Operation under Uncertainty in Electric Grid: A Multiparametric Programming Approach

[1]  James S. Thorp,et al.  Coordinated interchange scheduling and opportunity cost payment: a market proposal to seams issues , 2004 .

[2]  Mohammad Shahidehpour,et al.  Adaptive Robust Tie-Line Scheduling Considering Wind Power Uncertainty for Interconnected Power Systems , 2016, IEEE Transactions on Power Systems.

[3]  Lang Tong,et al.  Forecasting real-time locational marginal price: A state space approach , 2013, 2013 Asilomar Conference on Signals, Systems and Computers.

[4]  F. Zhao,et al.  A Marginal Equivalent Decomposition Method and Its Application to Multi-Area Optimal Power Flow Problems , 2014, IEEE Transactions on Power Systems.

[5]  Clifford Hildreth,et al.  A quadratic programming procedure , 1957 .

[6]  Joseph G. Ecker,et al.  Postoptimal analyses, parametric programming, and related topics: McGraw-Hill, Düsseldorf, 1979, xvii + 380 pages, DM 104.- , 1981 .

[7]  Paul Denholm,et al.  Renewable Electricity Futures Study. Volume 1. Exploration of High-Penetration Renewable Electricity Futures , 2012 .

[8]  Manfred Morari,et al.  Multi-Parametric Toolbox 3.0 , 2013, 2013 European Control Conference (ECC).

[9]  William W. Hogan,et al.  MARKET COORDINATION OF TRANSMISSION LOADING RELIEF ACROSS MULTIPLE REGIONS , 1998 .

[10]  Tongxin Zheng,et al.  Ex post pricing in the co-optimized energy and reserve market , 2012, 2012 IEEE Power and Energy Society General Meeting.

[11]  Alberto Bemporad,et al.  Predictive Control for Linear and Hybrid Systems , 2017 .

[12]  Kory W. Hedman,et al.  A review of transmission switching and network topology optimization , 2011, 2011 IEEE Power and Energy Society General Meeting.

[13]  R D Zimmerman,et al.  MATPOWER: Steady-State Operations, Planning, and Analysis Tools for Power Systems Research and Education , 2011, IEEE Transactions on Power Systems.

[14]  M. Morari,et al.  Geometric Algorithm for Multiparametric Linear Programming , 2003 .

[15]  Michael Elad,et al.  Dictionaries for Sparse Representation Modeling , 2010, Proceedings of the IEEE.

[16]  T. Gál,et al.  Multiparametric Linear Programming , 1972 .

[17]  Efstratios N. Pistikopoulos,et al.  Theoretical and algorithmic advances in multi-parametric programming and control , 2012, Comput. Manag. Sci..

[18]  John M. Wilson,et al.  Advances in Sensitivity Analysis and Parametric Programming , 1998, J. Oper. Res. Soc..

[19]  A. Conejo,et al.  Multi-area coordinated decentralized DC optimal power flow , 1998 .

[20]  A. Conejo,et al.  Multi-Area Energy and Reserve Dispatch Under Wind Uncertainty and Equipment Failures , 2013, IEEE Transactions on Power Systems.

[21]  Alberto Bemporad,et al.  The explicit linear quadratic regulator for constrained systems , 2003, Autom..

[22]  Renato D. C. Monteiro,et al.  A geometric view of parametric linear programming , 1992, Algorithmica.

[23]  T. L. Saaty,et al.  The computational algorithm for the parametric objective function , 1955 .

[24]  Meysam Doostizadeh,et al.  Multi-area market clearing in wind-integrated interconnected power systems: A fast parallel decentralized method , 2016 .

[25]  A. Ott,et al.  Experience with PJM market operation, system design, and implementation , 2003 .

[26]  L. Tesfatsion,et al.  Short-Term Congestion Forecasting in Wholesale Power Markets , 2011, IEEE Transactions on Power Systems.

[27]  R. Weron Electricity price forecasting: A review of the state-of-the-art with a look into the future , 2014 .

[28]  Joseph F. Murray,et al.  Dictionary Learning Algorithms for Sparse Representation , 2003, Neural Computation.

[29]  P. Tseng Convergence of a Block Coordinate Descent Method for Nondifferentiable Minimization , 2001 .

[30]  M. Morari,et al.  Nonlinear parametric optimization using cylindrical algebraic decomposition , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[31]  Pei Zhang,et al.  Short-term probabilistic transmission congestion forecasting , 2008, 2008 Third International Conference on Electric Utility Deregulation and Restructuring and Power Technologies.

[32]  Ross Baldick,et al.  Coordinated dispatch of regional transmission organizations: Theory and example , 2014, Comput. Oper. Res..

[33]  Ross Baldick,et al.  Coarse-grained distributed optimal power flow , 1997 .

[34]  P. Tseng,et al.  On the convergence of the coordinate descent method for convex differentiable minimization , 1992 .

[35]  G. Brier VERIFICATION OF FORECASTS EXPRESSED IN TERMS OF PROBABILITY , 1950 .