization over symmetric cones , 1999 .

[4]  R. Adapa,et al.  A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches , 1999 .

[5]  S. Oren,et al.  Flow-Based Transmission Rights and Congestion Management , 2000 .

[6]  Thomas Ackermann,et al.  Wind Power in Power Systems , 2005 .

[7]  G. Andersson,et al.  A modeling and optimization approach for multiple energy carrier power flow , 2005, 2005 IEEE Russia Power Tech.

[8]  R. Jabr.  Radial distribution load flow using conic programming , 2006, IEEE Transactions on Power Systems.

[9]  James M. Eyer,et al.  ENERGY STORAGE FOR A COMPETITIVE POWER MARKET , 1996 .

[10]  Robert J. Thomas,et al.  MATPOWER's extensible optimal power flow architecture , 2009, 2009 IEEE Power & Energy Society General Meeting.

[11]  Ufuk Topcu,et al.  A simple optimal power flow model with energy storage , 2010, 49th IEEE Conference on Decision and Control (CDC).

[12]  J. Dyer,et al.  CALIFORNIA'S ELECTRICITY GENERATION AND TRANSMISSION INTERCONNECTION NEEDS UNDER ALTERNATIVE SCENARIOS Assessment of Resources, Demand, Need For Transmission Interconnections, Policy Issues and Recommendations For Long Term Transmission Planning , 2003 .

[13]  Ufuk Topcu,et al.  Optimal placement of energy storage in the grid , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[14]  Ufuk Topcu,et al.  Risk-Mitigated Optimal Power Flow with High Wind Penetration , 2012 .

[15]  K. Fujisawa,et al.  Semidefinite programming for optimal power flow problems , 2008 .

[16]  Antonio J. Conejo,et al.  Multiperiod optimal power flow using Benders decomposition , 2000 .

[17]  K. M. Chandy,et al.  Load-shedding probabilities with hybrid renewable power generation and energy storage , 2010, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[18]  Sarvapali D. Ramchurn,et al.  Agent-based micro-storage management for the Smart Grid , 2010, AAMAS.

[19]  Francisco D. Galiana,et al.  A survey of the optimal power flow literature , 1991 .

[20]  J.P. Barton,et al.  Energy storage and its use with intermittent renewable energy , 2004, IEEE Transactions on Energy Conversion.

[21]  K. Pandya,et al.  A SURVEY OF OPTIMAL POWER FLOW , 2008 .

[22]  W. Hogan.  Contract networks for electric power transmission , 1992 .

[23]  R.B. Schainker,et al.  Executive overview: energy storage options for a sustainable energy future , 2004, IEEE Power Engineering Society General Meeting, 2004..

[24]  Javad Lavaei.  Zero duality gap for classical opf problem convexifies fundamental nonlinear power problems , 2011, Proceedings of the 2011 American Control Conference.

[25]  Y. M. Atwa,et al.  Optimal Allocation of ESS in Distribution Systems With a High Penetration of Wind Energy , 2010, IEEE Transactions on Power Systems.

[26]  Jan T. Bialasiewicz,et al.  Power-Electronic Systems for the Grid Integration of Renewable Energy Sources: A Survey , 2006, IEEE Transactions on Industrial Electronics.

[27]  J. Tester,et al.  Sustainable Energy: Choosing Among Options , 2005 .

[28]  J. Lofberg,et al.  YALMIP : a toolbox for modeling and optimization in MATLAB , 2004, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508).

[29]  Ufuk Topcu,et al.  Risk-mitigated optimal power flow for wind powered grids , 2012, 2012 American Control Conference (ACC).

[30]  Kai Heussen,et al.  Energy storage in power system operation: The power nodes modeling framework , 2010, 2010 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT Europe).

[31]  J. Momoh.  Electric Power System Applications of Optimization , 2000 .

[32]  Timothy Yau,et al.  Effects of Battery Storage Devices on Power System Dispatch , 1981, IEEE Transactions on Power Apparatus and Systems.

[33]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[34]  Stephen C. Peck,et al.  A market mechanism for electric power transmission , 1996 .

[35]  S. Low,et al.  Zero Duality Gap in Optimal Power Flow Problem , 2012, IEEE Transactions on Power Systems.

[36]  Javad Lavaei,et al.  Convexification of optimal power flow problem , 2010, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton).